Results 1-3 of 77
The fields for the A mode propagating in the positive z direction are written Ei+)(x,
y, z)=[Ex(x, y)+Ert(x, y)]e^' Hi+)(x, y, z) = [H>(x, y)+rUx, y)]e"^ where E*, H* are the
transverse fields given by (8.31) and (8.33) and ElA, HlA are the longitudinal
fields. The wave number kK is given by (8.37) and is taken to be real and positive
for propagating modes in lossless guides. A time dependence e_1°" is, of course,
understood. For a wave propagating in the negative z direction the fields are ...
9.12 A diffraction screen S„ and its complementary diffraction screen Sk. If there
are sources inside S (in region I) which give rise to a field ^i(x), then in the
absence of either screen the field i/»(x) in region II is given by the Kirchhoff
integral (9.125) where the surface integral is over the entire surface S. With the
screen S„ in position, the field tMx) in region II is given in the Kirchhoff
approximation by (9.125) with the source field t/» in the integrand and the surface
integral only over Sb (the ...
Detailed calculations show that the damping can be expressed in terms of an
imaginary part of the frequency given by provided k«kD. To obtain (10.93) a
Maxwellian distribution of velocities was assumed. For kskD the damping
constant is larger than given by (10.93) and rapidly becomes much larger than
the real part of the frequency, as given by (10.83). The Landau formula (10.93)
shows that for k«kD the longitudinal plasma oscillations are virtually undamped.
But the damping ...
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Introduction and Survey
Introduction to Electrostatics
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