Eigenequations for a metal-coated planar chiral dielectric waveguide and a
mirror-conjugate planar chiral dielectric waveguide are derived. The eigene
quations are given in simple formulations. The results indicate that the pe
rfect conductive (or magnetic) boundary can produce mirror-conjugate of chi
ral media and the left-handed and right-handed circularly polarized modes c
ouple with each other due to the conductive boundary. The propagation chara
cteristics of a metal-coated planar waveguide with chiral core are presente
d. An interesting phenomenon is observed that the field distributions vary
with respect to the operating wavelength.