Diffraction of Pulses By a Circular Cylinder
Diffraction of Pulses By a Circular Cylinder
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0. 118x2/3) (|1 . E)J. I. 295x-^/\^ - «) -27- Near e = n these two terms are of comparable amplitudes, and as |0 - n| increases IpI has maxima and minima approximately- ^ X apart j but as |© - n| increases fur- ther, one of the terras dominates the other one and |p| increases exponentially. When X is small enough, one may define an effective shadow boundary as the value of e - ^ or as -w- - e at which |p| equals a given small number e, and assxirae that only one of the terms in (9»5) needs to b...e taken into accoxmt. The distance of this effective shadow boundary from the geometric shadow boundary is (Q A\ Q " - >■ 1 1. 837 (9. 6; e - ?;■ = r^o^ log — ;^- . V3 that is to say this angle varies as the cube root of the wavelength.
-28- Appendlx A Bessel Functions of Iinaginary Order and Argument I, In this appendix, an outline of the derivation of the approximations quoted in Section 3 will be given. The results are applied to Laplace transforms, which sire necessarily regular in sone half -plane Re(s) > c > Oj hence it is suf- ficient to take s to be real and positive* The differential eqioation satisfied by K.
What to read after Diffraction of Pulses By a Circular Cylinder?
You can find similar books in the "Read Also" column, or choose other free books by F G Friedlander to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
0. 118x2/3) (|1 . E)J. I. 295x-^/\^ - «) -27- Near e = n these two terms are of comparable amplitudes, and as |0 - n| increases IpI has maxima and minima approximately- ^ X apart j but as |© - n| increases fur- ther, one of the terras dominates the other one and |p| increases exponentially. When X is small enough, one may define an effective shadow boundary as the value of e - ^ or as -w- - e at which |p| equals a given small number e, and assxirae that only one of the terms in (9»5) needs to b...e taken into accoxmt. The distance of this effective shadow boundary from the geometric shadow boundary is (Q A\ Q " - >■ 1 1. 837 (9. 6; e - ?;■ = r^o^ log — ;^- . V3 that is to say this angle varies as the cube root of the wavelength.
-28- Appendlx A Bessel Functions of Iinaginary Order and Argument I, In this appendix, an outline of the derivation of the approximations quoted in Section 3 will be given. The results are applied to Laplace transforms, which sire necessarily regular in sone half -plane Re(s) > c > Oj hence it is suf- ficient to take s to be real and positive* The differential eqioation satisfied by K.
What to read after Diffraction of Pulses By a Circular Cylinder?
You can find similar books in the "Read Also" column, or choose other free books by F G Friedlander to read onlineMoreLess
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