main.py 8.1 KB

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  1. #!/usr/bin/env python
  2. # -*- coding: UTF-8 -*-
  3. #
  4. # Copyright (C) 2009-2019 Ovidio Peña Rodríguez <ovidio@bytesfall.com>
  5. # Copyright (C) 2013-2019 Konstantin Ladutenko <kostyfisik@gmail.com>
  6. #
  7. # This file is part of scattnlay
  8. #
  9. # This program is free software: you can redistribute it and/or modify
  10. # it under the terms of the GNU General Public License as published by
  11. # the Free Software Foundation, either version 3 of the License, or
  12. # (at your option) any later version.
  13. #
  14. # This program is distributed in the hope that it will be useful,
  15. # but WITHOUT ANY WARRANTY; without even the implied warranty of
  16. # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
  17. # GNU General Public License for more details.
  18. #
  19. # The only additional remark is that we expect that all publications
  20. # describing work using this software, or all commercial products
  21. # using it, cite at least one of the following references:
  22. # [1] O. Peña and U. Pal, "Scattering of electromagnetic radiation by
  23. # a multilayered sphere," Computer Physics Communications,
  24. # vol. 180, Nov. 2009, pp. 2348-2354.
  25. # [2] K. Ladutenko, U. Pal, A. Rivera, and O. Peña-Rodríguez, "Mie
  26. # calculation of electromagnetic near-field for a multilayered
  27. # sphere," Computer Physics Communications, vol. 214, May 2017,
  28. # pp. 225-230.
  29. #
  30. # You should have received a copy of the GNU General Public License
  31. # along with this program. If not, see <http://www.gnu.org/licenses/>.
  32. from scattnlay_ import scattcoeffs_, scattnlay_, fieldnlay_
  33. import numpy as np
  34. def switch_to_double_precision():
  35. global scattcoeffs_, scattnlay_, fieldnlay_
  36. from scattnlay_ import scattcoeffs_, scattnlay_, fieldnlay_
  37. def switch_to_multiple_precision():
  38. global scattcoeffs_, scattnlay_, fieldnlay_
  39. from scattnlay_mp_ import scattcoeffs_, scattnlay_, fieldnlay_
  40. def scattcoeffs(x, m, nmax=-1, pl=-1):
  41. """
  42. scattcoeffs(x, m[, nmax, pl])
  43. Calculate the scattering coefficients required to calculate both the
  44. near- and far-field parameters.
  45. x: Size parameters (1D or 2D ndarray)
  46. m: Relative refractive indices (1D or 2D ndarray)
  47. nmax: Maximum number of multipolar expansion terms to be used for the
  48. calculations. Only use it if you know what you are doing, otherwise
  49. set this parameter to -1 and the function will calculate it.
  50. pl: Index of PEC layer. If there is none just send -1
  51. Returns: (terms, an, bn)
  52. with
  53. terms: Number of multipolar expansion terms used for the calculations
  54. an, bn: Complex scattering coefficients
  55. """
  56. if len(m.shape) != 1 and len(m.shape) != 2:
  57. raise ValueError('The relative refractive index (m) should be a 1-D or 2-D NumPy array.')
  58. if len(x.shape) == 1:
  59. if len(m.shape) == 1:
  60. return scattcoeffs_(x, m, nmax=nmax, pl=pl)
  61. else:
  62. raise ValueError('The number of of dimensions for the relative refractive index (m) and for the size parameter (x) must be equal.')
  63. elif len(x.shape) != 2:
  64. raise ValueError('The size parameter (x) should be a 1-D or 2-D NumPy array.')
  65. if nmax == -1:
  66. nstore = 0
  67. else:
  68. nstore = nmax
  69. terms = np.zeros((x.shape[0]), dtype=int)
  70. an = np.zeros((0, nstore), dtype=complex)
  71. bn = np.zeros((0, nstore), dtype=complex)
  72. for i, xi in enumerate(x):
  73. if len(m.shape) == 1:
  74. mi = m
  75. else:
  76. mi = m[i]
  77. terms[i], a, b = scattcoeffs_(xi, mi, nmax=nmax, pl=pl)
  78. if terms[i] > nstore:
  79. nstore = terms[i]
  80. an.resize((an.shape[0], nstore))
  81. bn.resize((bn.shape[0], nstore))
  82. an = np.vstack((an, a))
  83. bn = np.vstack((bn, b))
  84. return terms, an, bn
  85. #scattcoeffs()
  86. def scattnlay(x, m, theta=np.zeros(0, dtype=float), nmax=-1, pl=-1):
  87. """
  88. scattnlay(x, m[, theta, nmax, pl])
  89. Calculate the actual scattering parameters and amplitudes.
  90. x: Size parameters (1D or 2D ndarray)
  91. m: Relative refractive indices (1D or 2D ndarray)
  92. theta: Scattering angles where the scattering amplitudes will be
  93. calculated (optional, 1D ndarray)
  94. nmax: Maximum number of multipolar expansion terms to be used for the
  95. calculations. Only use it if you know what you are doing.
