A Novel Space-Stepping Finite-Difference Frequency–Domain Method for Full Wave Electromagnetic Field Modeling of Passive Microwave Devices
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A Novel Space-Stepping Finite-Difference Frequency–Domain Method for Full Wave Electromagnetic Field Modeling of Passive Microwave DevicesAbstract
In this paper a novel space-stepping finite-difference frequency-domain (SSFDFD) method is presented for the analysis of passive microwave devices. Unknown electromagnetic (EM) fields are solved from given EM fields at two initial planes space-step by space-step along a spatial direction. SSFDFD has the advantage over the traditional FDFD method in that all the EM field unknowns are local variables and the solution of a huge matrix equation is avoided. The stability condition for the SSFDFD method is derived as that for the finite-difference time-domain (FDTD) method. Application examples show that the stability condition is valid and the SSFDFD method is at least one magnitude faster than the traditional FDFD method with the same accuracy of analysis. SSFDFD has the potential to be a powerful and fast tool for full wave EM field modeling of passive microwave devices.
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References
A. Christ and H. Hartnagel, “Three-dimensional
finite-difference method for the analysis of
microwave-device embedding,” IEEE Trans.
Microwave Theory Tech., vol. 35, no. 8, pp.
-695, Aug. 1987.
S. Haffa, D. Hollmann, and W. Wiesbeck, “The
finite difference methods for S-parameter
calculation of arbitrary three-dimensional
structures,” IEEE Trans. Microwave Theory Tech.,
vol. 40, no. 8, pp. 1602-1610, Aug. 1992.
K. Yee, “Numerical solution of initial boundary
value problems involving Maxwell's equations in
isotropic media,” IEEE Trans. Antennas
Propagation, vol. 14, no. 5, pp. 302-307, May
M. Li, Q. Zhang, and M. Nakhla, “Finite difference
solution of EM fields by asymptotic waveform
techniques,” IEE Proceedings Microwaves,
Antennas and Propagation, vol. 143, no. 6, pp.
-520, Dec. 1996.
R. Remis and P. Van Den Berg, “A modified
Lanczos algorithm for the computation of transient
electromagnetic wavefields,” IEEE Trans.
Microwave Theory Tech., vol. 45, no. 12, pp.
-2149, Dec. 1997.
T. Zhou, S. Dvorak, and J. Prince, “Application of
the Pade approximation via Lanczos (PVL)
algorithm to electromagnetic systems with
expansion at infinity,” Electronic Components and
Technology Conference, 2000, pp. 1515 –1520,
May. 2000.
A. Taflove and M. Brodwin, “Numerical solution
of steady-state electromagnetic scattering problems
using the time dependent Maxwell's equations,”
IEEE Trans. Microwave Theory Tech., vol. 23, no.
, pp. 623-630, Aug. 1975.
L.-Y. Li and J.-F. Mao, “An improved compact 2-D
finite-difference frequency-domain method for
guided wave structures,” IEEE Microwave and
Wireless Components Letters, vol. 13, pp. 520-522,
Dec. 2003.
F. Edelvik and B. Strand, “Frequency dispersive
materials for 3-D hybrid solvers in time domain,”
IEEE Trans. Antennas Propagation, vol. 51, pp.
-1205, June 2003.
