A Strongly Well-Posed PML with Unsplit-Field Formulations in Cylindrical and Spherical Coordinates

References

• Berenger , J. P. 1994 . A perfectly matched layer for the absorption EM waves . J. Comput. Phys. , 114 : 185 – 200 .
   Web of Science ®Google Scholar
• Chew , W. C. and Weedon , W. H. 1994 . A 3D perfectly matched medium from modified Maxwell’s equations with stretched coordinates . Microwave Opt. Tech. Lett. , 7 : 599 – 604 .
   Web of Science ®Google Scholar
• Fang , J. and Wu , Z. 1996 . Generalized perfect matched layer for the absorption of propagating and evanescent waves in lossless and lossy media . IEEE Trans. Microwave Theory Tech. , 14 : 2216 – 2222 .
   Google Scholar
• Liu , Q. H. 1997 . An FDTD algorithm with perfectly matched layers for conductive media . Microwave Opt. Tech. Lett. , 14 : 134 – 137 .
   Web of Science ®Google Scholar
• Teixeira , F. L. and Chew , W. C. 1997 . PML-FDTD in cylindrical and sphere grids . IEEE Microwave Guided Wave Lett. , 7 : 285 – 287 .
   Google Scholar
• Teixeira , F. L. and Chew , W. C. 1997 . Systematic derivation of anisotropic PML absorbing media in cylindrical and spherical coordiantes . IEEE Microwave Guided Wave Lett. , 7 : 371 – 373 .
   Web of Science ®Google Scholar
• He , J. Q. and Liu , Q. H. 1999 . A non uniform cylindrical FDTD algorithm with improved PML and quasi-PML absorbing boundary conditions . IEEE Trans. Geosci. Remote. Sensing , 37 : 1066 – 1072 .
   Google Scholar
• Abarbanel , S. and Gottlieb , D. Mar. 1997 . “ On the construction and analysis of absorbing layers in CEM ” . In Proc. 13th Annu. Rev. Progress in Applied Computational Electromagnetics Mar. , 876 – 883 . Monterey , CA
   Google Scholar
• Abarbanel , S. and Gottlieb , D. 1997 . A mathematical analysis of the PML method . Comput. Phys. , 134 : 357 – 363 .
   Google Scholar
• Sachs , Z. S. , Kingsl , D. M. , Lee , R. and Lee , J. F. 1995 . A perfectly matched anisotropic absorber for use as an absorbing boundary condition . IEEE Trans. Antennas Propagat. , 43 : 1460 – 1463 .
   Google Scholar
• Gedney , S. D. 1996 . An anisotropic perfectly matched layer-Absorbing medium for the truncation of FDTD lattices . IEEE Trans. Antennas Propagat. , 44 : 1630 – 1639 .
   Web of Science ®Google Scholar
• Ziolkowski , R. W. 1997 . Time-derivative Lorentz material model-based absorbing condition . IEEE Trans. Antennas Propagat. , 45 : 1530 – 1535 .
   Google Scholar
• Sullivan , D. M. 1997 . An unsplit step 3-D PML for use with the FDTD method . IEEE Microwave Guided Lett. , 7 : 184 – 186 .
   Google Scholar
• Wittwer , D. C. and Ziolkowski , R. W. 2000 . Two time-derivative lorentz material (2TDLM) formulation of a Maxwellian absorbing layer matched to a lossy medium . IEEE Trans. Antennas Propagat. , 48 : 192 – 199 .
   Google Scholar
• Turkel , E. and Yefet , A. 1998 . Absorbing PML boundary layers for wave-like equations . Appl. Numer. Math. , 27 : 533 – 557 .
   Web of Science ®Google Scholar
• Fan , G. X. and Liu , Q. H. 2003 . A strongly well-posed PML in lossy media . IEEE Antennas Wireless Propagat. Lett. , 2 : 97 – 100 .
   Web of Science ®Google Scholar
• Liu , Q. H. 1997 . The PSTD algorithm: A time-domain method requiring only two cells per wavelength . Microwave Opt. Technol. Lett. , 15 : 158 – 165 .
   Web of Science ®Google Scholar
• Liu , Q. H. 1999 . Large-scale simulations of electromagnetic and acoustic measurements using the pseudospectral time-domain (PSTD) algorithm . IEEE Trans. Geosci. Remote. Sens. , 37 : 917 – 926 .
   Google Scholar
• Fan , G. X. , Liu , Q. H. and Hesthaven , J. S. 2002 . Multidomain pseudospectral time-domain method for simulation of scattering from objects buried in lossy media . IEEE Trans. Geosci. Remote. Sens. , 40 : 1366 – 1373 .
   Web of Science ®Google Scholar
• Zhao , G. and Liu , Q. H. 2003 . The 3-D multidomain pseudospectral time-domain algorithm for wideband simulation . IEEE Microwave Wireless Component Lett. , 13 : 184 – 186 .
   Google Scholar
• Yang , B. , Gottlieb , D. and Hesthaven , J. S. 1997 . Spectral simulation of electromagnetic wave scattering . J. Comupt. Phys. , 134 : 216 – 230 .
   Google Scholar
• Hua , Y. and Sarkar , T. K. 1989 . Generalized pencil of function method for extracting poles of an EM system from its transient response . IEEE Trans. Antennas Propagat. , 37 : 229 – 234 .
   Web of Science ®Google Scholar