Low Frequency Propagation in An Exponential Ionospheric Layer

Cover Low Frequency Propagation in An Exponential Ionospheric Layer
Low Frequency Propagation in An Exponential Ionospheric Layer
J Shmoys
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An example of such a discrepancy is discussed in the Appendix, 3. 2 Limiting Polarization Since we are interested only in the asymptotic properties of wave func- tions well below the reflecting regions of the ionosphere, we need to consider only the ILmiting polarization (as X -> 0) of the characteristic waves used here. From equation (Ik) it is evident that 5 is large when X = 0, Hence u is given approximately by -i 1+iZ (16) 26 -2iZ c Since |u| « 1, vre are dealing here with two approximately... linearly polariz:?;i waves, 3, 3 Dielectric Constants We shall now investigate the dielectric constants, 6_^, in equation (10), These are given by the Apple to n-Har tree formula - o - (19) e^ =1 2—1 " u U ~Vr 2(X-l-iZ) - 2 L(X-l-iZ)^ + Ul cos & In the IcA^rer region (Hericn I of Heading and I\'hipple), where X ^^ 1 and therefore X « I, is^ obtain the foilovrinp; approximations: (i) For the ordinar7 ( + ) ray we can neglect the hY cos term under the radical. The (1+iZ) term is negligible compared to Z ) .

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