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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 13 — May. 1, 1997
  • pp: 2947–2955

Computations of the Mueller matrix elements for scattering from layered structures with rough surfaces, with applications to optical detection

Ezekiel Bahar and Robert D. Kubik  »View Author Affiliations


Applied Optics, Vol. 36, Issue 13, pp. 2947-2955 (1997)
http://dx.doi.org/10.1364/AO.36.002947


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Abstract

A full-wave method is used to evaluate the Mueller matrix elements for scattering from layered structures with random rough surfaces. These provide a database for applications in optical detection over a broad range of rough surface statistical parameters. They can be used to determine the optimal frequencies and incident angles that provide most reliable measurements for optical detection. The elements of the Mueller matrix that are most sensitive to medium parameters of the layered structures can also be identified. Contributions from individual terms of the full-wave solutions are shown to have distinct physical interpretations.

© 1997 Optical Society of America

History
Original Manuscript: September 30, 1995
Revised Manuscript: October 11, 1996
Published: May 1, 1997

Citation
Ezekiel Bahar and Robert D. Kubik, "Computations of the Mueller matrix elements for scattering from layered structures with rough surfaces, with applications to optical detection," Appl. Opt. 36, 2947-2955 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-13-2947


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References

  1. E. Bahar, “Depolarization of electromagnetic waves excited by distribution of electric and magnetic sources in inhomogeneous multi-layered structures of arbitrarily varying thickness—full wave solutions,” J. Math. Phys. 14, 1510–1515 (1973). [CrossRef]
  2. E. Bahar, “Depolarization in nonuniform multi-layered structures—full wave solutions,” J. Math. Phys. 15, 202–208 (1974). [CrossRef]
  3. E. Bahar, R. D. Kubik, “Scattering by layered structures with rough surfaces: comparison of polarimetric optical scatterometer measurements with theory,” Appl. Opt. 36, 1–7 (1997).
  4. E. Bahar, S. M. Haugland, “Multiple scattering of electromagnetic waves from coated rough surfaces,” in Proceedings of the 1990 Scientific Conference on Obscuration and Aerosol Research (Chemical Research, Development and Engineering Center, U.S. Army Armament, Munitions and Chemical Command, Aberdeen Proving Ground, Md., 1991), pp. 379–384.
  5. E. Bahar, M. A. Fitzwater, “Full wave physical models of nonspecular scattering in irregular stratified media,” IEEE Trans. Antennas Propag. 37, 1609–1615 (1989). [CrossRef]
  6. R. D. Kubik, “Scattering and depolarization upon transmission across and multiple reflections from irregular multi-layered structures,” Ph.D. dissertation (University of Nebraska-Lincoln, Lincoln, Neb., 1993).
  7. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vols. 1 and 2.
  8. E. Bahar, B. S. Lee, “Full wave solutions for rough surface bistatic radar cross sections—comparison with small perturbation, physical optics solutions numerical and experimental results,” Radio Sci. 29, 407–429 (1994). [CrossRef]
  9. P. Beckman, Orthogonal Polynomials for Engineers and Physicists (Golem, Boulder, Colo., 1973).
  10. E. Bahar, Y. F. Lee, “Scattering cross sections of non-Gaussian rough surfaces: unified full wave approach,” IEEE Trans. Antennas Propag. 39, 1777–1781 (1991). [CrossRef]
  11. E. Bahar, M. A. Fitzwater, “Shadowing by non-Gaussian rough surfaces for which decorrelation implies statistical independence,” Radio Sci. 18, 566–572 (1983). [CrossRef]
  12. M. Abramowitz, I. A. Stegun, Handbook of Mathematical Tables, Applied Math Series55 (National Bureau of Standards, Washington, D.C., 1964).
  13. For the convenience of the reader, Beckman’s principal results are summarized here. There are errors in the published results, corrected equations are Eqs. (21) and (25).
  14. M. I. Sancer, “Shadow corrected electromagnetic scattering from a randomly rough surface,” IEEE Trans. Antennas Propag. AP-17, 577–585 (1968).
  15. S. M. Haugland, E. Bahar, A. H. Carrieri, “Polarized IR scattering used to identify contaminant coatings over rough surfaces,” in Proceedings of the 1991 Scientific Conference on Obscuration and Aerosol Research (Chemical Research, Development and Engineering Center, U.S. Army Armament, Munitions and Chemical Command, Aberdeen Proving Ground, Md., 1992), pp. 143–155.
  16. E. Bahar, J. R. Wait, “Propagation in a model terrestrial waveguide of nonuniform height, theory and experiment,” Radio Sci. J. Res. 69D, 1445–1463 (1965).

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