COPYRIGHT NOTICE

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

Copyright (C) 2016 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

NAME

Photonic::Roles::Geometry

VERSION

version 0.023

SYNOPSIS

use Photonic::Geometry::FromB;
$g=Photonic::Geometry->new(B=>$pdl);
$B=$g->B;
$G=$g->G;

(for developers)

    package Photonic::Geometry::FromB;
    $Photonic::Geometry::Geometry::VERSION = '0.023';
    use namespace::autoclean;
    use Moo;
    has 'B' =>(is=>'ro', isa=>PDLObj, required=>1,
	       documentation=>'characteristic function');
    with 'Photonic::Roles::Geometry';

DESCRIPTION

Roles consumed by geometry objects to be used in a Photonic calculation. See also the specific implementations under Photonic::Geometry.

ACCESSORS (defined by the implementation)

• B

  The characteristic function as PDL

ACCESSORS (read write)

• Direction0

  Direction of the zero length wavevector

ACCESSORS (read only)

• L

  Unit cell sizes as a ndims pdl.

• units

  Basis e_i of basis vectors for the lattice

• dims

  The dimensions [$X, $Y...] of the PDL B

• ndims

  The number of dimensions of the PDL B, i.e., the dimensionality of space.

• npoints

  Number of points within unit cell.

• scale

  The distance between neighbor pixels along the axes.

• r

  The position coordinates. In 2D, a 2,$X,$Y pdl. In 3D, a 3,$X,$Y,$Z pdl.

• G

  The reciprocal lattice. In 2D, a 2, $X, $Y pdl. G.R=multiple of 2\pi.

• GNorm

  The reciprocal lattice, normalized to 1. In 2D, a 2, $X, $Y pdl.

• f

  Filling fraction of B region

• unitPairs

  Normalized sum of pairs of unit vectors u_{(ij)}=normalized e_ i+e_j.

• unitDyads

  Matrix of dyads of unit vector pairs d^{ij}_{kl}=u^{i}_{kl}u^{j}_{kl} as 2d matrix, adjusted for symmetry

• unitDyadsLU

  LU decomposition of unitDyads. Used to obtain cartesian components of dielectric tensor from longitudinal dielectric functions along the directions given by unitPairs

METHODS

• Vec2LC_G($v_G)

  Returns the longitudinal component of a 'complex' vector field $v_G in reciprocal space.

• LC2Vec_G($s_G)

  Longitudinal vector field from its longitudinal components in reciprocal space. Scalar field to vector field.

PREDICATES

has_Direction0

Test if Direction0 has been set.