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Numerical analysis of electrically small structures embedded in a layered medium
Author(s) -
Chen Yongpin P.,
Xiong Jie L.,
Chew Weng Cho,
Nie Zaiping P.
Publication year - 2009
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.24302
Subject(s) - inductance , capacitance , singularity , helmholtz free energy , microwave , scaling , matrix (chemical analysis) , normalization (sociology) , free space , electronic engineering , physics , mathematical analysis , engineering , voltage , mathematics , materials science , electrical engineering , electrode , optics , geometry , quantum mechanics , composite material , sociology , anthropology
Abstract Accurate numerical analysis of electrically small structures embedded in a layered medium is presented in this letter. In our approach, the matrix‐friendly layered medium Green's function is implemented for its elegant expression and singularity of lowest order. The current is decomposed into divergence‐free part and nondivergence‐free part according to quasi‐Helmholtz decomposition when frequency tends to zero, to capture both capacitance and inductance physics. Frequency normalization is applied after analyzing frequency scaling properties of different blocks of the matrix system. Similar to the free space case, connection matrix is utilized to make the electro‐quasi‐static block amenable to iterative solvers. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 1304–1308, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24302