G. X. Fan, Q. H. Liu, “FDTD and PSTD simulations for plasma applications,” IEEE Trans. Plasma Sci. 29, 341–348 (2001).

[CrossRef]

W. K. Leung, Y. C. Chen, “Transformed-spaced nonuniform pseudospectral time-domain algorithm,” Microwave Opt. Technol. Lett. 28, 391–396 (2001).

[CrossRef]

Q. L. Li, Y. C. Chen, D. Ge, “Comparison study of the PSTD and FDTD methods for scattering analysis,” Microwave Opt. Technol. Lett. 25, 220–226 (2000).

[CrossRef]

Q. H. Liu, X. M. Xu, B. Tian, Z. Q. Zhang, “Applications of nonuniform fast transform algorithms in numerical solutions of differential and integral equations,” IEEE Trans. Geosci. Remote Sens. 38, 1551–1560 (2000).

[CrossRef]

B. Tian, Q. H. Liu, “Nonuniform fast cosine transform and Chebyshev PSTD algorithms,” Prog. Electromagn. Res. 28, 253–273 (2000).

[CrossRef]

Q. H. Liu, “Large-scale simulations of electromagnetic and acoustic measurements using the pseudospectral time-domain (PSTD) algorithm,” IEEE Trans. Geosci. Remote Sens. 37, 917–926 (1999).

[CrossRef]

Y. F. Leung, C. H. Chan, “Pseudospectral time-domain (PSTD) method with unsplit-field PML,” Microwave Opt. Technol. Lett. 22, 278–283 (1999).

[CrossRef]

Q. H. Liu, “PML and PSTD algorithm for arbitrary lossy anisotropic media,” IEEE Microwave Guid. Wave Lett. 9, 48–50 (1999).

[CrossRef]

Q. H. Liu, “A frequency-dependent PSTD algorithm for general dispersive media,” IEEE Microwave Guid. Wave Lett. 9, 51–53 (1999).

[CrossRef]

N. Nguyen, Q. H. Liu, “The regular Fourier matrices and non-uniform fast Fourier transforms,” SIAM J. Sci. Comput. 21, 283–293 (1999).

[CrossRef]

J. S. Hesthaven, P. G. Dinesen, J. P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

Q. H. Liu, “An accurate algorithm for nonuniform fast Fourier transforms,” IEEE Microwave Guid. Wave Lett. 8, 18–20 (1998).

[CrossRef]

Q. H. Liu, “The PSTD algorithm: a time-domain method requiring only two cells per wavelength,” Microwave Opt. Technol. Lett. 15, 158–165 (1997).

[CrossRef]

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).

[CrossRef]

A. Dutt, V. Rokhlin, “Fast Fourier transforms for nonequi-spaced data,” SIAM J. Sci. Comput. 14, 1368–1393 (1993).

[CrossRef]

A. Bayliss, E. Turkel, “Mappings and accuracy for Chebyshev pseudo-spectral methods,” J. Comput. Phys. 101, 342–359 (1992).

[CrossRef]

J. W. Cooley, J. W. Tukey, “Algorithm for the machine computation of complex Fourier series,” Math. Comput. 19, 297–301 (1965).

[CrossRef]

A. Bayliss, E. Turkel, “Mappings and accuracy for Chebyshev pseudo-spectral methods,” J. Comput. Phys. 101, 342–359 (1992).

[CrossRef]

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).

[CrossRef]

J. P. Boyd, Chebyshev and Fourier Spectral Methods, 2nd ed. (Dover, Mineola, New York, 2001).

C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987).

Y. F. Leung, C. H. Chan, “Pseudospectral time-domain (PSTD) method with unsplit-field PML,” Microwave Opt. Technol. Lett. 22, 278–283 (1999).

[CrossRef]

W. K. Leung, Y. C. Chen, “Transformed-spaced nonuniform pseudospectral time-domain algorithm,” Microwave Opt. Technol. Lett. 28, 391–396 (2001).

[CrossRef]

Q. L. Li, Y. C. Chen, D. Ge, “Comparison study of the PSTD and FDTD methods for scattering analysis,” Microwave Opt. Technol. Lett. 25, 220–226 (2000).

[CrossRef]

J. W. Cooley, J. W. Tukey, “Algorithm for the machine computation of complex Fourier series,” Math. Comput. 19, 297–301 (1965).

[CrossRef]

J. S. Hesthaven, P. G. Dinesen, J. P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

A. Dutt, V. Rokhlin, “Fast Fourier transforms for nonequi-spaced data,” SIAM J. Sci. Comput. 14, 1368–1393 (1993).

[CrossRef]

G. X. Fan, Q. H. Liu, “FDTD and PSTD simulations for plasma applications,” IEEE Trans. Plasma Sci. 29, 341–348 (2001).

[CrossRef]

X. Gao, “Design, fabrication and characterization of small diffractive optical elements,” M.S. thesis (University of Delaware, Newark, Delaware, 2000).

