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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 1 — Jan. 1, 1980
  • pp: 1–6

Diffraction of optical beams with arbitrary profiles by a periodically modulated layer

R. S. Chu and J. A. Kong  »View Author Affiliations


JOSA, Vol. 70, Issue 1, pp. 1-6 (1980)
http://dx.doi.org/10.1364/JOSA.70.000001


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Abstract

The problem of diffraction of optical beams with arbitrary profiles by a periodically modulated layer is studied for incidence at normal or at the first Bragg angle. It is shown that the far-field patterns of the nth diffracted order of the transmitted and reflected waves are simply the algebraic multiplications of the angular spectral amplitude of the beam profile and the transmission and reflection coefficients for the nth-order diffracted plane wave. Numerical results are illustrated for six different beam profiles.

© 1980 Optical Society of America

Citation
R. S. Chu and J. A. Kong, "Diffraction of optical beams with arbitrary profiles by a periodically modulated layer," J. Opt. Soc. Am. 70, 1-6 (1980)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-70-1-1


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References

  1. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1965), Chap. 12, p. 579.
  2. R. S. Chu and T. Tamir, "Guided-wave theory of light diffraction by acoustic microwaves," IEEE Trans. Microwave Theory Tech. MTT-18, 485–504 (1970).
  3. W. Klein and B. Cook, "Unified approach to ultrasonic light diffraction," IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).
  4. R. S. Chu and J. A. Kong, "Modal theory of spatially periodic media," IEEE Trans. Microwave Theory Tech. MTT-25, 18–24 (1977).
  5. J. A. Kong, "Second-order coupled-mode equations for spatially periodic media," J. Opt. Soc. Am. 67, 825–829 (1977).
  6. D. L. Lee, An Integral Equation Formulation for Wave Propagation in Spatially-Periodic Media, Ph.D. dissertation, Massachusetts Institute of Technology, 1977 (unpublished).
  7. R. S. Chu and T. Tamir, "Bragg diffraction of Gaussian beams by periodically modulated media," J. Opt. Soc. Am. 66, 220–226 (1976).
  8. R. S. Chu and T. Tamir, "Diffraction of Gaussian beams by periodically modulated media for incidence close to a Bragg angle," J. Opt. Soc. Am. 66, 1438–1440 (1976).
  9. R. S. Chu, J. A. Kong, and T. Tamir, "Diffraction of Gaussian beams by a periodically modulated layer," J. Opt. Soc. Am. 67, 1555–1561 (1977).
  10. M. R. B. Forshaw, "Diffraction of a narrow laser beam by a thick hologram: Experimental results," Opt. Commun. 12, 279–281 (1974).
  11. L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960), Sec. 8, p. 100.

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