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oai:www.ideals.illinois.edu:2142/80793 2023-07-11 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

Cangellaris, Andreas C. Hwang, Kyu-Pyung 2015-09-25T20:08:11Z 2015-09-25T20:08:11Z 10000-01-01 2002 2002 Development of accurate numerical boundary conditions for metallic boundaries and dielectric interfaces is the key to the proper implementation of high-order finite-difference time-domain (FDTD) methods for Maxwell's equations. In this dissertation, a new set of numerical boundary conditions at perfectly conducting walls and dielectric interfaces is proposed for Fang's fourth-order FDTD schemes. The eigenvalue analysis of the fully discrete systems shows the influence of boundary conditions on the original fourth-order schemes. Numerical experiments using two- and three-dimensional rectangular cavities verify that the proposed numerical boundary conditions preserve the fourth-order accuracy of Fang's schemes. Simulations of electromagnetic wave propagations through rectangular waveguides demonstrate that the enhanced high-order schemes produce much smaller phase errors compared to the second-order FDTD methods. As a consequence, the enhanced fourth-order Fang's schemes reduce the computational cost by more than two orders of magnitude in practical time domain electromagnetic simulations of three-dimensional structures composed of conductors and dielectrics. Applications in nonradiative dielectric (NRD) waveguide structures illustrate the promising capabilities of the enhanced fourth-order FDTD schemes for time domain simulations of electrically long microwave/millimeter wave and optoelectronic devices. Made available in DSpace on 2015-09-25T20:08:11Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3070331.pdf: 3902869 bytes, checksum: 80397548d29143c6eec15ba3036b9bee (MD5) Previous issue date: 2002 Embargo set by: Seth Robbins for item 82075 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 85 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002. http://hdl.handle.net/2142/80793 (MiAaPQ)AAI3070331 eng Engineering, Electronics and Electrical Numerical Boundary Conditions for the Fourth -Order Accurate Finite -Difference Time -Domain Solution of Maxwell's Equations text Electrical Engineering Electrical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.