Y.-P. Chiou, C.-H. Du, "Arbitrary-order interface conditions for
slab structures and their applications in waveguide analysis," Opt. Exp. 18, 4088-4102 (2010).

C.-H. Lai, B. You, J.-Y. Lu, T.-A. Liu, J.-L. Peng, C.-K. Sun, H.-C. Chang, "Modal characteristics of antiresonant reflecting pipe waveguides
for terahertz waveguiding," Opt. Exp. 18, 309-322 (2010).

D. Chen, H. Chen, "A novel low-loss terahertz waveguide: Polymer
tube," Opt. Exp. 18, 3762-3767 (2010).

C.-H. Lai, Y.-C. Hsueh, H.-W. Chen, Y.-J. Huang, H.-C. Chang, C.-K. Sun, "Low-index terahertz pipe waveguides," Opt. Lett. 34, 3457-3459 (2009).

Y.-P. Chiou, Y.-C. Chiang, C.-H. Lai, C.-H. Du, H.-C. Chang, "Finite-difference modeling of dielectric
waveguides with corners and slanted facets," J.
Lightw. Technol. 27, 2077-2086 (2009).

Y.-C. Chiang, Y.-P. Chiou, H.-C. Chang, "Finite-difference frequency
domain analysis of 2-D photonic crytals with curved dielectric interfaces," J. Lightw. Technol. 26, 971-976 (2008).

Y.-C. Lu, L. Yang, W.-P. Huang, S.-S. Jian, "Improved full-vector finite-difference complex
mode solver for optical waveguides of circular symmetry," J. Lightw. Technol. 26, 1868-1876 (2008).

J. G. Wykes, P. Sewell, A. Vukovic, T. M. Benson, "Subsampling of fine features
in finite-difference frequency-domain simulations," Microw.
Opt. Technol. Lett. 44, 95-101 (2005).

H. A. Jamid, "Enhanced PML performance using
higher order approximation," IEEE Trans. Microw.
Theory Tech. 52, 1166-1174 (2004).

T. Davis, "Algorithm 832: UMFPACK, an
unsymmetric-pattern multifrontal method," ACM
Trans. Math. Softw. 30, 196-199 (2004) http://www.cise.ufl.edu/research/sparse/umfpack/.

C.-P. Yu, H.-C. Chang, "Yee-mesh-based finite difference
eigenmode solver with PML absorbing boundary conditions for optical waveguides
and photonic crystal fibers," Opt. Exp. 12, 6165-6177 (2004).

K. Wang, D. M. Mittleman, "Metal wires for terahertz wave
guiding," Nature 432, 376-379 (2004).

Y.-C. Chiang, Y.-P. Chiou, H.-C. Chang, "Improved full-vectorial finite-difference
mode solver for optical waveguides with step-index profiles," J. Lightw. Technol. 20, 1609-1618 (2002).

T. Ando, H. Nakayama, S. Numata, J. Yamauchi, H. Nakano, "Eigenmode analysis of optical
waveguides by a Yee-mesh-based imaginary-distance propagation method for an
arbitrary dielectric interface," J. Lightw.
Technol. 20, 1627-1634 (2002).

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. Martijn de Sterke, L. C. Botten, "Multipole method for microstructured
optical fibers—I: Formulation," J. Opt.
Soc. Amer. B 19, 2322-2330 (2002).

K. Saitoh, M. Koshiba, "Full-vectorial imaginary-distance
beam propagation method based on a finite element scheme: Application to photonic
crystal fibers," IEEE J. Quantum Electron. 38, 927-933 (2002).

G. Gallot, S. P. Jamison, R. W. McGowan, D. Grischkowsky, "Terahertz waveguides," J. Opt. Soc. Amer. B 17, 851-862 (2000).

Y.-P. Chiou, Y.-C. Chiang, H.-C. Chang, "Improved three-point formulas
considering the interface conditions in the finite-difference analysis of
step-index optical devices," J. Lightw. Technol. 18, 243-251 (2000).

R. Mendis, D. Grischkowsky, "Plastic ribbon THz waveguides," J. Appl. Phys. 88, 4449-4451 (2000).

J. Yamauchi, M. Sekiguchi, O. Uchiyama, J. Shibayama, H. Nakano, "Modified finite-difference
formula for the analysis of semivectorial modes in step-index optical waveguides," IEEE Photon. Technol. Lett. 9, 961-963 (1997).

C. L. Xu, W. P. Huang, M. S. Stern, S. K. Chaudhuri, "Full-vectorial mode calculations
by finite difference method," Inst. Elect. Eng.
Proc. J. 141, 281-286 (1994).

C. Vassallo, "Improvement of finite difference
methods for step-index optical waveguides," Inst.
Elect. Eng. Proc. J. 139, 137-142 (1992).

M. S. Stern, "Semivectorial polarised finite
difference method for optical waveguides with arbitrary index profiles," Inst. Elect. Eng. Proc. J. 135, 56-63 (1988).

