K.-Y. Jung, F. L. Teixeira, S. G. Garcia, R. Lee, "On numerical artifacts of the complex envelope
ADI-FDTD method," IEEE Trans. Antennas Propagat. 57, 491-498 (2009).

B. Donderici, F. L. Teixeira, "Mixed finite-element time-domain
method for transient Maxwell equations in doubly dispersive media," IEEE Trans. Microw. Theory Tech. 56, 113-120 (2008).

J. Shibayama, R. Takahashi, J. Yamauchi, H. Nakano, "Frequency-dependent locally
one-dimensional FDTD implementation with a combined dispersion model for the
analysis of surface plasmon waveguides," IEEE Photon. Technol. Lett. 20, 824-826 (2008).

K.-Y. Jung, F. L. Teixeira, "An iterative unconditionally
stable LOD-FDTD method," IEEE Microw. Wireless
Compon. Lett. 18, 76-78 (2008).

E. L. Tan, "Unconditionally stable LOD-FDTD
method for 3-D Maxwell's equations," IEEE Microw.
Wireless Compon. Lett. 17, 85-87 (2007).

Y. Zhao, P. Belov, Y. Hao, "Accurate modelling of left-handed metamaterials using a
finite-difference time-domain method with spatial averaging at the boundaries," Phys. Rev. E 75, 037602 (2007).

K.-Y. Jung, F. L. Teixeira, R. M. Reano, "${\rm Au}/{\rm SiO}_{2}$ nanoring plasmon
waveguides at optical communication band," J.
Lightw. Technol. 25, 2757-2765 (2007).

N. V. Kantartzis, D. L. Sounas, C. S. Antonopoulos, T. D. Tsiboukis, "A wideband ADI-FDTD algorithm
for the design of double negative metamaterial-based waveguides and antenna
substrates," IEEE Trans. Magn. 43, 1329-1332 (2007).

K.-Y. Jung, F. L. Teixeira, "Multispecies ADI-FDTD algorithm
for nanoscale three-dimensional photonic metallic structures," IEEE Photon. Technol. Lett. 19, 586-588 (2007).

Y. Zhao, P. Belov, Y. Hao, "Accurate modeling of the optical properties of left-handed
media using a finite-difference time-domain method," Phys.
Rev. E 75, 037602 (2007).

D. L. Sounas, N. V. Kantartzis, T. D. Tsiboukis, "Temporal characteristics of
resonant surface polaritons in superlensing planar double-negative slabs:
Development of analytical schemes and numerical models," Phys. Rev. E 76, 046606 (2007).

D.-H. Kwon, L. Li, J. A. Bossard, M. G. Bray, D. H. Werner, "Zero index metamaterials with checkerboard
structure," Electron. Lett. 43, 9-10 (2007).

R. W. Ziolkowski, "Metamaterial based source and
scattering enhancements: From microwave to optical frequencies," Opto-Electron. Rev. 14, 167-177 (2006).

M. Silveirinha, N. Engheta, "Tunneling of electromagnetic
energy through subwavelength channels and bends using $\varepsilon $-near-zero materials," Phys. Rev. Lett. 97, 157403 (2006).

X. Huang, L. Zhou, C. T. Chan, "Modulating image oscillations in focusing
by a metamaterial lens: Time-dependent Green's function approach," Phys. Rev. B 74, 045123 (2006).

V. E. do Nascimento, B.-H. V. Borges, F. L. Teixeira, "Split-field PML implementations
for the unconditionally stable LOD-FDTD method," IEEE
Microw. Wireless Comp. Lett. 16, 398-400 (2006).

J. Shibayama, R. Takahashi, J. Yamauchi, H. Nakano, "Frequency-dependent LOD-FDTD
implementations for dispersive media," Electron.
Lett. 42, 1084-1085 (2006).

J. Shibayama, M. Muraki, R. Takahashi, J. Yamauchi, H. Nakano, "Performance evaluation of several
implicit FDTD methods for optical waveguide analyses," J.
Lightw. Technol. 24, 2465-2472 (2006).

J. J. Chen, T. M. Grzegorczyk, B. I. Wu, J. A. Kong, "Limitation o FDTD in simulation of a perfect
lens imaging system," Opt. Exp. 13, 10840-10845 (2005).

