## Scattering of a zero-order Bessel beam by arbitrarily shaped homogeneous dielectric particles |

JOSA A, Vol. 30, Issue 10, pp. 1913-1920 (2013)

http://dx.doi.org/10.1364/JOSAA.30.001913

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### Abstract

In this paper, we introduce an efficient numerical method based on surface integral equations to characterize the scattering of a zero-order Bessel beam by arbitrarily shaped homogeneous dielectric particles. The incident beam is described by vector expressions in terms of the electric and magnetic fields that perfectly satisfy Maxwell’s equations. The scattering problems involving homogeneous dielectric particles with arbitrary shapes are formulated with the electric and magnetic current combined-field integral equation and modeled by using surface triangular patches. Solutions are performed iteratively by using the multilevel fast multipole algorithm. Some numerical results are included to illustrate the validity and capability of the proposed method. These results are also expected to provide useful insights into the scattering of a Bessel beam by complex-shaped particles.

© 2013 Optical Society of America

**OCIS Codes**

(140.0140) Lasers and laser optics : Lasers and laser optics

(290.5850) Scattering : Scattering, particles

(050.1755) Diffraction and gratings : Computational electromagnetic methods

**ToC Category:**

Scattering

**History**

Original Manuscript: June 18, 2013

Revised Manuscript: August 7, 2013

Manuscript Accepted: August 8, 2013

Published: September 4, 2013

**Citation**

Zhiwei Cui, Yiping Han, and Lu Han, "Scattering of a zero-order Bessel beam by arbitrarily shaped homogeneous dielectric particles," J. Opt. Soc. Am. A **30**, 1913-1920 (2013)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-10-1913

