The time domain discrete green's function as a boundary condition for three dimensional waveguide problems

R. Holtzman; R. Kastner; E. Heyman; Richard W Ziolkowski

doi:10.1109/APS.1999.789109

The time domain discrete green's function as a boundary condition for three dimensional waveguide problems

R. Holtzman, R. Kastner, E. Heyman, Richard W Ziolkowski

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

For the calculation of the Green's function, the boundary layer is excited by a space-time impulse. The field within the computational domain is initially set to zero. By using the FDTD equations beyond the boundary, this impulse generates an output at the boundary, which allows the desired Green's function to be written in the form of a matrix. This matrix is subsequently used in the boundary condition, which is applicable for all types of excitations, including evanescent waves. A rectangular waveguide is used for a 3D demonstration of this method. The Green's function condition is applied at the one end of the waveguide in an FDTD computation with, say, TE/sub 10/ excitation. As expected, the profiles of E/sub y/ along the z and y axes are sinusoidal and uniform, respectively, both ending abruptly at the boundary. These numerical results agree quite closely with the known analytical solutions to this problem.

Original language	English (US)
Title of host publication	IEEE Antennas and Propagation Society International Symposium
Subtitle of host publication	Wireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	172-175
Number of pages	4
Volume	1
ISBN (Electronic)	078035639X, 9780780356399
DOIs	https://doi.org/10.1109/APS.1999.789109
State	Published - Jan 1 1999
Event	1999 IEEE Antennas and Propagation Society International Symposium, APSURSI 1999 - Orlando, United States Duration: Jul 11 1999 → Jul 16 1999

Other

Other	1999 IEEE Antennas and Propagation Society International Symposium, APSURSI 1999
Country/Territory	United States
City	Orlando
Period	7/11/99 → 7/16/99

ASJC Scopus subject areas

Computer Networks and Communications
Electronic, Optical and Magnetic Materials
Instrumentation
Radiation

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10.1109/APS.1999.789109

Cite this

Holtzman, R., Kastner, R., Heyman, E., & Ziolkowski, R. W. (1999). The time domain discrete green's function as a boundary condition for three dimensional waveguide problems. In IEEE Antennas and Propagation Society International Symposium: Wireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting (Vol. 1, pp. 172-175). [789109] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS.1999.789109

The time domain discrete green's function as a boundary condition for three dimensional waveguide problems. / Holtzman, R.; Kastner, R.; Heyman, E.; Ziolkowski, Richard W.

IEEE Antennas and Propagation Society International Symposium: Wireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting. Vol. 1 Institute of Electrical and Electronics Engineers Inc., 1999. p. 172-175 789109.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Holtzman, R, Kastner, R, Heyman, E & Ziolkowski, RW 1999, The time domain discrete green's function as a boundary condition for three dimensional waveguide problems. in IEEE Antennas and Propagation Society International Symposium: Wireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting. vol. 1, 789109, Institute of Electrical and Electronics Engineers Inc., pp. 172-175, 1999 IEEE Antennas and Propagation Society International Symposium, APSURSI 1999, Orlando, United States, 7/11/99. https://doi.org/10.1109/APS.1999.789109

Holtzman R, Kastner R, Heyman E, Ziolkowski RW. The time domain discrete green's function as a boundary condition for three dimensional waveguide problems. In IEEE Antennas and Propagation Society International Symposium: Wireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting. Vol. 1. Institute of Electrical and Electronics Engineers Inc. 1999. p. 172-175. 789109 https://doi.org/10.1109/APS.1999.789109

Holtzman, R. ; Kastner, R. ; Heyman, E. ; Ziolkowski, Richard W. / The time domain discrete green's function as a boundary condition for three dimensional waveguide problems. IEEE Antennas and Propagation Society International Symposium: Wireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting. Vol. 1 Institute of Electrical and Electronics Engineers Inc., 1999. pp. 172-175

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The time domain discrete green's function as a boundary condition for three dimensional waveguide problems

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