Iv. Lindell et F. Olyslager, DECOMPOSITION OF ELECTROMAGNETIC SOURCES IN AXIALLY CHIRAL UNIAXIAL ANISOTROPIC MEDIA, Journal of electromagnetic waves and applications, 10(1), 1996, pp. 51-59
Electromagnetic sources in axially chiral uniaxially anisotropic media
are decomposed into two parts. The resulting field can also be separa
ted into two components, each with constant axial impedence (i.e. rati
o of axial electric field to axial magnetic field). It is seen that, f
or certain combinations of the electric and magnetic fields due to the
decomposed sources, the governing differential equations are reduced
from the fourth order to the second order and can be solved through af
fine transformations. The TE/TM decomposition theory, previously deriv
ed for simple isotropic and nonchiral uniaxial media, is seen to be a
special case of the present theory, corresponding to zero and infinite
axial impedances. As a consequence, it is demonstrated that the decom
posed fields with constant axial impedance see the original axially ch
iral uniaxial medium as two nonchiral uniaxial media. These two media
can be characterized as affine-isotropic because they can be transform
ed to isotropic media through certain uniaxial affine transformations.