Mírný pokrok v mezích zákona.

Former-commit-id: 31dbbec66f2c67576ceace8b27991d0079fdd17f

dipdip.bib

@@ -1,4 +1,21 @@
 
+@article{huttner_quantization_1992,
+	title = {Quantization of the electromagnetic field in dielectrics},
+	volume = {46},
+	url = {http://link.aps.org/doi/10.1103/PhysRevA.46.4306},
+	doi = {10.1103/PhysRevA.46.4306},
+	abstract = {We present a fully canonical quantization scheme for the electromagnetic field in dispersive and lossy linear dielectrics. This scheme is based on a microscopic model, in which the medium is represented by a collection of interacting matter fields. We calculate the exact eigenoperators for the coupled system and express the electromagnetic field operators in terms of them. The dielectric constant of the medium is explicitly derived and is shown to satisfy the Kramers-Kronig relations. We apply these results to treat the propagation of light in dielectrics and obtain simple expressions for the electromagnetic field in the medium in terms of space-dependent creation and annihilation operators. These operators satisfy a set of equal-space commutation relations and obey spatial Langevin equations of evolution. This justifies the use of such operators in phenomenological models in quantum optics. We also obtain two interesting relationships between the group and the phase velocity in dielectrics.},
+	number = {7},
+	urldate = {2014-03-28},
+	journal = {Physical Review A},
+	author = {Huttner, Bruno and Barnett, Stephen M.},
+	month = oct,
+	year = {1992},
+	keywords = {\_tablet},
+	pages = {4306--4322},
+	file = {APS Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/VP7HX7MC/PhysRevA.46.html:text/html;Huttner_Barnett_1992_Quantization of the electromagnetic field in dielectrics.pdf:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/EQ6HCUDJ/Huttner_Barnett_1992_Quantization of the electromagnetic field in dielectrics.pdf:application/pdf}
+}
+
 @article{dukelsky_textitcolloquium_2004,
 	title = {{\textbackslash}textit\{{Colloquium}\}  : {Exactly} solvable {Richardson}-{Gaudin} models for many-body quantum systems},
 	volume = {76},
@@ -120,6 +137,69 @@ They observe exciton conductance (defined as loss of energy from the last molecu
 	file = {APS Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/FDCHEE7G/Salomon et al. - 2012 - Strong Coupling between Molecular Excited States a.html:text/html;Full Text PDF:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/NBHKBBUG/Salomon et al. - 2012 - Strong Coupling between Molecular Excited States a.pdf:application/pdf}
 }
 
