Debye series for light scattering by a spheroid

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 27, Issue 4, 2010, Pages 671-686

  Xu, Feng ^a   Lock, James A ^b   Tropea, A Cameron ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b CLEVELAND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICS;

AIRY FUNCTION; AIRY THEORY; ANGULAR SHIFT; DEBYE SERIES; ELECTROMAGNETIC SCATTERING; FAR-ZONE FIELDS; PHYSICAL PROCESS; SCATTERING PHENOMENON;

LIGHT SCATTERING;

EID: 77950384481     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.27.000671     Document Type: Article

References (40)

1. G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen," Ann. Phys. 25, 376-445 (1908).
2. R. J. Adrian, D. F. G. Durao, F. Durst, M. V. Heitor, M. Maeda, and J. H. Whitelaw, Laser Techniques Applied to Fluid Mechanics (Springer, 2000).
3. R. Xu, Particle Characterization: Light Scattering Methods (Kluwer Academic, 2000).
4. K. C. Neumann and S. M. Block, "Optical trapping," Rev. Sci. Instrum. 75, 2787-2809 (2004).
5. K. N. Liou, An Introduction to Atmospheric Radiation, 2nd ed. (Academic, 2002).
6. J. Guck, R. Ananthakrishnan, T. J. Moon, C. C. Cunningham, and J. Käs, "Optical deformability of soft biological dielectrics," Phys. Rev. Lett. 84, 5451-5454 (2000).
7. N. Roth, K. Anders, and A. Frohn, "Simultaneous measurement of temperature and size of droplets in micrometer range," J. Laser Appl. 2, 37-42 (1992).
8. L. P. Hsiang and G. M. Faeth, "Near-limit drop deformation and secondary breakup," Int. J. Multiphase Flow 18, 635-652 (1992).
9. T. D. Taylor and A. Acrivos, "On the deformation and drag of falling viscous drop at low Reynolds number," J. Fluid Mech. 18, 466-476 (1964).
10. G. Brenn and A. Frohn, "An experimental method for the investigation of droplet oscillations in a gaseous medium," Experientia 15, 85-90 (1993).
11. W. Möbius, "Zur Theorie des Regenbogens und ihrer experimentellen Prüfung," Ann. Phys. 33, 1493-1558 (1910).
12. C. L. Adler, J. A. Lock, and B. R. Stone, "Rainbow scattering by a cylinder with a nearly elliptical cross section," Appl. Opt. 37, 1540-1550 (1998).
13. F. Xu, K. F. Ren, X. Cai, and J. Shen, "Extension of geometrical-optics approximation to on-axis Gaussian beam scattering. II. By apheroidal particle with end-on incidence," Appl. Opt. 45, 5000-5009 (2006). (Pubitemid 44561591)
14. Y. P. Han, L. Méès, K. F. Ren, G. Gouesbet, Z. S. Wu, G. Grehan, "Scattering light by spheroids: the far field case," Opt. Commun. 210, 1-9 (2002). (Pubitemid 34965507)
15. . P. L. Marston and E. H. Trinh, "Hyperbolic umbilic diffraction catastrophe and rainbow scattering from spheroidal drops," Nature 312, 529-531 (1984).
16. . P. L. Marston, "Cusp diffraction catastrophes from spheroids: generalized rainbows and inverse scattering," Opt. Lett. 10, 588-590 (1985).
17. G. Kaduchak, P. L. Marston, and H. J. Simpson, "E6 diffraction catastrophe of the primary rainbow of oblate water drops: observations with white-light and laser illumination," Appl. Opt. 33, 4691-4696 (1994).
18. J. A. Lock and F. Xu, "Optical caustics observed in light scattering by an oblate spheroid," Appl. Opt. (to be published).
19. S. Asano and G. Yamamoto, "Light scattering by a spheroidal particle," Appl. Opt. 14, 29-49 (1975).
