## Finite-difference time-domain solution of light scattering by dielectric particles with large complex refractive indices

Applied Optics, Vol. 39, Issue 30, pp. 5569-5578 (2000)

http://dx.doi.org/10.1364/AO.39.005569

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### Abstract

The finite-difference time-domain (FDTD) technique is examined
for its suitability for studying light scattering by highly refractive
dielectric particles. It is found that, for particles with large
complex refractive indices, the FDTD solution of light scattering is
sensitive to the numerical treatments associated with the particle
boundaries. Herein, appropriate treatments of the particle
boundaries and related electric fields in the frequency domain are
introduced and examined to improve the accuracy of the FDTD
solutions. As a result, it is shown that, for a large complex
refractive index of 7.1499 + 2.914*i* for particles with
size parameters smaller than 6, the errors in extinction and absorption
efficiencies from the FDTD method are generally less than
∼4%. The errors in the scattering phase function are less than
∼5%. We conclude that the present FDTD scheme with appropriate
boundary treatments can provide a reliable solution for light
scattering by nonspherical particles with large complex refractive
indices.

© 2000 Optical Society of America

**OCIS Codes**

(010.1290) Atmospheric and oceanic optics : Atmospheric optics

(010.1310) Atmospheric and oceanic optics : Atmospheric scattering

(010.3920) Atmospheric and oceanic optics : Meteorology

(280.1100) Remote sensing and sensors : Aerosol detection

(290.1090) Scattering : Aerosol and cloud effects

(290.5850) Scattering : Scattering, particles

**History**

Original Manuscript: February 28, 2000

Revised Manuscript: June 19, 2000

Published: October 20, 2000

**Citation**

Wenbo Sun and Qiang Fu, "Finite-difference time-domain solution of light scattering by dielectric particles with large complex refractive indices," Appl. Opt. **39**, 5569-5578 (2000)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-30-5569

