Example figs done.

Former-commit-id: df68c97337db3f77c327482efb13fa329edd2eeb

lepaper/Tmatrix.bib

@@ -108,7 +108,7 @@
   pages = {325--333},
   issn = {0377-0427},
   doi = {10.1016/S0377-0427(01)00371-5},
-  abstract = {Based on the argument principle, we propose an adaptive multilevel subdivision algorithm for the computation of all the zeros of an analytic function f:C\textrightarrow{}C within a bounded domain. We illustrate the reliability of this method by several numerical examples.},
+  abstract = {Based on the argument principle, we propose an adaptive multilevel subdivision algorithm for the computation of all the zeros of an analytic function f:C\textrightarrow C within a bounded domain. We illustrate the reliability of this method by several numerical examples.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/N94AQS97/Dellnitz ym. - 2002 - Locating all the zeros of an analytic function in .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/3NBRMW5T/S0377042701003715.html},
   journal = {Journal of Computational and Applied Mathematics},
   keywords = {Argument principle,Global zero finding},
@@ -227,7 +227,7 @@
   pages = {739--744},
   issn = {1745-2481},
   doi = {10.1038/s41567-018-0109-9},
-  abstract = {Surface plasmon polaritons in an array of metallic nanoparticles evolve quickly into the band minimum by interacting with a molecule bath, forming a Bose\textendash{}Einstein condensate at room temperature within picoseconds.},
+  abstract = {Surface plasmon polaritons in an array of metallic nanoparticles evolve quickly into the band minimum by interacting with a molecule bath, forming a Bose\textendash Einstein condensate at room temperature within picoseconds.},
   copyright = {2018 The Author(s)},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/THHLXPYG/Hakala ym. - 2018 - Bose–Einstein condensation in a plasmonic lattice.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/VF4E9DUP/s41567-018-0109-9.html},
   journal = {Nature Phys},
@@ -278,7 +278,7 @@
 @article{homola_surface_1999,
   title = {Surface Plasmon Resonance Sensors: Review},
   shorttitle = {Surface Plasmon Resonance Sensors},
-  author = {Homola, Ji{\v r}{\'\i} and Yee, Sinclair S. and Gauglitz, G{\"u}nter},
+  author = {Homola, Ji{\v r}{\'{\i}} and Yee, Sinclair S. and Gauglitz, G{\"u}nter},
   year = {1999},
   month = jan,
   volume = {54},
@@ -389,7 +389,7 @@
   month = may,
   volume = {6},
   doi = {10.1038/ncomms8072},
-  abstract = {Structuring metallic and magnetic materials on subwavelength scales allows for extreme confinement and a versatile design of electromagnetic field modes. This may be used, for example, to enhance magneto-optical responses, to control plasmonic systems using a magnetic field, or to tailor magneto-optical properties of individual nanostructures. Here we show that periodic rectangular arrays of magnetic nanoparticles display surface plasmon modes in which the two directions of the lattice are coupled by the magnetic field-controllable spin\textendash{}orbit coupling in the nanoparticles. When breaking the symmetry of the lattice, we find that the optical response shows Fano-type surface lattice resonances whose frequency is determined by the periodicity orthogonal to the polarization of the incident field. In striking contrast, the magneto-optical Kerr response is controlled by the period in the parallel direction. The spectral separation of the response for longitudinal and orthogonal excitations provides versatile tuning of narrow and intense magneto-optical resonances.},
+  abstract = {Structuring metallic and magnetic materials on subwavelength scales allows for extreme confinement and a versatile design of electromagnetic field modes. This may be used, for example, to enhance magneto-optical responses, to control plasmonic systems using a magnetic field, or to tailor magneto-optical properties of individual nanostructures. Here we show that periodic rectangular arrays of magnetic nanoparticles display surface plasmon modes in which the two directions of the lattice are coupled by the magnetic field-controllable spin\textendash orbit coupling in the nanoparticles. When breaking the symmetry of the lattice, we find that the optical response shows Fano-type surface lattice resonances whose frequency is determined by the periodicity orthogonal to the polarization of the incident field. In striking contrast, the magneto-optical Kerr response is controlled by the period in the parallel direction. The spectral separation of the response for longitudinal and orthogonal excitations provides versatile tuning of narrow and intense magneto-optical resonances.},
   copyright = {\textcopyright{} 2015 Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/GDR96XWW/Kataja et al. - 2015 - Surface lattice resonances and magneto-optical res.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/AX6SRK29/ncomms8072.html;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/XXQ2SNEH/ncomms8072.html},
   journal = {Nat Commun},
@@ -411,8 +411,8 @@ High-end imaging lenses have tended to be based on bulk optical components. Adva
 Science, this issue p. eaam8100
 Structured Abstract
 BACKGROUNDFuture high-performance portable and wearable optical devices and systems with small footprints and low weights will require components with small form factors and enhanced functionality. Planar components based on diffractive optics (e.g., gratings, Fresnel lenses) and thin-film optics (e.g., dielectric filters, Bragg reflectors) have been around for decades; however, their limited functionality and difficulty of integration have been key incentives to search for better alternatives. Owing to its potential for vertical integration and marked design flexibility, metasurface-based flat optics provides a rare opportunity to overcome these challenges. The building blocks (BBs) of metasurfaces are subwavelength-spaced scatterers. By suitably adjusting their shape, size, position, and orientation with high spatial resolution, one can control the basic properties of light (phase, amplitude, polarization) and thus engineer its wavefront at will. This possibility greatly expands the frontiers of optical design by enabling multifunctional components with attendant reduction of thickness, size, and complexity.
-ADVANCESRecent progress in fabrication techniques and in the theory and design of metasurfaces holds promise for this new optical platform (metaoptics) to replace or complement conventional components in many applications. One major advance has been the migration to all-dielectric metasurfaces. Here, we discuss the key advantages of using dielectric phase-shifting elements with low optical loss and strong light confinement in the visible and near-infrared regions as BBs of flat lenses (metalenses). High\textendash{}numerical aperture metalenses that are free of spherical aberrations have been implemented to achieve diffraction-limited focusing with subwavelength resolution, without requiring the complex shapes of aspherical lenses. Achromatic metalenses at discrete wavelengths and over a bandwidth have been realized by dispersion engineering of the phase shifters. By suitably adjusting the geometrical parameters of the latter, one can impart polarization- and wavelength-dependent phases to realize multifunctional metalenses with only one ultrathin layer. For example, polarization-sensitive flat lenses for chiral imaging and circular dichroism spectroscopy with high resolution have been realized, and off-axis metalenses with large engineered angular dispersion have been used to demonstrate miniature spectrometers. The fabrication of metalenses is straightforward and often requires one-step lithography, which can be based on high-throughput techniques such as deep-ultraviolet and nanoimprint lithography.
