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Study of generalized formulation for augmented electric field integral equation with perturbation method
Author(s) -
Chen Wenjing,
Sun Sheng,
Liu Yang G.,
Liu Qin S.,
Chen Yongpin,
Hu Jun
Publication year - 2020
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2789
Subject(s) - perturbation (astronomy) , mathematical analysis , electric field integral equation , capacitive sensing , mathematics , taylor series , integral equation , electric field , physics , computer science , quantum mechanics , operating system
In this work, a generalized form for the augmented electric field integral equation with perturbation method is studied. By implementing Taylor expansion on all the frequency‐dependent matrix terms and the unknowns, the current coefficients on each frequency order can be obtained in the perturbation method, where the accuracy can be guaranteed near the zero frequency or within the static frequency region. When the frequency goes higher, more expanding terms are required to obtain the accurate results. In order to obtain a wideband solution, a general formulation for the perturbation method is derived and analyzed for the first time. As a result, the improved method can be further extended to dynamic region. Numerical results show that the achieved results for both capacitive circuit problems and plane wave scattering problems are more accurate in comparison with those obtained from the traditional solutions, where the number of the required expanding terms can be determined according to the corresponding error analysis.