On Diffraction By An Infinite Grating
On Diffraction By An Infinite Grating
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In our eReader you can find the full English version of the book. Read On Diffraction By An Infinite Grating 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 On Diffraction By An Infinite Grating
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Vn / . V ^1>^/^ £ . Exp(-iky cosh P^) Z. ("^^ A^ • e:cp(-nP^) ■*■ > sinh P *— m _ n=-oo -8- where in the first stun over m, m is positive, and in the second, m is negatire.
— iait Eeintroducing the time factor e, we see that the scattered wares, infinite in n-umher, are !• siirf ace waves" propagated along the grating in both y- directions. Tne spatially damped " amplitudes " of these surface waves are I 2i e2p(-la: sinh 6 ) +op ~il50 ' H i \ • exp(n3jjj), for positive m m n=-oo \ " " kY (27) ,... j _. EacpC-kz sinh p +oo B^ = - ^ • ^^^^ 2_ . YZ (-i)\- exp(-n3^). For negative m m n=-oo .... VI I in the directions (+y) and (-y) respectively, Ihe amplitudes B and B axe equal if (28) A_^ = A^ This is certainly the case if the cross-sections of the cylinders are circular and if the cylinders are perfect conductors, Eien we have (29) A J (ka) n n H^^^(ka) n (a is the radius of the cylinder).
We should note that for |m| = r- "both the factor cos a in the denomina- ^ I ti tor of B (see (Zk)) and the factor sinh 8 in the denominator of B and B (see (27)) hecome zero, hecause in this case a = T » P = 0« This would make t If m ^ m, the amplitudes B, B, B infinite.
What to read after On Diffraction By An Infinite Grating?
You can find similar books in the "Read Also" column, or choose other free books by Fritz Reiche to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Vn / . V ^1>^/^ £ . Exp(-iky cosh P^) Z. ("^^ A^ • e:cp(-nP^) ■*■ > sinh P *— m _ n=-oo -8- where in the first stun over m, m is positive, and in the second, m is negatire.
— iait Eeintroducing the time factor e, we see that the scattered wares, infinite in n-umher, are !• siirf ace waves" propagated along the grating in both y- directions. Tne spatially damped " amplitudes " of these surface waves are I 2i e2p(-la: sinh 6 ) +op ~il50 ' H i \ • exp(n3jjj), for positive m m n=-oo \ " " kY (27) ,... j _. EacpC-kz sinh p +oo B^ = - ^ • ^^^^ 2_ . YZ (-i)\- exp(-n3^). For negative m m n=-oo .... VI I in the directions (+y) and (-y) respectively, Ihe amplitudes B and B axe equal if (28) A_^ = A^ This is certainly the case if the cross-sections of the cylinders are circular and if the cylinders are perfect conductors, Eien we have (29) A J (ka) n n H^^^(ka) n (a is the radius of the cylinder).
We should note that for |m| = r- "both the factor cos a in the denomina- ^ I ti tor of B (see (Zk)) and the factor sinh 8 in the denominator of B and B (see (27)) hecome zero, hecause in this case a = T » P = 0« This would make t If m ^ m, the amplitudes B, B, B infinite.
What to read after On Diffraction By An Infinite Grating?
You can find similar books in the "Read Also" column, or choose other free books by Fritz Reiche to read onlineMoreLess
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