+ADVANCESRecent progress in fabrication techniques and in the theory and design of metasurfaces holds promise for this new optical platform (metaoptics) to replace or complement conventional components in many applications. One major advance has been the migration to all-dielectric metasurfaces. Here, we discuss the key advantages of using dielectric phase-shifting elements with low optical loss and strong light confinement in the visible and near-infrared regions as BBs of flat lenses (metalenses). High\textendash numerical aperture metalenses that are free of spherical aberrations have been implemented to achieve diffraction-limited focusing with subwavelength resolution, without requiring the complex shapes of aspherical lenses. Achromatic metalenses at discrete wavelengths and over a bandwidth have been realized by dispersion engineering of the phase shifters. By suitably adjusting the geometrical parameters of the latter, one can impart polarization- and wavelength-dependent phases to realize multifunctional metalenses with only one ultrathin layer. For example, polarization-sensitive flat lenses for chiral imaging and circular dichroism spectroscopy with high resolution have been realized, and off-axis metalenses with large engineered angular dispersion have been used to demonstrate miniature spectrometers. The fabrication of metalenses is straightforward and often requires one-step lithography, which can be based on high-throughput techniques such as deep-ultraviolet and nanoimprint lithography.
-OUTLOOKIn the near future, the ability to fabricate metalenses and other metaoptical components with a planar process using the same lithographic tools for manufacturing integrated circuits (ICs) will have far-reaching implications. We envision that camera modules widely employed in cell phones, laptops, and myriad applications will become thinner and easier to optically align and package, with metalenses and the complementary metal-oxide semiconductor\textendash{}compatible sensor manufactured by the same foundries. The unprecedented design freedom of metalenses and other metasurface optical components will greatly expand the range of applications of micro-optics and integrated optics. We foresee a rapidly increasing density of nanoscale optical elements on metasurface-based chips, with attendant marked increases in performance and number of functionalities. Such digital optics will probably follow a Moore-like law, similar to that governing the scaling of ICs, leading to a wide range of high-volume applications. {$<$}img class="fragment-image" aria-describedby="F1-caption" src="https://science.sciencemag.org/content/sci/358/6367/eaam8100/F1.medium.gif"/{$>$} Download high-res image Open in new tab Download Powerpoint All-dielectric metalenses.(A) Schematic of a dielectric pillar acting as a truncated waveguide for phase-shifting the incident light. (B) Top-view scanning electron microscopy image of a metalens based on titanium dioxide, with dielectric pillars as BBs. (C) Schematic of an achromatic metalens realized by engineering the dispersive response of its BBs. (D) Schematic of a chiral metalens that spatially separates and focuses light with different helicities. (E) Schematic of a metalens that simultaneously focuses and disperses the incident light. (F) Illustration of the concept of vertically stacking metasurfaces to build miniaturized multifunctional systems.ILLUSTRATIONS: RYAN ALLEN/SECOND BAY STUDIOS
+OUTLOOKIn the near future, the ability to fabricate metalenses and other metaoptical components with a planar process using the same lithographic tools for manufacturing integrated circuits (ICs) will have far-reaching implications. We envision that camera modules widely employed in cell phones, laptops, and myriad applications will become thinner and easier to optically align and package, with metalenses and the complementary metal-oxide semiconductor\textendash compatible sensor manufactured by the same foundries. The unprecedented design freedom of metalenses and other metasurface optical components will greatly expand the range of applications of micro-optics and integrated optics. We foresee a rapidly increasing density of nanoscale optical elements on metasurface-based chips, with attendant marked increases in performance and number of functionalities. Such digital optics will probably follow a Moore-like law, similar to that governing the scaling of ICs, leading to a wide range of high-volume applications. {$<$}img class="fragment-image" aria-describedby="F1-caption" src="https://science.sciencemag.org/content/sci/358/6367/eaam8100/F1.medium.gif"/{$>$} Download high-res image Open in new tab Download Powerpoint All-dielectric metalenses.(A) Schematic of a dielectric pillar acting as a truncated waveguide for phase-shifting the incident light. (B) Top-view scanning electron microscopy image of a metalens based on titanium dioxide, with dielectric pillars as BBs. (C) Schematic of an achromatic metalens realized by engineering the dispersive response of its BBs. (D) Schematic of a chiral metalens that spatially separates and focuses light with different helicities. (E) Schematic of a metalens that simultaneously focuses and disperses the incident light. (F) Illustration of the concept of vertically stacking metasurfaces to build miniaturized multifunctional systems.ILLUSTRATIONS: RYAN ALLEN/SECOND BAY STUDIOS
 Recent progress in metasurface designs fueled by advanced-fabrication techniques has led to the realization of ultrathin, lightweight, and flat lenses (metalenses) with unprecedented functionalities. Owing to straightforward fabrication, generally requiring a single-step lithography, and the possibility of vertical integration, these planar lenses can potentially replace or complement their conventional refractive and diffractive counterparts, leading to further miniaturization of high-performance optical devices and systems. Here we provide a brief overview of the evolution of metalenses, with an emphasis on the visible and near-infrared spectrum, and summarize their important features: diffraction-limited focusing, high-quality imaging, and multifunctionalities. We discuss impending challenges, including aberration correction, and also examine current issues and solutions. We conclude by providing an outlook of this technology platform and identifying promising directions for future research.},
