Abstract

The results of an analytical and numerical investigation of TM polarized plane wave scattering from an infinite, fin-corrugated surface are presented. The surface was composed of infinitely thin, perfectly conducting fins of spacing λ/2 < <i>a</i> < λ. Specular reflection from this ideal surface can be completely converted to backscatter in a direction opposite to the incident wave when the fin period and height are properly chosen. A procedure is described for the design and performance prediction of a finite, fin-corrugated surface composed of finitely thick fins. Experiments performed on some optimum, nonideal surfaces under TM polarized nonplane-wave illumination indicate that they behave essentially as predicted.

© 1976 Optical Society of America

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  1. D. Y. Tseng, "Equivalent Network Representation for High Efficiency Corrugated Blaze Grating," Proc. G-AP Symposium, Boulder, Colo. pp. 101–104 (1973) (unpublished).
  2. D. Y. Tseng, A. Hessel, and A. A. Oliner, "Scattering by a Multimode Corrugated Structure with Application to P type Wood Anomalies," Alta Frequenza 38N, 82–88 (1968).
  3. R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960), p. 430.
  4. J. A. DeSanto, "Scattering from a Periodic Corrugated Structure: Thin Comb with Soft Boundaries," J. Math. Phys. 12, 1913–1923 (1971).
  5. J. A. DeSanto, "Scattering from a Periodic Corrugated Structure II: Thin Comb with Hard Boundaries," J. Math. Phys. 13, 336–341 (1972).
  6. A. Hessel and H. Hochstadt, "Plane Wave Scattering From Modulated Corrugated Structures," Radio Sci. 3, 1019–1030 (1968).
  7. E. V. Jull and G. R. Ebbeson, "The Reduction of Interference from Large Reflecting Surfaces," IEEE Trans. Ant. Prop. (in Press).
  8. Reference 6, Eqs. (2)–(6).
  9. Reference2, p. 84; Ref. 3, pp. 433–437; Ref. 6, pp. 1026–1028.
  10. Reference 6, pp. 1023–1024.
  11. K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TE Polarization," IEEE Trans. Ant. Prop. AP-19, 208–214 (1971).
  12. K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TM Polarization," IEEE Trans. Ant. Prop. AP-19, 747–751 (1971).
  13. A. Wirgin and R. Deleuil, "Theoretical and Experimental Investigation of a New Type of Blazed Grating," J. Opt. Soc. Am. 59, 1348–1357 (1969).
  14. A. Hessel, J. Schmoys, and D. Y. Tseng, "Bragg-angle blazing of diffractiongratings,"J. Opt. Soc. Am. 65, 380–384 (1975).
  15. G. R. Ebbeson, "The Use of Fin-Corrugated Periodic Surfaces for the Reduction of Interference from Large Reflecting Surfaces," M. A. Sc. thesis (University of British Columbia, 1974) (unpublished).

1975

1974

G. R. Ebbeson, "The Use of Fin-Corrugated Periodic Surfaces for the Reduction of Interference from Large Reflecting Surfaces," M. A. Sc. thesis (University of British Columbia, 1974) (unpublished).

1973

D. Y. Tseng, "Equivalent Network Representation for High Efficiency Corrugated Blaze Grating," Proc. G-AP Symposium, Boulder, Colo. pp. 101–104 (1973) (unpublished).

1972

J. A. DeSanto, "Scattering from a Periodic Corrugated Structure II: Thin Comb with Hard Boundaries," J. Math. Phys. 13, 336–341 (1972).

1971

K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TE Polarization," IEEE Trans. Ant. Prop. AP-19, 208–214 (1971).

K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TM Polarization," IEEE Trans. Ant. Prop. AP-19, 747–751 (1971).

J. A. DeSanto, "Scattering from a Periodic Corrugated Structure: Thin Comb with Soft Boundaries," J. Math. Phys. 12, 1913–1923 (1971).

1969

1968

A. Hessel and H. Hochstadt, "Plane Wave Scattering From Modulated Corrugated Structures," Radio Sci. 3, 1019–1030 (1968).

D. Y. Tseng, A. Hessel, and A. A. Oliner, "Scattering by a Multimode Corrugated Structure with Application to P type Wood Anomalies," Alta Frequenza 38N, 82–88 (1968).

Collin, R. E.

R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960), p. 430.

Deleuil, R.

DeSanto, J. A.

J. A. DeSanto, "Scattering from a Periodic Corrugated Structure II: Thin Comb with Hard Boundaries," J. Math. Phys. 13, 336–341 (1972).

J. A. DeSanto, "Scattering from a Periodic Corrugated Structure: Thin Comb with Soft Boundaries," J. Math. Phys. 12, 1913–1923 (1971).

Ebbeson, G. R.