X. Gao, D. W. Prather, M. S. Mirotznik, “A method for introducing soft sources in the PSTD algorithm,” IEEE Trans. Antenna Propag. (to be published).

Q. L. Li, Y. C. Chen, D. Ge, “Comparison study of the PSTD and FDTD methods for scattering analysis,” Microwave Opt. Technol. Lett. 25, 220–226 (2000).

[CrossRef]

D. Gottlieb, S. A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1977).

A. Taflove, S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

J. S. Hesthaven, P. G. Dinesen, J. P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987).

W. K. Leung, Y. C. Chen, “Transformed-spaced nonuniform pseudospectral time-domain algorithm,” Microwave Opt. Technol. Lett. 28, 391–396 (2001).

[CrossRef]

Y. F. Leung, C. H. Chan, “Pseudospectral time-domain (PSTD) method with unsplit-field PML,” Microwave Opt. Technol. Lett. 22, 278–283 (1999).

[CrossRef]

Q. L. Li, Y. C. Chen, D. Ge, “Comparison study of the PSTD and FDTD methods for scattering analysis,” Microwave Opt. Technol. Lett. 25, 220–226 (2000).

[CrossRef]

G. X. Fan, Q. H. Liu, “FDTD and PSTD simulations for plasma applications,” IEEE Trans. Plasma Sci. 29, 341–348 (2001).

[CrossRef]

B. Tian, Q. H. Liu, “Nonuniform fast cosine transform and Chebyshev PSTD algorithms,” Prog. Electromagn. Res. 28, 253–273 (2000).

[CrossRef]

Q. H. Liu, X. M. Xu, B. Tian, Z. Q. Zhang, “Applications of nonuniform fast transform algorithms in numerical solutions of differential and integral equations,” IEEE Trans. Geosci. Remote Sens. 38, 1551–1560 (2000).

[CrossRef]

Q. H. Liu, “PML and PSTD algorithm for arbitrary lossy anisotropic media,” IEEE Microwave Guid. Wave Lett. 9, 48–50 (1999).

[CrossRef]

N. Nguyen, Q. H. Liu, “The regular Fourier matrices and non-uniform fast Fourier transforms,” SIAM J. Sci. Comput. 21, 283–293 (1999).

[CrossRef]

Q. H. Liu, “Large-scale simulations of electromagnetic and acoustic measurements using the pseudospectral time-domain (PSTD) algorithm,” IEEE Trans. Geosci. Remote Sens. 37, 917–926 (1999).

[CrossRef]

Q. H. Liu, “A frequency-dependent PSTD algorithm for general dispersive media,” IEEE Microwave Guid. Wave Lett. 9, 51–53 (1999).

[CrossRef]

Q. H. Liu, “An accurate algorithm for nonuniform fast Fourier transforms,” IEEE Microwave Guid. Wave Lett. 8, 18–20 (1998).

[CrossRef]

Q. H. Liu, “The PSTD algorithm: a time-domain method requiring only two cells per wavelength,” Microwave Opt. Technol. Lett. 15, 158–165 (1997).

[CrossRef]

Q. H. Liu, “A spectral-domain method with perfectly matched layers for time-domain solutions of Maxwell’s equations,” presented at the 1996 URSI Meeting, Baltimore, Md., July 1996.

J. S. Hesthaven, P. G. Dinesen, J. P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

X. Gao, D. W. Prather, M. S. Mirotznik, “A method for introducing soft sources in the PSTD algorithm,” IEEE Trans. Antenna Propag. (to be published).

N. Nguyen, Q. H. Liu, “The regular Fourier matrices and non-uniform fast Fourier transforms,” SIAM J. Sci. Comput. 21, 283–293 (1999).

[CrossRef]

D. Gottlieb, S. A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1977).

X. Gao, D. W. Prather, M. S. Mirotznik, “A method for introducing soft sources in the PSTD algorithm,” IEEE Trans. Antenna Propag. (to be published).

C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987).

A. Dutt, V. Rokhlin, “Fast Fourier transforms for nonequi-spaced data,” SIAM J. Sci. Comput. 14, 1368–1393 (1993).

[CrossRef]

A. Taflove, S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

Q. H. Liu, X. M. Xu, B. Tian, Z. Q. Zhang, “Applications of nonuniform fast transform algorithms in numerical solutions of differential and integral equations,” IEEE Trans. Geosci. Remote Sens. 38, 1551–1560 (2000).

[CrossRef]

B. Tian, Q. H. Liu, “Nonuniform fast cosine transform and Chebyshev PSTD algorithms,” Prog. Electromagn. Res. 28, 253–273 (2000).

[CrossRef]

J. W. Cooley, J. W. Tukey, “Algorithm for the machine computation of complex Fourier series,” Math. Comput. 19, 297–301 (1965).

[CrossRef]

A. Bayliss, E. Turkel, “Mappings and accuracy for Chebyshev pseudo-spectral methods,” J. Comput. Phys. 101, 342–359 (1992).