+@article{gross_superradiance:_1982,
+	title = {Superradiance: {An} essay on the theory of collective spontaneous emission},
+	volume = {93},
+	issn = {0370-1573},
+	shorttitle = {Superradiance},
+	url = {http://adsabs.harvard.edu/abs/1982PhR....93..301G},
+	doi = {10.1016/0370-1573(82)90102-8},
+	abstract = {This essay presents a theoretical description of the superradiance phenomenon, in which both the quantal and the classical aspects are discussed. Starting from the simple two-level atom-small sample Dicke model, we successively introduce various complications inherent to a realistic superradiance experiment: effects of Van der Waals interaction between the atoms, propagation and diffraction of the electromagnetic field in the sample and finally the effects related to atomic level degeneracy or near degeneracy. We recall how to calculate the field radiated by a superradiant system in a single experiment and how to determine, for a series of identically prepared superradiant samples, the large shot to shot fluctuations of the emitted light properties. The presentation tries to unify various points of view and formalisms developed in previous works and to introduce simply and progressively the basic physical concepts relevant to the superradiance phenomenon.},
+	urldate = {2015-09-30},
+	journal = {Physics Reports},
+	author = {Gross, M. and Haroche, S.},
+	month = dec,
+	year = {1982},
+	pages = {301--396}
+}
+
+@article{vartia_applicability_2016,
+	title = {On the applicability of discrete dipole approximation for plasmonic particles},
+	volume = {169},
+	issn = {0022-4073},
+	url = {http://www.sciencedirect.com/science/article/pii/S0022407315003179},
+	doi = {10.1016/j.jqsrt.2015.10.003},
+	abstract = {It has been recognized that the commonly used discrete dipole approximation (DDA) for calculating the optical properties of plasmonic materials may exhibit slow convergence for a certain region of the complex refractive index. In this work we investigate the quantitative accuracy of DDA for particles of different shapes, with silver as the plasmonic material. As expected, the accuracy and convergence of the method as a function of the number of dipoles is relatively good for solid spheres and rounded cubes whose size is of the same order as the wavelength of the localized surface plasmon resonance in silver. However, we find that for solid particles much smaller than the resonance wavelength, and for silver–silica core-shell particles in particular, DDA does not converge to the correct limit even for 106 dipoles. We also find that the slow convergence tends to be accompanied by strong, discretization dependent oscillations in the particle׳s internal electric field. We demonstrate that the main factor behind the slow convergence of the DDA is due to inaccuracies in the plasmonic resonances of the dipoles at the surface of the particles.},
+	urldate = {2015-11-16},
+	journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
+	author = {Vartia, Olli S. and Ylä-Oijala, Pasi and Markkanen, Johannes and Puupponen, Salla and Seppälä, Ari and Sihvola, Ari and Ala-Nissila, Tapio},
+	month = jan,
+	year = {2016},
+	keywords = {Boundary element method, Discrete dipole approximation, Plasmonic nanoparticles},
+	pages = {23--35},
+	file = {1-s2.0-S0022407315003179-main.pdf:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/8UXMPMI3/1-s2.0-S0022407315003179-main.pdf:application/pdf;ScienceDirect Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/6J75V8MH/S0022407315003179.html:text/html}
+}
+
+@article{salomon_strong_2012-1,
+	title = {Strong {Coupling} between {Molecular} {Excited} {States} and {Surface} {Plasmon} {Modes} of a {Slit} {Array} in a {Thin} {Metal} {Film}},
+	volume = {109},
+	url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.073002},
+	doi = {10.1103/PhysRevLett.109.073002},
+	abstract = {We demonstrate strong coupling between molecular excited states and surface plasmon modes of a slit array in a thin metal film. The coupling manifests itself as an anticrossing behavior of the two newly formed polaritons. As the coupling strength grows, a new mode emerges, which is attributed to long-range molecular interactions mediated by the plasmonic field. The new, molecular-like mode repels the polariton states, and leads to an opening of energy gaps both below and above the asymptotic free molecule energy.},
+	number = {7},
+	urldate = {2014-03-11},
+	journal = {Physical Review Letters},
+	author = {Salomon, Adi and Gordon, Robert J. and Prior, Yehiam and Seideman, Tamar and Sukharev, Maxim},
+	month = aug,
+	year = {2012},
+	pages = {073002},
+	file = {APS Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/KZQVX2G4/Salomon et al. - 2012 - Strong Coupling between Molecular Excited States a.html:text/html;Full Text PDF:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/6E4RWXRW/Salomon et al. - 2012 - Strong Coupling between Molecular Excited States a.pdf:application/pdf}
