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Comparative Analysis of Acceleration Techniques for 2-D and 3-D Green's Functions in Periodic Structures Along One and Two Directions
- Source :
- IEEE Transactions on Antennas and Propagation. 55:1630-1643
- Publication Year :
- 2007
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2007.
-
Abstract
- The problem of accelerating the calculation of the periodic Green’s function is addressed here for both 3-D and 2-D free-space configurations. In the 3-D case, periodicity is considered both along one axis and along two, generally skew, axes. A comprehensive review of the existing methods is first presented and some extensions are developed. The possibility of treating the case of complex phase shifts between unit cells, necessary for the study of complex modes in periodic structures, is also investigated. Comparisons among the various acceleration methods are performed, thus providing fundamental information on their actual efficiency in typical problems.
- Subjects :
- Numerical analysis
Modal analysis
Mathematical analysis
numerical method
Phase (waves)
Skew
complex mode
Acceleration techniques
complex modes
Green’s functions
numerical methods
periodic structures
Geometry
Function (mathematics)
Green’s function
Functional decomposition
Acceleration technique
Periodic function
Acceleration
Electrical and Electronic Engineering
Mathematics
Subjects
Details
- ISSN :
- 0018926X
- Volume :
- 55
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Antennas and Propagation
- Accession number :
- edsair.doi.dedup.....6918acede819b4e2fc41f0c14b7a069b