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Download MIT RadLab {complete set} Vol 13 - Propagation of Short by D. Kerr PDF

By D. Kerr

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Example text

The r’s are inserted to represent the phase changes at the reflection points. Thus b mh N sin /3 dz — (10) T; \o or as N and P are constant, This is the familiar relationship among the width of the guide, the angle of inclination of the allowed modes, and the wavelength. z I ‘r— Earth’ssurface Fm. —Theraysassociated with a single mode of propagation in an atmospheric duet. In the case of propagation of a single mode in an atmospheric duct w represented by Fig. 1 10, one can use the same arguments with slight modifications.

The Poynting vector of the radiated wave S(@,O) is directed radially outward from the antenna, and the time average of its magnitude ~(~,~) gives the rate of rncrgy flow per unit area in the direction of transmission. z Combining Eqs. (1) and (2), we have (3) where SOis the value of S in the direction of maximum transmission, corresponding to EO. Equation (3) may be used as the basis for a definition of antenna gain. We shall select as our reference antenna ~vith respect to which all gains are defined as an isotropic antmna,3 a hypothetical antenna that radiates equally in all directions and for which consequently J(8,0) = 1.

Pmin 4. (23) This equation should be compared with its analogue for one-way transmission [Eq. (17)]. If we assume for the sake of simplicity that for a given system the ratio P1/P~i. is comparable for both radar and one-way operation (not an unreasonable assumption for some purposes), Eqs. (17) and (23) show that — lh(radar) = {: / ~R,(one-way). (24) It is clear that increasing radar range by increasing system performance is considerably more expensive for radar than for one-way transmission. The jree-space coverage diqram jor radar may be employed by combining Eqs.

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