   copyright = {Copyright \textcopyright{} 2017 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. http://www.sciencemag.org/about/science-licenses-journal-article-reuseThis is an article distributed under the terms of the Science Journals Default License.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NPX5AUUA/Khorasaninejad ja Capasso - 2017 - Metalenses Versatile multifunctional photonic com.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NG6H22BA/eaam8100.html},
@@ -433,7 +433,7 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
   publisher = {{American Chemical Society}},
   issn = {0009-2665},
   doi = {10.1021/acs.chemrev.8b00243},
-  abstract = {When metal nanoparticles are arranged in an ordered array, they may scatter light to produce diffracted waves. If one of the diffracted waves then propagates in the plane of the array, it may couple the localized plasmon resonances associated with individual nanoparticles together, leading to an exciting phenomenon, the drastic narrowing of plasmon resonances, down to 1\textendash{}2 nm in spectral width. This presents a dramatic improvement compared to a typical single particle resonance line width of {$>$}80 nm. The very high quality factors of these diffractively coupled plasmon resonances, often referred to as plasmonic surface lattice resonances, and related effects have made this topic a very active and exciting field for fundamental research, and increasingly, these resonances have been investigated for their potential in the development of practical devices for communications, optoelectronics, photovoltaics, data storage, biosensing, and other applications. In the present review article, we describe the basic physical principles and properties of plasmonic surface lattice resonances: the width and quality of the resonances, singularities of the light phase, electric field enhancement, etc. We pay special attention to the conditions of their excitation in different experimental architectures by considering the following: in-plane and out-of-plane polarizations of the incident light, symmetric and asymmetric optical (refractive index) environments, the presence of substrate conductivity, and the presence of an active or magnetic medium. Finally, we review recent progress in applications of plasmonic surface lattice resonances in various fields.},
+  abstract = {When metal nanoparticles are arranged in an ordered array, they may scatter light to produce diffracted waves. If one of the diffracted waves then propagates in the plane of the array, it may couple the localized plasmon resonances associated with individual nanoparticles together, leading to an exciting phenomenon, the drastic narrowing of plasmon resonances, down to 1\textendash 2 nm in spectral width. This presents a dramatic improvement compared to a typical single particle resonance line width of {$>$}80 nm. The very high quality factors of these diffractively coupled plasmon resonances, often referred to as plasmonic surface lattice resonances, and related effects have made this topic a very active and exciting field for fundamental research, and increasingly, these resonances have been investigated for their potential in the development of practical devices for communications, optoelectronics, photovoltaics, data storage, biosensing, and other applications. In the present review article, we describe the basic physical principles and properties of plasmonic surface lattice resonances: the width and quality of the resonances, singularities of the light phase, electric field enhancement, etc. We pay special attention to the conditions of their excitation in different experimental architectures by considering the following: in-plane and out-of-plane polarizations of the incident light, symmetric and asymmetric optical (refractive index) environments, the presence of substrate conductivity, and the presence of an active or magnetic medium. Finally, we review recent progress in applications of plasmonic surface lattice resonances in various fields.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NQVFMH4Z/Kravets ym. - 2018 - Plasmonic Surface Lattice Resonances A Review of .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/6UA9UJCK/acs.chemrev.html},
   journal = {Chem. Rev.},
   number = {12}
@@ -482,7 +482,7 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
   pages = {630--674},
   issn = {0036-1445},
   doi = {10.1137/09075130X},
-  abstract = {A survey of different representations for lattice sums for the Helmholtz equation is made. These sums arise naturally when dealing with wave scattering by periodic structures. One of the main objectives is to show how the various forms depend on the dimension d of the underlying space and the lattice dimension \$d\_\textbackslash{}Lambda\$. Lattice sums are related to, and can be calculated from, the quasi-periodic Green's function and this object serves as the starting point of the analysis.},
+  abstract = {A survey of different representations for lattice sums for the Helmholtz equation is made. These sums arise naturally when dealing with wave scattering by periodic structures. One of the main objectives is to show how the various forms depend on the dimension d of the underlying space and the lattice dimension \$d\_\textbackslash Lambda\$. Lattice sums are related to, and can be calculated from, the quasi-periodic Green's function and this object serves as the starting point of the analysis.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/T86ATKYB/09075130x.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ETB8X4S9/09075130X.html},
   journal = {SIAM Rev.},
   number = {4}
@@ -565,7 +565,7 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
   abstract = {An effective medium approach is developed for describing the radiative scattering characteristics of large-scale clusters of spheres. The formulation assumes that the waves exciting each sphere in the cluster can be described by a regular vector harmonic expansion, centered about a common origin of the cluster, and characterized by an effective propagation constant mek. By combining this description with the multiple sphere interaction equations a `homogeneous' T matrix of the cluster is derived, which is analogous to using the effective propagation constant models of the Varadans in conjunction with Waterman's EBCM. However, it is shown that the homogeneous T matrix will not automatically satisfy energy conservation because it cannot account for dependent scattering effects among the spheres. A `discrete' formulation of the T matrix is then developed which retains the effective medium description of the exciting field yet provides for energy conservation. Illustrative calculations show that the effective medium T matrix can provide accurate predictions of the cross sections and scattering matrices of clusters containing a large number of uniformly packed spheres, yet this approximation uses a fraction of the computational time required for an exact solution.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/9E7R7IRX/Mackowski - 2001 - An effective medium method for calculation of the .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/D75CJ78C/S002240730100022X.html},
   journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
-  number = {4\textendash{}6},
+  number = {4\textendash 6},
   series = {Light {{Scattering}} by {{Non}}-{{Spherical Particles}}}
 }
 
