Abstract

Numerical solution of integral equations for the surface current on perfectly conducting echelette-type diffraction gratings is used for comparison with the results of five approximate-analysis techniques. The edge singularity of the current for the <i>P</i>(<i>E</i><sub>II]</sub>) polarization and the relatively large current in the shadow region for the <i>S</i>(<i>H</i><sub>II</sub>) polarization give some insight into the rather restricted limits of validity of the perturbation, scalar diffraction, and physical-optics techniques. Two more-general approaches, based on the Rayleigh hypothesis of using only outward-diffracted orders, while considerably more versatile, are found to be at best of marginal use in studying the physical phenomena associated with typical echelette gratings.

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  1. J. Strong, Concepts of Classical Optics (Freeman, San Francisco, 1958).
  2. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963).
  3. J. Pavageaus, Rev. Opt. 42, 451 (1963).
  4. W. C. Meecham, J. Appl. Phys. 27, 361 (1955).
  5. R. Petit, Compt. Rend. 257, 2018 (1962).
  6. H. A. Kalhor and A. R. Neureuther, J. Opt. Soc. Am. 61, 43 (1971).
  7. Lord Rayleigh, Proc. Roy. Soc., (London) A79, 399 (1907).
  8. S. Sesnic, Ph.D. thesis, University of California, Berkeley (1966).

Beckmann, P.

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963).

Kalhor, H. A.

H. A. Kalhor and A. R. Neureuther, J. Opt. Soc. Am. 61, 43 (1971).

Meecham, W. C.

W. C. Meecham, J. Appl. Phys. 27, 361 (1955).

Neureuther, A. R.

H. A. Kalhor and A. R. Neureuther, J. Opt. Soc. Am. 61, 43 (1971).

Pavageaus, J.

J. Pavageaus, Rev. Opt. 42, 451 (1963).

Petit, R.

R. Petit, Compt. Rend. 257, 2018 (1962).

Rayleigh, Lord

Lord Rayleigh, Proc. Roy. Soc., (London) A79, 399 (1907).

Sesnic, S.

S. Sesnic, Ph.D. thesis, University of California, Berkeley (1966).

Spizzichino, A.

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963).

Strong, J.

J. Strong, Concepts of Classical Optics (Freeman, San Francisco, 1958).

Other (8)

J. Strong, Concepts of Classical Optics (Freeman, San Francisco, 1958).

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963).

J. Pavageaus, Rev. Opt. 42, 451 (1963).

W. C. Meecham, J. Appl. Phys. 27, 361 (1955).

R. Petit, Compt. Rend. 257, 2018 (1962).

H. A. Kalhor and A. R. Neureuther, J. Opt. Soc. Am. 61, 43 (1971).

Lord Rayleigh, Proc. Roy. Soc., (London) A79, 399 (1907).

S. Sesnic, Ph.D. thesis, University of California, Berkeley (1966).

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