#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

\[ B_\lambda(\lambda,T) = \frac{2hc^2}{\lambda^5}\, \frac{1}{\exp\left(\dfrac{hc}{\lambda kT}\right)-1}. \]

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.

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

PlanckFunction.hpp

Public Member Functions