Abstract

A rigorous electromagnetic theory of the diffraction of light by blazed lamellar gratings has been developed. It is applied to calculate the diffracted power distribution of four gratings (R1-R4) whose grooves have the following depths and widths (b,1) in units of grating period a: (0.433, 0.750), (0.333, 0.667), (0.250, 0.500), and (0.200, 0.400). All four gratings are theoretically blazed in the minus-first order for 30° incidence and for the wavelength equal to the grating period. The blaze is, however, broad band, and the minus-first-order theoretical power-conversion efficiency (P-1) for the most interesting grating, R3, exceeds 0.8, 0.9, 0.95, and 0.98 in the wavelength bands 0.84 a-1.49 a, 0.85 a-1.47 a, 0.87 a-1.43 a, and 0.98 a-1.31 a, respectively, for linearly polarized light. These surprising performances, which far exceed those obtainable with echelette gratings insofar as the incident light is linearly polarized, have been experimentally verified with the help of a microwave interference spectrometer, and point to the potential usefulness of blazed lamellar-reflection gratings in far-infrared spectroscopy.

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  1. F. A. Jenkins and H. E. Wllite, Fundamentals of Optics (McGraw-Hill Book Co., New York, 1957).
  2. G. W. Stroke, in Handbuch der Physik Vol. 29, S. Flügge, Ed. (Springer-Verlag, Berlin, 1967).
  3. R. Petit, Compt. Rend. 258, 1429 (1964).
  4. Lord Rayleigh, Phil. Mag. 14, 60 (1907); Proc. Roy. Soc. (London) A79, 399 (1907).
  5. R. W. Wood, Proc. Phys. Soc. (London) 18, 396 (1902); Phil. Mag. 4, 396 (1902).
  6. R. P. Madden and J. Strong, Concepts of Classical Optics (Freeman, San Francisco, 1958).
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  8. R. Petit, Rev. Opt. 45, 249, 353 (1966).
  9. G. W. Stroke, Rev. Opt. 39, 291 (1960).
  10. B. A. Lippmann, J. Opt. Soc. Am. 43, 408 (1953).
  11. W. C. Meecham, J. Acoust. Soc. Am. 28, 370 (1955).
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  13. A. Wirgin, Rev. Opt. 43, 449 (1964); 44, 20 (1965).
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  28. R. W. Wood, Phil. Mag. 23, 315 (1912); Phys. Rev. 48, 928 (1935).
  29. A. Wirgin, French patent, BF No. prov. 179261, 19 December 1968.

Bousquet, P.

P. Bousquet, Japan J. Appl. Phys. 4, suppl. 1, 549 (1965).

Chauvineau, J. P.

J. P. Chauvineau, L. Constanciel, A. Marraud, and R. Petit, Rev. Opt. 46, 417 (1967).

Constanciel, L.

J. P. Chauvineau, L. Constanciel, A. Marraud, and R. Petit, Rev. Opt. 46, 417 (1967).

Décamps, E.

A. Hadni, E. Décamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

Deleuil, R.

R. Deleuil and F. Varnier, Compt. Rend. B267, 1074 (1968).

R. Deleuil, Opt. Acta 16, 23 (1969).

Evering, F. C.

C. H. Palmer, F. C. Evering, and F. C. Nelson, Appl. Opt. 4, 1271 (1965).

Grandjean, D.

A. Hadni, E. Décamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

Hadni, A.

A. Hadni, E. Décamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

Janot, C.

A. Hadni, E. Décamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

Jenkins, F. A.

F. A. Jenkins and H. E. Wllite, Fundamentals of Optics (McGraw-Hill Book Co., New York, 1957).

Lippmann, B. A.

B. A. Lippmann, J. Opt. Soc. Am. 43, 408 (1953).

Madden, R. P.

R. P. Madden and J. Strong, Concepts of Classical Optics (Freeman, San Francisco, 1958).

Marraud, A.

J. P. Chauvineau, L. Constanciel, A. Marraud, and R. Petit, Rev. Opt. 46, 417 (1967).

Meecham, W. C.

J. M. Proud, P. Tamarkin and W. C. Meecham, J. Appl. Phys. 28, 1298 (1957).

W. C. Meecham, J. Acoust. Soc. Am. 28, 370 (1955).

Nelson, F. C.

C. H. Palmer, F. C. Evering, and F. C. Nelson, Appl. Opt. 4, 1271 (1965).

Palmer, C. H.

C. H. Palmer, F. C. Evering, and F. C. Nelson, Appl. Opt. 4, 1271 (1965).

C. H. Palmer, J. Opt. Soc. Am. 42, 268 (1952).

Pavageau, J.

J. Pavageau, thesis, Ed. de la Rev. Opt., Paris (1966).

Petit, R.

