PlanckFunction Class Reference

#include <PlanckFunction.hpp>

Public Member Functions
	PlanckFunction (double T)
double	cdf (Array &lambdav, Array &pv, Array &Pv, Range lambdaRange) const
double	operator() (double lambda) const
double	value (double lambda) const

Private Attributes
double	_f1
double	_f2
double	_T

Detailed Description

This class represents the Planck function

$$B_{\lambda }(\lambda ,T)=\frac{2h{c}^2}{{\lambda }^5}\frac{1}{\exp \left({\displaystyle \frac{hc}{\lambda kT}}\right)-1}.$$

The temperature $T$ is specified in the constructor.

Constructor & Destructor Documentation

PlanckFunction()

PlanckFunction::PlanckFunction ( double  T )

explicit

The constructor for the PlanckFunction class accepts the temperature $T$ and precalculates some constants for later use.

Member Function Documentation

cdf()

double PlanckFunction::cdf	(	Array &	lambdav,
		Array &	pv,
		Array &	Pv,
		Range	lambdaRange
	)		const

This function constructs a tabulated normalized probability density function (pdf) and the corresponding normalized cumulative distribution function (cdf) for the Planck function with temperature $T$ (specified in the constructor) within the given wavelength range. As the basis for the tabulation, the function constructs a logarithmic wavelength grid with approximately 1000 wavelength points for each order of magitude in the wavelength range. The integration to determine the cdf is performed using a mechanism that assumes that the pdf behaves as a power-law between any two grid points.

operator()()

double PlanckFunction::operator() ( double  lambda ) const

inline

This function call operator returns the value of the Planck function $B_{\lambda }(\lambda ,T)$ for a given wavelength $\lambda$ and for the temperature $T$ specified in the constructor. It is equivalent to the value() function.

value()

double PlanckFunction::value

(

double

lambda

)

const

This function returns the value of the Planck function $B_{\lambda }(\lambda ,T)$ for a given wavelength $\lambda$ and for the temperature $T$ specified in the constructor.

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

• PlanckFunction.hpp