1999
DOI: 10.1364/ao.38.003141
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Finite-difference time-domain solution of light scattering by dielectric particles with a perfectly matched layer absorbing boundary condition

Abstract: A three-dimensional finite-difference time-domain (FDTD) program has been developed to provide a numerical solution for light scattering by nonspherical dielectric particles. The perfectly matched layer (PML) absorbing boundary condition (ABC) is used to truncate the computational domain. As a result of using the PML ABC, the present FDTD program requires much less computer memory and CPU time than those that use traditional truncation techniques. For spheres with particle-size parameters as large as 40, the e… Show more

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Cited by 158 publications
(85 citation statements)
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References 51 publications
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“…Macke et al, 1996a, b;McFarquhar and Heymsfield, 1996;Yang et al, 2000Yang et al, , 2005Yang et al, , 2013Um and McFarquhar, 2007Nousiainen et al, 2011;Baum et al, 2005Baum et al, , 2011Baran and C.-Labonnote, 2007;Ishimoto et al, 2012b;Liu et al, 2014a). Numerous light-scattering computation methods have been employed to calculate the single-scattering properties of the various ice particles, including the finitedifference time-domain (FDTD) method (Yee, 1966;Yang and Liou, 1998a;Sun et al, 1999, Ishimoto et al, 2012a, the T-matrix (Baran et al, 2001;Bi and Yang, 2014a, b), the discrete dipole approximation method (Purcell and Pennypacker, 1973;Draine and Flatau, 1994;Yurkin et al, 2007), the boundary element method (Mano, 2000;Groth et al, 2015), the pseudo-spectral time-domain method (Liu, 1997(Liu, , 1998Chen et al, 2008;Liu et al, 2012), the surface-integral equation method (Nakajima et al, 2009), the improved geometric optics method (IGOM) (Yang and Liou, 1996), geometric optics integral equation (GOIE) (Yang and Liou, 1996;Ishimoto et al, 2012a), and the ray-tracing geometric optics method (GOM) Liou, 1989, 1993;Macke, 1993;Macke et al, 1996a;Yang and Liou, 1998b;Masuda et al, 2012).…”
Section: Introductionmentioning
confidence: 99%
“…Macke et al, 1996a, b;McFarquhar and Heymsfield, 1996;Yang et al, 2000Yang et al, , 2005Yang et al, , 2013Um and McFarquhar, 2007Nousiainen et al, 2011;Baum et al, 2005Baum et al, , 2011Baran and C.-Labonnote, 2007;Ishimoto et al, 2012b;Liu et al, 2014a). Numerous light-scattering computation methods have been employed to calculate the single-scattering properties of the various ice particles, including the finitedifference time-domain (FDTD) method (Yee, 1966;Yang and Liou, 1998a;Sun et al, 1999, Ishimoto et al, 2012a, the T-matrix (Baran et al, 2001;Bi and Yang, 2014a, b), the discrete dipole approximation method (Purcell and Pennypacker, 1973;Draine and Flatau, 1994;Yurkin et al, 2007), the boundary element method (Mano, 2000;Groth et al, 2015), the pseudo-spectral time-domain method (Liu, 1997(Liu, , 1998Chen et al, 2008;Liu et al, 2012), the surface-integral equation method (Nakajima et al, 2009), the improved geometric optics method (IGOM) (Yang and Liou, 1996), geometric optics integral equation (GOIE) (Yang and Liou, 1996;Ishimoto et al, 2012a), and the ray-tracing geometric optics method (GOM) Liou, 1989, 1993;Macke, 1993;Macke et al, 1996a;Yang and Liou, 1998b;Masuda et al, 2012).…”
Section: Introductionmentioning
confidence: 99%
“…The conformal FDTD method on non-orthogonal grids [15][16][17], counter path FDTD method [18,19], and subgridding method [20][21][22] can represent curved interfaces suitably, but they are relatively difficult to implement and increase the memory and computation time. A different approach using effective permittivities (EPs), which derives from interface interpolations based on Ampere's and Faraday's integration laws, can reduce the error of the permittivity model on coarse grids in a simple implementation and at low computational cost [23][24][25][26][27][28][29][30][31][32][33][34][35]. The EP method, however, is not effective for plasmonic materials because the SP resonance condition is changed on interfaces due to interpolated values of EPs.…”
Section: Introductionmentioning
confidence: 99%
“…For example, the discrete-dipole approximation (DDA) method [7][8][9] simply cannot be applied for perfectly conducting particles, because of the zero inside fields. The finite-difference time-domain (FDTD) technique [10][11][12][13] can be applied to calculate the near fields scattered by the metallic particles; but also due to the zero inside fields, the volume integral transformation of near fields to far fields cannot be applied, whereas the virtualsurface integral transformation involves significant errors because of the FDTD errors in the forward-scattering near fields [14]. Therefore, an accurate calculation of light scattering by general scattering systems composed of nonspherical particles and involving multiple scattering will still be a challenging problem in the foreseeable future.…”
Section: Methodsmentioning
confidence: 99%