Numerical green's function in surface integral equation method and hydrodynamic model for solar cell analysis

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2019

Author dc:creator

• Gan, Hui

Contributors dc:contributor

• Chew, Weng Cho
• Li, Xiuling
• Makela, Jonathan J.
• Schutt-Ainé, José E.

• Numerical Green's function, Surface integral equation, Characteristic mode analysis, Hydrodynamic model

Statement dc:rights

• Copyright 2019 Hui Gan

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/104753

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/104753