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Thin‐slot formalism for the split‐field FDTD analysis of periodic structure
Author(s) -
Xu Boao,
Yi Yun,
Chen Bin,
Yin Qin,
Xiong Run
Publication year - 2017
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.21087
Subject(s) - finite difference time domain method , formalism (music) , field (mathematics) , mathematics , electromagnetic field , mathematical analysis , physics , optics , quantum mechanics , pure mathematics , art , musical , visual arts
An expression of the thin‐slot formalism is presented to alleviate the gridding of the split‐field finite‐difference time‐domain (FDTD) solution for periodic structure. The varying auxiliary‐field ( P ¯ ,Q ¯ ) and split‐field (P ¯ a,Q ¯ a) distributions near the slots are analytically derived from the varying field ( E ¯ ,H ¯ ). The update equations for the split‐field FDTD are obtained by incorporating those varying field distributions into the split‐field equations in integral form. A frequency selective surface (FSS) structure is applied to verify the proposed method. The results indicate that the computational efficiency is improved.