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### References

- L. J. Battan, Radar Observation of the Atmosphere (University of Chicago, Chicago, Ill., 1973).
- J. Nadobny, D. Sullivan, P. Wust, M. Seebass, P. Deuflhard, R. Felix, “A high-resolution interpolation at arbitrary interfaces for the fdtd method,” IEEE Trans. Microwave Theory Tech. 46, 1759–1766 (1998). [CrossRef]
- G. Mie, “Beigrade zur optik truber medien, speziell kolloidaler metallosungen,” Ann. Phys. (Leipzig) 25, 377–445 (1908). [CrossRef]
- S. Asano, G. Yamamoto, “Light scattering by a spheroidal particle,” Appl. Opt. 14, 29–49 (1975). [CrossRef] [PubMed]
- J. R. Wait, “Scattering of a plane wave from a circular dielectric cylinder at oblique incidence,” Can. J. Phys. 33, 189–195 (1955). [CrossRef]
- Lord Rayleigh, “The dispersal of light by a dielectric cylinder,” Philos. Mag. 36, 365–376 (1918). [CrossRef]
- K. A. Fuller, “Scattering and absorption cross sections of compounded spheres. I. Theory for external aggregation,” J. Opt. Soc. Am. A 11, 3251–3260 (1994). [CrossRef]
- M. I. Mishchenko, L. D. Travis, D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: a review,” J. Quant. Spectrosc. Radiat. Transfer. 55, 535–575 (1996). [CrossRef]
- E. M. Purcell, C. P. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 196, 705–714 (1973). [CrossRef]
- S. B. Singham, C. F. Bohren, “Light scattering by an arbitrary particle: a physical reformation of the coupled dipole method,” Opt. Lett. 12, 10–12 (1987). [CrossRef] [PubMed]
- B. T. Draine, “The discrete-dipole approximation and its application to interstellar graphite grains,” Astrophys. J. 333, 848–872 (1988). [CrossRef]
- P. J. Flatau, G. L. Stephens, B. T. Draine, “Light scattering by rectangular solids in the discrete-dipole approximation: a new algorithm exploiting the block-toeplitz structure,” J. Opt. Soc. Am. A 7, 593–600 (1990). [CrossRef]
- B. T. Draine, “The discrete dipole approximation for studying light scattering by irregular targets,” in Proceedings of the Conference on Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (American Meteorological Society, Boston, Mass., 1998).
- B. T. Draine, J. Goodman, “Beyond Clausius–Mossotti: wave propagation on a polarizable point lattice and the discrete dipole approximation,” Astrophys. J. 405, 685–697 (1993). [CrossRef]
- B. T. Draine, P. J. Flatau, “Discrete-dipole approximation for calculations,” J. Opt. Soc. Am. A 11, 1491–1499 (1994). [CrossRef]
- A. Hoekstra, J. Rahola, P. Sloot, “Accuracy of internal fields in volume integral equation simulations of light scattering,” Appl. Opt. 37, 8482–8497 (1998). [CrossRef]
- N. B. Piller, “Coupled-dipole approximation for high permittivity materials,” Opt. Commun. 160, 10–14 (1999). [CrossRef]
- K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equation in isotropic media,” IEEE Trans. Antennas Propag. AP-14, 302–307 (1966).
- P. Yang, K. N. Liou, “Finite-difference time domain method for light scattering by small ice crystals in three-dimensional space,” J. Opt. Soc. Am. A 13, 2072–2085 (1996). [CrossRef]
- W. B. Sun, Q. Fu, Z. Z. Chen, “Finite-difference time-domain solution of light scattering by dielectric particles with a perfectly matched layer absorbing boundary condition,” Appl. Opt. 38, 3141–3151 (1999). [CrossRef]
- J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994). [CrossRef]
- J. P. Berenger, “Three-dimensional perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 127, 363–379 (1996). [CrossRef]
- D. S. Katz, E. T. Thiele, A. Taflove, “Validation and extension to three dimensions of the Berenger PML absorbing boundary condition for FD-TD meshes,” IEEE Microwave Guided Wave Lett. 4, 268–270 (1994). [CrossRef]
- Q. Fu, P. Yang, W. B. Sun, “An accurate parameterization of the infrared radiative properties of cirrus clouds for climate models,” J. Climate 11, 2223–2237 (1998). [CrossRef]
- Q. Fu, W. B. Sun, P. Yang, “Modeling of scattering and absorption by nonspherical cirrus ice particles at thermal infrared wavelengths,” J. Atmos. Sci. 56, 2937–2947 (1999). [CrossRef]
- G. Videen, W. B. Sun, Q. Fu, “Light scattering from irregular tetrahedral aggregates,” Opt. Commun. 156, 5–9 (1998). [CrossRef]
- P. Yang, K. N. Liou, “Application of finite-difference time domain technique to light scattering by irregular and inhomogeneous particles,” in Proceedings of the Conference on Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (American Meteorological Society, Boston, Mass., 1998).
- P. Chýlek, V. Srivastava, “Dielectric constant of a composite inhomogeneous medium,” Phys. Rev. B 27, 5098–5106 (1983). [CrossRef]
- J. S. Dobbie, P. Chýlek, “Evaluation of effective medium theory for large inclusions using DDA,” in Proceedings of the Conference on Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (American Meteorological Society, Boston, Mass., 1998).
- G. H. Goedecke, S. G. O’Brien, “Scattering by irregular inhomogeneous particles via the digitized Green’s function algorithm,” Appl. Opt. 15, 2431–2437 (1988). [CrossRef]
- P. J. Flatau, G. L. Stephens, B. T. Draine, “Light scattering by rectangular solids in the discrete-dipole approximation: a new algorithm exploiting the block-toeplitz structure,” J. Opt. Soc. Am. A 7, 593–600 (1990). [CrossRef]
- M. I. Mishchenko, S. W. Hovenier, L. D. Travis, eds., Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (Academic, San Diego, Calif., 1999).

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