Classical ElectrodynamicsProblems after each chapter |
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Page 86
... obtained from this expansion . If we let x ' → 0 , only the m = 0 term survives , and we obtain the integral representation : 1 2 = 2 + z2 TT0 ∞ cos kz Ko ( kp ) dk ( 3.150 ) If we replace p2 in ( 3.150 ) by R2 = p2 + p'2 - 2pp ' cos ...
... obtained from this expansion . If we let x ' → 0 , only the m = 0 term survives , and we obtain the integral representation : 1 2 = 2 + z2 TT0 ∞ cos kz Ko ( kp ) dk ( 3.150 ) If we replace p2 in ( 3.150 ) by R2 = p2 + p'2 - 2pp ' cos ...
Page 96
... Obtain the following expansion : 1 - = 00 Σ . S m == dk eim ( -Jm ( kp ) Jm ( kp ́ ) e − k ( z > -2 < ) ( c ) By appropriate limiting procedures prove the following expansions : Jo ( kVp + p2 - 1 = ∞ e - kiz1Jo ( kp ) dk 0 ∞ 2pp ...
... Obtain the following expansion : 1 - = 00 Σ . S m == dk eim ( -Jm ( kp ) Jm ( kp ́ ) e − k ( z > -2 < ) ( c ) By appropriate limiting procedures prove the following expansions : Jo ( kVp + p2 - 1 = ∞ e - kiz1Jo ( kp ) dk 0 ∞ 2pp ...
Page 402
... obtain E , we merely interchange m , and m1 and change 0 ' into 70 ' ( cos 0 ' -4 cos 0 ' ) . The relation between angles 0 ' and 0 , can be obtained from the expres- sion q ' sin o ' P311 YCм ( q ' cos 0 ' + VCMЕ3 ) tan 03 P31 = = tan ...
... obtain E , we merely interchange m , and m1 and change 0 ' into 70 ' ( cos 0 ' -4 cos 0 ' ) . The relation between angles 0 ' and 0 , can be obtained from the expres- sion q ' sin o ' P311 YCм ( q ' cos 0 ' + VCMЕ3 ) tan 03 P31 = = tan ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
Copyright | |
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4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charge q charged particle coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss energy transfer factor force equation frame frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain oscillations P₁ P₂ parallel perpendicular plasma polarization power radiated problem radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