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Advances in finite-difference method...

Nehrbass, John Wayne.

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Advances in finite-difference methods for electromagnetic modeling.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advances in finite-difference methods for electromagnetic modeling./
作者:	Nehrbass, John Wayne.
面頁冊數:	154 p.
附註:	Source: Dissertation Abstracts International, Volume: 57-10, Section: B, page: 6464.
Contained By:	Dissertation Abstracts International57-10B.
標題:	Engineering, Electronics and Electrical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9710633
ISBN:	0591180901

Advances in finite-difference methods for electromagnetic modeling.
Nehrbass, John Wayne.

Advances in finite-difference methods for electromagnetic modeling. - 154 p.

Source: Dissertation Abstracts International, Volume: 57-10, Section: B, page: 6464.

Thesis (Ph.D.)--The Ohio State University, 1996.

Stability issues involved with using a time domain formulation of the perfectly matched layer (PML) absorbers are considered. One time domain formulation of the anisotropic PML is considered and it is shown that this formulation is dynamically unstable. Numerical stability of Berenger's formulation is next considered. This formulation is shown to be conditionally stable. The stability condition is shown to be independent of the coordinate stretch variables

ISBN: 0591180901Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Advances in finite-difference methods for electromagnetic modeling.
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245 1 0 $a Advances in finite-difference methods for electromagnetic modeling.
300 $a 154 p.
500 $a Source: Dissertation Abstracts International, Volume: 57-10, Section: B, page: 6464.
500 $a Adviser: Rob Lee.
502 $a Thesis (Ph.D.)--The Ohio State University, 1996.
520 $a Stability issues involved with using a time domain formulation of the perfectly matched layer (PML) absorbers are considered. One time domain formulation of the anisotropic PML is considered and it is shown that this formulation is dynamically unstable. Numerical stability of Berenger's formulation is next considered. This formulation is shown to be conditionally stable. The stability condition is shown to be independent of the coordinate stretch variables $\ sigma\sb{x},\ \sigma\sb{y} $, and $\ sigma\sb{z} $.
520 $a The numerical phase error of classical methods is considered. This phase error is related to the spatial resolution and thus limits the maximum grid size for a desired accuracy. Greater accuracy is typically achieved by defining finer resolutions or implementing higher order methods. Both these techniques require more memory and longer computation times. In this dissertation, new modified methods are presented which are optimized to problems of electromagnetics. Simple methods are presented that reduce numerical phase error without additional processing time or memory requirements. Furthermore, these methods are applied to both the Helmholtz equation and the finite difference time domain (FDTD) method. Both analytical and numerical results are presented to demonstrate the accuracy of these new methods.
520 $a Sub-gridding methods are presented. A systematic method is presented for optimally choosing weights required for interpolation between meshes. These weights are optimized for plane waves. Numerical verifications are presented. This concept is desirable for resolving electrically small objects, approximating curvatures more accurately, and modeling dense materials more efficiently.
590 $a School code: 0168.
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650 4 $a Physics, Electricity and Magnetism. $3 1019535
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791 $a Ph.D.
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