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Analytical Expression for the Time-Domain Green's Function of a Discrete Plane Wave Propagating in the 3-D FDTD Grid
Abstract
In this paper, a closed-form expression for the time-domain dyadic Green’s function of a discrete plane wave (DPW) propagating in a 3-D finite-difference time-domain (FDTD) grid is derived. In order to verify our findings, the time-domain implementation of the DPW-injection technique is developed with the use of the derived expression for 3-D total-field/scattered-field (TFSF) FDTD simulations. This implementation requires computations of the time-domain Green’s function of DPW with the use of multiple-precision arithmetic. Then, excitations at the TFSF interface can be computed as a time-domain convolution of a source function with the Green’s function of DPW. The developed time-domain implementation of the DPW-injection technique demonstrates the leakage error across the TFSF interface around the numerical noise level that verifies the correctness of the derivation.
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- Copyright (2017 IEEE)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
no. 65,
pages 3607 - 3614,
ISSN: 0018-926X - Language:
- English
- Publication year:
- 2017
- Bibliographic description:
- Stefański T., Reichel B.: Analytical Expression for the Time-Domain Green's Function of a Discrete Plane Wave Propagating in the 3-D FDTD Grid// IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. -Vol. 65, nr. 7 (2017), s.3607-3614
- DOI:
- Digital Object Identifier (open in new tab) 10.1109/tap.2017.2700019
- Verified by:
- Gdańsk University of Technology
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