High-order interior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder

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

Volumn 14, Issue 6, 1997, Pages 1305-1315

  Adler, C L ^a   Lock, James A ^a   Stone, Bradley R ^a   Garcia, Claudio J ^a  

^a CLEVELAND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC MATERIALS; GLASS; HELIUM NEON LASERS; LIGHT POLARIZATION; MATHEMATICAL MODELS; REFRACTIVE INDEX;

FRESNEL COEFFICIENTS; HIGH ORDER INTERIOR CAUSTICS; PLANE WAVE TILT ANGLE; RAY THEORY; SNELL LAW;

LIGHT SCATTERING;

EID: 0031161813     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.001305     Document Type: Article

References (38)

1. E. Hecht, Optics, 2nd ed. (Addison-Wesley, Reading, Mass., 1987), p. 222, Fig. 6.13.
2. D. S. Benincasa, P. W. Barber, J.-Z. Zhang, W.-F. Hsieh, and R. K. Chang, “Spatial distribution of the internal and near-field intensities of large cylindrical and spherical scatterers,” Appl. Opt. 26, 1348–1356 (1987).
3. K. Sassen, “Angular scattering and rainbow formation in pendant drops,” J. Opt. Soc. Am. 69, 1083–1089 (1979).
4. C. W. Chan and W. K. Lee, “Measurement of a liquid refractive index by using high-order rainbows,” J. Opt. Soc. Am. B 13, 532–535 (1996).
5. J. D. Walker, “Multiple rainbows from single drops of water and other liquids,” Am. J. Phys. 44, 421–433 (1976).
6. J. D. Walker, “How to create and observe a dozen rainbows in a single drop of water,” Sci. Am. 237(1), 138–144 (1977).
7. J. D. Walker, “Mysteries of rainbows, notably their rare supernumerary arcs,” Sci. Am. 242(6), 174–184 (1980).
8. J. A. Lock, “Contribution of high-order rainbows to the scattering of a Gaussian laser beam by a spherical particle,” J. Opt. Soc. Am. A 10, 693–706 (1993).
9. J. A. Lock, “Theory of the observations made of high-order rainbows from a single water droplet,” Appl. Opt. 26, 5291–5298 (1987).
10. H. C. van de Hulst and R. T. Wang, “Glare points,” Appl. Opt. 30, 4755–4763 (1991).
11. C. F. Bohren and A. B. Fraser, “Newton’s zero-order rainbow: unobservable or nonexistent,” Am. J. Phys. 59, 325–326 (1991).
12. A. E. Shapiro, “Comment on Newton’s zero-order rainbow: unobservable or nonexistent,” Am. J. Phys. 60, 749–750 (1992).
13. J. A. Lock and T. A. McCollum, “Further thoughts on Newton’s zero-order rainbow,” Am. J. Phys. 62, 1082–1089 (1994).
14. V. Srivastava and M. A. Jarzembski, “Laser-induced stimulated Raman scattering in the forward direction of a droplet: comparison of Mie theory with geometrical optics,” Opt. Lett. 16, 126–128 (1991).
15. J. A. Lock and E. A. Hovenac, “Internal caustic structure of illuminated liquid droplets,” J. Opt. Soc. Am. A 8, 1541–1552 (1991).
16. H. M. Lai, P. T. Leung, K. L. Poon, and K. Young, “Characterization of the internal energy density in Mie scattering,” J. Opt. Soc. Am. A 8, 1553–1558 (1991).
17. D. Q. Chowdhury, P. W. Barber, and S. C. Hill, “Energydensity distribution inside large nonabsorbing spheres using Mie theory and geometrical optics,” Appl. Opt. 31, 3518–3523 (1992).
18. M. A. Jarzembski and V. Srivastava, “Electromagnetic field enhancement in small liquid droplets using geometrical optics,” Appl. Opt. 28, 4962–4965 (1989).
19. J.-G. Xie, T. E. Ruekgauer, J. Gu, R. L. Armstrong, and R. G. Pinnick, “Observations of Descartes ring stimulated Raman scattering in micrometer-sized water droplets,” Opt. Lett. 16, 1310–1312 (1991).
20. P. Chylek, M. A. Jarzembski, N. Y. Chou, and R. G. Pinnick, “Effect of size and material of liquid spherical particles on laser-induced breakdown,” Appl. Phys. Lett. 49, 1475–1477 (1986).
21. R. G. Pinnick, P. Chylek, M. Jarzembski, E. Creegan, V. Srivastava, G. Fernandez, J. D. Pendleton, and A. Biswas, “Aerosol-induced laser breakdown thresholds: wavelength dependence,” Appl. Opt. 27, 987–996 (1988).
22. J. F. Nye, “Rainbow scattering from spheroidal drops-an explanation of the hyperbolic umbilic foci,” Nature (London) 312, 531–532 (1984).
23. J. F. Nye, “Rainbows from ellipsoidal water drops,” Proc. R. Soc. London, Ser. A 438, 397–417 (1992).
24. P. L. Marston and E. H. Trinh, “Hyperbolic umbilic diffraction catastrophe and rainbow scattering from spheroidal drops,” Nature (London) 312, 529–531 (1984).
25. P. L. Marston, “Cusp diffraction catastrophe from spheroids: generalized rainbows and inverse scattering,” Opt. Lett. 10, 588–590 (1985).
26. H. J. Simpson and P. L. Marston, “Scattering of white light from levitated oblate water drops near rainbows and other diffraction catastrophes,” Appl. Opt. 30, 3468–3473, 3547 (1991).
27. G. Kaduchak, P. L. Marston, and H. J. Simpson, “Eg diffraction catastrophe of the primary rainbow of oblate water drops: observations with white-light and laser illumination,” Appl. Opt. 33, 4691–4696 (1994).
28. G. Kaduchak and P. L. Marston, “Hyperbolic umbilic and E6 diffraction catastrophes associated with the secondary rainbow of oblate water drops: observations with laser illumination,” Appl. Opt. 33, 4697–4701 (1994).
29. P. L. Marston and G. Kaduchak, “Generalized rainbows and unfolded glories of oblate drops: organization for multiple internal reflections and extension of cusps into Alexander’s dark band,” Appl. Opt. 33, 4702–4713 (1994).
30. J. A. Lock, “Ray scattering by an arbitrarily oriented spheroid. II. Transmission and cross-polarization effects,” Appl. Opt. 35, 515–531 (1996).
31. J. F. Owen, R. K. Chang, and P. W. Barber, “Internal electric field distributions of a dielectric cylinder at resonance wavelengths,” Opt. Lett. 6, 540–542 (1981).
32. A. Steinhardt and L. Fukshansky, “Geometrical optics approach to the intensity distribution infinite cylindrical media,” Appl. Opt. 26, 3778–3789 (1987).
33. 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).
34. J. B. Keller and H. B. Keller, “Determination of reflected and transmitted fields by geometrical optics,” J. Opt. Soc. Am. 40, 48–52 (1950).
35. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), p. 264, Fig. 6.3.
36. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), p. 200, Fig. 8.4.
37. Y. Takano and M. Tanaka, “Phase matrix and cross sections for single scattering by circular cylinders: a comparison of ray optics and wave theory,” Appl. Opt. 19, 2781–2793 (1980).
38. G. P. Konnen, “Appearance of supernumeraries of the secondary rainbow in rain showers,” J. Opt. Soc. Am. A 4, 810–816 (1987).