Abstract

A mixed or impedance-type boundary condition is examined as a description of a black or perfectly absorbing obstacle. The problems of diffraction by a cylinder and semi-infinite screen with this boundary condition are considered, and the results are compared with those obtained for other boundary conditions.

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  1. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 553.
  2. B. Baker and E. T. Copson, Mathematical Theory of Huygens' Principle (Oxford University Press, New York, 1953), p. 152.
  3. J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), p. 487.
  4. B. R. Levy and J. B. Keller, Comm. Pure Appl. Math 12, 159 (1959).
  5. W. Franz, Z. Naturforsch. 9a, 705 (1954).
  6. P. Beckmann and W. Franz, Z. Naturforsch. 12a, 257 (1957).
  7. G. N. Watson, Bessel Functions (Cambridge University Press, New York, 1958), p. 235.
  8. A. Erdelyi, Asymptotic Expansions (Dover Publications, Inc., New York, 1956), p. 51.
  9. W. Streifer and R. D. Kodis, Quart. Appl. Math. (to be published).
  10. J. C. P. Miller, "Airy Integral", British Association for the Advancement of Science, Math. Tables, Part-Vol. B. 1946).
  11. W. Schobe, Acta Math. 92, 265 (1954).
  12. T. B. A. Senior, Proc. Roy. Soc. London A213, 436 (1952).
  13. B. Karczewski and E. Wolf, "Comparison of Three Theories of Electromagnetic Diffraction at an Aperture" (Presented at the Symposium on Electromagnetic Theory and Antennas, Copenhagen, June 1962; Proceedings to be published by Pergamon Press, Inc., Oxford).
  14. P. Kottler, Ann. Physik. Leipzig 70, 405 (1923); 71, 458 (1923).

Baker, B.

B. Baker and E. T. Copson, Mathematical Theory of Huygens' Principle (Oxford University Press, New York, 1953), p. 152.

Beckmann, P.

P. Beckmann and W. Franz, Z. Naturforsch. 12a, 257 (1957).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 553.

Copson, E. T.

B. Baker and E. T. Copson, Mathematical Theory of Huygens' Principle (Oxford University Press, New York, 1953), p. 152.

Erdelyi, A.

A. Erdelyi, Asymptotic Expansions (Dover Publications, Inc., New York, 1956), p. 51.

Franz, W.

P. Beckmann and W. Franz, Z. Naturforsch. 12a, 257 (1957).

W. Franz, Z. Naturforsch. 9a, 705 (1954).

Karczewski, B.

B. Karczewski and E. Wolf, "Comparison of Three Theories of Electromagnetic Diffraction at an Aperture" (Presented at the Symposium on Electromagnetic Theory and Antennas, Copenhagen, June 1962; Proceedings to be published by Pergamon Press, Inc., Oxford).

Keller, J. B.

B. R. Levy and J. B. Keller, Comm. Pure Appl. Math 12, 159 (1959).

Kodis, R. D.

W. Streifer and R. D. Kodis, Quart. Appl. Math. (to be published).

Kottler, P.

P. Kottler, Ann. Physik. Leipzig 70, 405 (1923); 71, 458 (1923).

Levy, B. R.

B. R. Levy and J. B. Keller, Comm. Pure Appl. Math 12, 159 (1959).

Miller, J. C. P.

J. C. P. Miller, "Airy Integral", British Association for the Advancement of Science, Math. Tables, Part-Vol. B. 1946).

Schobe, W.

W. Schobe, Acta Math. 92, 265 (1954).

Senior, T. B. A.

T. B. A. Senior, Proc. Roy. Soc. London A213, 436 (1952).

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), p. 487.

Streifer, W.

W. Streifer and R. D. Kodis, Quart. Appl. Math. (to be published).

Watson, G. N.

G. N. Watson, Bessel Functions (Cambridge University Press, New York, 1958), p. 235.

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 553.

B. Karczewski and E. Wolf, "Comparison of Three Theories of Electromagnetic Diffraction at an Aperture" (Presented at the Symposium on Electromagnetic Theory and Antennas, Copenhagen, June 1962; Proceedings to be published by Pergamon Press, Inc., Oxford).

Other (14)

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 553.

B. Baker and E. T. Copson, Mathematical Theory of Huygens' Principle (Oxford University Press, New York, 1953), p. 152.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), p. 487.

B. R. Levy and J. B. Keller, Comm. Pure Appl. Math 12, 159 (1959).

W. Franz, Z. Naturforsch. 9a, 705 (1954).

P. Beckmann and W. Franz, Z. Naturforsch. 12a, 257 (1957).

G. N. Watson, Bessel Functions (Cambridge University Press, New York, 1958), p. 235.

A. Erdelyi, Asymptotic Expansions (Dover Publications, Inc., New York, 1956), p. 51.

W. Streifer and R. D. Kodis, Quart. Appl. Math. (to be published).

J. C. P. Miller, "Airy Integral", British Association for the Advancement of Science, Math. Tables, Part-Vol. B. 1946).

W. Schobe, Acta Math. 92, 265 (1954).

T. B. A. Senior, Proc. Roy. Soc. London A213, 436 (1952).

B. Karczewski and E. Wolf, "Comparison of Three Theories of Electromagnetic Diffraction at an Aperture" (Presented at the Symposium on Electromagnetic Theory and Antennas, Copenhagen, June 1962; Proceedings to be published by Pergamon Press, Inc., Oxford).

P. Kottler, Ann. Physik. Leipzig 70, 405 (1923); 71, 458 (1923).

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