T. Davis, "Algorithm 832: UMFPACK, an
unsymmetric-pattern multifrontal method," ACM
Trans. Math. Softw. 30, 196-199 (2004) http://www.cise.ufl.edu/research/sparse/umfpack/.

K. Saitoh, M. Koshiba, "Full-vectorial imaginary-distance
beam propagation method based on a finite element scheme: Application to photonic
crystal fibers," IEEE J. Quantum Electron. 38, 927-933 (2002).

J. Yamauchi, M. Sekiguchi, O. Uchiyama, J. Shibayama, H. Nakano, "Modified finite-difference
formula for the analysis of semivectorial modes in step-index optical waveguides," IEEE Photon. Technol. Lett. 9, 961-963 (1997).

H. A. Jamid, "Enhanced PML performance using
higher order approximation," IEEE Trans. Microw.
Theory Tech. 52, 1166-1174 (2004).

C. Vassallo, "Improvement of finite difference
methods for step-index optical waveguides," Inst.
Elect. Eng. Proc. J. 139, 137-142 (1992).

C. L. Xu, W. P. Huang, M. S. Stern, S. K. Chaudhuri, "Full-vectorial mode calculations
by finite difference method," Inst. Elect. Eng.
Proc. J. 141, 281-286 (1994).

M. S. Stern, "Semivectorial polarised finite
difference method for optical waveguides with arbitrary index profiles," Inst. Elect. Eng. Proc. J. 135, 56-63 (1988).

Y.-P. Chiou, Y.-C. Chiang, C.-H. Lai, C.-H. Du, H.-C. Chang, "Finite-difference modeling of dielectric
waveguides with corners and slanted facets," J.
Lightw. Technol. 27, 2077-2086 (2009).

R. Mendis, D. Grischkowsky, "Plastic ribbon THz waveguides," J. Appl. Phys. 88, 4449-4451 (2000).

T. Ando, H. Nakayama, S. Numata, J. Yamauchi, H. Nakano, "Eigenmode analysis of optical
waveguides by a Yee-mesh-based imaginary-distance propagation method for an
arbitrary dielectric interface," J. Lightw.
Technol. 20, 1627-1634 (2002).

Y.-C. Chiang, Y.-P. Chiou, H.-C. Chang, "Improved full-vectorial finite-difference
mode solver for optical waveguides with step-index profiles," J. Lightw. Technol. 20, 1609-1618 (2002).

Y.-P. Chiou, Y.-C. Chiang, H.-C. Chang, "Improved three-point formulas
considering the interface conditions in the finite-difference analysis of
step-index optical devices," J. Lightw. Technol. 18, 243-251 (2000).

Y.-C. Chiang, Y.-P. Chiou, H.-C. Chang, "Finite-difference frequency
domain analysis of 2-D photonic crytals with curved dielectric interfaces," J. Lightw. Technol. 26, 971-976 (2008).

Y.-C. Lu, L. Yang, W.-P. Huang, S.-S. Jian, "Improved full-vector finite-difference complex
mode solver for optical waveguides of circular symmetry," J. Lightw. Technol. 26, 1868-1876 (2008).

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. Martijn de Sterke, L. C. Botten, "Multipole method for microstructured
optical fibers—I: Formulation," J. Opt.
Soc. Amer. B 19, 2322-2330 (2002).

G. Gallot, S. P. Jamison, R. W. McGowan, D. Grischkowsky, "Terahertz waveguides," J. Opt. Soc. Amer. B 17, 851-862 (2000).

J. G. Wykes, P. Sewell, A. Vukovic, T. M. Benson, "Subsampling of fine features
in finite-difference frequency-domain simulations," Microw.
Opt. Technol. Lett. 44, 95-101 (2005).

K. Wang, D. M. Mittleman, "Metal wires for terahertz wave
guiding," Nature 432, 376-379 (2004).

C.-H. Lai, B. You, J.-Y. Lu, T.-A. Liu, J.-L. Peng, C.-K. Sun, H.-C. Chang, "Modal characteristics of antiresonant reflecting pipe waveguides
for terahertz waveguiding," Opt. Exp. 18, 309-322 (2010).

D. Chen, H. Chen, "A novel low-loss terahertz waveguide: Polymer
tube," Opt. Exp. 18, 3762-3767 (2010).

Y.-P. Chiou, C.-H. Du, "Arbitrary-order interface conditions for
slab structures and their applications in waveguide analysis," Opt. Exp. 18, 4088-4102 (2010).

C.-P. Yu, H.-C. Chang, "Yee-mesh-based finite difference
eigenmode solver with PML absorbing boundary conditions for optical waveguides
and photonic crystal fibers," Opt. Exp. 12, 6165-6177 (2004).

R. B. Lehoucq, D. C. Sorensen, C. Yang, ARPACK Users' Guide: Solution of Large-Scale
Eigenvalue Problems With Implicitly Restarted Arnoldi Methods (SIAM, 1998).