## Application of a discontinuous Galerkin time domain method to simulation of optical properties of dielectric particles

Applied Optics, Vol. 49, Issue 15, pp. 2827-2840 (2010)

http://dx.doi.org/10.1364/AO.49.002827

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### Abstract

We applied a discontinuous Galerkin time domain (DGTD) method, using a fourth-order Runga–Kutta time stepping of the Maxwell equations, to the simulation of the optical properties of dielectric particles in two-dimensional (2D) geometry. As examples of the numerical implementation of this method, the single-scattering properties of 2D circular and hexagonal particles are presented. In the case of circular particles, the scattering phase matrix was computed using the DGTD method and compared with the exact solution. For hexagonal particles, the DGTD method was used to compute single-scattering properties of randomly oriented 2D hexagonal ice crystals, and results were compared with those calculated using a geometric optics method. We consider both shortwave (visible) and longwave (infrared) cases, with particle size parameters 50 and 100. In the hexagonal case, scattering results are also presented as a function of both incident and scattering angles, revealing a structure apparently not reported before. Using the geometric optics method, we are able to interpret this structure in terms of contributions from varying numbers of internal reflections within the crystal.

© 2010 Optical Society of America

**OCIS Codes**

(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics

(080.0080) Geometric optics : Geometric optics

(260.0260) Physical optics : Physical optics

(290.0290) Scattering : Scattering

**ToC Category:**

Scattering

**History**

Original Manuscript: December 24, 2009

Manuscript Accepted: January 19, 2010

Published: May 13, 2010

**Citation**

Guanglin Tang, R. Lee Panetta, and Ping Yang, "Application of a discontinuous Galerkin time domain method to simulation of optical properties of dielectric particles," Appl. Opt. **49**, 2827-2840 (2010)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-15-2827

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