Some little docstrings.
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@ -19,7 +19,24 @@ class EpsMuGeneratorType(enum.Enum):
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PYTHON_CALLABLE = 4
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cdef class EpsMu:
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"""Permittivity and permeability of an isotropic material.
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This wraps the C structure qpms_epsmu_t.
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See Also
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--------
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EpsMuGenerator : generates EpsMu objects as a function of frequency.
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"""
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def __init__(self, *args ,**kwargs):
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"""EpsMu object constructor
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Parameters
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----------
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eps : complex
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Relative electric permittivity.
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mu : complex
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Relative magnetic permeability.
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"""
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self.em.eps = 1
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self.em.mu = 1
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if(len(args)>=1):
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@ -36,15 +53,38 @@ cdef class EpsMu:
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return 'EpsMu(' + repr(self.em.eps) + ', ' + repr(self.em.mu) + ')'
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def k(self, omega):
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"""Wavenumber of the material at frequency omega
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Parameters
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----------
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omega : complex
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Angular frequency in 1/s.
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Returns
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-------
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out : complex
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Wavenumber of the material at omega assuming permittivity and permeability
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from self.
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"""
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return self.n * omega / c
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property n:
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"""Refractive index of a material specified by this permittivity and permeability."""
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def __get__(self):
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return (self.em.eps * self.em.mu)**.5
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property Z:
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"""Wave impedance of a material specified by this permittivity and permeability."""
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def __get__(self):
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return (self.em.mu / self.em.eps)**.5
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cdef class LorentzDrudeModel:
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"""Lorentz-Drude model of material permittivity.
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This wraps the C structure qpms_ldparams_t.
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Some materials are available in the `lorentz_drude` dictionary.
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"""
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def __cinit__(self, eps_inf, omega_p, f_arr, omega_arr, gamma_arr):
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cdef size_t n = len(omega_arr)
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if (n != len(gamma_arr) or n != len(f_arr)):
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@ -66,9 +106,26 @@ cdef class LorentzDrudeModel:
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self.params = NULL
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def __call__(self, omega):
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"""Evaluates the permittivity at a given frequency
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Parameters
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----------
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omega : complex
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Angular frequency in 1/s.
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Returns
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-------
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eps : complex
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Relative permittivity from the Lorentz-Drude model
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"""
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return qpms_lorentzdrude_eps(omega, self.params)
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cdef class _CLorentzDrudeModel:
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"""Lorentz-Drude model of material permittivity.
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This is an auxilliary class making the pre-compiled C Lorentz-Drude models accessible.
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For defining own Lorentz-Drude models from python, use LorentzDrudeModel class instead.
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"""
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def __cinit__(self):
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"Do not use directly. Do not use from Python. Use the link() method instead."
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pass
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@ -80,6 +137,18 @@ cdef class _CLorentzDrudeModel:
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return self
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def __call__(self, omega):
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"""Evaluates the permittivity at a given frequency
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Parameters
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----------
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omega : complex
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Angular frequency in 1/s.
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Returns
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-------
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eps : complex
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Relative permittivity from the Lorentz-Drude model
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"""
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return qpms_lorentzdrude_eps(omega, self.params)
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cdef double eh = eV/hbar
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@ -274,6 +274,20 @@ cdef class TMatrixGenerator:
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raise TypeError("Can't construct TMatrixGenerator from that")
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def __call__(self, arg, cdouble omega):
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"""Produces a T-matrix at a given frequency.
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Parameters
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----------
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arg : CTMatrix or BaseSpec
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If arg is a CTMatrix, its contents will be replaced.
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If arg is a BaseSpec, a new CTMatrix instance will be created.
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omega : complex
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Angular frequency at which the T-matrix shall be evaluated.
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Returns
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-------
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t : CTMatrix
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"""
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cdef CTMatrix tm
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if isinstance(arg, CTMatrix): # fill the matrix
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tm = arg
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@ -300,15 +314,70 @@ cdef class TMatrixGenerator:
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# Better "constructors":
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@staticmethod
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def sphere(outside, inside, r):
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"""Creates a T-matrix generator for a spherical scatterer.
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This method uses analytical Mie-Lorentz formulae.
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Parameters:
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-----------
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outside : EpsMuGenerator or EpsMu
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Optical properties of the surrounding medium.
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inside : EpsMuGenerator or EpsMu
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Optical properties of the material inside the sphere.
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r : double
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Sphere radius
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"""
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return TMatrixGenerator(__MieParams(EpsMuGenerator(outside),
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EpsMuGenerator(inside), r))
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@staticmethod
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def sphere_asarc(outside, inside, r, *args, **kwargs):
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"""Creates a T-matrix generator for a spherical scatterer.
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This method uses numerical evaluation for generic axially-symmetric
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scatterer, and is intended for testing and benchmarking only.
