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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 4 — Apr. 1, 2004
  • pp: 523–531

Polarization of holographic grating diffraction. I. General theory

Tsu-Wei Nee and Soe-Mie F. Nee  »View Author Affiliations


JOSA A, Vol. 21, Issue 4, pp. 523-531 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000523


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Abstract

The full polarization property of volume holographic grating diffraction is investigated theoretically. With a simple volume grating model, the diffracted fields and Mueller matrices are first derived from Maxwell’s equations by using the Green’s function algorithms. The formalism is derived for the general case that the diffraction beam and the grating wave vector are not in the plane of incidence, where <i>s</i> waves and <i>p</i> waves are not decoupled. The derived photon-momentum relations determine the Bragg angle selectivity. The parameters of diffraction strength related to the hologram-writing process and material are defined and are not necessarily small in general. The diffracted-beam profiles are analytically calculated by using the known grating shape function. This theory has provided a fundamental understanding of the polarization phenomena of a real holographic diffraction grating device. The derived algorithm would provide a simulation-analysis tool for the engineering design of real holographic beam combiner/splitter devices.

© 2004 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(090.7330) Holography : Volume gratings
(260.5430) Physical optics : Polarization

Citation
Tsu-Wei Nee and Soe-Mie F. Nee, "Polarization of holographic grating diffraction. I. General theory," J. Opt. Soc. Am. A 21, 523-531 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-4-523


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References

  1. M. S. Shahriar, J. Riccobono, and W. Weathers, “Holographic beam combiner,” in Proceedings of the IEEE International Conference on Microwaves and Optics (Institute of Electrical and Electronics Engineers, New York, 1999), pp. 10–14.
  2. M. S. Shahriar, J. Riccobono, and W. Weathers, “Highly Bragg selective holographic laser beam combiner,” presented at the Solid State and Diode Laser Technology Review, Albuquerque, N.M., June 5–8, 2000.
  3. M. S. Shahriar, J. Riccobono, M. Kleinschmit, and J. T. Shen, “Coherent and incoherent beam combination using hologram substrates,” Opt. Commun. 220/1–3, 75–83 (2003).
  4. Digital Optical Technologies, Inc., “Holographic beam combiner for ladars, printers, fiber amplifiers and cancer treatment,” MDA SBIR Phases I & II program 1999–2003.
  5. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48, 2909–2947 (1969).
  6. C. B. Burckhardt, “Diffraction of a plane wave at a sinusoidally stratified dielectric grating,” J. Opt. Soc. Am. 56, 1502–1509 (1966).
  7. F. G. Kaspar, “Diffraction by thick, periodically stratified gratings with complex dielectric constant,” J. Opt. Soc. Am. 63, 37–45 (1973).
  8. S. Kessler and R. Kowarschik, “Diffraction efficiency of volume holograms,” Opt. Quantum Electron. 7, 1–14 (1975).
  9. R. Alferness, “Analysis of optical propagation in thick holographic gratings,” Appl. Phys. 7, 29–33 (1975).
  10. M. G. Moharam, T. K. Gaylord, and J. R. Leger, “Diffractive optics modeling,” J. Opt. Soc. Am. A 12, 1026–1027 (1995).
  11. J. R. Leger, M. G. Moharam, and T. K. Gaylord, “Diffractive optics modeling: introduction [to the feature issue],” Appl. Opt. 34, 2399–2400 (1995).
  12. G. Bao, D. C. Dobson, and J. A. Cox, “Mathematical studies in rigorous grating theory,” J. Opt. Soc. Am. A 12, 1029–1042 (1995).
  13. M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, “Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A 12, 1068–1076 (1995).
  14. T. W. Nee, “Surface-irregularity-enhanced subband resonance of seminconductos. I. General theory,” Phys. Rev. B 29, 3225–3238 (1984).
  15. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962).
  16. T.-W. Nee, S.-M. F. Nee, M. Kleinschmit, and S. Shahriar, “Polarization of holographic grating diffraction. II. Experiment,” J. Opt. Soc. Am. A 21, 532–539 (2004).
  17. R. A. Chipman, “Polarimetry,” in Handbook of Optics, M. Bass, E. W. Van Stryland, D. R. Williams, and W. L. Wolfe, eds. (McGraw Hill, New York, New York, 1995), Vol. II, pp. 22.1–22.37.
  18. S.-M. F. Nee, “Polarization measurement,” in The Measurement, Instrumentation and Sensors Handbook, J. G. Webster, ed. (CRC Press, Boca Raton, Fla., 1999), pp. 60.1–60.24.
  19. M. C. van de Hulst, Scattering of Light by Small Particles (Wiley, New York, 1957), p. 44.
  20. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977), p. 149.
  21. S. F. Nee, “Polarization of specular reflection and near-specular scattering by a rough surface,” Appl. Opt. 35, 3570–3582 (1996).

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