Optical properties of materials. More...

#include "qpms_types.h"
#include <gsl/gsl_spline.h>

Include dependency graph for materials.h:

This graph shows which files directly or indirectly include this file:

Data Structures
struct	qpms_epsmu_generator_t
	Prototype for general optical property generator for isotropic materials. More...

struct	qpms_ldparams_triple_t
	A \( (f_j, \omega_j, \gamma_j) \) triple for qpms_ldparams_t. More...

struct	qpms_ldparams_t
	Structure holding Lorentz-Drude model parameters of a material. More...

struct	qpms_permittivity_interpolator_t
	Interpolator of tabulated optical properties. More...

Macros
#define	SPEED_OF_LIGHT (2.99792458e8)
	Speed of light in m/s.

Typedefs
typedef struct qpms_epsmu_generator_t	qpms_epsmu_generator_t
	Prototype for general optical property generator for isotropic materials.

typedef struct qpms_ldparams_triple_t	qpms_ldparams_triple_t
	A \( (f_j, \omega_j, \gamma_j) \) triple for qpms_ldparams_t.

typedef struct qpms_ldparams_t	qpms_ldparams_t
	Structure holding Lorentz-Drude model parameters of a material. More...

typedef struct qpms_permittivity_interpolator_t	qpms_permittivity_interpolator_t
	Interpolator of tabulated optical properties.

Functions
static qpms_epsmu_t	qpms_epsmu_generator_eval (qpms_epsmu_generator_t gen, complex double omega)
	Convenience function for generating material properties at given frequency.

qpms_epsmu_t	qpms_epsmu_const_g (complex double omega, const void *epsmu)
	Constant optical property "generator" for qpms_epsmu_generator_t. More...

static complex double	qpms_refindex (qpms_epsmu_t em)
	Gets refractive index of a material from its permeability and permittivity. More...

static complex double	qpms_wavenumber (complex double omega, qpms_epsmu_t em)
	Gets wave number k from angular frequency and material permeability and permittivity. More...

static complex double	qpms_waveimpedance (qpms_epsmu_t em)
	Gets (relative) wave impedance \( \eta_r \) from material permeability and permittivity. More...

complex double	qpms_lorentzdrude_eps (complex double omega, const qpms_ldparams_t *)
	Lorentz-Drude permittivity.

qpms_epsmu_t	qpms_lorentzdrude_epsmu (complex double omega, const qpms_ldparams_t *)
	Lorentz-Drude optical properties, with relative permeability set always to one.

qpms_epsmu_t	qpms_lorentzdrude_epsmu_g (complex double omega, const void *ldparams)
	Lorentz-Drude optical properties, with relative permeability set always to one, compatible with qpms_epsmu_generator_t. More...

qpms_permittivity_interpolator_t *	qpms_permittivity_interpolator_create (const size_t incount, const double wavelength_m, const double n, const double k, const gsl_interp_type iptype)
	Creates a permittivity interpolator from tabulated wavelengths, refraction indices and extinction coeffs. More...

qpms_permittivity_interpolator_t *	qpms_permittivity_interpolator_from_yml (const char path, const gsl_interp_type iptype)
	Creates a permittivity interpolator from an yml file downloaded from refractiveindex.info website. More...

complex double	qpms_permittivity_interpolator_eps_at_omega (const qpms_permittivity_interpolator_t *interp, double omega_SI)
	Evaluates interpolated material permittivity at a given angular frequency.

qpms_epsmu_t	qpms_permittivity_interpolator_epsmu_g (complex double omega, const void *interpolator)
	Evaluates interpolated material permittivity at a given angular frequency, qpms_epsmu_generator_t compatible version. More...

double	qpms_permittivity_interpolator_omega_min (const qpms_permittivity_interpolator_t *ip)
	Returns the minimum angular frequency supported by the interpolator.

double	qpms_permittivity_interpolator_omega_max (const qpms_permittivity_interpolator_t *ip)
	Returns the minimum angular frequency supported by the interpolator.

void	qpms_permittivity_interpolator_free (qpms_permittivity_interpolator_t *interp)
	Destroy a permittivity interpolator.

static complex double	qpms_drude_epsilon (complex double eps_inf, complex double omega_p, complex double gamma_p, complex double omega)
	Relative permittivity from the Drude model. More...

Variables
const qpms_ldparams_t *const	QPMS_LDPARAMS_AG
	Lorentz-Drude parameters from [rakic_optical_1998] for silver.

const qpms_ldparams_t *const	QPMS_LDPARAMS_AU
	Lorentz-Drude parameters from [rakic_optical_1998] for gold.

const qpms_ldparams_t *const	QPMS_LDPARAMS_CU
	Lorentz-Drude parameters from [rakic_optical_1998] for copper.

const qpms_ldparams_t *const	QPMS_LDPARAMS_AL
	Lorentz-Drude parameters from [rakic_optical_1998] for aluminium.

const qpms_ldparams_t *const	QPMS_LDPARAMS_CR
	Lorentz-Drude parameters from [rakic_optical_1998] for chromium.

const qpms_ldparams_t *const	QPMS_LDPARAMS_TI
	Lorentz-Drude parameters from [rakic_optical_1998] for titanium.

const qpms_ldparams_t *const	QPMS_LDPARAMS_BE
	Lorentz-Drude parameters from [rakic_optical_1998] for beryllium.

const qpms_ldparams_t *const	QPMS_LDPARAMS_NI
	Lorentz-Drude parameters from [rakic_optical_1998] for nickel.

const qpms_ldparams_t *const	QPMS_LDPARAMS_PD
	Lorentz-Drude parameters from [rakic_optical_1998] for polonium.

const qpms_ldparams_t *const	QPMS_LDPARAMS_PT
	Lorentz-Drude parameters from [rakic_optical_1998] for platinum.

const qpms_ldparams_t *const	QPMS_LDPARAMS_W
	Lorentz-Drude parameters from [rakic_optical_1998] for tungsten.

