A Plane Wave Expansion Theorem for Cylindrically Radiated Fields
A Plane Wave Expansion Theorem for Cylindrically Radiated Fields
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In our eReader you can find the full English version of the book. Read A Plane Wave Expansion Theorem for Cylindrically Radiated Fields 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 A Plane Wave Expansion Theorem for Cylindrically Radiated Fields
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In this respect again our result differs from the more usual expansion theorem, which proceeds in inverse powers of r.
h. It is convenient to bear in mind that the functions v"- ^ (O) really contain the new coordinates x and y. For example , ^, ik(x cos6 + y sinS) v(Oj = e . J I-/ -11- 5.
v(0) = e vW (0) ikx ikye ikx _ dv(p)| ^^ P=0 / vl2J(0) = ik[-x + iky^J 2t ikx d V e = — dp 3=0.
, etc.
A), Consider for example the expanGion of the function H (kr).
We have i(kr4)" nf ^(^^ - J^ ^ 1+ 0(i) r r—... > 00 Hence f(0) h 1, f (e) = - . Applying (2a) we find l(M-f) ikx e + Jiik[-x-Hky]e ^.
2_ i(^ jtkd ^ v(0) + |rj^^ (y(0) + W'-2J(o)) + Uv^^^fO)) + We shall now explain, in brief, how the expansion theorem may be employed in calciilating the diffraction of an arbitrary radiating field.
In such a calculation the function f (S) for the incident radiation will be known. The incident radiation will then be represented in the form (2a), in a coordinate system x, y fixed in the neighborhood of the scatterer.
What to read after A Plane Wave Expansion Theorem for Cylindrically Radiated Fields?
You can find similar books in the "Read Also" column, or choose other free books by Samuel Karp to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
In this respect again our result differs from the more usual expansion theorem, which proceeds in inverse powers of r.
h. It is convenient to bear in mind that the functions v"- ^ (O) really contain the new coordinates x and y. For example , ^, ik(x cos6 + y sinS) v(Oj = e . J I-/ -11- 5.
v(0) = e vW (0) ikx ikye ikx _ dv(p)| ^^ P=0 / vl2J(0) = ik[-x + iky^J 2t ikx d V e = — dp 3=0.
, etc.
A), Consider for example the expanGion of the function H (kr).
We have i(kr4)" nf ^(^^ - J^ ^ 1+ 0(i) r r—... > 00 Hence f(0) h 1, f (e) = - . Applying (2a) we find l(M-f) ikx e + Jiik[-x-Hky]e ^.
2_ i(^ jtkd ^ v(0) + |rj^^ (y(0) + W'-2J(o)) + Uv^^^fO)) + We shall now explain, in brief, how the expansion theorem may be employed in calciilating the diffraction of an arbitrary radiating field.
In such a calculation the function f (S) for the incident radiation will be known. The incident radiation will then be represented in the form (2a), in a coordinate system x, y fixed in the neighborhood of the scatterer.
What to read after A Plane Wave Expansion Theorem for Cylindrically Radiated Fields?
You can find similar books in the "Read Also" column, or choose other free books by Samuel Karp to read onlineMoreLess
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