Chia-Chien Huang and Chia-Chih Huang, "A novel wide-angle beam propagation method based on the spectral collocation scheme for computing tilted waveguides," IEEE Photon. Technol. Lett. 17, 1872-1874 (2005).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

P. Bienstman and R. Baets, "Advanced boundary conditions for eigenmode expansion models," Opt. Quantum Electron. 34, 523-540 (2002).

[CrossRef]

T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).

P. Sewell, T. M. Benson, S. Sujecki, and P. C. Kendall, "The dispersion characteristics of oblique coordinate beam propagation algorithms," J. Lightwave Technol. 17, 514-518 (1999).

[CrossRef]

J. Shibayama, K. Matsubara, M. Sekiguchi, J. Yamauchi, and H. Nakano, "Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods," J. Lightwave Technol. 17, 677-683 (1999).

[CrossRef]

Y. Y. Lu, "A complex coefficient rational approximation of 1+x," Appl. Numer. Math. 27, 141-154 (1998).

[CrossRef]

P. Sewell, T. M. Benson, T. Anada, and P. C. Kendall, "Bi-oblique propagation analysis of symmetric and asymmetric Y-junctions," J. Lightwave Technol. 15, 688-696 (1997).

[CrossRef]

E. Ahlers and R. Pregla, "3-D modelling of concatenations of straight and curved waveguides by MoL-BPM," Opt. Quantum Electron. 29, 151-156 (1997).

[CrossRef]

C.-T. Lee, M.-L. Wu, L.-G. Sheu, P.-L. Fan, and J.-M. Hsu, "Design and analysis of completely adiabatic tapered waveguides by conformal mapping," J. Lightwave Technol. 15, 403-410 (1997).

[CrossRef]

P. Sewell, T. Anada, T. M. Benson, and P. C. Kendall, "Non-standard beam propagation," Microwave Opt. Technol. Lett. 13, 24-26 (1996).

[CrossRef]

I. Ilic, R. Scarmozzino, and R. M. Osgood, "Investigation of the Padé approximant-based wide-angle beam propagation method for accurate modelling of waveguiding circuits," J. Lightwave Technol. 14, 2813-2822 (1996).

[CrossRef]

C. Vassallo, "Limitations of the wide angle beam propagation method in nonuniform systems," J. Opt. Soc. Am. A 13, 761-770 (1996).

[CrossRef]

J. Yamauchi, J. Shibayama, and H. Nakano, "Finite-difference beam propagation method using the oblique coordinate system," Electron. Commun. Jpn., Part 2: Electron. 78, 20-26 (1995).

[CrossRef]

D. Schultz, C. Glingener, and E. Voges, "Novel generalised finite-difference beam propagation method," IEEE J. Quantum Electron. 30, 1132-1140 (1994).

[CrossRef]

F. Schmidt, "An adaptive approach to the numerical solution of Fresnel's wave equation," J. Lightwave Technol. 11, 1425-1434 (1993).

[CrossRef]

G. R. Hadley, "Wide-angle beam propagation using Padé approximant operators," Opt. Lett. 17, 1426-1428 (1992).

[CrossRef]
[PubMed]

H. J. W. M. Hoekstra, G. J. M. Krijnen, and P. V. Lambeck, "On the accuracy of the finite difference method for applications in beam propagating techniques," Opt. Commun. 94, 506-508 (1992).

[CrossRef]

G. R. Hadley, "Multistep method for wide-angle beam propagation," Opt. Lett. 17, 1743-1745 (1992).

[CrossRef]
[PubMed]

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge U. Press, 1992).

A. Splett, M. Majd, and K. Petermann, "A novel beam propagation method for large refractive index steps and large propagation distances," IEEE Photon. Technol. Lett. 3, 466-468 (1991).

[CrossRef]

Y. Chung and N. Dagli, "An assessment of finite difference beam propagation method," IEEE J. Quantum Electron. 26, 1335-1339 (1990).

[CrossRef]

E. Ahlers and R. Pregla, "3-D modelling of concatenations of straight and curved waveguides by MoL-BPM," Opt. Quantum Electron. 29, 151-156 (1997).

[CrossRef]

T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).

P. Sewell, T. M. Benson, T. Anada, and P. C. Kendall, "Bi-oblique propagation analysis of symmetric and asymmetric Y-junctions," J. Lightwave Technol. 15, 688-696 (1997).