J. P. Chauvineau, L. Constanciel, A. Marraud, and R. Petit, Rev. Opt. 46, 417 (1967).

R. Petit, Compt. Rend. 258, 1429 (1964).

R. Petit, Rev. Opt. 45, 249, 353 (1966).

Proud, J. M.

J. M. Proud, P. Tamarkin and W. C. Meecham, J. Appl. Phys. 28, 1298 (1957).

Rayleigh, Lord

Lord Rayleigh, Phil. Mag. 14, 60 (1907); Proc. Roy. Soc. (London) A79, 399 (1907).

Stroke, G. W.

G. W. Stroke, Rev. Opt. 39, 291 (1960).

G. W. Stroke, in Handbuch der Physik Vol. 29, S. Flügge, Ed. (Springer-Verlag, Berlin, 1967).

G. W. Stroke, Phys. Letters 5, 45 (1963).

Strong, J.

R. P. Madden and J. Strong, Concepts of Classical Optics (Freeman, San Francisco, 1958).

Tamarkin, P.

J. M. Proud, P. Tamarkin and W. C. Meecham, J. Appl. Phys. 28, 1298 (1957).

Varnier, F.

R. Deleuil and F. Varnier, Compt. Rend. B267, 1074 (1968).

Wirgin, A.

A. Wirgin, Compt. Rend. B262, 870 (1966).

A. Wirgin, Compt. Rend. B262, 385 (1966).

A. Wirgin, French patent, BF No. prov. 179261, 19 December 1968.

A. Wirgin, Compt. Rend. B262, 1032 (1966).

A. Wirgin, Rev. Opt. 43, 449 (1964); 44, 20 (1965).

A. Wirgin, Rev. Opt. 47, 333 (1968).

A. Wirgin, French patent, BF No. prov. 159952, 19 July 1968.

A. Wirgin, Compt. Rend. B262, 579 (1966).

Wllite, H. E.

F. A. Jenkins and H. E. Wllite, Fundamentals of Optics (McGraw-Hill Book Co., New York, 1957).

Wood, R. W.

R. W. Wood, Proc. Phys. Soc. (London) 18, 396 (1902); Phil. Mag. 4, 396 (1902).

R. W. Wood, Phil. Mag. 23, 315 (1912); Phys. Rev. 48, 928 (1935).

Other (29)

F. A. Jenkins and H. E. Wllite, Fundamentals of Optics (McGraw-Hill Book Co., New York, 1957).

G. W. Stroke, in Handbuch der Physik Vol. 29, S. Flügge, Ed. (Springer-Verlag, Berlin, 1967).

R. Petit, Compt. Rend. 258, 1429 (1964).

Lord Rayleigh, Phil. Mag. 14, 60 (1907); Proc. Roy. Soc. (London) A79, 399 (1907).

R. W. Wood, Proc. Phys. Soc. (London) 18, 396 (1902); Phil. Mag. 4, 396 (1902).

R. P. Madden and J. Strong, Concepts of Classical Optics (Freeman, San Francisco, 1958).

G. W. Stroke, Phys. Letters 5, 45 (1963).

R. Petit, Rev. Opt. 45, 249, 353 (1966).

G. W. Stroke, Rev. Opt. 39, 291 (1960).

B. A. Lippmann, J. Opt. Soc. Am. 43, 408 (1953).

W. C. Meecham, J. Acoust. Soc. Am. 28, 370 (1955).

P. Bousquet, Japan J. Appl. Phys. 4, suppl. 1, 549 (1965).

A. Wirgin, Rev. Opt. 43, 449 (1964); 44, 20 (1965).

J. Pavageau, thesis, Ed. de la Rev. Opt., Paris (1966).

R. Deleuil, Opt. Acta 16, 23 (1969).

J. M. Proud, P. Tamarkin and W. C. Meecham, J. Appl. Phys. 28, 1298 (1957).

A. Hadni, E. Décamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

A. Wirgin, Compt. Rend. B262, 385 (1966).

A. Wirgin, Compt. Rend. B262, 579 (1966).

A. Wirgin, Compt. Rend. B262, 870 (1966).

A. Wirgin, Compt. Rend. B262, 1032 (1966).

A. Wirgin, Rev. Opt. 47, 333 (1968).

A. Wirgin, French patent, BF No. prov. 159952, 19 July 1968.

J. P. Chauvineau, L. Constanciel, A. Marraud, and R. Petit, Rev. Opt. 46, 417 (1967).

R. Deleuil and F. Varnier, Compt. Rend. B267, 1074 (1968).

C. H. Palmer, J. Opt. Soc. Am. 42, 268 (1952).

C. H. Palmer, F. C. Evering, and F. C. Nelson, Appl. Opt. 4, 1271 (1965).

R. W. Wood, Phil. Mag. 23, 315 (1912); Phys. Rev. 48, 928 (1935).

A. Wirgin, French patent, BF No. prov. 179261, 19 December 1968.

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