+}
+
+@book{mishchenko_light_1999,
+	title = {Light {Scattering} by {Nonspherical} {Particles}: {Theory}, {Measurements}, and {Applications}},
+	isbn = {978-0-08-051020-0},
+	shorttitle = {Light {Scattering} by {Nonspherical} {Particles}},
+	abstract = {There is hardly a field of science or engineering that does not have some interest in light scattering by small particles. For example, this subject is important to climatology because the energy budget for the Earth's atmosphere is strongly affected by scattering of solar radiation by cloud and aerosol particles, and the whole discipline of remote sensing relies largely on analyzing the parameters of radiation scattered by aerosols, clouds, and precipitation. The scattering of light by spherical particles can be easily computed using the conventional Mie theory. However, most small solid particles encountered in natural and laboratory conditions have nonspherical shapes. Examples are soot and mineral aerosols, cirrus cloud particles, snow and frost crystals, ocean hydrosols, interplanetary and cometary dust grains, and microorganisms. It is now well known that scattering properties of nonspherical particles can differ dramatically from those of "equivalent" (e.g., equal-volume or equal-surface-area) spheres. Therefore, the ability to accurately compute or measure light scattering by nonspherical particles in order to clearly understand the effects of particle nonsphericity on light scattering is very important.The rapid improvement of computers and experimental techniques over the past 20 years and the development of efficient numerical approaches have resulted in major advances in this field which have not been systematically summarized. Because of the universal importance of electromagnetic scattering by nonspherical particles, papers on different aspects of this subject are scattered over dozens of diverse research and engineering journals. Often experts in one discipline (e.g., biology) are unaware of potentially useful results obtained in another discipline (e.g., antennas and propagation). This leads to an inefficient use of the accumulated knowledge and unnecessary redundancy in research activities.This book offers the first systematic and unified discussion of light scattering by nonspherical particles and its practical applications and represents the state-of-the-art of this importantresearch field. Individual chapters are written by leading experts in respective areas and cover three major disciplines: theoretical and numerical techniques, laboratory measurements, and practical applications. An overview chapter provides a concise general introduction to the subject of nonspherical scattering and should be especially useful to beginners and those interested in fast practical applications. The audience for this book will include graduate students, scientists, and engineers working on specific aspects of electromagnetic scattering by small particles and its applications in remote sensing, geophysics, astrophysics, biomedical optics, and optical engineering.* The first systematic and comprehensive treatment of electromagnetic scattering by nonspherical particles and its applications* Individual chapters are written by leading experts in respective areas* Includes a survey of all the relevant literature scattered over dozens of basic and applied research journals* Consistent use of unified definitions and notation makes the book a coherent volume* An overview chapter provides a concise general introduction to the subject of light scattering by nonspherical particles* Theoretical chapters describe specific easy-to-use computer codes publicly available on the World Wide Web* Extensively illustrated with over 200 figures, 4 in color},
+	language = {en},
+	publisher = {Academic Press},
+	author = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.},
+	month = sep,
+	year = {1999},
+	keywords = {Science / Applied Sciences, Science / Earth Sciences / General, Science / Earth Sciences / Meteorology \& Climatology, Science / Earth Sciences / Oceanography, Science / Physics / General, Science / Physics / Geophysics},
+	file = {Michael I. Mishchenko, Joachim W. Hovenier, Larry D. Travis-Light Scattering by Nonspherical Particles-Academic Press (1999).pdf:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/9HIG2UUN/Michael I. Mishchenko, Joachim W. Hovenier, Larry D. Travis-Light Scattering by Nonspherical Particles-Academic Press (1999).pdf:application/pdf}
+}
+
 @article{lehmberg_radiation_1970,
 	title = {Radiation from an \${N}\$-{Atom} {System}. {II}. {Spontaneous} {Emission} from a {Pair} of {Atoms}},
 	volume = {2},
@@ -422,7 +502,7 @@ and 3.4 (p, 389+) too.},
 	pages = {1087--1098}
 }
 
