Classical Electrodynamics |
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Page 203
... wave equation : V2u - 1 22u v2 at2 - 0 ( 7.2 ) where с v = με ( 7.3 ) is a constant of the dimensions of velocity characteristic of the medium . The wave equation ( 7.2 ) has the well - known plane - wave solutions : ik.x - iat u = e ...
... wave equation : V2u - 1 22u v2 at2 - 0 ( 7.2 ) where с v = με ( 7.3 ) is a constant of the dimensions of velocity characteristic of the medium . The wave equation ( 7.2 ) has the well - known plane - wave solutions : ik.x - iat u = e ...
Page 538
... Wave Equation As a prelude to the vector spherical wave problem , we consider the scalar wave equation . A scalar field y ( x , t ) satisfying the source - free wave equation , V24 - 1024 = 0 c2 at2 can be Fourier - analyzed in time as ...
... Wave Equation As a prelude to the vector spherical wave problem , we consider the scalar wave equation . A scalar field y ( x , t ) satisfying the source - free wave equation , V24 - 1024 = 0 c2 at2 can be Fourier - analyzed in time as ...
Page 631
... wave equation , 183 retarded , 185 , 269 Green's function for wave equation , spherical wave expansion of , 541 Green's function in electrostatics , 18 examples of use of , 82 , 83 expansion of , in Bessel functions , 84 , 96 expansion ...
... wave equation , 183 retarded , 185 , 269 Green's function for wave equation , spherical wave expansion of , 541 Green's function in electrostatics , 18 examples of use of , 82 , 83 expansion of , in Bessel functions , 84 , 96 expansion ...
Common terms and phrases
4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis 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 dielectric constant diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss 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 phase velocity plane wave plasma polarization power radiated problem propagation radius region relativistic result scalar scattering screen shown in Fig shows sin² solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