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By R. C. Hansen

ISBN-10: 012323901X

ISBN-13: 9780123239013

Microwave Scanning Antennas. quantity 1: Apertures [Hardcover] [Jan 01, 1964] HANSEN, R; Equations; Charts and R. C. Hansen. the 1st in a 3 half sequence Coving All points of gaining knowledge of, construction and Maintainance of Microwave Antennas and their Peripheral apparatus

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16. 7 db degradation is probably less than can be tolerated. Of special importance is the fact that the Fresnel approximation is not valid for distances of 1D. In the study of focused apertures it will be shown that these apertures go through a transition around R = D. -< 0 40 20 10 7 FAR-FI ELO APPROXI M ATiON 4 2 I I 2 4 7 10 20 40 70 100 200 400 700 1000 RID Fig. 16. Field integral approximations for unfocused apertures. Although the far-field region is usually safely started at 2D2/A, for some ultra-low sidelobe designs, it may be insufficient.

25 Aperture Theory J(kp) with edge discontinuities, these terms are necessary to produce a Maxwellian field. The current on the back side of the dish is assumed to be zero. Excellent discussions of the Kottler edge integral formulation and of the field behavior at the edge are given by Bouwkamp (1954) and Heins and Silver (1955), respectively. The restricted vector operators in Eq. (57) are expanded to The unit vector a r is from Q to P. Now a r can be expressed in spherical coordinates as a r = a{ (~) - (;) sin8cos(¢ - ~)] - a{;) cos 8 cos(¢ - ~) + a,{;) sin(¢ - (3) (59) The linear current J = ax{j(kp) is then expanded into spherical coordinates, and combined with Eq.

Tapered (1 - p2) circular aperture: R = 1rD2/8A 1. Uniform line source or square aperture: G. FOCUSED APERTURES In that portion of the radiating near-field region from a few D to 2D2lA, the effects of the quadratic phase can be corrected by focusing, just as it Table I DEPTH OF FIELD Focused at 00 2D'/"h D'/"h D'/2"h D'/4"h Depth of field D'/"h to 00 2D'/3"h to 00 D'/2"h to 00 D'/3"h to D'/"h D'/5"h to D'/3"h can be in optics. From the section on Fresnel analysis of a circular aperture, the phase approximation, Eq.

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