(a) Show that Maxwell's equations, with no current densities and no external charge, have a longitudinal solution where .

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1. Suppose the dielectric constant of a dielectric
medium is
Ke = 0.
. (a) Show that Maxwell's equations, with no
current densities and no external charge, have a
longitudinal solution where
H = 0
and
kxE #0
"
but
K.E=0.
. (b) Show that a polarization charge density
Pp = ikco E.
exists. [ The equation
1 Ke(k, w) = 0
is called the longitudinal dispersion relation].
Transcribed Image Text:1. Suppose the dielectric constant of a dielectric medium is Ke = 0. . (a) Show that Maxwell's equations, with no current densities and no external charge, have a longitudinal solution where H = 0 and kxE #0 " but K.E=0. . (b) Show that a polarization charge density Pp = ikco E. exists. [ The equation 1 Ke(k, w) = 0 is called the longitudinal dispersion relation].
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