J. Shibayama, M. Muraki, J. Yamauchi, H. Nakano, "Efficient implict FDTD algorithm
based on locally one-dimensional scheme," Electron.
Lett. 41, 1046-1047 (2005).

N. Engheta, R. W. Ziolkowski, "A positive future for double-negative
metamaterials," IEEE Trans. Microw. Theory Tech. 53, 1535-1556 (2005).

B. Donderici, F. L. Teixeira, "Symmetric source implementation
for the ADI-FDTD method," IEEE Trans. Antennas
Propag. 53, 1562-1565 (2005).

S. Wang, F. L. Teixeira, J. Chen, "An iterative ADI-FDTD with reduced splitting
error," IEEE Microw. Wireless Comp. Lett. 15, 92-94 (2005).

J. Lee, B. Fornberg, "Some unconditionally stable
time stepping methods for the 3-D Maxwell's equations," J.
Comput. Appl. Math. 166, 497-523 (2004).

W. Fu, E. L. Tan, "Development of split-step FDTD
method with higher-order spatial accuracy," Electron.
Lett. 40, 1252-1254 (2004).

R. W. Ziolkowski, "Propagation in and scattering
from a matched metamaterial having a zero index of refraction," Phys. Rev. E 70, 046608 (2004).

S. Wang, F. L. Teixeira, "An efficient PML implementation
for the ADI-FDTD method," IEEE Microw. Wireless
Compon. Lett. 13, 72-74 (2003).

S. Ju, H. Kim, H.-H. Kim, "A study of the numerical dispersion relation
for the 2-D ADI-FDTD method," IEEE Microw. Wireless
Compon. Lett. 13, 405-407 (2003).

J. Lee, B. Fornberg, "A split step approach for the
3-D Maxwell's equations," J. Comput. Appl. Math. 158, 484-505 (2003).

S. G. Garcia, T. W. Lee, S. C. Hagness, "On the accuracy of the ADI-FDTD
method," IEEE Antennas Wireless Propag. Lett. 1, 31-34 (2002).

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).

R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, S. Schultz, "Microwave transmission through
a two-dimensional, isotropic, left-handed metamaterial," Appl. Phys. Lett. 78, 489-491 (2001).

R. W. Ziolkowski, E. Heyman, "Wave propagation in media having
negative permittivity and permeability," Phys.
Rev. E 64, 1-15 (2001).

J. B. Pendry, "Negative refraction makes a
perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, S. Schultz, "Composite medium with simultaneously
negative permeability and permittivity," Phys.
Rev. Lett. 84, 4184-4187 (2000).

J. B. Pendry, A. J. Holden, D. J. Robbins, W. J. Stewart, "Magnetism from conductors and
enhanced nonlinear phenomena," IEEE Trans. Microw.
Theory Tech. 47, 2075-2084 (1999).

T. Namiki, "A new FDTD algorithm based
on alternating-direction implicit method," IEEE
Trans. Microw. Theory Tech. 47, 2003-2007 (1999).

F. Zheng, Z. Chen, J. Zhang, "A finite-difference time-domain method without the Courant
stability conditions," IEEE Microw. Guided Wave
Lett. 9, 441-443 (1999).

A. Taflove, M. E. Brodwin, "Numerical solution of steady-state
electromagnetic scattering problems using the time-dependent Maxwell's equations," IEEE Trans. Microw. Theory Tech. 23, 623-630 (1975).

V. G. Veselago, "The electrodynamics of substances
with simultaneously negative values of $\varepsilon $ and $\mu $," Sov.
Phys. Usp. 10, 509-514 (1968).

K. Yee, "Numerical solution of initial
boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag. 14, 302-307 (1966).

W. Rotman, "Plasma simulation by artificial
dielectrics and parallel-plate media," IRE Trans.
Antennas Propag. AP-10, 82-95 (1962).

R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, S. Schultz, "Microwave transmission through
a two-dimensional, isotropic, left-handed metamaterial," Appl. Phys. Lett. 78, 489-491 (2001).

J. Shibayama, M. Muraki, J. Yamauchi, H. Nakano, "Efficient implict FDTD algorithm
based on locally one-dimensional scheme," Electron.
Lett. 41, 1046-1047 (2005).

