Diffraction of Pulses By Conducting Wedges And Cones

Cover Diffraction of Pulses By Conducting Wedges And Cones
Diffraction of Pulses By Conducting Wedges And Cones
W Sollfrey
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X2 ) whence I is evaluated as: C^O) I ={^^"^1^1 /^] sine p;^(-coBp) cob3 = ct/r .
Consequently, the result for u(r, e, t) In the "geometrical" region is: (^l) u(r. E, t) = T"BlnPP"^^-rosP)P (-conO)/H coeP = ct/r ) exp - |lmu| (© - 2n*-&), where A(i>) denotes an algebraic function of v. This exj-ression will be ex; onentip. Lly snail if © Is grerter than 2a^p, Now the equation of the slanting lines of Fif-'j. Re 2 Is r = ct cos(2a-^), whence on the slanting lines 6 = 2ot-P. Consequently, in the
...region to the left of the slanting lines, the quarter-circles give no contrlbiitli n, "here- fore the integral in (^7) vanishes, and u(r, 6, t) = 1, We have thus verified that in the "geometrical" reflon whe-zp ••. ■ iff- raction nor reflection plays a role, the solution Ti(r, 0, t) f'lven by v- the '^aoxetrical propagation laws, and is in fact the snm^' cb for the wp. -, -e Mil'ition of -ection 2. We have not been able to find fi metbod of ouiranliv the serii^s (^1) between --'. ° reflected pulse and the cone.

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