[CrossRef]

P. Sewell, T. Anada, T. M. Benson, and P. C. Kendall, "Non-standard beam propagation," Microwave Opt. Technol. Lett. 13, 24-26 (1996).

[CrossRef]

P. Bienstman and R. Baets, "Advanced boundary conditions for eigenmode expansion models," Opt. Quantum Electron. 34, 523-540 (2002).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

P. Sewell, T. M. Benson, S. Sujecki, and P. C. Kendall, "The dispersion characteristics of oblique coordinate beam propagation algorithms," J. Lightwave Technol. 17, 514-518 (1999).

[CrossRef]

T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).

P. Sewell, T. M. Benson, T. Anada, and P. C. Kendall, "Bi-oblique propagation analysis of symmetric and asymmetric Y-junctions," J. Lightwave Technol. 15, 688-696 (1997).

[CrossRef]

P. Sewell, T. Anada, T. M. Benson, and P. C. Kendall, "Non-standard beam propagation," Microwave Opt. Technol. Lett. 13, 24-26 (1996).

[CrossRef]

P. Bienstman and R. Baets, "Advanced boundary conditions for eigenmode expansion models," Opt. Quantum Electron. 34, 523-540 (2002).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

Y. Chung and N. Dagli, "An assessment of finite difference beam propagation method," IEEE J. Quantum Electron. 26, 1335-1339 (1990).

[CrossRef]

Y. Chung and N. Dagli, "An assessment of finite difference beam propagation method," IEEE J. Quantum Electron. 26, 1335-1339 (1990).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

C.-T. Lee, M.-L. Wu, L.-G. Sheu, P.-L. Fan, and J.-M. Hsu, "Design and analysis of completely adiabatic tapered waveguides by conformal mapping," J. Lightwave Technol. 15, 403-410 (1997).

[CrossRef]

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge U. Press, 1992).

D. Schultz, C. Glingener, and E. Voges, "Novel generalised finite-difference beam propagation method," IEEE J. Quantum Electron. 30, 1132-1140 (1994).

[CrossRef]

T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).

H. J. W. M. Hoekstra, G. J. M. Krijnen, and P. V. Lambeck, "On the accuracy of the finite difference method for applications in beam propagating techniques," Opt. Commun. 94, 506-508 (1992).

[CrossRef]

T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).

T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).

C.-T. Lee, M.-L. Wu, L.-G. Sheu, P.-L. Fan, and J.-M. Hsu, "Design and analysis of completely adiabatic tapered waveguides by conformal mapping," J. Lightwave Technol. 15, 403-410 (1997).

[CrossRef]

Chia-Chien Huang and Chia-Chih Huang, "A novel wide-angle beam propagation method based on the spectral collocation scheme for computing tilted waveguides," IEEE Photon. Technol. Lett. 17, 1872-1874 (2005).

[CrossRef]

Chia-Chien Huang and Chia-Chih Huang, "A novel wide-angle beam propagation method based on the spectral collocation scheme for computing tilted waveguides," IEEE Photon. Technol. Lett. 17, 1872-1874 (2005).

[CrossRef]

I. Ilic, R. Scarmozzino, and R. M. Osgood, "Investigation of the Padé approximant-based wide-angle beam propagation method for accurate modelling of waveguiding circuits," J. Lightwave Technol. 14, 2813-2822 (1996).

[CrossRef]

P. Sewell, T. M. Benson, S. Sujecki, and P. C. Kendall, "The dispersion characteristics of oblique coordinate beam propagation algorithms," J. Lightwave Technol. 17, 514-518 (1999).

[CrossRef]

P. Sewell, T. M. Benson, T. Anada, and P. C. Kendall, "Bi-oblique propagation analysis of symmetric and asymmetric Y-junctions," J. Lightwave Technol. 15, 688-696 (1997).

[CrossRef]

P. Sewell, T. Anada, T. M. Benson, and P. C. Kendall, "Non-standard beam propagation," Microwave Opt. Technol. Lett. 13, 24-26 (1996).

[CrossRef]

H. J. W. M. Hoekstra, G. J. M. Krijnen, and P. V. Lambeck, "On the accuracy of the finite difference method for applications in beam propagating techniques," Opt. Commun. 94, 506-508 (1992).

