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Page 16
... boundary conditions . Similarly it is plausible that specification of the electric field ( normal derivative of the ... boundary condition . We now proceed to prove these expectations by means of Green's first identity ( 1.34 ) . - We ...
... boundary conditions . Similarly it is plausible that specification of the electric field ( normal derivative of the ... boundary condition . We now proceed to prove these expectations by means of Green's first identity ( 1.34 ) . - We ...
Page 18
John David Jackson. 1.10 Formal Solution of Electrostatic Boundary - Value Problem with Green's Function The solution of Poisson's or Laplace's equation in a finite volume V with either Dirichlet or Neumann boundary conditions on the ...
John David Jackson. 1.10 Formal Solution of Electrostatic Boundary - Value Problem with Green's Function The solution of Poisson's or Laplace's equation in a finite volume V with either Dirichlet or Neumann boundary conditions on the ...
Page 19
... boundary conditions we must be more careful . The obvious choice of boundary condition on G ( x , x ' ) seems to be ƏGN Ən ' ( x , x ' ) = 0 for x ' on S since that makes the second term in the surface integral in ( 1.42 ) vanish , as ...
... boundary conditions we must be more careful . The obvious choice of boundary condition on G ( x , x ' ) seems to be ƏGN Ən ' ( x , x ' ) = 0 for x ' on S since that makes the second term in the surface integral in ( 1.42 ) vanish , as ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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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