[CrossRef]

Q. H. Liu, X. M. Xu, B. Tian, Z. Q. Zhang, “Applications of nonuniform fast transform algorithms in numerical solutions of differential and integral equations,” IEEE Trans. Geosci. Remote Sens. 38, 1551–1560 (2000).

[CrossRef]

C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987).

Q. H. Liu, X. M. Xu, B. Tian, Z. Q. Zhang, “Applications of nonuniform fast transform algorithms in numerical solutions of differential and integral equations,” IEEE Trans. Geosci. Remote Sens. 38, 1551–1560 (2000).

[CrossRef]

Q. H. Liu, “PML and PSTD algorithm for arbitrary lossy anisotropic media,” IEEE Microwave Guid. Wave Lett. 9, 48–50 (1999).

[CrossRef]

Q. H. Liu, “A frequency-dependent PSTD algorithm for general dispersive media,” IEEE Microwave Guid. Wave Lett. 9, 51–53 (1999).

[CrossRef]

Q. H. Liu, “An accurate algorithm for nonuniform fast Fourier transforms,” IEEE Microwave Guid. Wave Lett. 8, 18–20 (1998).

[CrossRef]

Q. H. Liu, “Large-scale simulations of electromagnetic and acoustic measurements using the pseudospectral time-domain (PSTD) algorithm,” IEEE Trans. Geosci. Remote Sens. 37, 917–926 (1999).

[CrossRef]

Q. H. Liu, X. M. Xu, B. Tian, Z. Q. Zhang, “Applications of nonuniform fast transform algorithms in numerical solutions of differential and integral equations,” IEEE Trans. Geosci. Remote Sens. 38, 1551–1560 (2000).

[CrossRef]

G. X. Fan, Q. H. Liu, “FDTD and PSTD simulations for plasma applications,” IEEE Trans. Plasma Sci. 29, 341–348 (2001).

[CrossRef]

J. S. Hesthaven, P. G. Dinesen, J. P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).

[CrossRef]

A. Bayliss, E. Turkel, “Mappings and accuracy for Chebyshev pseudo-spectral methods,” J. Comput. Phys. 101, 342–359 (1992).

[CrossRef]

J. W. Cooley, J. W. Tukey, “Algorithm for the machine computation of complex Fourier series,” Math. Comput. 19, 297–301 (1965).

[CrossRef]

W. K. Leung, Y. C. Chen, “Transformed-spaced nonuniform pseudospectral time-domain algorithm,” Microwave Opt. Technol. Lett. 28, 391–396 (2001).

[CrossRef]

Q. L. Li, Y. C. Chen, D. Ge, “Comparison study of the PSTD and FDTD methods for scattering analysis,” Microwave Opt. Technol. Lett. 25, 220–226 (2000).

[CrossRef]

Y. F. Leung, C. H. Chan, “Pseudospectral time-domain (PSTD) method with unsplit-field PML,” Microwave Opt. Technol. Lett. 22, 278–283 (1999).

[CrossRef]

Q. H. Liu, “The PSTD algorithm: a time-domain method requiring only two cells per wavelength,” Microwave Opt. Technol. Lett. 15, 158–165 (1997).

[CrossRef]

B. Tian, Q. H. Liu, “Nonuniform fast cosine transform and Chebyshev PSTD algorithms,” Prog. Electromagn. Res. 28, 253–273 (2000).

[CrossRef]

A. Dutt, V. Rokhlin, “Fast Fourier transforms for nonequi-spaced data,” SIAM J. Sci. Comput. 14, 1368–1393 (1993).

[CrossRef]

N. Nguyen, Q. H. Liu, “The regular Fourier matrices and non-uniform fast Fourier transforms,” SIAM J. Sci. Comput. 21, 283–293 (1999).

[CrossRef]

C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987).

A. Taflove, S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

X. Gao, “Design, fabrication and characterization of small diffractive optical elements,” M.S. thesis (University of Delaware, Newark, Delaware, 2000).

B. Yang, D. Gottlieb, J. S. Hesthaven, “On the use of PML ABC’s in spectral time-domain simulations of electromagnetic scattering,” in Proceedings of the ACES 13th Annual Review of Progress in Applied Computational Electromagnetics (Applied Computational Electromagnetics Society, http://aces.ee.olemiss.edu , 1997), pp. 926–933.

D. Gottlieb, S. A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1977).

J. P. Boyd, Chebyshev and Fourier Spectral Methods, 2nd ed. (Dover, Mineola, New York, 2001).

A. V. Kabakian, “A spectral algorithm for electromagnetic wave scattering in the time domain application to RCS computation,” in Proceedings of the 27th AIAA Plasmadynamics and Lasers Conference (American Institute of Aeronautics and Astronautics, www.aiaa.org , 1996), Paper 96-2334.

Q. H. Liu, “A spectral-domain method with perfectly matched layers for time-domain solutions of Maxwell’s equations,” presented at the 1996 URSI Meeting, Baltimore, Md., July 1996.

X. Gao, D. W. Prather, M. S. Mirotznik, “A method for introducing soft sources in the PSTD algorithm,” IEEE Trans. Antenna Propag. (to be published).