20. J. P. Barton, "Internal and near-surface electromagnetic fields for a spheroidal particle with arbitrary illumination," Appl. Opt. 34, 5542-5551 (1995).
21. Y. Han and Z. Wu, "Scattering of a spheroidal particle illuminated by a Gaussian beam," Appl. Opt. 40, 2501-2509 (2001).
22. F. Xu, K. Ren, G. Gouesbet, G. Gréhan, and X. Cai, "Generalized Lorenz-Mie theory for an arbitrarily oriented, located, and shaped beam scattered by a homogeneous spheroid," J. Opt. Soc. Am. A 24, 119-131 (2007). (Pubitemid 46172682)
23. B. van der Pol and H. Bremmer, "Diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere with applications to radiotelegraphy and the theory of the rainbow I," Philos. Mag. 24, 141-176, (1937).
24. B. van der Pol and H. Bremmer, "Diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere with applications to radiotelegraphy and the theory of the rainbow II," Philos. Mag. 24, 825-864, (1937).
25. G. Gouesbet, "Debye series formulation for generalized Lorenz-Mie theory with the Bromwich method," Part. Part. Syst. Charact. 20, 382-386 (2003).
26. P. Debye, "Das elektromagnetische Feld un einen Zylinder und die Theorie des Regenbogens," Phys. Z. 9, 775-778 (1908), translated and reprinted in Selected Papers on Geometrical Aspects of Scattering, P. L. Marston, ed., SPIE Milestone Series Vol. MS89 (SPIE, 1994), pp 198-204.
27. J. A. Lock and C. L. Adler, "Debye-series analysis of the first-order rainbow produced in scattering of a diagonally incident plane wave by a circular cylinder," J. Opt. Soc. Am. A 14, 1316-1328 (1997). (Pubitemid 127573901)
28. J. A. Lock, "Scattering of an electromagnetic plane wave by a Luneburg lens. II. Wave theory," J. Opt. Soc. Am. A 25, 2980-2990 (2008).
29. R. Li, X. Han, H. Jiang, and K. F. Ren, "Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder," Appl. Opt. 45, 6255-6262 (2006). (Pubitemid 44562782)
30. F. Xu, K. Ren, and X. Cai, "Expansion of arbitrarily oriented, located and shaped beam in spheroidal coordi-nates," J. Opt. Soc. Am. A 24, 109-118 (2007). (Pubitemid 46172681)
31. J. A. Lock and E. A. Hovenac, "Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series," J. Opt. Soc. Am. A 9, 781-795 (1992).
32. J. A. Lock, "Cooperative effects among partial waves in Mie scattering," J. Opt. Soc. Am. A 5, 2032-2044 (1988)
33. G. M. Hale and M. R. Querry, "Optical constants of water in the 200-nm to 200-μm wavelength region," Appl. Opt. 12, 555-563 (1973).
34. J. A. Lock, "Supernumerary spacing of rainbows produced by an elliptical-cross-section cylinder. I. Theory," Appl. Opt. 39, 5040-5051 (2000).
35. H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981), Chap. 13.
36. R. T. Wang and H. C. van de Hulst, "Rainbows: Mie computations and the Airy approximation," Appl. Opt. 30, 106-117 (1991).
37. J. Nocedal and S. J. Wright, Numerical Optimization (Springer-Verlag, 1999), Chap. 13.
38. J. A. Lock, "Scattering of an electromagnetic plane wave by a Luneburg lens. I. Ray theory," J. Opt. Soc. Am. A 25, 2971-2979 (2008).
39. D. S. Langley and M. J. Morrell, "Rainbow-enhanced forward and backward glory scattering," Appl. Opt. 30, 3459-3467 (1991).
40. S. Holler, Y. L. Pan, R. K. Chang, J. R. Bottiger, S. C. Hill, and D. B. Hillis, "Two-dimensional angular optical scattering for the characterization of airborne microparticles," Opt. Lett. 23, 1489-1491 (1998). (Pubitemid 128590597)