scatt/src/mesomie.hpp

#ifndef SRC_MESOMIE_HPP_
#define SRC_MESOMIE_HPP_
//******************************************************************************
//    Copyright (C) 2009-2022  Ovidio Pena <ovidio@bytesfall.com>
//    Copyright (C) 2013-2022  Konstantin Ladutenko <kostyfisik@gmail.com>
//
//    This file is part of scattnlay
//
//    This program is free software: you can redistribute it and/or modify
//    it under the terms of the GNU General Public License as published by
//    the Free Software Foundation, either version 3 of the License, or
//    (at your option) any later version.
//
//    This program is distributed in the hope that it will be useful,
//    but WITHOUT ANY WARRANTY; without even the implied warranty of
//    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
//    GNU General Public License for more details.
//
//    The only additional remark is that we expect that all publications
//    describing work using this software, or all commercial products
//    using it, cite at least one of the following references:
//    [1] O. Pena and U. Pal, "Scattering of electromagnetic radiation by
//        a multilayered sphere," Computer Physics Communications,
//        vol. 180, Nov. 2009, pp. 2348-2354.
//    [2] K. Ladutenko, U. Pal, A. Rivera, and O. Pena-Rodriguez, "Mie
//        calculation of electromagnetic near-field for a multilayered
//        sphere," Computer Physics Communications, vol. 214, May 2017,
//        pp. 225-230.
//
//    You should have received a copy of the GNU General Public License
//    along with this program.  If not, see <http://www.gnu.org/licenses/>.
//******************************************************************************

//******************************************************************************
// This class implements the algorithm for a multilayered sphere described by:
//    [1] W. Yang, "Improved recursive algorithm for light scattering by a
//        multilayered sphere,” Applied Optics, vol. 42, Mar. 2003, pp.
//        1710-1720.
//
// You can find the description of all the used equations in:
//    [2] O. Pena and U. Pal, "Scattering of electromagnetic radiation by
//        a multilayered sphere," Computer Physics Communications,
//        vol. 180, Nov. 2009, pp. 2348-2354.
//    [3] K. Ladutenko, U. Pal, A. Rivera, and O. Pena-Rodriguez, "Mie
//        calculation of electromagnetic near-field for a multilayered
//        sphere," Computer Physics Communications, vol. 214, May 2017,
//        pp. 225-230.
//
// Hereinafter all equations numbers refer to [2]
//******************************************************************************
#include <iomanip>
#include <iostream>
#include <stdexcept>
#include <vector>

#include "nmie.hpp"
#include "special-functions-impl.hpp"

namespace nmie {
//******************************************************************************
template <typename FloatType>
void MesoMie<FloatType>::calc_Q() {
  auto nmax = an_.size();
  Qext_ = 0.0;
  Qsca_ = 0.0;

  for (int n = nmax - 2; n >= 1; n--) {
    //      for (int n = 0; n < nmax_; n++) {
    const int n1 = n;
    // Equation (27)
    Qext_ += (n1 + n1 + 1.0) * (an_[n].real() + bn_[n].real());
    // std::cout << n1 << ": " << Qext_ << "  ";
    // Equation (28)
    Qsca_ += (n1 + n1 + 1.0) *
             (an_[n].real() * an_[n].real() + an_[n].imag() * an_[n].imag() +
              bn_[n].real() * bn_[n].real() + bn_[n].imag() * bn_[n].imag());
  }
  Qext_ *= 2 / pow2(x_);
  Qsca_ *= 2 / pow2(x_);
}

//******************************************************************************
template <typename FloatType>
void MesoMie<FloatType>::calc_ab(FloatType R,
                                 FloatType xd,
                                 std::complex<FloatType> xm,
                                 std::complex<FloatType> eps_d,
                                 std::complex<FloatType> eps_m,
                                 std::complex<FloatType> d_parallel,
                                 std::complex<FloatType> d_perp) {
  x_ = xd;
  //   std::cout << "xd: " << xd << "  R: " << R << std::endl;
  double xx = static_cast<double>(x_);
  int nmax = std::round(xx + 11 * std::pow(xx, (1.0 / 3.0)) + 1);
  an_.resize(nmax + 1, static_cast<FloatType>(0.0));
  bn_.resize(nmax + 1, static_cast<FloatType>(0.0));
  std::vector<std::complex<FloatType>>      //
      D1_xd(nmax + 1), D3_xd(nmax + 1),     //
      D1_xm(nmax + 1), D3_xm(nmax + 1),     //
      Psi_xd(nmax + 1), Zeta_xd(nmax + 1),  //
      Psi_xm(nmax + 1), Zeta_xm(nmax + 1);

  evalPsiZetaD1D3(std::complex<FloatType>(xd),  //
                  Psi_xd, Zeta_xd,              //
                  D1_xd, D3_xd);                //
  evalPsiZetaD1D3(std::complex<FloatType>(xm),  //
                  Psi_xm, Zeta_xm,              //
                  D1_xm, D3_xm);

  for (int n = 0; n <= nmax; n++) {
    an_[n] = Psi_xd[n] *
             (                                                               //
                 eps_m * xd * D1_xd[n] - eps_d * xm * D1_xm[n] +             //
                 (                                                           //
                     (eps_m - eps_d) *                                       //
                     (                                                       //
                         static_cast<FloatType>(n * (n + 1)) * d_perp +      //
                         xd * D1_xd[n] * xm * D1_xm[n] * d_parallel          //
                         ) /                                                 //
                     R                                                       //
                     )                                                       //
                 ) /                                                         //
             (                                                               //
                 Zeta_xd[n] *                                                //
                 (                                                           //
                     eps_m * xd * D3_xd[n] - eps_d * xm * D1_xm[n] +         //
                     (                                                       //
                         (eps_m - eps_d) *                                   //
                         (                                                   //
                             static_cast<FloatType>(n * (n + 1)) * d_perp +  //
                             xd * D3_xd[n] * xm * D1_xm[n] * d_parallel      //
                             ) /                                             //
                         R                                                   //
                         )                                                   //
                     )                                                       //
             );
    bn_[n] = Psi_xd[n] *
             (                                                            //
                 xd * D1_xd[n] - xm * D1_xm[n] +                          //
                 ((xm * xm - xd * xd) * d_parallel / R)                   //
                 ) /                                                      //
             (                                                            //
                 Zeta_xd[n] * (                                           //
                                  xd * D3_xd[n] - xm * D1_xm[n] +         //
                                  ((xm * xm - xd * xd) * d_parallel / R)  //
                                  )                                       //
             );                                                           //
  }
}

}  // namespace nmie
#endif