https://doi.org/10.1140/epjb/e2005-00380-3
Omnidirectional reflection from the one-dimensional photonic crystal containing anisotropic left-handed material
1
Department of Physics, Suzhou University, Suzhou 215006, P.R. China
2
CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China
Corresponding author: a lgaophys@pub.sz.jsinfo.net
Received:
27
June
2005
Revised:
5
August
2005
Published online:
9
December
2005
We study the transmission properties in the one-dimensional
photonic crystal containing alternate anisotropic left-handed
material (LHM) layers and regular isotropic right-handed material
(RHM) layers. For such an anisotropic case, the dispersion
relation from the Bloch theorem is derived and the Bragg gaps of
the periodic structure are observed. It is found that in the m=0
Bragg gap, there is an omnidirectionally reflectional (ODR)
region, which is also invariant with a change of scale length,
similar with the gap in isotropic one-dimensional
photonic crystal. With the aid of effective medium theory (EMT),
the analytic expressions of all six elements of the effective
electric permittivity tensor and magnetic permeability tensor are
obtained. By using these results, we investigate the ODR region in
the m=0 Bragg gap in all the possible cases of both TE and TM
modes. We find that with different choices of parameters, the
m=0 Bragg gap has different transmission properties, and the ODR
region in it changes, consequently. The edges of the ODR region
are given out in these cases. To one's interest, these results
predict a complete reflection region in the m=0 Bragg gap, which
is able to omnidirectionally reflect waves in both TE and TM modes.
PACS: 02.30.Mv – Approximations and expansions / 42.25.-p – Wave optics / 42.70.Qs – Photonic bandgap materials / 78.20.Ci – Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005