Comparison of the physical optics code with the GOIE method and the direct solution of Maxwell equations obtained by FDTD

A comparison of the physical optics code and GOIE method to solve the problem of light scattering by hexagonal ice crystals has been presented. It was found that in the case of diffraction on a hole in the perpendicular screen, both methods give the same diffraction scattering cross section for the diffraction angles up to 60 degrees. The polarization elements of the Mueller matrix in this case differ significantly even for the angles of 15-30 degrees. It is also shown that in the case of diffraction on the tilted screen, the difference between these methods may be significant. The comparison of the results with the exact solution obtained by FDTD has confirmed that the difference between these methods is not significant for the case of diffraction on the perpendicular screen, but it is slightly preferable to use the GOIE for the calculations. The good agreement with the exact solution confirms the possibility of using the method of physical optics to solve the problem of light scattering by particles with characteristic size greater than 10 microns.

[1]  M. Mishchenko,et al.  Peter Waterman and his scientific legacy , 2013 .

[2]  Andrew A. Lacis,et al.  Scattering, Absorption, and Emission of Light by Small Particles , 2002 .

[3]  K. Liou.  Influence of Cirrus Clouds on Weather and Climate Processes: A Global Perspective , 1986 .

[4]  Anatoli Borovoi,et al.  Backscattering reciprocity for large particles. , 2013, Optics letters.

[5]  P. Yang,et al.  Physical-geometric optics hybrid methods for computing the scattering and absorption properties of ice crystals and dust aerosols , 2013 .

[6]  Erich Novak,et al.  Special issue , 2006, J. Complex..

[7]  K. Liou,et al.  Geometric-optics-integral-equation method for light scattering by nonspherical ice crystals. , 1996, Applied optics.

[8]  Anatoli G. Borovoi,et al.  Beam splitting algorithm for the problem of light scattering by atmospheric ice crystals. Part 2. comparison with the ray tracing algorithm , 2015 .

[9]  B. Kaul,et al.  Angular structure of the light intensity near the angles of mirror reflection from the faces of ice crystalline particles , 2009 .

[10]  A. Borovoi,et al.  Glints from particulate media and wavy surfaces , 2012 .

[11]  Kazuhiko Masuda,et al.  Efficient method of computing a geometric optics integral for light scattering by nonspherical particles , 2012 .

[12]  Grigorii Kokhanenko,et al.  Layers of quasi-horizontally oriented ice crystals in cirrus clouds observed by a two-wavelength polarization lidar. , 2014, Optics express.

[13]  Anatoli Borovoi,et al.  Backscatter ratios for arbitrary oriented hexagonal ice crystals of cirrus clouds. , 2014, Optics letters.

[14]  Emil Wolf,et al.  Comparison of Three Theories of Electromagnetic Diffraction at an Aperture.* Part II: The Far Field , 1966 .

[15]  A. G. Borovoi,et al.  Specular scattering of light on cloud ice crystals and wavy water surface , 2013 .

[16]  Manuel Nieto Vesperinas,et al.  Scattering And Diffraction In Physical Optics , 2006 .

[17]  A. Borovoi,et al.  Scattering matrices for large ice crystal particles. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[18]  Grigorii P Kokhanenko,et al.  Observations of specular reflective particles and layers in crystal clouds. , 2011, Optics express.

[19]  Bryan A. Baum,et al.  Scattering and absorption of light by ice particles: Solution by a new physical-geometric optics hybrid method , 2011 .

[20]  A. V. Burnashov,et al.  Matrix of light scattering on a truncated plate-like droxtal preferably oriented in a horizontal plane , 2013 .

[21]  A. Borovoi,et al.  The physical-optics approximation and its application to light backscattering by hexagonal ice crystals , 2014 .

[22]  Anatoli G. Borovoi,et al.  Beam splitting algorithm for the problem of light scattering by atmospheric ice crystals. part 1. theoretical foundations of the algorithm , 2015 .

[23]  R. Fox,et al.  Classical Electrodynamics, 3rd ed. , 1999 .

[24]  Hajime Okamoto,et al.  Backscattering Mueller matrix for quasi-horizontally oriented ice plates of cirrus clouds: application to CALIPSO signals. , 2012, Optics express.

[25]  A. Borovoi.  Light scattering by large particles: physical optics and the shadow-forming field , 2013 .

[26]  Anatoli Borovoi,et al.  Backscattering by hexagonal ice crystals of cirrus clouds. , 2013, Optics letters.