Analysis of Adaptive Optics

Tools for analytic evaluaiton of AO systems

Classes
class	mx::AO::analysis::aoAtmosphere< _realT >
	A class to specify atmosphere parameters and perform related calculations. More...
struct	mx::AO::analysis::vonKarmanSpectrum< realT >
	Manage calculations using the von Karman spatial power spectrum. More...
class	mx::AO::analysis::aoSystem< _realT, _inputSpectT, iosT >
	Describes an analytic adaptive optics (AO) system. More...
struct	mx::AO::analysis::wfs< realT, iosT >
	The ideal wavefront sensor sensitivity function. More...
struct	mx::AO::analysis::pywfsUnmod< realT, iosT >
	The unmodulated pyramid wavefront sensor sensitivity function. More...
struct	mx::AO::analysis::pywfsModAsymptotic< realT, iosT >
	The asymptotic modulated pyramid wavefront sensor sensitivity function. More...
struct	mx::AO::analysis::shwfs< realT, iosT >
	The shack hartmann wavefront sensor sensitivity function. More...
struct	mx::AO::analysis::calculatedWFS< realT, iosT >
	The calculated WFS uses sensitivities provided by FITS files. More...
struct	mx::AO::analysis::clAOLinearPredictor< _realT >
	Class to manage the calculation of linear predictor coefficients for a closed-loop AO system. More...
struct	mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >
	Class to manage the calculation of temporal PSDs of the Fourier modes in atmospheric turbulence. More...
struct	mx::AO::analysis::zernikeTemporalPSD< _realT, aosysT >
	Class to manage the calculation of temporal PSDs of the Fourier modes in atmospheric turbulence. More...

Modules
	AO Constants

Functions
template<typename realT , typename aosysT >
realT	mx::AO::analysis::phiInt_basic (realT phi, void *params)
	Worker for the azimuthal integral (in phi) for the basic Fourier mode covariance. More...
template<typename realT , typename aosysT >
realT	mx::AO::analysis::F_basic (realT kv, void *params)
	Worker function for GSL Integration for the basic sin/cos Fourier modes. More...
template<typename realT , typename aosysT >
realT	mx::AO::analysis::F_mod (realT kv, void *params)
	Worker function for GSL Integration for the modified Fourier modes. More...
template<typename realT , typename aosysT >
realT	mx::AO::analysis::Fm_projMod (realT kv, void *params)
	Worker function for GSL Integration for a basis projected onto the modified Fourier modes. More...
template<typename imageT >
void	mx::AO::analysis::varmapToImage (imageT &im, imageT &varmap, imageT &psf)
	Convert a wavefront variance map to an intensity image by convolving with the PSF. More...
template<typename realT >
void	mx::AO::analysis::wfsNoisePSD (std::vector< realT > &PSD, realT beta_p_k, realT Fg, realT tau, realT npx, realT Fb, realT ron)
	Populate a vector with the PSD of measurement noise given WFS parameters. More...
template<typename realT , typename aosysT >
realT	mx::AO::analysis::F_zernike (realT kv, void *params)
	Worker function for GSL Integration for the basic sin/cos Fourier modes. More...

Function Documentation

F_basic()

template<typename realT , typename aosysT >

realT mx::AO::analysis::F_basic	(	realT	kv,
		void *	params
	)

Worker function for GSL Integration for the basic sin/cos Fourier modes.

Definition at line 2169 of file fourierTemporalPSD.hpp.

References mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::_layer_i, mx::math::func::jinc(), mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_aosys, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_f, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_m, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_n, and mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_p.

F_mod()

template<typename realT , typename aosysT >

realT mx::AO::analysis::F_mod	(	realT	kv,
		void *	params
	)

Worker function for GSL Integration for the modified Fourier modes.

Definition at line 2219 of file fourierTemporalPSD.hpp.

References mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::_layer_i, mx::astro::constants::c(), mx::math::func::jinc(), mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_aosys, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_cq, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_f, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_f0, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_m, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_n, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_spatialFilter, and mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_sq.

