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NAME

Photonic - A perl package for calculations on photonics and metamaterials.

VERSION

Version 0.013

COPYRIGHT NOTICE

Photonic - A perl package for calculations on photonics and metamaterials.

Copyright (C) 1916 by W. Luis Mochán

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 1, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston MA 02110-1301 USA

    mochan@fis.unam.mx

    Instituto de Ciencias Físicas, UNAM
    Apartado Postal 48-3
    62251 Cuernavaca, Morelos
    México

SYNOPSIS

  use Photonic::Geometry;
  use Photonic::NonRetarded::EpsTensor;

  my $g=Photonic::Geometry->new(B=>$b);
  my $eps=Photonic::Nonretarded::EpsTensor->new(geometry=>$g, nh=>$N);
  my $epsValue=$eps->evaluate($epsA, $epsB);

Calculates the dielectric tensor of a metamaterial made up of two materials with dielectric functions $epsA and $epsB with a geometry $g corresponding to a characteristic funcion $b and using $N Haydock coefficients.

DESCRIPTION

Set of packages for the calculation of optical properties of metamaterials. The included modules are:

Photonic

This file. This package.

Photonic::CharacteristicFunctions

Couple of examples of characteristic functions, helpful for fast tests.

Photonic::ExtraUtils

Call some fortran utility routines from perl.

Photonic::Geometry

Group of modules for geometrical characterization.

Photonic::Geometry::FromB

Geometrical attributes of binary metamaterials, obtained from a characteristic function.

Photonic::Geometry::FromEpsilon

Geometrical attributes, obtained from the microscopic dielectric function.

Photonic::Geometry::FromImage2D

Geometrical attributes, obtained from a 2D image.

Photonic::Iterator

Facilitate the creation of iterators. Useful to iterate over large amounts of data, such as states, without keeping them in memory.

Photonic::LE

Group of modules for non retarded calculations based on the longitudinal dielectric function.

Photonic::LE::NP

Group of modules for non retarded calculations based on the longitudinal dielectric function for metamaterials made of an arbitrary number of phases NP. Constrained to a macroscopic external field of one Fourier component.

Photonic::LE::NP::AllH

Obtain all the Haydock coefficients.

Photonic::LE::NP::EpsL

Calculate the longitudinal dielectric response.

Photonic::LE::NP::EpsTensor

Calculate the dielectric tensor.

Photonic::LE::NP::OneH

Calculator for one Haydock coefficient.

Photonic::LE::NR2

Group of modules for non retarded calculations based on the longitudinal dielectric function of binary metamaterials, based on the characteristic function.

Photonic::LE::NR2::AllH

Obtain all the Haydock coefficients.

Photonic::LE::NR2::EpsL

Calculate the longitudinal dielectric response.

Photonic::LE::NR2::EpsTensor

Calculate the dielectric tensor.

Photonic::LE::NR2::Field

Calculate the microscopic field.

Photonic::LE::NR2::OneH

Calculator for one Haydock coefficient.

Photonic::LE::NR2::SH

Calculate the SH polarization.

Photonic::LE::NR2::SHChiTensor

Calculate the second harmonic quadratic susceptibility.

Photonic::LE::NR2::SHP

Prepares data for the calculation of the nonretarded second harmonic polarization.

Photonic::LE::S

Group of modules for non retarded calculations based on the longitudinal dielectric function for metamaterials made of an arbitrary number of phases, using the spinor representation.

Photonic::LE::S::AllH

Obtain all the Haydock coefficients.

Photonic::LE::S::EpsL

Calculate the longitudinal dielectric response.

Photonic::LE::S::EpsTensor

Calculate the dielectric tensor.

Photonic::LE::S::Field

Calculate the microscopic field.

Photonic::LE::S::OneH

Calculator for one Haydock coefficient.

Photonic::Roles

Group of roles to factor out related behavior.

Photonic::Roles::AllH

Obtain all the Haydock coefficients.

Photonic::Roles::EpsL

Calculate the longitudinal dielectric response.

Photonic::Roles::EpsParams

Some fields that have been factored our from the calculations of the response.

Photonic::Roles::Geometry

Roles consumed by all Geometry objects.

Photonic::Roles::KeepStates

Flag to keepstates.

