Multiple Scatterings of Waves By Planar Random Distributions of Parallel Cylinde
Multiple Scatterings of Waves By Planar Random Distributions of Parallel Cylinde
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In our eReader you can find the full English version of the book. Read Multiple Scatterings of Waves By Planar Random Distributions of Parallel Cylinde 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 Multiple Scatterings of Waves By Planar Random Distributions of Parallel Cylinde
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3-9. Although (4?) is in general larger than U^U_ /(n - l)(a8 was expected physically from the 'resonance' effect involved), it may still "be ignored for a-^-n/z since ( U. + U ) ocsec a is "by far the dominant term.
Essentially the same considerations apply for the higher orders of scattering; there instead of (^7), we deal with functions of the order of [2E(kh)]^ ip/nk.
-31- Hence we may regard our closed-fom representation as valid either when there is a high degree of order in the distrilDu...tion of neighbors, or near grazing incidence for any distribution. We are thus justified in using (30) for tiie very range in which we would be inclined to use it, i. E. , the range where (30) indicates that the effect of moltiple scattering may "be large. Thus oux approximation is valid at least where U. (essentially the single-scattered wave evaluated in the plane of the axes) is very large.
. If the effects of multiple scattering as indicated "by U are small, then we may follow one of at least two alternative procedures; 1) We may use only the first two orders of scattering as obtained from (^) by iteration; here the averages involve only W.
What to read after Multiple Scatterings of Waves By Planar Random Distributions of Parallel Cylinde?
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To quickly assess the difficulty of the text, read a short excerpt:
3-9. Although (4?) is in general larger than U^U_ /(n - l)(a8 was expected physically from the 'resonance' effect involved), it may still "be ignored for a-^-n/z since ( U. + U ) ocsec a is "by far the dominant term.
Essentially the same considerations apply for the higher orders of scattering; there instead of (^7), we deal with functions of the order of [2E(kh)]^ ip/nk.
-31- Hence we may regard our closed-fom representation as valid either when there is a high degree of order in the distrilDu...tion of neighbors, or near grazing incidence for any distribution. We are thus justified in using (30) for tiie very range in which we would be inclined to use it, i. E. , the range where (30) indicates that the effect of moltiple scattering may "be large. Thus oux approximation is valid at least where U. (essentially the single-scattered wave evaluated in the plane of the axes) is very large.
. If the effects of multiple scattering as indicated "by U are small, then we may follow one of at least two alternative procedures; 1) We may use only the first two orders of scattering as obtained from (^) by iteration; here the averages involve only W.
What to read after Multiple Scatterings of Waves By Planar Random Distributions of Parallel Cylinde?
You can find similar books in the "Read Also" column, or choose other free books by Vic Twersky to read onlineMoreLess
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