Efficient algorithms for the study of waveguiding and scattering structures
نام عام مواد
[Thesis]
نام نخستين پديدآور
M. A. Nasir
نام ساير پديدآوران
W. C. Chew
وضعیت نشر و پخش و غیره
نام ناشر، پخش کننده و غيره
University of Illinois at Urbana-Champaign
تاریخ نشرو بخش و غیره
1994
مشخصات ظاهری
نام خاص و کميت اثر
159
یادداشتهای مربوط به پایان نامه ها
جزئيات پايان نامه و نوع درجه آن
Ph.D.
کسي که مدرک را اعطا کرده
University of Illinois at Urbana-Champaign
امتياز متن
1994
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
In this dissertation, efficient algorithms for the study of waveguiding and scattering from dielectric structures are studied. The focus of this discourse is on the computational aspects rather than electromagnetic theory, although the theory is discussed whenever it is needed. First, the solution of a hybrid finite element method (HFEM) problem is considered. It is shown that a suitable ordering of the FEM mesh results in a canonical HFEM matrix system. The resulting linear systems have a computational complexity of usdO(N\sp2)usd and usdO(N\sp{1.5})usd, respectively, when direct banded solvers and sparse direct methods are used. This computational complexity is comparable to that for FEM methods using approximate boundary conditions and a similar sparse solution method. Second, we consider the solution of generalized eigenvalue problems which results from the study of dielectric waveguides. The iterative Chebyshev-Arnoldi method is used together with inflated inverse iteration. It is shown that we can find the desired number of eigenpairs in a cost-effective way. Third, scattering of a plane wave from a periodic randomly rough dielectric surface with an electrically large period is considered. A novel approach is used to find convergent forms of otherwise nonconvergent series. Even though the problem being considered is of an infinite extent, the solution is fast and requires minimal storage. In addition, this method can solve surface roughnesses of the order of a wavelength and more.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Applied sciences
موضوع مستند نشده
Computer science
موضوع مستند نشده
Electrical engineering
موضوع مستند نشده
Electrical engineering
موضوع مستند نشده
waveguides
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )