## Scattering of a pulsed wave by a sphere with an eccentric spherical inclusion |

JOSA A, Vol. 29, Issue 4, pp. 605-616 (2012)

http://dx.doi.org/10.1364/JOSAA.29.000605

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### Abstract

A dielectric sphere with an eccentric spherical dielectric inclusion and an incident amplitude-modulated plane electromagnetic wave constitute an exterior radiation problem, which is solved in this paper. A solution is obtained by combined use of the Fourier transform and the indirect-mode-matching method. The analysis yields a set of linear equations for the wave amplitudes of the frequency-domain expansion of the electric-field intensity within and outside the externally spherical inhomogeneous body; that set is solved by truncation and matrix inversion. The shape of the backscattered pulse in the time domain is determined by application of the inverse fast Fourier transform. Numerical results are shown for a pulse backscattered by an acrylic sphere that contains an eccentric spherical cavity. The effects of cavity position and size on pulse spreading and delay are discussed.

© 2012 Optical Society of America

**OCIS Codes**

(290.1350) Scattering : Backscattering

(290.4020) Scattering : Mie theory

(290.5825) Scattering : Scattering theory

**ToC Category:**

Scattering

**History**

Original Manuscript: October 13, 2011

Revised Manuscript: January 15, 2012

Manuscript Accepted: January 15, 2012

Published: March 26, 2012

**Virtual Issues**

Vol. 7, Iss. 6 *Virtual Journal for Biomedical Optics*

**Citation**

Fotini Vervelidou and Dimitrios Chrissoulidis, "Scattering of a pulsed wave by a sphere with an eccentric spherical inclusion," J. Opt. Soc. Am. A **29**, 605-616 (2012)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-29-4-605

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### References

- M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, eds., Light Scattering by Nonspherical Particles (Academic, 2000).
- N. C. Skaropoulos, M. P. Ioannidou, and D. P. Chrissoulidis, “Indirect mode-matching solution to scattering from a dielectric sphere with an eccentric inclusion,” J. Opt. Soc. Am. A 11, 1859–1866 (1994). [CrossRef]
- M. P. Ioannidou, N. C. Skaropoulos, and D. P. Chrissoulidis, “Study of interactive scattering by clusters of spheres,” J. Opt. Soc. Am. A 12, 1782–1789 (1995). [CrossRef]
- M. P. Ioannidou and D. P. Chrissoulidis, “Electromagnetic-wave scattering by a sphere with multiple spherical inclusions,” J. Opt. Soc. Am. A 19, 505–512 (2002). [CrossRef]
- A. P. Moneda and D. P. Chrissoulidis, “Dyadic Green’s function of a sphere with an eccentric spherical inclusion,” J. Opt. Soc. Am. 24, 1695–1703 (2007). [CrossRef]
- A. P. Moneda and D. P. Chrissoulidis, “Dyadic Green’s function of a cluster of spheres,” J. Opt. Soc. Am. 24, 3437–3443 (2007). [CrossRef]
- B. Miu and W. Yawei, “Scattering analysis for eccentric-sphere model of single-nuclear cell,” in Proceedings of Symposium on Photonics and Optoelectronics (2011), pp. 1–4.
- J. G. Fikioris and N. K. Uzunoglou, “Scattering from an eccentrically stratified dielectric sphere,” J. Opt. Soc. Am. 69, 1359–1366 (1979). [CrossRef]
- F. Borghese, P. Denti, R. Saija, and O. I. Sindoni, “Optical properties of spheres containing a spherical eccentric inclusion,” J. Opt. Soc. Am. A 9, 1327–1335 (1992). [CrossRef]
- J. A. Roumeliotis, N. B. Kakogiannos, and J. D. Kanellopoulos, “Scattering from a sphere of small radius embedded into a dielectric one,” IEEE Trans. Microwave Theory Tech. 43, 155–168 (1995). [CrossRef]
- G. Han, Y. Han, J. Liu, and Y. Zhang, “Scattering of an eccentric sphere arbitrarily located in a shaped beam,” J. Opt. Soc. Am. B 25, 2064–2072 (2008). [CrossRef]
- F. Borghese, P. Denti, and R. Saija, “Optical properties of spheres containing several spherical inclusions,” Appl. Opt. 33, 484–493 (1994). [CrossRef]
- N. C. Skaropoulos, M. P. Ioannidou, and D. P. Chrissoulidis, “Induced EM field in a layered eccentric spheres model of the head: plane-wave and localized source exposure,” IEEE Trans. Microwave Theory Tech. 44, 1963–1973 (1996). [CrossRef]
- A. P. Moneda, M. P. Ioannidou, and D. P. Chrissoulidis, “Radio-wave exposure of the human head: analytical study based on a versatile eccentric spheres model including a brain core and a pair of eyeballs,” IEEE Trans. Biomed. Eng. 50, 667–676 (2003). [CrossRef]
- E. E. M. Khaled and A. B. Alhasan, “Temporal behavior of short optical pulses scattered by small particles,” Phys. Scripta 54, 525–529 (1996). [CrossRef]
- L. Méès, G. Gouesbet, and G. Gréhan, “Transient internal and scattered fields from a multi-layered sphere illuminated by a pulsed laser,” Opt. Commun. 282, 4189–4193 (2009). [CrossRef]
- Y. P. Han, L. Méès, K. F. Ren, G. Gréhan, Z. S. Wu, and G. Gouesbet, “Far scattered field from a spheroid under a femtosecond pulsed illumination in a generalized Lorenz-Mie theory framework,” Opt. Commun. 231, 71–77 (2004). [CrossRef]
- G. Gouesbet and G. Gréhan, “Generic formulation of a generalized Lorenz-Mie theory for a particle illuminated by laser pulses,” Part. Part. Syst. Charact. 17, 213–224 (2000). [CrossRef]
- J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).
- P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part II (McGraw-Hill, 1953), pp. 1864–1891.
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1972).
- I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, 1980).
- S. Stein, “Addition theorems for spherical vector wave functions,” Quart. Appl. Math. 19, 15–24 (1961).
- O. R. Cruzan, “Translational addition theorems for spherical vector wave functions,” Quart. Appl. Math. 20, 33–40 (1962).
- J. D. Kanellopoulos and J. G. Fikioris, “Resonant frequencies in an electromagnetic eccentric spherical cavity,” Quart. Appl. Math. 37, 51–66 (1979).
- Y. L. Xu, “Efficient evaluation of vector translation coefficients in multiparticle light-scattering theories,” J. Comput. Phys. 139, 137–165 (1998). [CrossRef]
- A. Ishimaru, Wave Propagation and Scattering in Random Media, Vol. 1 (Academic, 1978).

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