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, R. W.
N1 - Publisher Copyright:
© 1999 IEEE.
PY - 1999
Y1 - 1999
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
U2 - 10.1109/APS.1999.789109
DO - 10.1109/APS.1999.789109
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AN - SCOPUS:85039996787
T3 - IEEE Antennas and Propagation Society International Symposium: Wireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting
SP - 172
EP - 175
BT - IEEE Antennas and Propagation Society International Symposium
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1999 IEEE Antennas and Propagation Society International Symposium, APSURSI 1999
Y2 - 11 July 1999 through 16 July 1999
ER -