J. Shibayama, R. Takahashi, J. Yamauchi, H. Nakano, "Frequency-dependent LOD-FDTD
implementations for dispersive media," Electron.
Lett. 42, 1084-1085 (2006).

W. Fu, E. L. Tan, "Development of split-step FDTD
method with higher-order spatial accuracy," Electron.
Lett. 40, 1252-1254 (2004).

D.-H. Kwon, L. Li, J. A. Bossard, M. G. Bray, D. H. Werner, "Zero index metamaterials with checkerboard
structure," Electron. Lett. 43, 9-10 (2007).

V. E. do Nascimento, B.-H. V. Borges, F. L. Teixeira, "Split-field PML implementations
for the unconditionally stable LOD-FDTD method," IEEE
Microw. Wireless Comp. Lett. 16, 398-400 (2006).

T. Namiki, "A new FDTD algorithm based
on alternating-direction implicit method," IEEE
Trans. Microw. Theory Tech. 47, 2003-2007 (1999).

S. G. Garcia, T. W. Lee, S. C. Hagness, "On the accuracy of the ADI-FDTD
method," IEEE Antennas Wireless Propag. Lett. 1, 31-34 (2002).

E. L. Tan, "Unconditionally stable LOD-FDTD
method for 3-D Maxwell's equations," IEEE Microw.
Wireless Compon. Lett. 17, 85-87 (2007).

F. Zheng, Z. Chen, J. Zhang, "A finite-difference time-domain method without the Courant
stability conditions," IEEE Microw. Guided Wave
Lett. 9, 441-443 (1999).

K.-Y. Jung, F. L. Teixeira, "An iterative unconditionally
stable LOD-FDTD method," IEEE Microw. Wireless
Compon. Lett. 18, 76-78 (2008).

S. Wang, F. L. Teixeira, "An efficient PML implementation
for the ADI-FDTD method," IEEE Microw. Wireless
Compon. Lett. 13, 72-74 (2003).

S. Ju, H. Kim, H.-H. Kim, "A study of the numerical dispersion relation
for the 2-D ADI-FDTD method," IEEE Microw. Wireless
Compon. Lett. 13, 405-407 (2003).

S. Wang, F. L. Teixeira, J. Chen, "An iterative ADI-FDTD with reduced splitting
error," IEEE Microw. Wireless Comp. Lett. 15, 92-94 (2005).

K.-Y. Jung, F. L. Teixeira, "Multispecies ADI-FDTD algorithm
for nanoscale three-dimensional photonic metallic structures," IEEE Photon. Technol. Lett. 19, 586-588 (2007).

J. Shibayama, R. Takahashi, J. Yamauchi, H. Nakano, "Frequency-dependent locally
one-dimensional FDTD implementation with a combined dispersion model for the
analysis of surface plasmon waveguides," IEEE Photon. Technol. Lett. 20, 824-826 (2008).

B. Donderici, F. L. Teixeira, "Symmetric source implementation
for the ADI-FDTD method," IEEE Trans. Antennas
Propag. 53, 1562-1565 (2005).

K. Yee, "Numerical solution of initial
boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag. 14, 302-307 (1966).

K.-Y. Jung, F. L. Teixeira, S. G. Garcia, R. Lee, "On numerical artifacts of the complex envelope
ADI-FDTD method," IEEE Trans. Antennas Propagat. 57, 491-498 (2009).

N. V. Kantartzis, D. L. Sounas, C. S. Antonopoulos, T. D. Tsiboukis, "A wideband ADI-FDTD algorithm
for the design of double negative metamaterial-based waveguides and antenna
substrates," IEEE Trans. Magn. 43, 1329-1332 (2007).

J. B. Pendry, A. J. Holden, D. J. Robbins, W. J. Stewart, "Magnetism from conductors and
enhanced nonlinear phenomena," IEEE Trans. Microw.
Theory Tech. 47, 2075-2084 (1999).

B. Donderici, F. L. Teixeira, "Mixed finite-element time-domain
method for transient Maxwell equations in doubly dispersive media," IEEE Trans. Microw. Theory Tech. 56, 113-120 (2008).

A. Taflove, M. E. Brodwin, "Numerical solution of steady-state
electromagnetic scattering problems using the time-dependent Maxwell's equations," IEEE Trans. Microw. Theory Tech. 23, 623-630 (1975).

