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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society International Symposium
Subtitle of host publicationWireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages172-175
Number of pages4
Volume1
ISBN (Electronic)078035639X, 9780780356399
DOIs
StatePublished - Jan 1 1999
Event1999 IEEE Antennas and Propagation Society International Symposium, APSURSI 1999 - Orlando, United States
Duration: Jul 11 1999Jul 16 1999

Other

Other1999 IEEE Antennas and Propagation Society International Symposium, APSURSI 1999
CountryUnited States
CityOrlando
Period7/11/997/16/99

Fingerprint

discrete functions
Green's function
Waveguides
Green's functions
Boundary conditions
boundary conditions
waveguides
finite difference time domain method
impulses
Rectangular waveguides
rectangular waveguides
evanescent waves
matrices
excitation
boundary layers
Boundary layers
Demonstrations
output
profiles

ASJC Scopus subject areas

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

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 proceedingConference 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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