G. R. Ebbeson, "The Use of Fin-Corrugated Periodic Surfaces for the Reduction of Interference from Large Reflecting Surfaces," M. A. Sc. thesis (University of British Columbia, 1974) (unpublished).

E. V. Jull and G. R. Ebbeson, "The Reduction of Interference from Large Reflecting Surfaces," IEEE Trans. Ant. Prop. (in Press).

Hessel, A.

A. Hessel, J. Schmoys, and D. Y. Tseng, "Bragg-angle blazing of diffractiongratings,"J. Opt. Soc. Am. 65, 380–384 (1975).

D. Y. Tseng, A. Hessel, and A. A. Oliner, "Scattering by a Multimode Corrugated Structure with Application to P type Wood Anomalies," Alta Frequenza 38N, 82–88 (1968).

A. Hessel and H. Hochstadt, "Plane Wave Scattering From Modulated Corrugated Structures," Radio Sci. 3, 1019–1030 (1968).

Hochstadt, H.

A. Hessel and H. Hochstadt, "Plane Wave Scattering From Modulated Corrugated Structures," Radio Sci. 3, 1019–1030 (1968).

Jull, E. V.

E. V. Jull and G. R. Ebbeson, "The Reduction of Interference from Large Reflecting Surfaces," IEEE Trans. Ant. Prop. (in Press).

Neureuther, A. R.

K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TE Polarization," IEEE Trans. Ant. Prop. AP-19, 208–214 (1971).

K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TM Polarization," IEEE Trans. Ant. Prop. AP-19, 747–751 (1971).

Oliner, A. A.

D. Y. Tseng, A. Hessel, and A. A. Oliner, "Scattering by a Multimode Corrugated Structure with Application to P type Wood Anomalies," Alta Frequenza 38N, 82–88 (1968).

Schmoys, J.

Tseng, D. Y.

A. Hessel, J. Schmoys, and D. Y. Tseng, "Bragg-angle blazing of diffractiongratings,"J. Opt. Soc. Am. 65, 380–384 (1975).

D. Y. Tseng, "Equivalent Network Representation for High Efficiency Corrugated Blaze Grating," Proc. G-AP Symposium, Boulder, Colo. pp. 101–104 (1973) (unpublished).

D. Y. Tseng, A. Hessel, and A. A. Oliner, "Scattering by a Multimode Corrugated Structure with Application to P type Wood Anomalies," Alta Frequenza 38N, 82–88 (1968).

Wirgin, A.

Zaki, K. A.

K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TE Polarization," IEEE Trans. Ant. Prop. AP-19, 208–214 (1971).

K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TM Polarization," IEEE Trans. Ant. Prop. AP-19, 747–751 (1971).

Alta Frequenza

D. Y. Tseng, A. Hessel, and A. A. Oliner, "Scattering by a Multimode Corrugated Structure with Application to P type Wood Anomalies," Alta Frequenza 38N, 82–88 (1968).

IEEE Trans. Ant. Prop.

K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TE Polarization," IEEE Trans. Ant. Prop. AP-19, 208–214 (1971).

K. A. Zaki and A. R. Neureuther, "Scattering from a Perfectly Conducting Surface with a Sinusoidal Height Profile: TM Polarization," IEEE Trans. Ant. Prop. AP-19, 747–751 (1971).

J. Math. Phys.

J. A. DeSanto, "Scattering from a Periodic Corrugated Structure: Thin Comb with Soft Boundaries," J. Math. Phys. 12, 1913–1923 (1971).

J. A. DeSanto, "Scattering from a Periodic Corrugated Structure II: Thin Comb with Hard Boundaries," J. Math. Phys. 13, 336–341 (1972).

J. Opt. Soc. Am.

Radio Sci.

A. Hessel and H. Hochstadt, "Plane Wave Scattering From Modulated Corrugated Structures," Radio Sci. 3, 1019–1030 (1968).

Other

E. V. Jull and G. R. Ebbeson, "The Reduction of Interference from Large Reflecting Surfaces," IEEE Trans. Ant. Prop. (in Press).

Reference 6, Eqs. (2)–(6).

Reference2, p. 84; Ref. 3, pp. 433–437; Ref. 6, pp. 1026–1028.

Reference 6, pp. 1023–1024.

G. R. Ebbeson, "The Use of Fin-Corrugated Periodic Surfaces for the Reduction of Interference from Large Reflecting Surfaces," M. A. Sc. thesis (University of British Columbia, 1974) (unpublished).

R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960), p. 430.

D. Y. Tseng, "Equivalent Network Representation for High Efficiency Corrugated Blaze Grating," Proc. G-AP Symposium, Boulder, Colo. pp. 101–104 (1973) (unpublished).

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