A Finite Difference Frequency Domain Based Full Vectorial Transverse Modesolver for Anisotropic Waveguides with Arbitrary Permittivity and Permeability Tensors
Keywords:Anisotropic waveguides, finite difference frequency domain, full vectorial, modesolver
In this work a Yee’s mesh based full vectorial transverse finite difference frequency (FDFD) modesolver has been derived from discretized Maxwell’s equations in Matrix form for anisotropic waveguides with arbitrary permittivity and permeability tensors. This work incorporates arbitrary permittivity and permeability simultaneously into matrix equations of Yee’s mesh based modesolver, which previous works have not done. For benchmarking the Python implementation of these matrix equations, cross section of Yittrium Iron Garnate (YIG) channel waveguide has been taken as first one of the three test structures. Numerical result from this work has been compared with that from previous work on YIG channel waveguide and is found to be in good agreement. Further, for benchmarking the effective index values of waveguides having both permittivity and permeability anisotropic simultaneously, a finite element based commercial software (COMSOL) has been used, the values of effective indexes from solver presented in this work and commercial software have been compared, and are also found to be in good agreement.
Z. Zhu and T. G. Brown, “Full-vectorial finite difference analysis of microstructured optical fibers,” Optics Express, vol. 10, no. 17, pp. 853-864, August 2002.
C.-P. Yu and H.-C. Chang, “Yee’s-mesh-based finite difference eigenmode solver with PML absorbing boundary conditions for optical waveguides and photonic crystal fibers,” Optics Express, vol. 12, no. 25, pp. 6165-6177, December 2004.
M.-Y. Chen, S.-M. Hsu, and H.-C. Chang, “A finite-difference frequency domain method for full vectorial mode solutions of anisotropic optical waveguides with an arbitrary permittivity tensor,” Optics Express, vol. 17, no. 8, pp. 5965-5979, April 2009.
A. B. Fallahkhair, K. S. Li, and T. E. Murphy, “Vector finite-difference modesolver for anisotropic dielectric waveguides,” Journal of Lightwave Technology, vol. 26, no. 11, pp. 1423-1431, June 2008.
V. Singh, “A Yee’s mesh based modesolver for anisotropic waveguides,” 2016 IEEE/ACES International Conference on Wireless Information Technology and Systems (ICWITS) and Applied Computational Electromagnetics (ACES), pp. 1-2, March 2016.
Y Mao, A. Z. Elsherbeni, S. Li, and T. Jiang, “Surface impedance absorbing boundary terminating FDTD simulations,” Applied Computational Electromagnetics Society Journal, vol. 29, no. 12, pp. 1035-1046, December 2014.
G. Kim, E. Arvas, V. Demir, and A. Z. Elsherbeni, “A novel nonuniform subgridding scheme for FDTD using an optimal interpolation technique,” Progress in Electromagnetics Research, vol. 44, pp. 137-161, September 2012.