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For regular use, see TMatrigGenerator.sphere() instead.
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Parameters
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----------
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outside : EpsMuGenerator or EpsMu
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Optical properties of the surrounding medium.
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inside : EpsMuGenerator or EpsMu
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Optical properties of the material inside the sphere.
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r : double
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Sphere radius
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Returns
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-------
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tmgen : TMatrixGenerator
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See Also
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--------
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TMatrigGenerator.sphere : Faster and more precise method.
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"""
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return TMatrixGenerator(__AxialSymParams(
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EpsMuGenerator(outside), EpsMuGenerator(inside),
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ArcFunction(__ArcSphere(r)), *args, **kwargs))
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@staticmethod
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def cylinder(outside, inside, r, h, *args, **kwargs):
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"""Creates a T-matrix generator for a right circular cylinder.
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Parameters:
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-----------
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outside : EpsMuGenerator or EpsMu
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Optical properties of the surrounding medium.
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inside : EpsMuGenerator or EpsMu
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Optical properties of the material inside the cylinder.
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r : double
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Cylinder base radius.
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h : double
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Cylinder height.
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Returns
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-------
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tmgen : TMatrixGenerator
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"""
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return TMatrixGenerator(__AxialSymParams(
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EpsMuGenerator(outside), EpsMuGenerator(inside),
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ArcFunction(__ArcCylinder(r, h)), *args, **kwargs))
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145
qpms/qpms_c.pyx
145
qpms/qpms_c.pyx
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@ -271,6 +271,20 @@ cdef class Particle:
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def __cinit__(Particle self, pos, t, bspec = None):
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"""Particle object constructor.
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Parameters
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----------
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pos : (x, y, z)
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Particle position in cartesian coordinates
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t : TMatrixGenerator or CTMatrix or TMatrixInterpolator
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T-matrix specification for the particle.
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bspec : BaseSpec
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WSWF basis specification for the particle. Might be omitted if
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t is a CTMatrix.
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"""
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cdef TMatrixGenerator tgen
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cdef BaseSpec spec
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if(len(pos)>=2 and len(pos) < 4):
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@ -347,7 +361,11 @@ cpdef void scatsystem_set_nthreads(long n):
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cdef class ScatteringSystem:
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'''
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Wrapper over the C qpms_scatsys_t structure.
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Wrapper over the C qpms_scatsys_t structure, representing a collection
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of scatterers, finite or periodic.
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Currently, it does not have a standard constructor. Use the
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ScatteringSystem.create() method instead.
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'''
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cdef list tmgobjs # here we keep the references to occuring TMatrixFunctions (and hence BaseSpecs and TMatrixGenerators)
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#cdef list Tmatrices # Here we keep the references to occuring T-matrices
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@ -372,6 +390,45 @@ cdef class ScatteringSystem:
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@staticmethod # We don't have any "standard" constructor for this right now
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def create(particles, medium, cdouble omega, FinitePointGroup sym = FinitePointGroup.TRIVIAL(),
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latticebasis = None): # TODO tolerances
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"""(Non-standard) constructor of ScatteringSystem
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Parameters
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----------
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particles : list of Particles objects
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Scatterers to be included in the system. These scatterers are then
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copied around by the constructor using the point group symmetry defined in sym.
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medium : EpsMu or EpsMuGenerator
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Material properties of the background medium.
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omega : complex
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Any valid angular frequency for the initial T-matrix evaluation.
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It must be a value which all the T-matrix generators and interpolators
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referenced by particles can evaluate.
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sym : FinitePointGroup
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Symmetry group for a finite system.
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Defaults to the trivial point group FinitePointGroup.TRIVIAL().
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Currently, this must be left trivial for periodic systems.
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latticebasis : None or array_like of float type.
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Lattice base vectors of a periodic system in cartesian coordinates.
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The shape must be [d][3], where d = 1, 2 or 3 determines the lattice dimension.
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Defaults to None, i.e. a finite system.
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Returns
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-------
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ss : ScatteringSystem
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Object representing the system of compact scatterers.
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ssw : _ScatteringSystemAtOmega
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Object representing ss evaluated at omega (angular frequency used for the
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initial evaluation).
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Note
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----
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Currently, the ScatterinSystem's T-matrices need to be evaluated for at least
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one frequency in order to initialise the symmetry structure. For this reason,
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this "constructor" creates an instance of ScatteringSystem and an instance
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of _ScatteringSystemAtOmega at the same time, so that the evaluated T-matrices
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can be used right away if needed. This is why this approach is used instead
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of the usual __init__ method.
