OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 9 — Sep. 1, 1998
  • pp: 2351–2354

Monolayers of discrete scatterers: comparison of the single-scattering and quasi-crystalline approximations

Valery A. Loiko, Vladimir P. Dick, and Vladimir I. Molochko  »View Author Affiliations


JOSA A, Vol. 15, Issue 9, pp. 2351-2354 (1998)
http://dx.doi.org/10.1364/JOSAA.15.002351


View Full Text Article

Acrobat PDF (206 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The calculations of the monolayer coherent transmittance of isotropic, homogeneous, spherical scatterers is compared in the single-scattering and quasi-crystalline approximations for values of size parameters smaller than 10.0 and monolayer filling coefficients smaller than 0.6. The radial particle distribution function is described in the approximation of absolutely hard disks. The difference in calculation in the single-scattering and quasi-crystalline approximations is shown to be less than a few tenths of 1% for refractive index m=1.1−i0.0 and less than 1% for m=1.2−i0.0. A difference of 5% occurs for filling coefficients smaller than 0.4 for m=1.4−i0.0.

© 1998 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(160.3710) Materials : Liquid crystals
(290.0290) Scattering : Scattering
(290.2200) Scattering : Extinction
(310.0310) Thin films : Thin films
(350.4990) Other areas of optics : Particles

Citation
Valery A. Loiko, Vladimir P. Dick, and Vladimir I. Molochko, "Monolayers of discrete scatterers: comparison of the single-scattering and quasi-crystalline approximations," J. Opt. Soc. Am. A 15, 2351-2354 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-9-2351


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. A. P. Ivanov, V. A. Loiko, and V. P. Dick, Propagation of Light in Densely Packed Disperse Media (Nauka i Tekhnika, Minsk, 1988), Chap. 2 (in Russian).
  2. K. M. Hong, “Multiple scattering of electromagnetic waves by a crowded monolayer of spheres: application to migration imaging films,” J. Opt. Soc. Am. 70, 821–826 (1980).
  3. J. R. Kelly and Wei Wu, “Multiple scattering effects in polymer dispersed liquid crystals,” Liq. Cryst. 14, 1683–1694 (1993).
  4. R. L. Sutherland, V. P. Tondiglia, L. V. Natarajan, T. J. Bunning, and W. W. Adams, “Electrically switchable volume grating in polymer-dispersed liquid crystals,” Appl. Phys. Lett. 64, 1074–1076 (1994).
  5. T. J. Bunning, L. V. Natarajan, V. Tondiglia, Sutherland, D. L. Vezie, and W. W. Adams, “The morphology and performance of holographic transmission gratings recorded in polymer dispersed liquid crytals,” Polymer 36, 2699–2707 (1995).
  6. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983), Chap. 3.
  7. H. C. van de Hulst, Light Scattering by Small Particles (Wiley-Interscience, New York, 1957), Chap. 4.
  8. L. Tsang, J. Kong, and R. Shin, Theory of Microwave Remote Sensing (Wiley-Interscience, New York, 1985), Chap. 6.
  9. R. West, J. Gibbs, L. Tsang, and A. H. Fung, “Comparison of optical scattering experiments and the quasi-crystalline approximation for dense media,” J. Opt. Soc. Am. A 11, 1854–1858 (1994).
  10. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. 1, Chap. 6.
  11. V. Twersky, “Transparency of pair correlated, random distributions of small scatterers with applications to cornea,” J. Opt. Soc. Am. 65, 524–530 (1975).
  12. V. Twersky, “Coherent electromagnetic waves in pair-correlated random distributions of aligned scatterers,” J. Math. Phys. 19, 215–230 (1978).
  13. V. A. Loiko and V. I. Molochko, “Coherent transmission and reflection of a monolayer of discrete scatterers at oblique incidence of light waves,” Opt. Spectrosc. 79, 304–310 (1995) [translated from Opt. Spektrosk. (Russia) 79, 329–336 (1995)].
  14. V. A. Loiko and V. I. Molochko, “Coherent transmission and reflection by a monolayer of disperse scatterers,” Part. Part. Syst. Charact. 13, 227–233 (1996).
  15. V. P. Dick, V. A. Loiko, and A. P. Ivanov, “Light transmission by a monolayer of particles: comparison of experimental data with calculation as a single-scattering approximation,” Appl. Opt. 36, 6119–6122 (1997).
  16. L. S. Ornstein and F. Zernike, “Accidental deviations of density and opalescence at the critical point of a single substance,” Proc. Acad. Sci. Amsterdam 17, 793–806 (1914).
  17. J. K. Percus and G. J. Yevick, “Analysis of classical statistical mechanics by means of collective coordinates,” Phys. Rev. 110, 1–13 (1958).
  18. A. P. Ivanov, V. A. Loiko, and V. P. Dick, “Particularities in the extinction of light by the monolayer of particles,” J. Appl. Spectrosc. 47, 966–971 (1987) [translated from Zh. Priklad. Spektrosk. (Russia) 47, 494–500 (1987)].
  19. V. A. Loiko, A. P. Ivanov, and V. P. Dick, “Some peculiarities of passage of light through dispersion layers with a high concentration of dispersion material,” in Optics for Science and Technology, Proc. SPIE 2778, 321–322 (1996).
  20. J. M. Ziman, Models of Disorder (Cambridge U. Press, Cambridge, UK, 1979), Chap. 2.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited