Premium
Second‐order accurate FDTD equations at dielectric interfaces
Author(s) -
Chu QingXin,
Ding Hai
Publication year - 2007
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.22912
Subject(s) - finite difference time domain method , discretization , dielectric , microwave , maxwell's equations , curl (programming language) , lattice (music) , mathematical analysis , finite difference method , electromagnetic field , mathematics , physics , computer science , optics , quantum mechanics , acoustics , programming language
The rigorous second‐order accurate finite‐difference time‐domain method equations at dielectric interfaces are straightforwardly derived though the discretization of the integral forms of Maxwell's curl equations on the nonuniform Yee's lattice and Taylor series extending of continuous field components over finite volumes including the interfaces. It is shown that to obtain second‐order accuracy, we not only require to construct proper effective permittivities in the grids containing the dielectric interfaces, but also to choose nonuniform Yee's grids available in the vicinity of the interface. The attempts in the past are not appropriate for this purpose based on the uniform Yee's lattice. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 3007–3011, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22912