@@ -607,7 +607,6 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
   abstract = {The coupled-dipole approximation is used to study theoretically the scattering of light from an infinite linear one-dimensional chain of monomers interacting via dipole fields. It is shown that if the distance between monomers is much less then {$\lambda$}, the shift of optical resonances is governed by only interaction in the near-zone, and the spectral width of resonances, on the contrary, by interaction in all zones (near, intermediate and far-zone). The condition under which the developed theory yields correct depolarization coefficients of a dielectric cylinder in a quasi-static case is found. The extinction cross-section is calculated as a function of driving frequency.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/2PUQ58NM/Markel - 1993 - Coupled-dipole Approach to Scattering of Light fro.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/AIX3HK3Q/09500349314552291.html},
   journal = {Journal of Modern Optics},
-  note = {\_eprint: https://doi.org/10.1080/09500349314552291},
   number = {11}
 }
 
@@ -698,10 +697,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
   pages = {16--21},
   issn = {0030-4018},
   doi = {10.1016/0030-4018(94)90731-5},
-  abstract = {It is well known that T-matrix computations of light scattering by nonspherical particles may suffer from the ill-conditionality of the process of matrix inversion, which has precluded calculations for particle size parameters larger than about 25. It is demonstrated that calculating the T-matrix using extended-precision instead of double-precision floating-point variables is an effective approach for suppressing the numerical instability in computations for spheroids and allows one to increase the maximum particle size parameter for which T-matrix computations converge by as significant a factor as 2\textendash{}2.7. Yet this approach requires only a negligibly small extra memory, an affordable increase in CPU time consumption, and practically no additional programming effort. As a result, the range of particle size parameters, for which rigorous T-matrix computations of spheroidal scattering can be performed, now covers a substantial fraction of the gap between the domains of applicability of the Rayleigh and geometrical optics approximations.},
+  abstract = {It is well known that T-matrix computations of light scattering by nonspherical particles may suffer from the ill-conditionality of the process of matrix inversion, which has precluded calculations for particle size parameters larger than about 25. It is demonstrated that calculating the T-matrix using extended-precision instead of double-precision floating-point variables is an effective approach for suppressing the numerical instability in computations for spheroids and allows one to increase the maximum particle size parameter for which T-matrix computations converge by as significant a factor as 2\textendash 2.7. Yet this approach requires only a negligibly small extra memory, an affordable increase in CPU time consumption, and practically no additional programming effort. As a result, the range of particle size parameters, for which rigorous T-matrix computations of spheroidal scattering can be performed, now covers a substantial fraction of the gap between the domains of applicability of the Rayleigh and geometrical optics approximations.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/FT8KN354/mishchenko1994.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/TB425HGN/0030401894907315.html},
   journal = {Optics Communications},
-  number = {1\textendash{}2}
+  number = {1\textendash 2}
 }
 
 @article{mishchenko_t-matrix_1996,
@@ -775,8 +774,7 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
 @article{NIST:DLMF,
   title = {{{NIST Digital Library}} of {{Mathematical Functions}}},
   url = {http://dlmf.nist.gov/},
-  key = {DLMF},
+  key = {DLMF}
-  note = {F.~W.~J. Olver, A.~B. Olde Daalhuis, D.~W. Lozier, B.~I. Schneider, R.~F. Boisvert, C.~W. Clark, B.~R. Miller and B.~V. Saunders, eds.}
 }
 