Photonic::Roles::Metric

Roles factored out of the metric calculators.

Photonic::Roles::OneH

Roles factored out of the calculatoin of one Haydock coefficient.

Photonic::Roles::ReorthogonalizeC

Roles to keep Haydock states orthogonalized. Version for non-Hermitian operators and complex Haydock coefficients.

Photonic::Roles::ReorthogonalizeR

Roles to keep Haydock states orthogonalized. Version for non-Hermitian operators and complex Haydock coefficients.

Photonic::Roles::UseMask

Roles to manage masks in reciprocal space.

Photonic::Types

Defines types that are useful in constraining values for Photonic calculations.

Photonic::Utils

Useful assortment of utility functions.

Photonic::WE

Group of modules for Photonic calculations starting from the wave equation.

Photonic::WE::R2

Group of modules for binary metamaterials characterized by a characteriztic function.

Photonic::WE::R2::AllH

Obtain all the Haydock coefficients.

Photonic::WE::R2::EpsilonP

Calculate the dielectric function projected along some direction.

Photonic::WE::R2::EpsilonTensor

Calculate the dielectric tensor.

Photonic::WE::R2::Field

Calculate the microscopic field.

Photonic::WE::R2::Green

Calculate the macroscopic Green tensor.

Photonic::WE::R2::GreenP

Calculate the macroscopic Green tensor projected onto some direction.

Photonic::WE::R2::GreenS

Calculates the macroscopic Green tensor assuming it is symmetric.

Photonic::WE::R2::Metric

Retarded metric tensor of binary metamaterial with a non-dissipative host.

Photonic::WE::R2::OneH

Calculate one Haydock coefficient.

Photonic::WE::R2::Wave

Macroscopic wave tensor.

Photonic::WE::R2::WaveP

Macroscopic wave operator projected into some direction.

Photonic::WE::S

Group of modules for calculations within metamaterials with an arbitrary number of phases characterized by a complex microscopic dielectric function, using the spinor representation.

Photonic::WE::S::AllH

Obtain all the Haydock coefficients.

Photonic::WE::S::EpsilonP

Calculate the dielectric function projected along some direction.

Photonic::WE::S::EpsilonTensor

Calculate the dielectric tensor.

Photonic::WE::S::Field

Calculate the microscopic field.

Photonic::WE::S::Green

Calculate the macroscopic Green tensor.

Photonic::WE::S::GreenP

Calculate the macroscopic Green tensor projected onto some direction.

Photonic::WE::S::Metric

Retarded metric tensor of binary metamaterial with a non-dissipative host.

Photonic::WE::S::OneH

Calculate one Haydock coefficient.

Photonic::WE::S::Wave

Macroscopic wave tensor.

Photonic::WE::S::WaveP

Macroscopic wave operator projected into some direction.

AUTHORS

  • W. Luis Mochán, Instituto de Ciencias Físicas, UNAM, México mochan@fis.unam.mx

  • Guillermo Ortiz, Departamento de Física - FCENA, Universidad Nacional del Nordeste, Argentina gortiz@exa.unne.edu.ar

  • Bernardo S. Mendoza, Department of Photonics, Centro de Investigaciones en Óptica, México bms@cio.mx

  • Lucila Juárez-Reyes, Centro de Investigaciones en Óptica , México, lucilajr@icf.unam.mx

  • José Samuel Pérez-Huerta, Unidad Académica de Física, Universidad Autónoma de Zacatecas, México jsperez@fisica.uaz.edu.mx

  • Merlyn Jaqueline Juárez-Gutiérrez, Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México and Centro de Investigación en Ciencias, Universidad Autónoma del Estado de Morelos, México merlynj@icf.unam.mx

ACKNOWLEDGMENTS

This work was partially supported by DGAPA-UNAM under grants IN108413, IN113016, and IN111119.

LICENSE

This software is copyright (c) 2016 by W. Luis Mochán.

This is free software; you can redistribute it and/or modify it under the same terms as the Perl 5 programming language system itself.

Terms of the Perl programming language system itself

a) the GNU General Public License as published by the Free Software Foundation; either version 1, or (at your option) any later version, or b) the "Artistic License"

*--- The GNU General Public License, Version 1, February 1989 ---*

This software is Copyright (c) 2016 by W. Luis Mochan.

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