  96. pl: Index of PEC layer.
  97. Returns: (terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2)
  98. with
  99. terms: Number of multipolar expansion terms used for the calculations
  100. Qext: Efficiency factor for extinction
  101. Qsca: Efficiency factor for scattering
  102. Qabs: Efficiency factor for absorption (Qabs = Qext - Qsca)
  103. Qbk: Efficiency factor for backscattering
  104. Qpr: Efficiency factor for the radiation pressure
  105. g: Asymmetry factor (g = (Qext-Qpr)/Qsca)
  106. Albedo: Single scattering albedo (Albedo = Qsca/Qext)
  107. S1, S2: Complex scattering amplitudes
  108. """
  109. if len(m.shape) != 1 and len(m.shape) != 2:
  110. raise ValueError('The relative refractive index (m) should be a 1-D or 2-D NumPy array.')
  111. if len(x.shape) == 1:
  112. if len(m.shape) == 1:
  113. return scattnlay_(x, m, theta, nmax=nmax, pl=pl)
  114. else:
  115. raise ValueError('The number of of dimensions for the relative refractive index (m) and for the size parameter (x) must be equal.')
  116. elif len(x.shape) != 2:
  117. raise ValueError('The size parameter (x) should be a 1-D or 2-D NumPy array.')
  118. if len(theta.shape) != 1:
  119. raise ValueError('The scattering angles (theta) should be a 1-D NumPy array.')
  120. terms = np.zeros((x.shape[0]), dtype=int)
  121. Qext = np.zeros((x.shape[0]), dtype=float)
  122. Qsca = np.zeros((x.shape[0]), dtype=float)
  123. Qabs = np.zeros((x.shape[0]), dtype=float)
  124. Qbk = np.zeros((x.shape[0]), dtype=float)
  125. Qpr = np.zeros((x.shape[0]), dtype=float)
  126. g = np.zeros((x.shape[0]), dtype=float)
  127. Albedo = np.zeros((x.shape[0]), dtype=float)
  128. S1 = np.zeros((x.shape[0], theta.shape[0]), dtype=complex)
  129. S2 = np.zeros((x.shape[0], theta.shape[0]), dtype=complex)
  130. for i, xi in enumerate(x):
  131. if len(m.shape) == 1:
  132. mi = m
  133. else:
  134. mi = m[i]
  135. terms[i], Qext[i], Qsca[i], Qabs[i], Qbk[i], Qpr[i], g[i], Albedo[i], S1[i], S2[i] = scattnlay_(xi, mi, theta, nmax=nmax, pl=pl)
  136. return terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2
  137. #scattnlay()
  138. def fieldnlay(x, m, xp, yp, zp, nmax=-1, pl=-1):
  139. """
  140. fieldnlay(x, m, xp, yp, zp[, theta, nmax, pl])
  141. Calculate the actual scattering parameters and amplitudes.
  142. x: Size parameters (1D or 2D ndarray)
  143. m: Relative refractive indices (1D or 2D ndarray)
  144. xp: Array containing all X coordinates to calculate the complex
  145. electric and magnetic fields (1D ndarray)
  146. nmax: Maximum number of multipolar expansion terms to be used for the
  147. calculations. Only use it if you know what you are doing.
  148. pl: Index of PEC layer.
  149. Returns: (terms, E, H)
  150. with
  151. terms: Number of multipolar expansion terms used for the calculations
  152. E, H: Complex electric and magnetic field at the provided coordinates
  153. """
  154. if len(m.shape) != 1 and len(m.shape) != 2:
  155. raise ValueError('The relative refractive index (m) should be a 1-D or 2-D NumPy array.')
  156. if len(x.shape) == 1:
  157. if len(m.shape) == 1:
  158. return fieldnlay_(x, m, xp, yp, zp, nmax=nmax, pl=pl)
  159. else:
  160. raise ValueError('The number of of dimensions for the relative refractive index (m) and for the size parameter (x) must be equal.')
  161. elif len(x.shape) != 2:
  162. raise ValueError('The size parameter (x) should be a 1-D or 2-D NumPy array.')
  163. terms = np.zeros((x.shape[0]), dtype=int)
  164. E = np.zeros((x.shape[0], xp.shape[0], 3), dtype=complex)
  165. H = np.zeros((x.shape[0], xp.shape[0], 3), dtype=complex)
  166. for i, xi in enumerate(x):
  167. if len(m.shape) == 1:
  168. mi = m
  169. else:
  170. mi = m[i]
  171. terms[i], E[i], H[i] = fieldnlay_(xi, mi, xp, yp, zp, nmax=nmax, pl=pl)
  172. return terms, E, H
  173. #fieldnlay()