F_zernike()

template<typename realT , typename aosysT >

realT mx::AO::analysis::F_zernike	(	realT	kv,
		void *	params
	)

Worker function for GSL Integration for the basic sin/cos Fourier modes.

Definition at line 490 of file zernikeTemporalPSD.hpp.

References mx::AO::analysis::zernikeTemporalPSD< _realT, aosysT >::_layer_i, mx::astro::constants::k(), mx::AO::analysis::zernikeTemporalPSD< _realT, aosysT >::m_aosys, mx::AO::analysis::zernikeTemporalPSD< _realT, aosysT >::m_f, mx::AO::analysis::zernikeTemporalPSD< _realT, aosysT >::m_zern_m, mx::AO::analysis::zernikeTemporalPSD< _realT, aosysT >::m_zern_n, and mx::sigproc::zernikeQNorm().

Fm_projMod()

template<typename realT , typename aosysT >

realT mx::AO::analysis::Fm_projMod	(	realT	kv,
		void *	params
	)

Worker function for GSL Integration for a basis projected onto the modified Fourier modes.

Definition at line 2340 of file fourierTemporalPSD.hpp.

References mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::_layer_i, mx::math::func::jinc(), mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_aosys, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_f, mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_mode_i, and mx::AO::analysis::fourierTemporalPSD< _realT, aosysT >::m_modeCoeffs.

phiInt_basic()

template<typename realT , typename aosysT >

realT mx::AO::analysis::phiInt_basic	(	realT	phi,
		void *	params
	)

Worker for the azimuthal integral (in phi) for the basic Fourier mode covariance.

Parameters

phi	the angle at which to evaluate the integrand
params	a pointer to a object of type fourierCovariance<realT, aosyT>

Template Parameters

realT	a floating point type used for all calculations
aosysT	the type of the AO system structure

Definition at line 68 of file fourierCovariance.hpp.

References mx::AO::analysis::fourierCovariance< realT, aosysT >::aosys, mx::math::func::jinc(), mx::AO::analysis::fourierCovariance< realT, aosysT >::k, mx::astro::constants::k(), mx::AO::analysis::fourierCovariance< realT, aosysT >::m, mx::AO::analysis::fourierCovariance< realT, aosysT >::mp, mx::AO::analysis::fourierCovariance< realT, aosysT >::n, mx::AO::analysis::fourierCovariance< realT, aosysT >::np, mx::AO::analysis::fourierCovariance< realT, aosysT >::p, and mx::AO::analysis::fourierCovariance< realT, aosysT >::pp.

varmapToImage()

template<typename imageT >

void mx::AO::analysis::varmapToImage	(	imageT &	im,
		imageT &	varmap,
		imageT &	psf
	)

Convert a wavefront variance map to an intensity image by convolving with the PSF.

The PSF should have odd dimensions, and the peak pixel should be in the center pixel defined by [0.5*psf.rows(), 0.5*psf.cols()]. The platescale (lambda/D per pixel) of the PSF should match that of the variance map. The PSF should be normalized such that the center/peak pixel has value 1 (not so that the sum of pixels is 1).

Template Parameters

imageT

is an Eigen-array-like type.

Parameters

[out]	im	is the intensity image, resized to match varmap
[in]	varmap	is the wavefront variance map
[in]	psf	is the point spread function

Definition at line 29 of file varmapToImage.hpp.

wfsNoisePSD()

template<typename realT >

void mx::AO::analysis::wfsNoisePSD	(	std::vector< realT > &	PSD,
		realT	beta_p_k,
		realT	Fg,
		realT	tau,
		realT	npx,
		realT	Fb,
		realT	ron
	)

Populate a vector with the PSD of measurement noise given WFS parameters.

Template Parameters

realT

is the real floating point type for calculations

Parameters

[out]	PSD	A pre-allocated vector which will be filled with the PSD value.
[in]	beta_p_k	The WFS \( \beta_p \) parameter (see Guyon, 2005

Definition at line 25 of file wfsNoisePSD.hpp.