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... wave equation : V2u — 1 d2u = 0 v2 212 ( 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 : u = e eik.x - iwt ...
... wave equation : V2u — 1 d2u = 0 v2 212 ( 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 : u = e eik.x - iwt ...
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... 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 , √2y - 1 ay = 0 can be Fourier - analyzed in time as y ( x ...
... 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 , √2y - 1 ay = 0 can be Fourier - analyzed in time as y ( x ...
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... 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 ...
Contents
1 | 1 |
Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
Copyright | |
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4-vector acceleration Ampère's law angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate Chapter charge q charged particle classical coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ effects electric field electromagnetic fields electrons electrostatic energy loss energy transfer factor force equation formula frequency given Green's function impact parameter incident particle integral Kirchhoff Lorentz invariant Lorentz transformation magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum motion multipole nonrelativistic obtain oscillations P₁ parallel perpendicular plane wave plasma plasma oscillations polarization power radiated Poynting's vector problem propagation quantum quantum-mechanical radius region relativistic result scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave number wavelength ΦΩ