-@article{gross_superradiance:_1982,
+@article{gross_superradiance:_1982-1,
 	title = {Superradiance: {An} essay on the theory of collective spontaneous emission},
 	volume = {93},
 	doi = {10.1016/0370-1573(82)90102-8},
@@ -585,6 +665,23 @@ and 3.4 (p, 389+) too.},
 	file = {APS Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/WQJ5AIGU/PhysRevLett.111.html:text/html;PhysRevLett.111.166802.pdf:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/ZJZXN4VA/PhysRevLett.111.166802.pdf:application/pdf}
 }
 
+@article{kurizki_suppression_1988,
+	title = {Suppression of {Molecular} {Interactions} in {Periodic} {Dielectric} {Structures}},
+	volume = {61},
+	url = {http://link.aps.org/doi/10.1103/PhysRevLett.61.2269},
+	doi = {10.1103/PhysRevLett.61.2269},
+	abstract = {We show that resonant dipole-dipole interactions are suppressed at all interatomic or intermolecular separations in periodic dielectric structures in which spontaneous emission is inhibited at the resonant optical transitions. This profoundly modifies molecular properties including donor-acceptor energy transfer, collisional dynamics, molecular spectra, and dissociation energies.},
+	number = {19},
+	urldate = {2015-12-16},
+	journal = {Physical Review Letters},
+	author = {Kurizki, G. and Genack, A. Z.},
+	month = nov,
+	year = {1988},
+	pages = {2269--2271},
+	annote = {Reference from Optics of Photonic Crystals (Opt. Rev. Vol. 6, No. 5 381–392},
+	file = {APS Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/4JU8C6TC/PhysRevLett.61.html:text/html}
+}
+
 @book{landau_computational_2015,
 	title = {Computational {Physics}: {Problem} {Solving} with {Python}},
 	isbn = {978-3-527-68466-3},
@@ -955,7 +1052,40 @@ and 3.4 (p, 389+) too.},
 	year = {1996},
 	pages = {285--298},
 	annote = {N.B. Erratum  J. Comput. Phys. 134, 200 (1997). },
-	file = {ScienceDirect Full Text PDF:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/NCD6BBNZ/Xu - 1996 - Calculation of the Addition Coefficients in Electr.pdf:application/pdf;ScienceDirect Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/NDSF7KI2/S0021999196901758.html:text/html}
+	file = {1-s2.0-S0021999197956874-main (2).pdf:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/8B2TWTJ2/1-s2.0-S0021999197956874-main (2).pdf:application/pdf;ScienceDirect Full Text PDF:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/NCD6BBNZ/Xu - 1996 - Calculation of the Addition Coefficients in Electr.pdf:application/pdf;ScienceDirect Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/NDSF7KI2/S0021999196901758.html:text/html}
+}
+
+@article{xu_fast_1997,
+	title = {Fast evaluation of {Gaunt} coefficients: recursive approach},
+	volume = {85},
+	issn = {0377-0427},
+	shorttitle = {Fast evaluation of {Gaunt} coefficients},
+	url = {http://www.sciencedirect.com/science/article/pii/S0377042797001283},
+	doi = {10.1016/S0377-0427(97)00128-3},
+	abstract = {Solution of electromagnetic multisphere-scattering problems involves the determination of a large number of Gaunt coefficients that are connected with definite integrals of products of three associated Legendre functions. This paper presents general recursion formulae cycling a single index for the Gaunt coefficient. With the use of the recursive scheme, Gaunt coefficients of either low or high degree and order can be evaluated accurately and expeditiously.},
+	number = {1},
+	urldate = {2015-12-03},
+	journal = {Journal of Computational and Applied Mathematics},
+	author = {Xu, Yu-lin},
+	month = nov,
+	year = {1997},
+	keywords = {Clebsch-Gordan coefficients, Computational method, Electromagnetic multisphere-scattering, Gaunt coefficients, Wigner 3jm symbols},
+	pages = {53--65},
+	file = {ScienceDirect Full Text PDF:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/EESZRX7P/Xu - 1997 - Fast evaluation of Gaunt coefficients recursive a.pdf:application/pdf;ScienceDirect Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/RK5PE89D/S0377042797001283.html:text/html}
+}
+
+@book{taylor_optical_2011,
+	title = {Optical {Binding} {Phenomena}: {Observations} and {Mechanisms}},
+	isbn = {978-3-642-21195-9},
+	shorttitle = {Optical {Binding} {Phenomena}},
+	abstract = {This thesis addresses optical binding - a new area of interest within the field of optical micromanipulation. It presents, for the first time, a rigorous numerical simulation of some of the key results, along with new experimental findings and also physical interpretations of the results. In an optical trap particles are attracted close to areas of high optical intensities and intensity gradients. So, for example, if two lasers are pointed towards each other (a counter propagating trap) then a single particle is trapped in the centre of the two beams – the system is analogous to a particle being held by two springs in a potential well. If one increases the number of particles in the trap then naively one would expect all the particles to collect in the centre of the well. However, the effect of optical binding means that the presence of one particle affects the distribution of light experienced by another particle, resulting in extremely complex interactions that can lead to unusual 1D and 2D structures to form within the trap. Optical binding is not only of theoretical interest but also has applications in micromanipulation and assembly.},
+	language = {en},
+	publisher = {Springer Science \& Business Media},
+	author = {Taylor, Jonathan M.},
+	month = jul,
+	year = {2011},
+	keywords = {Science / Physics / Atomic \& Molecular, Science / Physics / Electricity, Science / Physics / General, Science / Physics / Mathematical \& Computational, Science / Physics / Optics \& Light, Technology \& Engineering / Electrical, Technology \& Engineering / Optics},
+	file = {(Springer Theses) Jonathan M. Taylor (auth.)-Optical Binding Phenomena_ Observations and Mechanisms -Springer-Verlag Berlin Heidelberg (2011).pdf:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/7XKKCD9X/(Springer Theses) Jonathan M. Taylor (auth.)-Optical Binding Phenomena_ Observations and Mechanisms -Springer-Verlag Berlin Heidelberg (2011).pdf:application/pdf}
 }
 
 @article{epton_multipole_1995,
@@ -1180,6 +1310,23 @@ http://www.sciencedirect.com/science/article/pii/S0021999197956874},
 	file = {ScienceDirect Full Text PDF:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/STV5263F/Xu - 1998 - Efficient Evaluation of Vector Translation Coeffic.pdf:application/pdf;ScienceDirect Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/VMGZRSAA/S0021999197958678.html:text/html}
 }
 