 @misc{noauthor_nanoparticle_nodate,
@@ -884,7 +882,7 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
 mirrors and contacts in optoelectronic and optical devices: noble
 metals (Ag, Au, Cu), aluminum, beryllium, and transition metals
 (Cr, Ni, Pd, Pt, Ti, W). We used two simple phenomenological
-models, the Lorentz\textendash{}Drude (LD) and the Brendel\textendash{}Bormann (BB),
+models, the Lorentz\textendash Drude (LD) and the Brendel\textendash Bormann (BB),
 to interpret both the free-electron and the interband parts of the
 dielectric response of metals in a wide spectral range from 0.1 to 6
 eV. Our results show that the BB model was needed to describe
@@ -892,7 +890,7 @@ appropriately the interband absorption in noble metals, while for Al,
 Be, and the transition metals both models exhibit good agreement with
 the experimental data. A comparison with measurements on surface
 normal structures confirmed that the reflectance and the phase change
-on reflection from semiconductor\textendash{}metal interfaces (including the
+on reflection from semiconductor\textendash metal interfaces (including the
 case of metallic multilayers) can be accurately described by use of
 the proposed models for the optical functions of metallic films and the
 matrix method for multilayer calculations.},
@@ -913,7 +911,7 @@ matrix method for multilayer calculations.},
   pages = {31--37},
   issn = {2334-2536},
   doi = {10.1364/OPTICA.4.000031},
-  abstract = {Metallic nanostructures provide a toolkit for the generation of coherent light below the diffraction limit. Plasmonic-based lasing relies on the population inversion of emitters (such as organic fluorophores) along with feedback provided by plasmonic resonances. In this regime, known as weak light\textendash{}matter coupling, the radiative characteristics of the system can be described by the Purcell effect. Strong light\textendash{}matter coupling between the molecular excitons and electromagnetic field generated by the plasmonic structures leads to the formation of hybrid quasi-particles known as plasmon-exciton-polaritons (PEPs). Due to the bosonic character of these quasi-particles, exciton-polariton condensation can lead to laser-like emission at much lower threshold powers than in conventional photon lasers. Here, we observe PEP lasing through a dark plasmonic mode in an array of metallic nanoparticles with a low threshold in an optically pumped organic system. Interestingly, the threshold power of the lasing is reduced by increasing the degree of light\textendash{}matter coupling in spite of the degradation of the quantum efficiency of the active material, highlighting the ultrafast dynamic responsible for the lasing, i.e., stimulated scattering. These results demonstrate a unique room-temperature platform for exploring the physics of exciton-polaritons in an open-cavity architecture and pave the road toward the integration of this on-chip lasing device with the current photonics and active metamaterial planar technologies.},
+  abstract = {Metallic nanostructures provide a toolkit for the generation of coherent light below the diffraction limit. Plasmonic-based lasing relies on the population inversion of emitters (such as organic fluorophores) along with feedback provided by plasmonic resonances. In this regime, known as weak light\textendash matter coupling, the radiative characteristics of the system can be described by the Purcell effect. Strong light\textendash matter coupling between the molecular excitons and electromagnetic field generated by the plasmonic structures leads to the formation of hybrid quasi-particles known as plasmon-exciton-polaritons (PEPs). Due to the bosonic character of these quasi-particles, exciton-polariton condensation can lead to laser-like emission at much lower threshold powers than in conventional photon lasers. Here, we observe PEP lasing through a dark plasmonic mode in an array of metallic nanoparticles with a low threshold in an optically pumped organic system. Interestingly, the threshold power of the lasing is reduced by increasing the degree of light\textendash matter coupling in spite of the degradation of the quantum efficiency of the active material, highlighting the ultrafast dynamic responsible for the lasing, i.e., stimulated scattering. These results demonstrate a unique room-temperature platform for exploring the physics of exciton-polaritons in an open-cavity architecture and pave the road toward the integration of this on-chip lasing device with the current photonics and active metamaterial planar technologies.},
   archivePrefix = {arXiv},
   copyright = {\textcopyright{} 2016 Optical Society of America},
   eprint = {1606.06866},
@@ -952,7 +950,7 @@ matrix method for multilayer calculations.},
   pages = {3588--3598},
   issn = {0018-926X, 1558-2221},
   doi = {10.1109/TAP.2015.2438393},
-  abstract = {We present concise, computationally efficient formulas for several quantities of interest -- including absorbed and scattered power, optical force (radiation pressure), and torque -- in scattering calculations performed using the boundary-element method (BEM) [also known as the method of moments (MOM)]. Our formulas compute the quantities of interest \textbackslash{}textit\{directly\} from the BEM surface currents with no need ever to compute the scattered electromagnetic fields. We derive our new formulas and demonstrate their effectiveness by computing power, force, and torque in a number of example geometries. Free, open-source software implementations of our formulas are available for download online.},
+  abstract = {We present concise, computationally efficient formulas for several quantities of interest -- including absorbed and scattered power, optical force (radiation pressure), and torque -- in scattering calculations performed using the boundary-element method (BEM) [also known as the method of moments (MOM)]. Our formulas compute the quantities of interest \textbackslash textit\{directly\} from the BEM surface currents with no need ever to compute the scattered electromagnetic fields. We derive our new formulas and demonstrate their effectiveness by computing power, force, and torque in a number of example geometries. Free, open-source software implementations of our formulas are available for download online.},
   archivePrefix = {arXiv},
   eprint = {1307.2966},
   eprinttype = {arxiv},
@@ -988,15 +986,13 @@ matrix method for multilayer calculations.},
 @misc{SCUFF/MMN,
   title = {{{SCUFF}}-{{EM}}},
   author = {Reid, Homer},
-  year = {2018},
+  year = {2018}
-  note = {https://github.com/texnokrates/scuff-em}
 }
 
 @misc{SCUFF2,
   title = {{{SCUFF}}-{{EM}}},
   author = {Reid, Homer},
-  year = {2018},
+  year = {2018}
-  note = {http://github.com/homerreid/scuff-EM}
 }
 
 @book{sullivan_electromagnetic_2013,
@@ -1088,6 +1084,51 @@ matrix method for multilayer calculations.},
   number = {1}
 }
 
+@article{twersky_lattice_1975,
+  title = {Lattice Sums and Scattering Coefficients for the Rectangular Planar Array},
+  author = {Twersky, Victor},
+  year = {1975},
+  month = mar,
+  volume = {16},
+  pages = {644--657},
+  publisher = {{American Institute of Physics}},
+  issn = {0022-2488},
+  doi = {10.1063/1.522564},
+  file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/EEGEAF6R/Twersky - 1975 - Lattice sums and scattering coefficients for the r.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/PFP5FDYL/1.html},
+  journal = {Journal of Mathematical Physics},
+  number = {3}
+}
+
+@article{twersky_low_1975,
+  title = {Low Frequency Coupling in the Planar Rectangular Lattice},
+  author = {Twersky, Victor},
+  year = {1975},
+  month = mar,
+  volume = {16},
+  pages = {658--666},
+  publisher = {{American Institute of Physics}},
+  issn = {0022-2488},
+  doi = {10.1063/1.522576},
+  file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/4YHDM3P8/Twersky - 1975 - Low frequency coupling in the planar rectangular l.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/X4PABHIH/1.html},
+  journal = {Journal of Mathematical Physics},
+  number = {3}
+}
+
+@article{twersky_multiple_1975,
+  title = {Multiple Scattering of Waves by the Doubly Periodic Planar Array of Obstacles},
+  author = {Twersky, Victor},
+  year = {1975},
+  month = mar,
+  volume = {16},
+  pages = {633--643},
+  publisher = {{American Institute of Physics}},
+  issn = {0022-2488},
+  doi = {10.1063/1.522563},
+  file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/R32ZH4WM/Twersky - 1975 - Multiple scattering of waves by the doubly periodi.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NX5M8PMR/1.html},
+  journal = {Journal of Mathematical Physics},
+  number = {3}
+}
+
 @article{vakevainen_plasmonic_2014,
   title = {Plasmonic {{Surface Lattice Resonances}} at the {{Strong Coupling Regime}}},
   author = {V{\"a}kev{\"a}inen, A. I. and Moerland, R. J. and Rekola, H. T. and Eskelinen, A.-P. and Martikainen, J.-P. and Kim, D.-H. and T{\"o}rm{\"a}, P.},
@@ -1104,18 +1145,26 @@ matrix method for multilayer calculations.},
 }
 