[CrossRef]

H. J. W. M. Hoekstra, G. J. M. Krijnen, and P. V. Lambeck, "On the accuracy of the finite difference method for applications in beam propagating techniques," Opt. Commun. 94, 506-508 (1992).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

C.-T. Lee, M.-L. Wu, L.-G. Sheu, P.-L. Fan, and J.-M. Hsu, "Design and analysis of completely adiabatic tapered waveguides by conformal mapping," J. Lightwave Technol. 15, 403-410 (1997).

[CrossRef]

Y. Y. Lu, "A complex coefficient rational approximation of 1+x," Appl. Numer. Math. 27, 141-154 (1998).

[CrossRef]

A. Splett, M. Majd, and K. Petermann, "A novel beam propagation method for large refractive index steps and large propagation distances," IEEE Photon. Technol. Lett. 3, 466-468 (1991).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

J. Shibayama, K. Matsubara, M. Sekiguchi, J. Yamauchi, and H. Nakano, "Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods," J. Lightwave Technol. 17, 677-683 (1999).

[CrossRef]

J. Yamauchi, J. Shibayama, and H. Nakano, "Finite-difference beam propagation method using the oblique coordinate system," Electron. Commun. Jpn., Part 2: Electron. 78, 20-26 (1995).

[CrossRef]

I. Ilic, R. Scarmozzino, and R. M. Osgood, "Investigation of the Padé approximant-based wide-angle beam propagation method for accurate modelling of waveguiding circuits," J. Lightwave Technol. 14, 2813-2822 (1996).

[CrossRef]

A. Splett, M. Majd, and K. Petermann, "A novel beam propagation method for large refractive index steps and large propagation distances," IEEE Photon. Technol. Lett. 3, 466-468 (1991).

[CrossRef]

E. Ahlers and R. Pregla, "3-D modelling of concatenations of straight and curved waveguides by MoL-BPM," Opt. Quantum Electron. 29, 151-156 (1997).

[CrossRef]

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge U. Press, 1992).

I. Ilic, R. Scarmozzino, and R. M. Osgood, "Investigation of the Padé approximant-based wide-angle beam propagation method for accurate modelling of waveguiding circuits," J. Lightwave Technol. 14, 2813-2822 (1996).

[CrossRef]

F. Schmidt, "An adaptive approach to the numerical solution of Fresnel's wave equation," J. Lightwave Technol. 11, 1425-1434 (1993).

[CrossRef]

D. Schultz, C. Glingener, and E. Voges, "Novel generalised finite-difference beam propagation method," IEEE J. Quantum Electron. 30, 1132-1140 (1994).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

P. Sewell, T. M. Benson, S. Sujecki, and P. C. Kendall, "The dispersion characteristics of oblique coordinate beam propagation algorithms," J. Lightwave Technol. 17, 514-518 (1999).

[CrossRef]

T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).

P. Sewell, T. M. Benson, T. Anada, and P. C. Kendall, "Bi-oblique propagation analysis of symmetric and asymmetric Y-junctions," J. Lightwave Technol. 15, 688-696 (1997).

[CrossRef]

P. Sewell, T. Anada, T. M. Benson, and P. C. Kendall, "Non-standard beam propagation," Microwave Opt. Technol. Lett. 13, 24-26 (1996).

[CrossRef]

C.-T. Lee, M.-L. Wu, L.-G. Sheu, P.-L. Fan, and J.-M. Hsu, "Design and analysis of completely adiabatic tapered waveguides by conformal mapping," J. Lightwave Technol. 15, 403-410 (1997).

[CrossRef]

J. Shibayama, K. Matsubara, M. Sekiguchi, J. Yamauchi, and H. Nakano, "Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods," J. Lightwave Technol. 17, 677-683 (1999).

[CrossRef]

J. Yamauchi, J. Shibayama, and H. Nakano, "Finite-difference beam propagation method using the oblique coordinate system," Electron. Commun. Jpn., Part 2: Electron. 78, 20-26 (1995).

[CrossRef]

A. Splett, M. Majd, and K. Petermann, "A novel beam propagation method for large refractive index steps and large propagation distances," IEEE Photon. Technol. Lett. 3, 466-468 (1991).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

P. Sewell, T. M. Benson, S. Sujecki, and P. C. Kendall, "The dispersion characteristics of oblique coordinate beam propagation algorithms," J. Lightwave Technol. 17, 514-518 (1999).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge U. Press, 1992).

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge U. Press, 1992).

