Radio Propagation Past a Pair of Dielectric Interfaces
Radio Propagation Past a Pair of Dielectric Interfaces
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In our eReader you can find the full English version of the book. Read Radio Propagation Past a Pair of Dielectric Interfaces Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Radio Propagation Past a Pair of Dielectric Interfaces
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„_ ic ox (H) (-Tt^*^' ♦£i-4)'i = 0, 'lE^ T — 2 y > y - 0, X - 5 - We seek a solution of the form (12) u(x, y) = u. (x, y) + u (x, y) and add the condition that u (x, y) and its first derivatives be bounded and continuous in any finite nei ::hborhood of the origin. In Section 3 this condition will be shown to be sufficient to guarantee that the origin behaves neither as a source nor a sink. The solution of this problem will occupy our attention for the balance of the report. 2. Solution Introdu...ce the complex v-plane 19 V » p e in which we define the radical (1) R(v) = v4^-v^ as follows: Assume k to have a vanishingly small ima?;inary part e |k| ie ind draw the branch cuts from ♦k and -k to infinity along the rays • = e and 9 = n + e respectively (cf. Figure 3)» If we choose v-k-pe, -2n+e^^^^ ^ ^ (v -k cos e^) Z'(v) dv -lU - where we recall the definitions (2) r- ^^'-P') 2ni P*(k cos e^) (3) a = z'(k cos 9) - sin e + A* - b' cos^ 9 5 2 ' 2 It is convenient to make the transformations (5) V » k cos ^ and (6) X = p cos 9 y «= p sin © so that (l) becomes P^kcog0) e^^P^°^ ^'^-^^ sin^d) (7) u (p, 9) = -Y ^ y^ (cos - cos e^) z'(k cos 0) where the contour C is taken as shown in Figure 5.
What to read after Radio Propagation Past a Pair of Dielectric Interfaces?
You can find similar books in the "Read Also" column, or choose other free books by Julian Kane to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
„_ ic ox (H) (-Tt^*^' ♦£i-4)'i = 0, 'lE^ T — 2 y > y - 0, X - 5 - We seek a solution of the form (12) u(x, y) = u. (x, y) + u (x, y) and add the condition that u (x, y) and its first derivatives be bounded and continuous in any finite nei ::hborhood of the origin. In Section 3 this condition will be shown to be sufficient to guarantee that the origin behaves neither as a source nor a sink. The solution of this problem will occupy our attention for the balance of the report. 2. Solution Introdu...ce the complex v-plane 19 V » p e in which we define the radical (1) R(v) = v4^-v^ as follows: Assume k to have a vanishingly small ima?;inary part e |k| ie ind draw the branch cuts from ♦k and -k to infinity along the rays • = e and 9 = n + e respectively (cf. Figure 3)» If we choose v-k-pe, -2n+e^^^^ ^ ^ (v -k cos e^) Z'(v) dv -lU - where we recall the definitions (2) r- ^^'-P') 2ni P*(k cos e^) (3) a = z'(k cos 9) - sin e + A* - b' cos^ 9 5 2 ' 2 It is convenient to make the transformations (5) V » k cos ^ and (6) X = p cos 9 y «= p sin © so that (l) becomes P^kcog0) e^^P^°^ ^'^-^^ sin^d) (7) u (p, 9) = -Y ^ y^ (cos - cos e^) z'(k cos 0) where the contour C is taken as shown in Figure 5.
What to read after Radio Propagation Past a Pair of Dielectric Interfaces?
You can find similar books in the "Read Also" column, or choose other free books by Julian Kane to read onlineMoreLess
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