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/*
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* Copyright (C) 2021 Christopher J. Howard
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*
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* This file is part of Antkeeper source code.
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*
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* Antkeeper source code is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* Antkeeper source code is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef ANTKEEPER_PHYSICS_PLANCK_HPP
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#define ANTKEEPER_PHYSICS_PLANCK_HPP
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#include "physics/constants.hpp"
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#include <cmath>
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namespace physics {
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/// Various forms of Planck's law.
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namespace planck {
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/**
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* Wavelength variant of Planck's law.
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*
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* @param t Temperature of the blackbody, in kelvin.
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* @param lambda Wavelength of light, in meters.
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* @param c Speed of light in medium.
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* @return Spectral radiance, in watt per steradian per square meter per meter.
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*/
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template <class T>
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T wavelength(T t, T lambda, T c = constants::speed_of_light<T>);
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template <class T>
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T wavelength(T t, T lambda, T c)
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{
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const T hc = constants::planck<T> * c;
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const T lambda2 = lambda * lambda;
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// First radiation constant (c1L)
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const T c1 = T(2) * hc * c;
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// Second radiation constant (c2)
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const T c2 = hc / constants::boltzmann<T>;
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return (c1 / (lambda2 * lambda2 * lambda)) / std::expm1(c2 / (lambda * t));
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}
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} // namespace planck
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} // namespace physics
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#endif // ANTKEEPER_PHYSICS_PLANCK_HPP
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