 @article{vakevainen_sub-picosecond_2020,
+  ids = {vakevainen\_sub-picosecond\_2020},
   title = {Sub-Picosecond Thermalization Dynamics in Condensation of Strongly Coupled Lattice Plasmons},
   author = {V{\"a}kev{\"a}inen, Aaro I. and Moilanen, Antti J. and Ne{\v c}ada, Marek and Hakala, Tommi K. and Daskalakis, Konstantinos S. and T{\"o}rm{\"a}, P{\"a}ivi},
   year = {2020},
-  month = apr,
+  month = jun,
-  abstract = {Bosonic condensates offer exciting prospects for studies of non-equilibrium quantum dynamics. Understanding the dynamics is particularly challenging in the sub-picosecond timescales typical for room temperature luminous driven-dissipative condensates. Here we combine a lattice of plasmonic nanoparticles with dye molecule solution at the strong coupling regime, and pump the molecules optically. The emitted light reveals three distinct regimes: one-dimensional lasing, incomplete stimulated thermalization, and two-dimensional multimode condensation. The condensate is achieved by matching the thermalization rate with the lattice size and occurs only for pump pulse durations below a critical value. Our results give access to control and monitoring of thermalization processes and condensate formation at sub-picosecond timescale.},
+  volume = {11},
+  pages = {1--12},
+  publisher = {{Nature Publishing Group}},
+  issn = {2041-1723},
+  doi = {10.1038/s41467-020-16906-1},
+  abstract = {Bosonic condensates offer exciting prospects for studies of non-equilibrium quantum dynamics. Understanding the dynamics is particularly challenging in the sub-picosecond timescales typical for room temperature luminous driven-dissipative condensates. Here we combine a lattice of plasmonic nanoparticles with dye molecule solution at the strong coupling regime, and pump the molecules optically. The emitted light reveals three distinct regimes: one-dimensional lasing, incomplete stimulated thermalization, and two-dimensional multimode condensation. The condensate is achieved by matching the thermalization rate with the lattice size and occurs only for pump pulse durations below a critical value. Our results give access to control and monitoring of thermalization processes and condensate formation at sub-picosecond timescale. Understanding the sub-picosecond dynamics of driven-dissipative condensates of interacting bosons is challenging. Here the authors combine a lattice of plasmonic nanoparticles with a dye molecule solution in strong coupling and reveal distinct lasing, stimulated thermalization, and condensation regimes.},
   archivePrefix = {arXiv},
+  copyright = {2020 The Author(s)},
   eprint = {1905.07609},
   eprinttype = {arxiv},
-  file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/MBT8ZJVY/Väkeväinen ym. - 2020 - Sub-picosecond thermalization dynamics in condensa.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/X9C9ZANZ/1905.html},
+  file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/MBT8ZJVY/Väkeväinen ym. - 2020 - Sub-picosecond thermalization dynamics in condensa.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/VSAZSCYD/Väkeväinen ym. - 2020 - Sub-picosecond thermalization dynamics in condensa.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/3CPKHADR/s41467-020-16906-1.html;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/X9C9ZANZ/1905.html},
-  journal = {arXiv:1905.07609 [cond-mat, physics:physics, physics:quant-ph]},
+  journal = {Nature Communications},
   keywords = {Condensed Matter - Quantum Gases,Physics - Optics,Quantum Physics},
-  primaryClass = {cond-mat, physics:physics, physics:quant-ph}
+  language = {en},
+  number = {1}
 }
 