Detailed Description

Optical properties of materials.

Typedef Documentation

◆ qpms_ldparams_t

typedef struct qpms_ldparams_t qpms_ldparams_t

Structure holding Lorentz-Drude model parameters of a material.

\[ \varepsilon = \varepsilon_\infty + \sum_j=0^{n-1} \frac{f_j \omega_p^2}{\omega_j^2-\omega^2+i\omega\gamma_j} \]

Function Documentation

◆ qpms_drude_epsilon()

static complex double qpms_drude_epsilon	(	complex double	eps_inf,
		complex double	omega_p,
		complex double	gamma_p,
		complex double	omega
	)

inlinestatic

Relative permittivity from the Drude model.

Parameters

eps_inf	Relative permittivity "at infinity".
omega_p	Plasma frequency \( \omega_p \) of the material.
gamma_p	Decay constant \( \gamma_p \) of the material.
omega	Frequency \( \omega \) at which the permittivity is evaluated.

◆ qpms_epsmu_const_g()

qpms_epsmu_t qpms_epsmu_const_g	(	complex double	omega,
		const void *	epsmu
	)

Constant optical property "generator" for qpms_epsmu_generator_t.

Parameters

omega	Frequency ignored.
epsmu	Points to the qpms_epsmu_t to be returned.

◆ qpms_lorentzdrude_epsmu_g()

qpms_epsmu_t qpms_lorentzdrude_epsmu_g	(	complex double	omega,
		const void *	ldparams
	)

Lorentz-Drude optical properties, with relative permeability set always to one, compatible with qpms_epsmu_generator_t.

Parameters

ldparams Lorentz-Drude parameters, in reality const qpms_ldparams_t *.

◆ qpms_permittivity_interpolator_create()

qpms_permittivity_interpolator_t* qpms_permittivity_interpolator_create	(	const size_t	incount,
		const double *	wavelength_m,
		const double *	n,
		const double *	k,
		const gsl_interp_type *	iptype
	)

Creates a permittivity interpolator from tabulated wavelengths, refraction indices and extinction coeffs.

Parameters

wavelength_m	Tabulated vacuum wavelength in metres, in strictly increasing order.
n	Tabulated refraction indices at omega.
k	Tabulated extinction coefficients.
iptype	GSL interpolator type

◆ qpms_permittivity_interpolator_epsmu_g()

qpms_epsmu_t qpms_permittivity_interpolator_epsmu_g	(	complex double	omega,
		const void *	interpolator
	)

Evaluates interpolated material permittivity at a given angular frequency, qpms_epsmu_generator_t compatible version.

Permeability is always set to one. Imaginary part of omega is discarded.

Parameters

omega	Angular frequency. The imaginary part is ignored!
interpolator	Interpolator of type qpms_permittivity_interpolator_t

◆ qpms_permittivity_interpolator_from_yml()

qpms_permittivity_interpolator_t* qpms_permittivity_interpolator_from_yml	(	const char *	path,
		const gsl_interp_type *	iptype
	)

Creates a permittivity interpolator from an yml file downloaded from refractiveindex.info website.

Parameters

path	Path to the yml file.
iptype	GSL interpolator type

◆ qpms_refindex()

static complex double qpms_refindex ( qpms_epsmu_t em )

inlinestatic

Gets refractive index of a material from its permeability and permittivity.

\[ n = \sqrt{\mu_r \varepsilon_r} \]

◆ qpms_waveimpedance()

static complex double qpms_waveimpedance ( qpms_epsmu_t em )

inlinestatic

Gets (relative) wave impedance \( \eta_r \) from material permeability and permittivity.

\eta_r = \sqrt{\mu_r / \varepsilon_r} \f]

◆ qpms_wavenumber()

static complex double qpms_wavenumber	(	complex double	omega,
		qpms_epsmu_t	em
	)

inlinestatic

Gets wave number k from angular frequency and material permeability and permittivity.

\[ k = \frac{n\omega}{c_0} = \frac{\omega\sqrt{\mu_r \varepsilon_r}}{c_0} \]

Data Structures

Macros

Typedefs

Functions

Variables

Detailed Description

Typedef Documentation

◆ qpms_ldparams_t

Function Documentation

◆ qpms_drude_epsilon()

◆ qpms_epsmu_const_g()

◆ qpms_lorentzdrude_epsmu_g()

◆ qpms_permittivity_interpolator_create()

◆ qpms_permittivity_interpolator_epsmu_g()

◆ qpms_permittivity_interpolator_from_yml()

◆ qpms_refindex()

◆ qpms_waveimpedance()

◆ qpms_wavenumber()