Two timederivative lorentz material (2TDLM) formulation of a maxwellian absorbing layer matched to a lossy medium

IEEE Transactions on Antennas and Propagation

Volumn 48, Issue 2, 2000, Pages 192199-

  Wittwer, David C ^a   Ziolkowski, Richard W ^a  

^a University of Arizona   (United States)

Author keywords

Lossy media; Perfectly matched layers; Timedomain analysis

Indexed keywords

EID: 33747856835     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. [ l ] J.P. Berenger "A perfectly matched layer for the absorption of electromagnetic waves"/ Computat. Phys. vol. 114 pp. 185200 Oct. 1994.
2. D. S. Katz E. T. Thiele and A. Taflove "Validation and extension to three dimensions of the Berenger PML absorbing boundary condition for FDTD meshes" IEEE Microwave Guided Wave Lett. vol. 4 pp. 268270 Aug. 1994.
3. W. C. Chew and W. H. Weedon "A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates" Microwave Opt. Technol. Lett. vol. 7 pp. 599604 Sept. 1994.
4. C. E. Reuter R. M. Joseph E. T. Thiele D. S. Katz and A. Taflove "Ultrawideband absorbing boundary condition for termination of waveguiding structures in FDTD simulations" IEEE Microwave Guided Wave Lett. vol. 4 pp. 246344 Oct. 1994.
5. C. M. Rappaport "Perfectly matched absorbing boundary conditions based on anisotropic lossy mapping of space" IEEE Microwave Guided Wave Lett. vol. 5 pp. 9092 Mar. 1995.
6. R. Mittra and Ü. Pekel "A new look at the perfectly matched layer (PML) concept for the reflectionless absorption of electromagnetic waves" IEEE Microwave Guided Wave Lett. vol. 5 pp. 8486 Mar. 1995.
7. Z. S. Sacks D. M. Kingsland R. Lee and J.F. Lee "A perfectly matched anisotropic absorber for use as an absorbing boundary condition" IEEE Trans. Antennas Propagat. vol. 43 pp. 14601463 Dec. 1995.
8. A. Taflove Computational Electrodynamics: The FiniteDifference TimeDomain Method. Boston MA: Artech House 1995.
9. L. Zhao and A. C. Cangellaris "GTPML: Generalized theory of perfectly matched layers and its application to the reflectionless truncation of finitedifference timedomain grids" IEEE Trans. Microwave Theory Tech. vol. 44 pp. 25552563 Dec. 1996.
10. S. Gedney "An anisotropic perfectly matched layerAbsorbing medium for the truncation of FDTD lattices" IEEE Trans. Antennas Propagat. vol. 44 pp. 16301639 Dec. 1996.
11. R. W. Ziolkowski "The design of Maxwellian absorbers for numerical boundary conditions and for practical applications using engineered artificial materials" IEEE Trans. Antennas Propagat. vol. 45 pp. 656671 Apr. 1997.
12. "Timederivative Lorentz materials and their utilization as electromagnetic absorbers" Phys. Rev. E vol. 55 no. 6 pp. 76967703 June 1997.
13. "Timederivative Lorentz material modelbased absorbing boundary condition" IEEE Trans. Antennas Propagat. vol. 45 pp. 15301535 Oct. 1997.
14. "Maxwellian material based absorbing boundary conditions" Comp. Meth. Appl. Mech. Eng. vol. 169 no. 3/4 pp. 237262 Feb. 1999.
15. E. Türkei and A. Yefet "Absorbing PML boundary layers for wavelike equations" preprint July 1997 to be published.
16. S. Abarbanel and D. Gottlieb "On the construction and analysis of absorbing layers in CEM" in Proc. Appl. Computat. Electromagn. Soc. Monterey CA Mar. 1997 pp. 876883.
17. R. W. Ziolkowski and F. Auzanneau "Passive artificial molecule realizations of dielectric materials" / Appl. Phys. vol. 82 no. 7 pp. 31953198 Oct. 1997.
18. "Artificial molecule realization of a magnetic wall" / Appl. Phys. vol. 82 no. 7 pp. 31923194 Oct. 1997.
19. F. Auzanneau and R. W. Ziolkowski "Theoretical study of synthetic bianisotropic smart materials"/ Electromagn. Waves Applicat. vol. 12 no. 3 pp. 353370 Mar. 1999.
20. D. C. Wittwer and R. W. Ziolkowski "Maxwellian material based absorbing boundary conditions for lossy media in 3D" IEEE Trans. Antennas Propagat. Aug. 1998 submitted for publication.
21. S. D. Gedney "An anisotropic PML absorbing media for FDTD simulation of fields in lossy dispersive media" Electromagn. vol. 16 pp. 39915 July/Aug. 1996.
22. A. Taflove Advances in Computational Electrodynamics: The FiniteDifference TimeDomain Method. Boston MA: Artech House 1998.
23. Y. C. Lau M. S. Leong and P. S. Kooi "Extension of Berenger's PML boundary condition in matching lossy medium and evanescent waves" Electron. Lett. vol. 32 no. 11 pp. 974976 1996.
24. J. Fang and Z. Wu "Generalized perfect matched layer for the absorption of propagating and evanescent waves in lossless and lossy media" IEEE Trans. Microwave Theory Tech. vol. 14 pp. 22162222 Dec. 1996.
25. Q. H. Liu "An FDTD algorithm with perfectly matched layers for conductive media" Microwave Opt. Technol. Lett. vol. 14 pp. 134137 Feb. 1997.
26. C. M. Rappaport and S. C. Winton "Modeling dispersive soil for FDTD computation by fitting conductivity parameters" in Proc. Appl. Computat. Electromagn. Soc. Monterey CA Mar. 1997 pp. 112117.
27. J. Kong Electromagnetic Waves. New York: Wiley 1986 pp. 110111.
28. D. C. Wittwer and R. W. Ziolkowski "How to design the imperfect Berenger PML" Electromagn. vol. 16 pp. 465185 July/Aug. 1996.
29. "The effect of dielectric loss in FDTD simulations of microstrip structures" IEEE Trans. Microwave Theory Tech. submitted for publication.