On the Electromagnetic Field Equations in the Ionosphere
On the Electromagnetic Field Equations in the Ionosphere
Herbert Bishop Keller
The book On the Electromagnetic Field Equations in the Ionosphere was written by author Herbert Bishop Keller Here you can read free online of On the Electromagnetic Field Equations in the Ionosphere book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is On the Electromagnetic Field Equations in the Ionosphere a good or bad book?
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Explicitly we introduce the new variables U(z) as in equations (2. 8) with U (2. 13) U(z) = ^, (z) ^2(0 . -"2(2); . P(z)= "JZJu) rr-1 . P'MO= Jl^v. Hz) \ 1 Uj 1 u 1 1 \ u \ 1 -y rr-l, The quantity u(z), as yet unspecified, is determined by the condition that P AP Bhall have zero off-diagonal blocks (i. E.. That the coefficient matrix in the equation -12- for U(z) "be avich. That the Tmcoupling of the system is optimal under the given condit- ions), IVom tthe matrix (2. 10) and (2, 13) we find t...hat this condition reqiiires (2. 14) u2 + [M^ + 1 = Tliis equation has two solutions u and -• » where « = (^) - 7(^)^-1 (2. 15) The equation satisfied "by Tl(z) is given "by equation (2. 9) where, with the above choice of u(z). 0-100 T ■-^"(z) [2. 16) P"-^ AP = ' ^ xliz)!*" ^^ u 1-u 10 • du ♦ Here we have introduced the notation u = t~ and dz \?(z) = a+- = P-Va 1 — u — \^(z) = a + Yu = P - Jf = 1 - -A 10 10 ;-l J Tf T "-H ^Tbyt/f^F^cby; *^ This system of equations is coupled in a sli^tly more conrplicated manner than the previous system "but still has only one coupling coefficient.
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