Abstract:
The diffraction field of continuous, rectangular apertures is analyzed when the system is focused in the Fresnel region. The Fresnel region is defined by phase and amplit...Show MoreMetadata
Abstract:
The diffraction field of continuous, rectangular apertures is analyzed when the system is focused in the Fresnel region. The Fresnel region is defined by phase and amplitude considerations, and the boundary separating the near and Fresnel regions is given as well as the conventional boundary distinguishing between the Fresnel region and far field. Curves have been plotted for several square apertures of varying size for both uniform amplitude illumination and tapered illumination while the focused condition is maintained. A theorem is given proving that the far-field pattern occurs in the focal plane of a continuous, focused aperture. Also included is the expression for gain of a focused rectangular antenna, and a discussion of the concept of gain where strict1/R^{2}dependence does not exist. A comparison of focused circular and rectangular apertures is made in regard to beamwidth, energy between 3-db points, and energy in the main beam. Consideration is also given to the problem of maximizing the field at the point of focus, and as a corollary the "depth of focus" is examined.
Published in: IRE Transactions on Antennas and Propagation ( Volume: 10, Issue: 4, July 1962)
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1.
S. Silver, Microwave Theory and Design, N. Y., New York:McGraw-Hill Boob Co., Inc., vol. 12, pp. 170, 1949.
2.
R. C. Hansen, "Fraunhofer and Fresnel", The Microwave Journal, pp. 13-16, April 1962.
3.
A. F. Kay, "Near-field gain of aperture antennas", IRE Trans. on Antennas and Propagation, vol. AP-8, pp. 586-593, November 1960.
4.
R. S. Wehner, Limitations of Focused Aperture Antennas, October 1949.
5.
Several sets of tables have been tabulated and are listed in order of completeness (the most complete first).
6.
"Tables of Fresnel Integrals" in Akademii Nauk SSSR, USSR, Moscow, 1953.
7.
T. Pearcey, Table of the Fresnel Integral, Eng., London:Cambridge University Press, 1956.
8.
D. L. Arenberg and D. Levin, Table of Fresnel Integrals, Mass., Boston:Naval Res. Field Station, 1948.
9.
S. A. Schelkunoff, "Electromagnetic Waves" in Bell Telephone Lab., N. Y., New York:D. Van Nostrand, Inc., pp. 366, 1934.
10.
C. Polk, "Optical Fresnel-zone gain of a rectangular aperture", IRE Trans. on Antennas and Propogation, vol. AP-4, pp. 65-69, January 1956.
11.
S. A. Schelkunoff, Applied Mathematics for Engineers and Scientists, N. Y., New York:D. Van Nostrand Co., pp. 386, 1948.
12.
A. Gray, A. B. Mathews and T. M. MacRobert, A Treatise on Bessel Functions, Eng., London:Macmillan and Co., Ltd., pp. 219, 1952.
13.
R. F. Harrington, A. T. Villeneuve and M. K. Hu, Antenna Research, pp. 74, March 1959.
14.
Wehner, Limitations of Focused Aperture Antennas, pp. 6, October 1949.
15.
M. Born and E. Wolf, Principles of Optics, N. Y., New York:Pergamon Press, pp. 397, 1959.
16.
W. W. Gerbes, Tables of S(x) and its First Eleven Derivatives, February 1958.
17.
R. J. Spellmire, Tables of Taylor Aperture Distributions, October 1958.
18.
Silver, Microwave Theory and Design, N. Y., New York:McGraw-Hill Boob Co., Inc., vol. 12, pp. 177, 1949.
19.
Silver, Microwave Theory and Design, N. Y., New York:McGraw-Hill Boob Co., Inc., vol. 12, pp. 2, 1949.
20.
Polk, "Optical Fresnel-zone gain of a rectangular aperture", IRE Trans. on Antennas and Propogation, vol. AP-4, pp. 66, January 1956.
21.
Silver, Microwave Theory and Design, N. Y., New York:McGraw-Hill Boob Co., Inc., vol. 12, pp. 196, 1949.