Abstract

The Bragg condition λ = 2<i>d</i> sin θ is presented as a necessary condition for perfect (100%) blazing of infinite, perfectly conducting diffraction gratings that produce only a single diffracted order, <i>n</i> = - 1. As an illustration, the rectangular-profile grating is analyzed. Design blaze curves, showing the required depth as a function of angle of incidence, for each polarization, are obtained. Intersections of corresponding blaze curves for the two polarizations yield parameters of gratings perfectly blazed simultaneously in both polarizations. The angle of incidence at which this is achieved depends on the shape of the grating. Gratings so designed have a theoretical 100% efficiency at the design frequency, and above 90% over a bandwidth of more than 10%.

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  1. G. W. Stroke, in Handbuch der Physik, Vol. 29, edited by S. Flügge (Springer, Berlin, 1967).
  2. D. Y. Tseng, Ph.D. dissertation (Polytechnic Institute of Brooklyn, 1967).
  3. D. Y. Tseng, A. Hessel, and A. A. Oliner, Alta Freq. 38, Special Issue, 82 (1969).
  4. A. R. Neureuther and K. Zaki, IEEE Trans. AP-19, 208 (1971); AP-19, 747 (1971).
  5. A. Hessel, D. E. E. dissertation (Polytechnic Institute of Brooklyn, 1960).
  6. A. Wirgin and R. Deleuil, J. Opt. Soc. Am. 59, 1348, (1969).
  7. L. R. Lewis, A. Hessel, and G. H. Knittel, IEEE Trans. AP-20, 712 (1972).

Deleuil, R.

A. Wirgin and R. Deleuil, J. Opt. Soc. Am. 59, 1348, (1969).

Hessel, A.

L. R. Lewis, A. Hessel, and G. H. Knittel, IEEE Trans. AP-20, 712 (1972).

D. Y. Tseng, A. Hessel, and A. A. Oliner, Alta Freq. 38, Special Issue, 82 (1969).

A. Hessel, D. E. E. dissertation (Polytechnic Institute of Brooklyn, 1960).

Knittel, G. H.

L. R. Lewis, A. Hessel, and G. H. Knittel, IEEE Trans. AP-20, 712 (1972).

Lewis, L. R.

L. R. Lewis, A. Hessel, and G. H. Knittel, IEEE Trans. AP-20, 712 (1972).

Neureuther, A. R.

A. R. Neureuther and K. Zaki, IEEE Trans. AP-19, 208 (1971); AP-19, 747 (1971).

Oliner, A. A.

D. Y. Tseng, A. Hessel, and A. A. Oliner, Alta Freq. 38, Special Issue, 82 (1969).

Stroke, G. W.

G. W. Stroke, in Handbuch der Physik, Vol. 29, edited by S. Flügge (Springer, Berlin, 1967).

Tseng, D. Y.

D. Y. Tseng, Ph.D. dissertation (Polytechnic Institute of Brooklyn, 1967).

D. Y. Tseng, A. Hessel, and A. A. Oliner, Alta Freq. 38, Special Issue, 82 (1969).

Wirgin, A.

A. Wirgin and R. Deleuil, J. Opt. Soc. Am. 59, 1348, (1969).

Zaki, K.

A. R. Neureuther and K. Zaki, IEEE Trans. AP-19, 208 (1971); AP-19, 747 (1971).

Other

G. W. Stroke, in Handbuch der Physik, Vol. 29, edited by S. Flügge (Springer, Berlin, 1967).

D. Y. Tseng, Ph.D. dissertation (Polytechnic Institute of Brooklyn, 1967).

D. Y. Tseng, A. Hessel, and A. A. Oliner, Alta Freq. 38, Special Issue, 82 (1969).

A. R. Neureuther and K. Zaki, IEEE Trans. AP-19, 208 (1971); AP-19, 747 (1971).

A. Hessel, D. E. E. dissertation (Polytechnic Institute of Brooklyn, 1960).

A. Wirgin and R. Deleuil, J. Opt. Soc. Am. 59, 1348, (1969).

L. R. Lewis, A. Hessel, and G. H. Knittel, IEEE Trans. AP-20, 712 (1972).

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