By Hristo D. Hristov
A survey of Fresnel zones in microwave/millimeter-wave electromagnetics, this paintings covers concept, layout and useful functions. It encompasses a designated description of the applying of Fresnel zones to microwave instant conversation hyperlinks in addition to an outline of the state of the art in newly created region plate lens and antenna applied sciences. It additionally comprises an summary of the fundamental electromagnetic equations for time harmonic fields, and a remedy of the Fresnel-Kirchoff diffraction concept. This source might be useful the reader to appreciate Fresnel zones, region plate units and their sensible makes use of, specifically the research and layout of microwave conversation hyperlinks, Fresnel region antennas for DBS, Fresnel area plate lenses for radio telescopes, and conformal curvilinear sector plate antennas.
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Additional info for Fresnel Zones in Wireless Links, Zone Plate Lenses and Antennas
Y , , so that rl - r, = 7-2 - rl = . . 4). The spheres divide the wave front surface S into a number of zones Z1, 22,23,. . , 2,called Fresnel zones. While the first zone is in the shape of a spherical segment, all others are spherical annuli. 1 difference r n - Y,- 1 for each couple of adjacent Fresnel zones 2,and 2,1 is A / 2 they will radiate out of phase. 5 Geometry for calculation of spherical Fresnel zone dimensions. Here 61 = Q10, r, = 02'2 and po is the radius of sphere S. 16) The second zone is of a spherical annular shape, and its area is S?
1 difference r n - Y,- 1 for each couple of adjacent Fresnel zones 2,and 2,1 is A / 2 they will radiate out of phase. 5 Geometry for calculation of spherical Fresnel zone dimensions. Here 61 = Q10, r, = 02'2 and po is the radius of sphere S. 16) The second zone is of a spherical annular shape, and its area is S? = 2n;00(Ql42). As a first approximation it can be found that S? =. S1. 16). 6. First, we will find an approximate equation for the rz-th Fresnel zone radius 6,. 6 Geometry for calculation of plane Fresnel zone dimensions.
Here 9 is the complex intrinsic impedance of the medium. 25) where G, is the directive gain of the transmitting antenna. 29) at a distance r from the source. , a direction in which the normalized antenna radiation pattern F ( S = 0, cp = 0) is equal to unity). 18) for the attenuation factor is approximated to Basic Electromagnetic Wave Equations 11 d a and 7 = = 1 2 0 7 ~ 1 6 . Here E = E , € , , 2 ,u0= 4 7 x~ 10-’ Hlm, and E , = ( 1 0 6 4 x 10-9 F/m. 31) or if the field vector character and angular dependence (6, p) for the freespace electric field are taken into account the field strength is where i is the electric field unit vector and G , ( 6 , p) is the antenna directive gain for an arbitrary direction (6,(p).