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"""
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if latticebasis is not None and sym.order != 1:
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raise NotImplementedError("Periodic systems don't currently support nontrivial point group symmetries")
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@ -477,10 +534,12 @@ cdef class ScatteringSystem:
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return r
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property fecv_size:
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"""Length of the full excitation coefficient vector"""
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def __get__(self):
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self.check_s()
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return self.s[0].fecv_size
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property saecv_sizes:
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"""Lengths of the partial symmetry-adapted excitation coefficient vectors"""
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def __get__(self):
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self.check_s()
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return [self.s[0].saecv_sizes[i]
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@ -492,6 +551,7 @@ cdef class ScatteringSystem:
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if (self.s[0].sym[0].irreps[iri].name) else None
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for iri in range(self.s[0].sym[0].nirreps)]
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property nirreps:
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"""Number of irreducible representations of the scattering system point symmetry group"""
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def __get__(self):
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self.check_s()
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return self.s[0].sym[0].nirreps
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@ -508,6 +568,26 @@ cdef class ScatteringSystem:
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return None
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def pack_vector(self, vect, iri):
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"""Converts (projects) a full excitation coefficient vector into an irrep subspace.
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Parameters
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----------
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vect : array_like of shape (self.fecv_size,)
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The full excitation coefficient vector to be converted.
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iri : int
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Index of the irreducible representation.
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Returns
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-------
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packed : ndarray of shape (self.saecv_sizes[iri],)
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"irrep-packed" excitation vector: the part of vect belonging to the
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irrep indexed by iri, in terms of given irrep's internal coordinates.
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See Also
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--------
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unpack_vector : The beckward (not exactly inverse) operation.
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pack_matrix : Corresponding conversion for matrices.
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"""
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self.check_s()
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if len(vect) != self.fecv_size:
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raise ValueError("Length of a full vector has to be %d, not %d"
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@ -519,7 +599,28 @@ cdef class ScatteringSystem:
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cdef cdouble[::1] target_view = target_np
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qpms_scatsys_irrep_pack_vector(&target_view[0], &vect_view[0], self.s, iri)
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return target_np
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def unpack_vector(self, packed, iri):
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"""Unpacks an "irrep-packed" excitation coefficient vector to full coordinates.
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Parameters
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----------
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packed : array_like of shape (self.saecv_sizes[iri],)
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Excitation coefficient vector part belonging to the irreducible representation
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indexed by iri, in terms of given irrep's internal coordinates.
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iri : int
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Index of the irreducible representation.
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Returns
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-------
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vect : ndarray of shape (self.fecv_size,)
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The contribution to a full excitation coefficient vector from iri'th irrep.
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See Also
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--------
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pack_vector : The inverse operation.
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unpack_matrix : Corresponding conversion for matrices.
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"""
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self.check_s()
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if len(packed) != self.saecv_sizes[iri]:
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raise ValueError("Length of %d. irrep-packed vector has to be %d, not %d"
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@ -532,7 +633,28 @@ cdef class ScatteringSystem:
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qpms_scatsys_irrep_unpack_vector(&target_view[0], &packed_view[0],
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self.s, iri, 0)
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return target_np
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def pack_matrix(self, fullmatrix, iri):
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"""Converts (projects) a matrix into an irrep subspace.
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Parameters
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----------
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fullmatrix : array_like of shape (self.fecv_size, self.fecv_size)
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The full matrix (operating on the exctitation coefficient vectors) to be converted.
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iri : int
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Index of the irreducible representation.
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Returns
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-------
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packedmatrix : ndarray of shape (self.saecv_sizes[iri], self.saecv_sizes[iri])
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"irrep-packed" matrix: the part of fullmatrix belonging to the
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irrep indexed by iri, in terms of given irrep's internal coordinates.
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See Also
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--------
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unpack_matrix : The beckward (not exactly inverse) operation.
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pack_vector : Corresponding conversion for excitation coefficient vectors.
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"""
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self.check_s()
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cdef size_t flen = self.s[0].fecv_size
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cdef size_t rlen = self.saecv_sizes[iri]
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self.s, iri)
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return target_np
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def unpack_matrix(self, packedmatrix, iri):
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"""Unpacks an "irrep-packed" excitation coefficient vector to full coordinates.
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Parameters
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----------
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packedmatrix : array_like of shape (self.saecv_sizes[iri], self.saecv_sizes[iri])
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A matrix (operating on the excitation coefficient vectors) part belonging to the
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irreducible representation indexed by iri, in terms of given irrep's internal
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coordinates.
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iri : int
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Index of the irreducible representation.
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Returns
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-------
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fullmatrix : ndarray of shape (self.fecv_size, self.fecv_size)
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The iri'th irrep contribution to a full matrix.
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See Also
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--------
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pack_matrix : The inverse operation.
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unpack_vector : Corresponding conversion for excitation coefficient vectors.
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"""
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self.check_s()
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cdef size_t flen = self.s[0].fecv_size
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cdef size_t rlen = self.saecv_sizes[iri]
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