Implements the spectral density of an ideal fabry-perot etalon. More...

#include <source.h>

Inheritance diagram for IdealEtalon:

Public Member Functions
	IdealEtalon (double d, double n, double theta, double R)

double	FSR ()

double	F ()

double	get_spectral_density (double wavelength)

Public Member Functions inherited from Source
	Source ()

virtual	~Source ()

virtual std::vector< double >	get_spectral_density (std::vector< double > wavelength)

virtual std::vector< double >	get_spectrum (std::vector< double > wavelength)

void	set_doppler_shift (double shift)

void	set_integration_steps (int n)

Static Public Member Functions
static double	coefficient_of_finesse (double R)

static double	T (double wl, double theta, double d, double n, double cF)

Private Attributes
double	d

double	n

double	theta

double	R

double	cF

Detailed Description

Implements the spectral density of an ideal fabry-perot etalon.

An ideal Fabry-Perot etalon has a transmission function that only depends on the distance of the mirrors, the angle of incidence, the reflectivity of the mirrors and the refractive index of the medium between the mirrors.

$s(\lambda) = \frac{1}{cF sin(\frac{\delta} {2})^2}$

(

See also: IdealEtalon::T())

It produces a comb-like spectrum that is has equidistant peaks in frequency.

Todo:: implement FSR(), F() and other static functions.

Constructor & Destructor Documentation

IdealEtalon::IdealEtalon	(	double	d,
		double	n,
		double	theta,
		double	R
	)

Constructor.

Parameters

d	mirror distance in mm
n	refractive index of the medium between mirrors
theta	angle of incidence
R	reflectivity of the mirrors

Member Function Documentation

double IdealEtalon::coefficient_of_finesse ( double R )

static

Calculates the coefficient of Finesse.

$cF = \frac{4 R}{(1-R)^2}$

Warning: This is not what is typically called the finesse of an etalon, but the coefficient of finesse.

Parameters

R	mirror reflectivity

Returns: coefficienct of finesse

double IdealEtalon::F ( )

double IdealEtalon::FSR ( )

double IdealEtalon::get_spectral_density ( double wavelength )

virtual

Spectral density at given wavelegnth.

Parameters

wavelength wavelength [micron]

Returns: Spectral density at given wavelength

Reimplemented from Source.

double IdealEtalon::T	(	double	wl,
		double	theta,
		double	d,
		double	n,
		double	cF
	)

static

Transmission function of an ideal etalon.

$T(\lambda) = \frac{1}{cF sin(\frac{\delta} {2})^2}$

, where

$\delta \left( \frac{2\pi}{\lambda} \right) 2nlcos(\Theta)$

, is the phase difference and $ F $ is the coefficient of finesse:

$cF = \frac{4R}{(1-R)^2}$

Parameters

wl	wavelength [micron]
theta	angle of incidence [rad]
d	mirror distance [mm]
n	refractive index
cF	coefficient of finesse

See also: IdealEtalon::coefficient_of_finesse

Returns: transmission at given wavelength

Member Data Documentation

double IdealEtalon::cF

private

double IdealEtalon::d

private

double IdealEtalon::n

private

double IdealEtalon::R

private

double IdealEtalon::theta

private

The documentation for this class was generated from the following files:

/home/stuermer/Repos/cpp/EchelleSimulator/include/source.h
/home/stuermer/Repos/cpp/EchelleSimulator/src/source.cpp

Public Member Functions

Static Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation