Abstract

Near-field irradiance patterns have been calculated for plane-wave gaussian beams truncated by circular apertures. The Kirchhoff diffraction integral was integrated numerically, using the small-angle Fresnel approximation. The effect of truncation was important when the aperture radius was less than twice the spot size of the gaussian beam.

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  1. In this paper "irradiance" is to be understood in the sense of the square of wave amplitude. Formerly, the word "intensity" was commonly used for this sense, but confusion over such a usage has arisen. See J. Opt. Soc. Am. 57, 854 (1967).
  2. A. Yariv, Quantum Electronics (John Wiley & Sons, Inc., New York, 1967), Ch. 14.
  3. G. D. Boyd and J. P. Gordon, Bell System Tech. J. 40, 489 (1961).
  4. S. E. Miller and L. C. Tillotson, Appl. Opt. 5, 1538 (1966) and references therein.
  5. W. G. Wagner, H. A. Haus, and J. H. Marburger, Phys. Rev. 175, 256 (1968); and references therein.
  6. J. F. Kauffman, IEEE Trans. Ant. and Prop. AP-13, 473 (1965).
  7. A. L. Buck, Proc. IEEE 55, 450 (1967).
  8. A. L. Bloom, Gas Lasers (John Wiley & Sons, Inc., New York, 1968), p. 114.
  9. J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, Inc., New York, 1962), Ch. 9.
  10. S. Silver, J. Opt. Soc. Am. 52, 131 (1962).
  11. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Ltd., Oxford, 1965).
  12. P. M. Morse and H. Feshback, Methods of Theoretical Physics (McGraw–Hill Book Co., New York, 1953), Vol. I, p. 621.

Bloom, A. L.

A. L. Bloom, Gas Lasers (John Wiley & Sons, Inc., New York, 1968), p. 114.

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Ltd., Oxford, 1965).

Boyd, G. D.

G. D. Boyd and J. P. Gordon, Bell System Tech. J. 40, 489 (1961).

Buck, A. L.

A. L. Buck, Proc. IEEE 55, 450 (1967).

Gordon, J. P.

G. D. Boyd and J. P. Gordon, Bell System Tech. J. 40, 489 (1961).

Haus, H. A.

W. G. Wagner, H. A. Haus, and J. H. Marburger, Phys. Rev. 175, 256 (1968); and references therein.

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, Inc., New York, 1962), Ch. 9.

Kauffman, J. F.

J. F. Kauffman, IEEE Trans. Ant. and Prop. AP-13, 473 (1965).

Marburger, J. H.

W. G. Wagner, H. A. Haus, and J. H. Marburger, Phys. Rev. 175, 256 (1968); and references therein.

Miller, S. E.

S. E. Miller and L. C. Tillotson, Appl. Opt. 5, 1538 (1966) and references therein.

Morse, P. M.

P. M. Morse and H. Feshback, Methods of Theoretical Physics (McGraw–Hill Book Co., New York, 1953), Vol. I, p. 621.

Silver, S.

S. Silver, J. Opt. Soc. Am. 52, 131 (1962).

Tillotson, L. C.

S. E. Miller and L. C. Tillotson, Appl. Opt. 5, 1538 (1966) and references therein.

Wagner, W. G.

W. G. Wagner, H. A. Haus, and J. H. Marburger, Phys. Rev. 175, 256 (1968); and references therein.

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Ltd., Oxford, 1965).

Yariv, A.

A. Yariv, Quantum Electronics (John Wiley & Sons, Inc., New York, 1967), Ch. 14.

Other

In this paper "irradiance" is to be understood in the sense of the square of wave amplitude. Formerly, the word "intensity" was commonly used for this sense, but confusion over such a usage has arisen. See J. Opt. Soc. Am. 57, 854 (1967).

A. Yariv, Quantum Electronics (John Wiley & Sons, Inc., New York, 1967), Ch. 14.

G. D. Boyd and J. P. Gordon, Bell System Tech. J. 40, 489 (1961).

S. E. Miller and L. C. Tillotson, Appl. Opt. 5, 1538 (1966) and references therein.

W. G. Wagner, H. A. Haus, and J. H. Marburger, Phys. Rev. 175, 256 (1968); and references therein.

J. F. Kauffman, IEEE Trans. Ant. and Prop. AP-13, 473 (1965).

A. L. Buck, Proc. IEEE 55, 450 (1967).

A. L. Bloom, Gas Lasers (John Wiley & Sons, Inc., New York, 1968), p. 114.

J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, Inc., New York, 1962), Ch. 9.

S. Silver, J. Opt. Soc. Am. 52, 131 (1962).

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Ltd., Oxford, 1965).

P. M. Morse and H. Feshback, Methods of Theoretical Physics (McGraw–Hill Book Co., New York, 1953), Vol. I, p. 621.

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