 @article{varadan_comments_1988,
@@ -1141,7 +1190,7 @@ matrix method for multilayer calculations.},
   pages = {303--314},
   issn = {1369-7021},
   doi = {10.1016/j.mattod.2017.09.002},
-  abstract = {Metal nanoparticle arrays that support surface lattice resonances have emerged as an exciting platform for manipulating light\textendash{}matter interactions at the nanoscale and enabling a diverse range of applications. Their recent prominence can be attributed to a combination of desirable photonic and plasmonic attributes: high electromagnetic field enhancements extended over large volumes with long-lived lifetimes. This Review will describe the design rules for achieving high-quality optical responses from metal nanoparticle arrays, nanofabrication advances that have enabled their production, and the theory that inspired their experimental realization. Rich fundamental insights will focus on weak and strong coupling with molecular excitons, as well as semiconductor excitons and the lattice resonances. Applications related to nanoscale lasing, solid-state lighting, and optical devices will be discussed. Finally, prospects and future open questions will be described.},
+  abstract = {Metal nanoparticle arrays that support surface lattice resonances have emerged as an exciting platform for manipulating light\textendash matter interactions at the nanoscale and enabling a diverse range of applications. Their recent prominence can be attributed to a combination of desirable photonic and plasmonic attributes: high electromagnetic field enhancements extended over large volumes with long-lived lifetimes. This Review will describe the design rules for achieving high-quality optical responses from metal nanoparticle arrays, nanofabrication advances that have enabled their production, and the theory that inspired their experimental realization. Rich fundamental insights will focus on weak and strong coupling with molecular excitons, as well as semiconductor excitons and the lattice resonances. Applications related to nanoscale lasing, solid-state lighting, and optical devices will be discussed. Finally, prospects and future open questions will be described.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/QZXJBPIT/Wang et al. - 2018 - The rich photonic world of plasmonic nanoparticle .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/IHJ6YXLB/S1369702117306727.html},
   journal = {Materials Today},
   number = {3}
@@ -1157,7 +1206,7 @@ matrix method for multilayer calculations.},
   publisher = {{American Chemical Society}},
   issn = {0009-2665},
   doi = {10.1021/acs.chemrev.7b00424},
-  abstract = {This review focuses on structural engineering of lasers from the macroscale to the nanoscale, with an emphasis on plasmon nanolasers. Conventional lasers based on Fabry\textendash{}P\'erot cavities are limited in device size. In contrast, plasmon nanolasers can overcome the diffraction limit of light and incorporate unique structural designs to engineer cavity geometries and optical band structure. Since the spaser concept was introduced in 2003, tremendous progress in nanolasing has been made on architectures that exploit metal films and nanoparticles. Theoretical approaches in both frequency and time domains have inspired the development of plasmon nanolasers based on mode analysis and time-dependent lasing buildup. Plasmon nanolasers designed by band-structure engineering open prospects for manipulation of lasing characteristics such as directional emission, real-time tunable wavelengths, and controlled multimode lasing.},
+  abstract = {This review focuses on structural engineering of lasers from the macroscale to the nanoscale, with an emphasis on plasmon nanolasers. Conventional lasers based on Fabry\textendash P\'erot cavities are limited in device size. In contrast, plasmon nanolasers can overcome the diffraction limit of light and incorporate unique structural designs to engineer cavity geometries and optical band structure. Since the spaser concept was introduced in 2003, tremendous progress in nanolasing has been made on architectures that exploit metal films and nanoparticles. Theoretical approaches in both frequency and time domains have inspired the development of plasmon nanolasers based on mode analysis and time-dependent lasing buildup. Plasmon nanolasers designed by band-structure engineering open prospects for manipulation of lasing characteristics such as directional emission, real-time tunable wavelengths, and controlled multimode lasing.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ABQRWI2D/Wang ym. - 2018 - Structural Engineering in Plasmon Nanolasers.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/HUKPC8V7/acs.chemrev.html},
   journal = {Chem. Rev.},
   number = {6}
@@ -1228,7 +1277,7 @@ matrix method for multilayer calculations.},
   pages = {285--298},
   issn = {0021-9991},
   doi = {10.1006/jcph.1996.0175},
-  abstract = {One of the most intractable problems in electromagnetic multisphere-scattering theory is the formulation and evaluation of vector addition coefficients introduced by the addition theorems for vector spherical harmonics. This paper presents an efficient approach for the calculation of both scalar and vector translational addition coefficients, which is based on fast evaluation of the Gaunt coefficients. The paper also rederives the analytical expressions for the vector translational addition coefficients and discusses the strengths and limitations of other formulations and numerical techniques found in the literature. Numerical results from the formulation derived in this paper agree with those of a previously published recursion scheme that completely avoids the use of the Gaunt coefficients, but the method of direct calculation proposed here reduces the computing time by a factor of 4\textendash{}6.},
+  abstract = {One of the most intractable problems in electromagnetic multisphere-scattering theory is the formulation and evaluation of vector addition coefficients introduced by the addition theorems for vector spherical harmonics. This paper presents an efficient approach for the calculation of both scalar and vector translational addition coefficients, which is based on fast evaluation of the Gaunt coefficients. The paper also rederives the analytical expressions for the vector translational addition coefficients and discusses the strengths and limitations of other formulations and numerical techniques found in the literature. Numerical results from the formulation derived in this paper agree with those of a previously published recursion scheme that completely avoids the use of the Gaunt coefficients, but the method of direct calculation proposed here reduces the computing time by a factor of 4\textendash 6.},
   file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/8B2TWTJ2/1-s2.0-S0021999197956874-main (2).pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NCD6BBNZ/Xu - 1996 - Calculation of the Addition Coefficients in Electr.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NDSF7KI2/S0021999196901758.html},
   journal = {Journal of Computational Physics},
   number = {2}
@@ -1274,7 +1323,7 @@ matrix method for multilayer calculations.},
 }
 
 @article{zhao_extinction_2003,
-  title = {The {{Extinction Spectra}} of {{Silver Nanoparticle Arrays}}:\, {{Influence}} of {{Array Structure}} on {{Plasmon Resonance Wavelength}} and {{Width}}\textdagger{}},
+  title = {The {{Extinction Spectra}} of {{Silver Nanoparticle Arrays}}:\, {{Influence}} of {{Array Structure}} on {{Plasmon Resonance Wavelength}} and {{Width}}\textdagger},
   shorttitle = {The {{Extinction Spectra}} of {{Silver Nanoparticle Arrays}}},
   author = {Zhao, LinLin and Kelly, K. Lance and Schatz, George C.},
   year = {2003},

lepaper/examples.lyx

@@ -121,6 +121,50 @@ as well as benchmarks with BEM
 examples
 \family default
  directory of the QPMS source repository.
+ 
+\end_layout
+
+\begin_layout Standard
+For further results, used for explaining experiments, see Refs.
+ 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "hakala_lasing_2017"
+literal "false"
+
+\end_inset
+
+ (scattering, finite system), 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "guo_lasing_2019,pourjamal_lasing_2019"
+literal "false"
+
+\end_inset
+
+ (approximate lattice mode search using a real-frequency-only scan), and
+ 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "vakevainen_sub-picosecond_2020"
+literal "false"
+
+\end_inset
+
+ (resonances of a finite system).
+ Note that in 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "hakala_lasing_2017,guo_lasing_2019"
+literal "false"
+
+\end_inset
+
+, 
+\begin_inset Formula $T$
+\end_inset
+
+-matrices were calculated using a buggy version of SCUFF-EM.
 \end_layout
 
