Numerical green's function in surface integral equation method and hydrodynamic model for solar cell analysis
Gan, Hui
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https://hdl.handle.net/2142/104753
Description
Title
Numerical green's function in surface integral equation method and hydrodynamic model for solar cell analysis
Author(s)
Gan, Hui
Issue Date
2019-03-07
Director of Research (if dissertation) or Advisor (if thesis)
Chew, Weng Cho
Doctoral Committee Chair(s)
Chew, Weng Cho
Committee Member(s)
Li, Xiuling
Makela, Jonathan J.
Schutt-Ainé, José E.
Department of Study
Electrical & Computer Eng
Discipline
Electrical & Computer Engr
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Numerical Green's function, Surface integral equation, Characteristic mode analysis, Hydrodynamic model
Abstract
Several aspects of numerical Green's function (NGF) in the surface integral equation (SIE) method for inhomogeneous media have been addressed, including the process of solving for the NGF from differential equation, the integrating of NGF with SIE, the NGF based augmented-electric field integral equation (A-EFIE) for low-frequency problems and the characteristic mode analysis (CMA) for conducting objects with inhomogeneous background. The NGF of inhomogeneous media is purely independent with SIE which can be obtained by a variety of differential equation solvers with an arbitrary boundary condition. Therefore, the NGF can be precomputed and reused when it interacts with other objects in SIE. By encapsulating the inhomogeneous background with NGF, the CMA is extended to tackle real world problems where the interaction with background is captured. In addition, with the proposed model-order reduction method and wide-band spectral NGF, the complexity of performing CMA on the problem with inhomogeneous background is greatly reduced. Finally, the physics in semiconductor devices is investigated where the hydrodynamic model is applied to analyze semiconductor solar cell with nonlinearity.
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