Jinjie Liu , Moysey Brio , Jerome V. Moloney . A DIAGONAL SPLIT-CELL MODEL FOR THE OVERLAPPING YEE FDTD METHOD[J]. Acta mathematica scientia, Series B, 2009 , 29(6) : 1670 -1676 . DOI: 10.1016/S0252-9602(10)60009-4

[1]  Yee K S. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans Antennas Propag, 1966, 14: 302--307

[2] Taflove A,  Brodwin M E. Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations. IEEE Trans Microwave Theory Tech, 1975, 23: 623--630

[3] Taflove A. Application of the finite-difference time-domain method to sinusoidal steady-state electromagnetic penetration problems. IEEE Trans Electromagn Compat, 1980, 22: 191--202

[4]  Jurgens T G, Taflove A,  Umashankar K R,  Moore T G. Finite-difference time-domain modeling of curved surfaces. IEEE Trans Antennas Propag, 1992, 40:  357--366

[5]  Dey S,  Mittra R.  A locally conformal finite-difference time-domain algorithm for modeling three-dimensional perfectly conducting object. IEEE Microwave Guid Wave Lett, 1997, 7:  73--275

[6]  Dey S,  Mittra R. A modified locally conformal finite-difference time-domain algorithm for modeling three-dimensional perfectly conducting objects. IEEE Microw Opt Technol Lett, 1998, 17: 349--352

[7]  Dey S,  Mittra R. A conformal finite-difference time-domain technique for modeling cylindrical dielectric resonators. IEEE Trans Microw Theory Tech, 1999, 47: 1737--1739

[8]  Holland R. Finite-difference solution of Maxwell's equations in generalized nonorthogonal coordinates. IEEE Trans Nuclear Science, 1983,  NS-30: 4589--4591

[9]  Lee J -F,  Palandech R, Mittra R. Modeling three-dimensional discontinuities in  waveguide using nonorthogonal FDTD algorithm. IEEE Trans Microw Theory Tech, 1992, 40(2): 346--352

[10]  Madsen N. Divergence preserving discrete surface integral methods for Maxwell's curl equations using non-orthogonal unstructured grids. J Comput Phys, 1995, 119:  34--45

[11]  Gedney S,  Lansing F,  Rascoe D. Full wave analysis of microwave monolithic circuit devices using a generalized Yee-algorithm based on an unstructured grid. IEEE Trans Microw Theory Tech,  1996, 44(2): 1393--1400

[12]  Liu J,  Brio M,  Moloney J V. Overlapping Yee FDTD method on nonorthogonal grids. J Sci Comput, 2009, 39(1): 129--143. doi:10.1007/s10915-008-9253-1

[13]  Mohammadi A,  Nadgaran H,  Agio M.  Contour-path effective permittivities for the two-dimensional finite-difference time-domain method. Opt Express, 2005, 13(25): 10367--10381

[14]  Kaneda N, Houshmand B,  Itoh T.  FDTD analysis of dielectric resonators with curved surfaces. IEEE Trans Microw Theory Tech, 1997, 45(9): 1645--1649

[15]  Farjadpour A,  Roundy D,  Rodriguez A,  et al. Improving accuracy by subpixel smoothing in the finite-difference time domain. Opt Lett,  2006, 31(20): 2972--2974

[16]   Werner G R, Cary J  R. A stable FDTD algorithm for non-diagonal, anisotropic dielectrics. J Comput Phys, 2007, 226: 1085--1101

[17]  Calhoun D A, Helzel C, LeVeque R J. Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains. 
SIAM Rev, 2008, 50(4): 723--752. doi:http://dx.doi.org/10.1137/060664094.

[18]  Sacks Z S, Kingsland D M,  Lee R,  Lee J -F. A perfectly matched anisotropic absorber for use as an absorbing boundary condition. IEEE Trans Antennas Propag, 1995, 43: 1460--1463

[19]  Gedney S. An anisotropic perfectly matched layer absorbing media for the truncation of FDTD lattices. IEEE Trans Antennas Propag, 1996, 44:  1630--639

[20]  Jackson J D. Classical Electrodynamics. 2nd ed.  New York: Wiley, 1975

[21]  Bohren C  F, Huffman D  R.  Absorption and Scattering of Light by Small Particles. New York: Wiley,  1983