 \begin_layout Subsection
@@ -291,6 +335,13 @@ status open
 
 \begin_layout Plain Layout
 \align center
+\begin_inset Graphics
+	filename figs/sqlat_inf_scatter.pdf
+	width 90col%
+
+\end_inset
+
+
 \begin_inset Note Note
 status open
 
@@ -327,16 +378,15 @@ Response of an infinite square array of silver nanoparticles with periodicities
 \begin_inset Formula $xz$
 \end_inset
 
--plane.
+-plane, with 
- Left: 
 \begin_inset Formula $y$
 \end_inset
 
--polarised waves, right: 
+-polarised waves (left), and 
 \begin_inset Formula $x$
 \end_inset
 
--polarised waves.
+-polarised waves (right).
  The images show extinction, scattering and absorption cross section per
  unit cell.
  
@@ -371,11 +421,6 @@ status open
 
 \end_layout
 
-\begin_layout Plain Layout
-\align center
-\begin_inset Note Note
-status open
-
 \begin_layout Plain Layout
 \align center
 \begin_inset Graphics
@@ -385,11 +430,6 @@ status open
 \end_inset
 
 
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Plain Layout
@@ -507,11 +547,7 @@ TODO also details about the machines used.
 \end_layout
 
 \begin_layout Subsection
-Lattice mode structure
+Lattice mode structure of a square lattice
-\end_layout
-
-\begin_layout Subsection
-Square lattice
 \end_layout
 
 \begin_layout Standard
@@ -593,12 +629,12 @@ status open
 \begin_layout Plain Layout
 \align center
 \begin_inset Note Note
-status open
+status collapsed
 
 \begin_layout Plain Layout
 \align center
 \begin_inset Graphics
-	filename figs/cyl_r30nm_h30nm_p375nmx375nm_mAg_bg1.52_φ0_θ(-0.0075_0.0075)π_ψ0.5π_χ0π_f2.11–2.23eV_L3.pdf
+	filename figs/examples/rectangular/modes/cyl_r30nm_h30nm_p375nmx375nm_mAg_bg1.52_f(2.001..0.001..2.25)eV_L3_SVGamma.pdf
 	width 80col%
 
 \end_inset
@@ -609,6 +645,13 @@ status open
 \end_inset
 
 
+\begin_inset Graphics
+	filename figs/sqlat_SVGamma.pdf
+	width 80col%
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Plain Layout
@@ -678,6 +721,7 @@ noprefix "false"
  touching the empty lattice diffracted orders (from either above or below
  in the real part), and with major axis covering 1/5 of the interval between
  two diffracted orders.
+ The residual threshold was set to 0.1.
  At the 
 \begin_inset Formula $\Gamma$
 \end_inset
@@ -720,11 +764,6 @@ wide false
 sideways false
 status open
 
-\begin_layout Plain Layout
-\align center
-\begin_inset Note Note
-status open
-
 \begin_layout Plain Layout
 \align center
 \begin_inset Graphics
@@ -734,11 +773,6 @@ status open
 \end_inset
 
 
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Plain Layout
@@ -749,8 +783,8 @@ Solutions of the lattice mode problem
 \begin_inset Formula $\truncated{M\left(\omega,\vect k\right)}3$
 \end_inset
 
- found using Beyn's method nearby the first diffracted order crossing at
+ found using the Beyn's method near the first diffracted order crossing
- the 
+ at the 
 \begin_inset Formula $\Gamma$
 \end_inset
 
@@ -813,7 +847,7 @@ literal "false"
 
 \end_layout
 
-\begin_layout Subsubsection
+\begin_layout Subsection
 Effects of multipole cutoff
 \end_layout
 
@@ -987,9 +1021,9 @@ status open
 \begin_inset Caption Standard
 
 \begin_layout Plain Layout
-Consequences of multipole degree cutoff: Eigenfrequencies found with Beyn's
+Consequences of multipole degree cutoff: Eigenfrequencies found with the
- algorithm for an infinite square lattice of golden spherical nanoparticles
+ Beyn's algorithm for an infinite square lattice of golden spherical nanoparticl
- with varying particle size.
+es with varying particle size.
 \begin_inset CommandInset label
 LatexCommand label
 name "square lattice var lMax, r at gamma point Au"
@@ -1016,7 +1050,7 @@ placement document
 alignment document
 wide false
 sideways false
-status collapsed
+status open
 
 \begin_layout Plain Layout
 \begin_inset Caption Standard

lepaper/figs/beyn_lMax_cutoff_Au_sphere.pdf.REMOVED.git-id

@@ -1 +1 @@
-67694073f215e34a67372e1396a73dedb4e4410b
+4ce807be6ed417b85281dd468de86ec562292513

lepaper/figs/hex/p6m_group_actions.svg.REMOVED.git-id

@@ -1 +1 @@
-89b8943cf0f4c08a1ad487d561eebd971c2a721f
+7829f01dbc9a750991dfd178562c55949ad6748c