LOD-BOR-FDTD Algorithm for Efficient Analysis of Circularly Symmetric Structures

The unconditionally stable locally 1-D (LOD) scheme is used to develop an efficient implicit body-of-revolution (BOR) finite-difference time-domain (FDTD) method. In the LOD-BOR-FDTD, the number of arithmetic operations of the resultant finite-difference equations is significantly reduced, when comp...

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Bibliographic Details
Published in:IEEE microwave and wireless components letters 2009-02, Vol.19 (2), p.56-58
Main Authors: Shibayama, J., Murakami, B., Yamauchi, J., Nakano, H.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Algorithms
Applied sciences
Arithmetic
Body of revolution (BOR)
Cavity resonators
Circuit properties
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Finite difference method
Finite difference methods
locally 1-D finite- difference time-domain method (LOD-FDTD)
Mathematical analysis
Matrices
Maxwell equations
Microwaves
Nodular iron
Oscillators, resonators, synthetizers
Resonance
Resonant frequency
Resultants
rotationally symmetric geometry
Tellurium
Time domain analysis
unconditional stability
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Summary:The unconditionally stable locally 1-D (LOD) scheme is used to develop an efficient implicit body-of-revolution (BOR) finite-difference time-domain (FDTD) method. In the LOD-BOR-FDTD, the number of arithmetic operations of the resultant finite-difference equations is significantly reduced, when compared with the alternating-direction implicit (ADI) BOR-FDTD. Numerical results of circular cavity resonators reveal that the LOD-BOR-FDTD provides resonance frequencies identical to the ADI counterparts, with the computational time being reduced to 70%.
ISSN:1531-1309
2771-957X
1558-1764
2771-9588
DOI:10.1109/LMWC.2008.2011302