N. Engheta, R. W. Ziolkowski, "A positive future for double-negative
metamaterials," IEEE Trans. Microw. Theory Tech. 53, 1535-1556 (2005).

W. Rotman, "Plasma simulation by artificial
dielectrics and parallel-plate media," IRE Trans.
Antennas Propag. AP-10, 82-95 (1962).

J. Lee, B. Fornberg, "Some unconditionally stable
time stepping methods for the 3-D Maxwell's equations," J.
Comput. Appl. Math. 166, 497-523 (2004).

J. Shibayama, M. Muraki, R. Takahashi, J. Yamauchi, H. Nakano, "Performance evaluation of several
implicit FDTD methods for optical waveguide analyses," J.
Lightw. Technol. 24, 2465-2472 (2006).

K.-Y. Jung, F. L. Teixeira, R. M. Reano, "${\rm Au}/{\rm SiO}_{2}$ nanoring plasmon
waveguides at optical communication band," J.
Lightw. Technol. 25, 2757-2765 (2007).

J. Lee, B. Fornberg, "A split step approach for the
3-D Maxwell's equations," J. Comput. Appl. Math. 158, 484-505 (2003).

J. J. Chen, T. M. Grzegorczyk, B. I. Wu, J. A. Kong, "Limitation o FDTD in simulation of a perfect
lens imaging system," Opt. Exp. 13, 10840-10845 (2005).

R. W. Ziolkowski, "Metamaterial based source and
scattering enhancements: From microwave to optical frequencies," Opto-Electron. Rev. 14, 167-177 (2006).

R. W. Ziolkowski, E. Heyman, "Wave propagation in media having
negative permittivity and permeability," Phys.
Rev. E 64, 1-15 (2001).

Y. Zhao, P. Belov, Y. Hao, "Accurate modeling of the optical properties of left-handed
media using a finite-difference time-domain method," Phys.
Rev. E 75, 037602 (2007).

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, S. Schultz, "Composite medium with simultaneously
negative permeability and permittivity," Phys.
Rev. Lett. 84, 4184-4187 (2000).

X. Huang, L. Zhou, C. T. Chan, "Modulating image oscillations in focusing
by a metamaterial lens: Time-dependent Green's function approach," Phys. Rev. B 74, 045123 (2006).

R. W. Ziolkowski, "Propagation in and scattering
from a matched metamaterial having a zero index of refraction," Phys. Rev. E 70, 046608 (2004).

D. L. Sounas, N. V. Kantartzis, T. D. Tsiboukis, "Temporal characteristics of
resonant surface polaritons in superlensing planar double-negative slabs:
Development of analytical schemes and numerical models," Phys. Rev. E 76, 046606 (2007).

Y. Zhao, P. Belov, Y. Hao, "Accurate modelling of left-handed metamaterials using a
finite-difference time-domain method with spatial averaging at the boundaries," Phys. Rev. E 75, 037602 (2007).

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).

M. Silveirinha, N. Engheta, "Tunneling of electromagnetic
energy through subwavelength channels and bends using $\varepsilon $-near-zero materials," Phys. Rev. Lett. 97, 157403 (2006).

J. B. Pendry, "Negative refraction makes a
perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).

V. G. Veselago, "The electrodynamics of substances
with simultaneously negative values of $\varepsilon $ and $\mu $," Sov.
Phys. Usp. 10, 509-514 (1968).

A. Taflove, S. C. Hagness, Computational Electrodynamics:
The Finite-Difference Time-Domain Method (Artech
House, 2005).

N. V. Kantartzis, T. D. Tsiboukis, "Rigorous ADI-FDTD analysis
of left-handed materials in optimally-designed EMC applications," presented at the XII Int. Symp. Electromagnetic Fields in Mechatronics,
Electrical and Electronic Engineering (2005).

D. Correia, J. M. Jin, "Theoretical analysis of left-handed
metamaterials using FDTD-PML method," Proc.
SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (2003) pp. 1033-1036.

V. E. do Nascimento, J. A. Cuminato, F. L. Teixeira, B.-H. V. Borges, "Unconditionally stable finite-difference
time-domain method based on the locally-one-dimensional technique," Proc. XXII Simpósio Brasileiro de Telecomunicações (2005) pp. 288-291.