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 | |
| 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 | United States |
| City | Orlando |
| Period | 7/11/99 → 7/16/99 |
Fingerprint
ASJC Scopus subject areas
- Computer Networks and Communications
- Electronic, Optical and Magnetic Materials
- Instrumentation
- Radiation
Cite this
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
}
TY - GEN
T1 - The time domain discrete green's function as a boundary condition for three dimensional waveguide problems
AU - Holtzman, R.
AU - Kastner, R.
AU - Heyman, E.
AU - Ziolkowski, Richard W
PY - 1999/1/1
Y1 - 1999/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85039996787&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85039996787&partnerID=8YFLogxK
U2 - 10.1109/APS.1999.789109
DO - 10.1109/APS.1999.789109
M3 - Conference contribution
VL - 1
SP - 172
EP - 175
BT - IEEE Antennas and Propagation Society International Symposium
PB - Institute of Electrical and Electronics Engineers Inc.
ER -