A fast near-to-far-field transformation in body of revolution finite-difference time-domain method
We present an efficient near-to-far-field transformation technique to be used in conjunction with the body of revolution finite-difference time-domain (BOR/FDTD) algorithm. The efficiency is gained by factoring out the azimuthal angle /spl phi/ from the two-dimensional (2D) far-field integration usi...
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Published in | IEEE transactions on antennas and propagation Vol. 51; no. 9; pp. 2534 - 2540 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
New York
IEEE
01.09.2003
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
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Abstract | We present an efficient near-to-far-field transformation technique to be used in conjunction with the body of revolution finite-difference time-domain (BOR/FDTD) algorithm. The efficiency is gained by factoring out the azimuthal angle /spl phi/ from the two-dimensional (2D) far-field integration using an analytical approach, thereby reducing the 2D integral on the surface of the Huygens' box to a 1D version in the process. To illustrate the application of the proposed algorithm, the Potter horn is analyzed. The numerical results show good agreement with those obtained by using either analytical (where possible), or 2D integration schemes. |
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AbstractList | We present an efficient near-to-far-field transformation technique to be used in conjunction with the body of revolution finite-difference time-domain (BOR/FDTD) algorithm. The efficiency is gained by factoring out the azimuthal angle phi from the two-dimensional (2D) far-field integration using an analytical approach, thereby reducing the 2D integral on the surface of the Huygens' box to a 1D version in the process. To illustrate the application of the proposed algorithm, the Potter horn is analyzed. The numerical results show good agreement with those obtained by using either analytical (where possible), or 2D integration schemes. We present an efficient near-to-far-field transformation technique to be used in conjunction with the body of revolution finite-difference time-domain (BOR/FDTD) algorithm. The efficiency is gained by factoring out the azimuthal angle /spl phi/ from the two-dimensional (2D) far-field integration using an analytical approach, thereby reducing the 2D integral on the surface of the Huygens' box to a 1D version in the process. To illustrate the application of the proposed algorithm, the Potter horn is analyzed. The numerical results show good agreement with those obtained by using either analytical (where possible), or 2D integration schemes. |
Author | Farahat, N. Mittra, R. Wenhua Yu |
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Cites_doi | 10.1109/TAP.1967.1138883 10.1109/22.506441 10.1109/8.901269 10.1109/8.35799 10.1109/TEMC.1981.303970 |
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References | balanis (ref10) 1989 ref8 potter (ref7) 1963; 4 ref9 yee (ref1) 1966; ap 14 davidson (ref4) 1993 ref3 ref11 ref2 taflove (ref6) 2000 kunz (ref5) 1993 |
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SubjectTerms | Algorithm design and analysis Algorithms Antennas Azimuthal angle Bodies of revolution Computational electromagnetics Electromagnetic radiation Electromagnetic scattering Finite difference method Finite difference methods Horns Magnetic field measurement Mathematical analysis Sampling methods Time domain analysis Transformations Two dimensional Two dimensional displays |
Title | A fast near-to-far-field transformation in body of revolution finite-difference time-domain method |
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