Coupled Mode Analysis of Two-Dimensional Chiral Grating
Keywords:
Coupled Mode Analysis of Two-Dimensional Chiral GratingAbstract
This paper introduces a modal analysis for two-dimensional chiral grating. The grating structure is composed of rectangular chiral rods arranged in rectangular periodic cells and embedded in another chiral base material. Total fields are presented in terms of transverse electric and magnetic field components which are expanded as two sets of TE and TM Floquet modes. This representation is used in Maxwell’s curl equations to formulate the problem as an eigenvalue problem. The resulting eigenvalues correspond to the forward and backward propagation coefficients. On the other hand, the eigenvectors correspond to the amplitudes of the TE and TM Floquet modes in the forward and backward propagating modes. Reflection and transmission coefficients of two semi-infinite chiral gratings are obtained by combining this modal analysis and mode matching method. This analysis is extended to obtain the reflection and transmission coefficients of a finite thickness twodimensional chiral grating slab by using the generalized scattering matrix method.
Downloads
References
V. R. Tuz and C.W. Qiu, “Semi-Infinite Chiral Nihility
Photonics: Parametric Dependence, Wave Tunneling and
Rejection,” Progress In Electromagnetics Research, vol. PIER
, pp. 139-152, 2010.
D. L. Jaggard, N. Engheta, M. W. Kowarz, P.
Pelet, J. C. Liu, and Y. Kim, “Periodic Chiral
Structures,” IEEE Trans. Antennas Propagat.,
vol. AP-37, pp. 1447–1452, 1989.
L. G. Zheng and W. X. Zhang, “Analysis of
Bi-Anisotropic PBG Structure using Plane
Wave Expansion Method,” Progress In
Electromagnetics Research, vol. PIER 42, pp.
–246, 2003.
T. X. Wu and D. L. Jaggard, “Scattering of
Chiral Periodic Structure,” IEEE Trans.
Antennas Propagat., vol. AP-52, pp. 1859-
, 2004.
A. M. Attiya and A. A. Kishk, “Modal
Analysis of a Two-Dimensional Dielectric
Grating Slab Excited by an Obliquely Incident
Plane Wave,” Progress In Electromagnetics
Research, vol. PIER 60, pp. 221–243, 2006.
A. M . Attiya, A. A. Kishk, and A. W.
Glisson, “Analysis of Two-Dimensional
Magneto-Dielectric Grating Slab,” Progress In
Electromagnetics Research, vol. PIER 74,
pp.195–216, 2007.
A. Lakhtakia, “On a Fourth-Order Wave
Equation for EM Propagation in Chiral
Media,” Appl. Phys. B, vol. 36, pp.163-165,
A. Gomez, I. Barba, A. C. L. Cabeceira, J.
Represa, A. Vegas, and M. A. Solano,
“Electromagnetic Propagation in Unbounded
Inhomogeneous Chiral Media using the
Coupled Mode Method,” Microwave
Opt.Technol. Lett. vol. 49, pp. 2771-2779,
A. Gomez, A. Vegas, and M. A. Solano, “On
Two Different Formulations of the Coupled
Mode Method: Application to 3D Rectangular
Chirowaveguides,” Int. J. Electron. Commun.
vol. (AEU) 60, pp. 690–704, 2006.
A. Gomez, A. Lakhtakia, A. Vegas, and M. A.
Solano, “Hybrid Technique for Analysing
Metallic Waveguides Containing Isotropic
Chiral Materials,” IET Microw. Antennas
Propag., vol. 4, pp. 305–315, 2010.
T. X. Wu and D. L. Jaggard, “A
Comprehensive Study of Discontinuities in
Chirowaveguides,” IEEE Trans. Microw.
Theory Tech., vol. MTT-50, pp. 2320–2330,
J. Pitarch, J. M. Catal-Civera, F. L. Pen
Aranada-Foix, and M. A. Solano, “Efficient
Modal Analysis of Bianisotropic Waveguides
by the Coupled Mode Method,” IEEE Trans.
Microwave Theory Tech., vol. MTT-55, pp.
–116, 2007.
A. Gomez , A. Lahktakia, and J. Magineda
“Full-Wave Hybrid Technique for 3D
Isotropic-Chiral-Material Discontinuities in
Rectangular Waveguides: Theory and
Experiment,” IEEE Trans. Microwave Theory
Tech., vol. MTT-56, pp. 2815–2825, 2008.
S. T. Imeci, F. Altunkilic, J. R. Mautz, and E.
Arvas, “Transmission Through an Arbitrarily
Shaped Aperture in a Conducting Plane
Separating Air and a Chiral Medium,” Applied
Computational Electromagnetic Society
(ACES) Journal, vol.25, pp. 587–599, July
M. A. Solano, A. Vegas, and A. Prieto,
“Numerical Analysis of Discontinuities in a
Rectangular Waveguide Loaded with Isotropic
or Anisotropic Obstacles by Means of the
Coupled-Mode Method and the Mode-
Matching Method,” Int. J. Numer. Model.: Electron. Netw. Dev. Fields, vol. 7, pp. 433–
, 1994.