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### References

- S. Kozaki, “Scattering of a Gaussian beam by a homogeneous dielectric cylinder,” J. Appl. Phys. 53, 7195–7200 (1982). [CrossRef]
- J. S. Kim and S. S. Lee, “Scattering of laser beams and the optical potential well for a homogeneous sphere,” J. Opt. Soc. Am. 73, 303–312 (1983). [CrossRef]
- G. Gouesbet, B. Maheu, and G. Gréhan, “Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation,” J. Opt. Soc. Am. A 5, 1427–1443 (1988). [CrossRef]
- J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64, 1632–1639 (1988). [CrossRef]
- G. Gouesbet, “Scattering of higher-order Gaussian beams by an infinite cylinder,” J. Opt. 28, 45–65 (1997). [CrossRef]
- K. F. Ren, G. Gréhan, and G. Gouesbet, “Scattering of a Gaussian beam by an infinite cylinder in the framework of generalized Lorenz–Mie theory: formulation and numerical results,” J. Opt. Soc. Am. A 14, 3014–3025 (1997). [CrossRef]
- J. A. Lock, “Scattering of a diagonally incident focused Gaussian beam by an infinitely long homogeneous circular cylinder,” J. Opt. Soc. Am. A 14, 640–652 (1997). [CrossRef]
- Y. P. Han and Z. S. Wu, “Scattering of a spheroidal particle illuminated by a Gaussian beam,” Appl. Opt. 40, 2501–2509 (2001). [CrossRef]
- Y. P. Han, G. Gréhan, and G. Gouesbet, “Generalized Lorenz–Mie theory for a spheroidal particle with off-axis Gaussian-beam illumination,” Appl. Opt. 42, 6621–6629 (2003). [CrossRef]
- Z. W. Cui, Y. P. Han, and H. Y. Zhang, “Scattering of an arbitrarily incident focused Gaussian beam by arbitrarily shaped dielectric particles,” J. Opt. Soc. Am. B 28, 2625–2632 (2011). [CrossRef]
- P. L. Marston, “Scattering of a Bessel beam by a sphere,” J. Acoust. Soc. Am. 121, 753–758 (2007). [CrossRef]
- X. B. Ma and E. B. Li, “Scattering of an unpolarized Bessel beam by spheres,” Chin. Opt. Lett. 8, 1195–1198 (2010). [CrossRef]
- F. G. Mitri, “Arbitrary scattering of an electromagnetic zero-order Bessel beam by a dielectric sphere,” Opt. Lett. 36, 766–768 (2011). [CrossRef]
- F. G. Mitri, “Electromagnetic wave scattering of a high-order Bessel vortex beam by a dielectric sphere,” IEEE Trans. Antennas Propag. 59, 4375–4379 (2011). [CrossRef]
- R. X. Li, C. Y. Ding, K. F. Ren, X. E. Han, L. X. Guo, Z. S. Wu, and S. X. Gong, “Scattering of a high-order Bessel beam by a sphere,” 10th International Symposium on Antennas, Propagation & EM Theory (ISAPE, 2012), pp. 833–836.
- A. J. Poggio and E. K. Miller, Computer Techniques for Electromagnetics (Pergamon, 1973).
- Y. Chang and R. F. Harrington, “A surface formulation for characteristic modes of material bodies,” IEEE Trans. Antennas Propag. 25, 789–795 (1977). [CrossRef]
- T. K. Wu and L. L. Tsai, “Scattering from arbitrarily shaped lossy dielectric bodies of revolution,” Radio Sci. 12, 709–718 (1977). [CrossRef]
- K. Umashankar, A. Taflove, and S. M. Rao, “Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric objects,” IEEE Trans. Antennas Propag. 34, 758–766 (1986). [CrossRef]
- R. F. Harrington, “Boundary integral formulations for homogeneous material bodies,” J. Electromagn. Waves Appl. 3, 1–15 (1989).
- S. M. Rao and D. R. Wilton, “E-field, H-field, and combined field solution for arbitrarily shaped three-dimensional dielectric bodies,” Electromagnetics 10, 407–421 (1990). [CrossRef]
- X. Q. Sheng, J. Ming, J. Jin, M. Song, W. C. Chew, and C. C. Lu, “Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies,” IEEE Trans. Antennas Propag. 46, 1718–1726 (1998). [CrossRef]
- P. Ylä-Oijala and M. Taskinen, “Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects,” IEEE Trans. Antennas Propag. 53, 1168–1173 (2005). [CrossRef]
- Ö. Ergül and L. Gürel, “Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm,” IEEE Trans. Antennas Propag. 57, 176–187 (2009). [CrossRef]
- L. Landesa, M. J. Araújo, J. M. Taboada, L. Bote, and F. Obelleiro, “Improving condition number and convergence of the surface integral-equation method of moments for penetrable bodies,” Opt. Express 20, 17237–17249 (2012). [CrossRef]
- Z. W. Cui, Y. P. Han, Q. Xu, and M. L. Li, “Parallel MOM solution of JMCFIE for scattering by 3-D electrically large dielectric objects,” Prog. Electromagn. Res. M 12, 217–228 (2010).
- J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, “Surface integral equation formulation for the analysis of left-handed metamaterials,” Opt. Express 18, 15876–15886 (2010). [CrossRef]
- J. M. Taboada, J. Rivero, F. Obelleiro, M. J. Araújo, and L. Landesa, “Method-of-moments formulation for the analysis of plasmonic nano-optical antennas,” J. Opt. Soc. Am. A 28, 1341–1348 (2011). [CrossRef]
- R. F. Harrington, Field Computation by Moment Methods (Macmillan, 1968).
- J. Song, C.-C. Lu, and W. C. Chew, “Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects,” IEEE Trans. Antennas Propag. 45, 1488–1493 (1997). [CrossRef]
- Ö. Ergül and L. Gürel, “Efficient solution of the electric and magnetic current combined-field integral equation with the multilevel fast multipole algorithm and block-diagonal preconditioning,” Radio Sci. 44, RS6001 (2009). [CrossRef]
- M. J. Araújo, J. M. Taboada, J. Rivero, D. M. Solís, and F. Obelleiro, “Solution of large-scale plasmonic problems with the multilevel fast multipole algorithm,” Opt. Lett. 37, 416–418 (2012). [CrossRef]
- J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4, 651–654 (1987). [CrossRef]
- S. R. Mishra, “A vector wave analysis of a Bessel beam,” Opt. Commun. 85, 159–161 (1991). [CrossRef]
- A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University, 1957).
- S. M. Rao, D. R. Wilton, and A. W. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Trans. Antennas Propag. 30, 409–418 (1982). [CrossRef]

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