+@article{xu_calculation_1996-1,
+	title = {Calculation of the {Addition} {Coefficients} in {Electromagnetic} {Multisphere}-{Scattering} {Theory}},
+	volume = {127},
+	issn = {0021-9991},
+	url = {http://www.sciencedirect.com/science/article/pii/S0021999196901758},
+	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 4–6.},
+	number = {2},
+	urldate = {2015-11-24},
+	journal = {Journal of Computational Physics},
+	author = {Xu, Yu-lin},
+	month = sep,
+	year = {1996},
+	pages = {285--298},
+	file = {ScienceDirect Snapshot:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/H98A3TTE/S0021999196901758.html:text/html;xu1996.pdf:/home/necadam1/.zotero/zotero/9uf64zmd.default/zotero/storage/CBABI5M4/xu1996.pdf:application/pdf}
+}
+
 @article{moneda_dyadic_2007-2,
 	title = {Dyadic {Green}'s function of a cluster of spheres},
 	volume = {24},

worknotes.lyx

@@ -177,6 +177,33 @@ key "landau_computational_2015"
 Computing classical Green's functions
 \end_layout
 
+\begin_layout Standard
+The formulae below might differ depending on the conventions used by various
+ authors.
+ For instance, Taylor 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "taylor_optical_2011"
+
+\end_inset
+
+ uses normalized spherical wavefunctions 
+\begin_inset Formula $\widetilde{\vect M}_{mn}^{(j)},\widetilde{\vect N}_{mn}^{(j)}$
+\end_inset
+
+ which are designed in a way that avoids float number overflow of some of
+ the variables during the numerical calculation.
+\end_layout
+
+\begin_layout Standard
+Beware of various conventions in definitions of Legendre functions etc.
+ (the implementation in py-gmm differs, for example, by a factor of 
+\begin_inset Formula $(-1)^{m}$
+\end_inset
+
+ from scipy.special.lpmn.
+\end_layout
+
 \begin_layout Subsection
 T-Matrix method
 \end_layout
@@ -527,31 +554,59 @@ Q_{\max} & = & \min\left(n+1,\nu,\frac{n+\nu+1-\left|m-\mu\right|}{2}\right),
 
 \end_inset
 
-with the Pochhammer symbol / falling factorial (hope it is the 
+where the parentheses with lower index mean most likely the Pochhammer symbol
+ / 
 \emph on
-falling
+rising
 \emph default
- one; Xu does not explain the notation anywhere)
+ factorial 
 \begin_inset Formula 
 \[
-(x)_{n}=x\left(x-1\right)\left(x-2\right)\dots\left(x-n+1\right)=\frac{x!}{\left(x-n\right)!}
+\left(x\right)_{n}=x(x+1)(x+2)\dots(x+n-1)=\frac{(x+n-1)!}{(x-1)!}=\frac{\Gamma(x+n)}{\Gamma(x)},
 \]
 
 \end_inset
 
-(in contrast to the rising factorial 
+which is damn confusing (because this can also mean the falling factorial,
-\begin_inset Formula 
+ cf.
-\[
+ Wikipedia); and Xu does not bother explaining the notation 
-x^{(n)}=x(x+1)(x+2)\dots(x+n-1)=\frac{(x+n-1)!}{(x-1)!},
+\emph on
-\]
+anywhere
+\emph default
+.
+ The fact that it is the rising factorial has been checked by comparing
+ 
+\begin_inset Formula $a_{0}$
+\end_inset
+
+ 
+\begin_inset CommandInset citation
+LatexCommand cite
+after "(78)"
+key "xu_calculation_1996"
 
 \end_inset
 
- their mutual relation should then be 
+ to some implementation from the internets 
-\begin_inset Formula $(x)_{n}=(x-n+1)^{(n)}$
+\begin_inset Foot
+status open
+
+\begin_layout Plain Layout
+
+\family typewriter
+\begin_inset CommandInset href
+LatexCommand href
+name "https://raw.githubusercontent.com/michael-hartmann/gaunt/master/gaunt.py"
+target "https://raw.githubusercontent.com/michael-hartmann/gaunt/master/gaunt.py"
+
 \end_inset
 
-).
+
+\end_layout
+
+\end_inset
+
+.
 \end_layout
 
 \begin_layout Standard