
222 Compact Plasma and Focused Ion Beams
taken into account by considering the superposition of a forward and a
reected wave. The forward wave eld is given by Equation 13.3a, namely,
tErE EzEzEr
fwdrfwdfwd zfwd zref cref
(, ),,qq
q
=++==
((, )exp
kz m
z
w+
−
and the counter propagating reected wave is given by
Er zt
ref rref
(, ,,)q
EEzE
ikzm
ref zref cref z
+= −−+
(, )exp ,
which can be obtained by
the same procedure in Sec. IV. Here,
E
cref cfwd
= is the complex amplitude
of the reected wave, in which the reection coefcient was estimated to be
08
05.exp
from experiments in Ref. [12]. The tota ...