D. Schultz, C. Glingener, and E. Voges, "Novel generalised finite-difference beam propagation method," IEEE J. Quantum Electron. 30, 1132-1140 (1994).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

C.-T. Lee, M.-L. Wu, L.-G. Sheu, P.-L. Fan, and J.-M. Hsu, "Design and analysis of completely adiabatic tapered waveguides by conformal mapping," J. Lightwave Technol. 15, 403-410 (1997).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

J. Shibayama, K. Matsubara, M. Sekiguchi, J. Yamauchi, and H. Nakano, "Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods," J. Lightwave Technol. 17, 677-683 (1999).

[CrossRef]

J. Yamauchi, J. Shibayama, and H. Nakano, "Finite-difference beam propagation method using the oblique coordinate system," Electron. Commun. Jpn., Part 2: Electron. 78, 20-26 (1995).

[CrossRef]

Y. Y. Lu, "A complex coefficient rational approximation of 1+x," Appl. Numer. Math. 27, 141-154 (1998).

[CrossRef]

J. Yamauchi, J. Shibayama, and H. Nakano, "Finite-difference beam propagation method using the oblique coordinate system," Electron. Commun. Jpn., Part 2: Electron. 78, 20-26 (1995).

[CrossRef]

D. Schultz, C. Glingener, and E. Voges, "Novel generalised finite-difference beam propagation method," IEEE J. Quantum Electron. 30, 1132-1140 (1994).

[CrossRef]

Y. Chung and N. Dagli, "An assessment of finite difference beam propagation method," IEEE J. Quantum Electron. 26, 1335-1339 (1990).

[CrossRef]

S. Sujecki, L. Borruel, J. Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T. M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, "Nonlinear properties of tapered laser cavities," IEEE J. Sel. Top. Quantum Electron. 9, 823-834 (2003).

[CrossRef]

Chia-Chien Huang and Chia-Chih Huang, "A novel wide-angle beam propagation method based on the spectral collocation scheme for computing tilted waveguides," IEEE Photon. Technol. Lett. 17, 1872-1874 (2005).

[CrossRef]

A. Splett, M. Majd, and K. Petermann, "A novel beam propagation method for large refractive index steps and large propagation distances," IEEE Photon. Technol. Lett. 3, 466-468 (1991).

[CrossRef]

T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).

P. Sewell, T. M. Benson, T. Anada, and P. C. Kendall, "Bi-oblique propagation analysis of symmetric and asymmetric Y-junctions," J. Lightwave Technol. 15, 688-696 (1997).

[CrossRef]

P. Sewell, T. M. Benson, S. Sujecki, and P. C. Kendall, "The dispersion characteristics of oblique coordinate beam propagation algorithms," J. Lightwave Technol. 17, 514-518 (1999).

[CrossRef]

C.-T. Lee, M.-L. Wu, L.-G. Sheu, P.-L. Fan, and J.-M. Hsu, "Design and analysis of completely adiabatic tapered waveguides by conformal mapping," J. Lightwave Technol. 15, 403-410 (1997).

[CrossRef]

F. Schmidt, "An adaptive approach to the numerical solution of Fresnel's wave equation," J. Lightwave Technol. 11, 1425-1434 (1993).

[CrossRef]

I. Ilic, R. Scarmozzino, and R. M. Osgood, "Investigation of the Padé approximant-based wide-angle beam propagation method for accurate modelling of waveguiding circuits," J. Lightwave Technol. 14, 2813-2822 (1996).

[CrossRef]

J. Shibayama, K. Matsubara, M. Sekiguchi, J. Yamauchi, and H. Nakano, "Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods," J. Lightwave Technol. 17, 677-683 (1999).

[CrossRef]

P. Sewell, T. Anada, T. M. Benson, and P. C. Kendall, "Non-standard beam propagation," Microwave Opt. Technol. Lett. 13, 24-26 (1996).

[CrossRef]

H. J. W. M. Hoekstra, G. J. M. Krijnen, and P. V. Lambeck, "On the accuracy of the finite difference method for applications in beam propagating techniques," Opt. Commun. 94, 506-508 (1992).

[CrossRef]

P. Bienstman and R. Baets, "Advanced boundary conditions for eigenmode expansion models," Opt. Quantum Electron. 34, 523-540 (2002).

[CrossRef]

E. Ahlers and R. Pregla, "3-D modelling of concatenations of straight and curved waveguides by MoL-BPM," Opt. Quantum Electron. 29, 151-156 (1997).

[CrossRef]

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge U. Press, 1992).