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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 : 2 1 p2 = cos kz Ko ( kp ) dk + z2 30 ( 3.150 ) If we replace p2 in ( 3.150 ) by R2 = p2 + p22 R2 - 2pp ' cos ...
... obtained from this expansion . If we let x ' → 0 , only the m = 0 term survives , and we obtain the integral representation : 2 1 p2 = cos kz Ko ( kp ) dk + z2 30 ( 3.150 ) If we replace p2 in ( 3.150 ) by R2 = p2 + p22 R2 - 2pp ' cos ...
Page 403
... obtain the result : + m12 + m22 + m22 ( E1 + · m2 ( m2E O2 [ ( m2E , + m‚2 + m2 — m22 — m‚2 ± p cos 0 E , 2 2 - ms 2 ) 2 — m ̧2m ̧2 — p2m ̧2 sin2 0 , - ( E1 + m2 ) 2 — p2 cos2 02 π ( 12.53 ) Only the values of ( 12.53 ) greater than m ...
... obtain the result : + m12 + m22 + m22 ( E1 + · m2 ( m2E O2 [ ( m2E , + m‚2 + m2 — m22 — m‚2 ± p cos 0 E , 2 2 - ms 2 ) 2 — m ̧2m ̧2 — p2m ̧2 sin2 0 , - ( E1 + m2 ) 2 — p2 cos2 02 π ( 12.53 ) Only the values of ( 12.53 ) greater than m ...
Page 498
... obtain dI ( w ) ΦΩ 1 / 1⁄2 ω 2 - xv ( 1 ) di * ( 14.127 ) = c3 -nx vi√∞ - The integral is a Dirac delta function . Then dt dI ( w ) e2e 82 sin2 0 18 ( 1 - ẞ cos 0 ) | 2 ΦΩ ( 14.128 ) where is measured relative to the velocity v . The ...
... obtain dI ( w ) ΦΩ 1 / 1⁄2 ω 2 - xv ( 1 ) di * ( 14.127 ) = c3 -nx vi√∞ - The integral is a Dirac delta function . Then dt dI ( w ) e2e 82 sin2 0 18 ( 1 - ẞ cos 0 ) | 2 ΦΩ ( 14.128 ) where is measured relative to the velocity v . The ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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4-vector Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electrons electrostatic energy loss factor force equation 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 parallel perpendicular phase velocity plane wave plasma polarization power radiated Poynting's vector problem propagation radius region relativistic result S₁ 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