Classical ElectrodynamicsProblems after each chapter |
From inside the book
Results 1-3 of 45
Page 19
... vanishes and the - solution is 1 ƏGD Q ( x ) = p ( x ' ) G ; · √2 p ( x ' ) Gp ( x , x ' ) d3x ' - 4πT JS 17 $ 0 ( x ) da ' ( 1.44 ) an ' For Neumann boundary conditions we must be more careful . The obvious choice of boundary ...
... vanishes and the - solution is 1 ƏGD Q ( x ) = p ( x ' ) G ; · √2 p ( x ' ) Gp ( x , x ' ) d3x ' - 4πT JS 17 $ 0 ( x ) da ' ( 1.44 ) an ' For Neumann boundary conditions we must be more careful . The obvious choice of boundary ...
Page 282
... vanishes inversely as the hemisphere radius as that radius goes to infinity . Then we obtain the Kirchhoff integral for y ( x ) in region II : y ( x ) = - 1 4. n . [ V'y + ik ( 1 + 2 ) Ryda ' eikR 4πT S1 R iR kR / R ( 9.65 ) where n is ...
... vanishes inversely as the hemisphere radius as that radius goes to infinity . Then we obtain the Kirchhoff integral for y ( x ) in region II : y ( x ) = - 1 4. n . [ V'y + ik ( 1 + 2 ) Ryda ' eikR 4πT S1 R iR kR / R ( 9.65 ) where n is ...
Page 284
... vanishes identically . To do this we make use of the following easily proved identities connecting surface integrals over a closed surface S to volume integrals over the interior of S : § A · n da = f . ▽ • A d ° z S A V. f2 ( n x A ) ...
... vanishes identically . To do this we make use of the following easily proved identities connecting surface integrals over a closed surface S to volume integrals over the interior of S : § A · n da = f . ▽ • A d ° z S A V. f2 ( n x A ) ...
Other editions - View all
Common terms and phrases
4-vector Ampère's law angle angular distribution approximation atomic axis boundary conditions calculate Chapter charge density charge q charged particle coefficients collisions component conductor consider coordinates cross section current density cylinder d³x delta function dielectric constant diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss expansion expression factor frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic moment magnitude Maxwell's equations meson modes molecules momentum motion multipole nonrelativistic normal obtain oscillations P₁ parallel plasma point charge Poisson's equation polarization problem radiation radius region relativistic result scalar scalar potential scattering shown in Fig shows solution spherical surface surface-charge density theorem transverse unit V₁ vanishes vector potential velocity volume wave equation wave number wavelength written zero ΦΩ