R. M. James, “On the use of Fourier series/FFT’s as global basis functions in the solution of boundary integral equations for EM scattering,”IEEE Trans. Antennas Propag. 42, 1309–1316 (1994).

[CrossRef]

R. Coifman, V. Rokhlin, S. Wandzura, “The fast multi-pole method for the wave equation: a pedestrian prescription,”IEEE Antennas Propag. Mag. 35, (June), (1993).

[CrossRef]

G. F. Herrmann, S. M. Strain, “Sampling method using prefiltered band-limited Green’s functions for the solution of electromagnetic integral equations,”IEEE Trans. Antennas Propag. 41, 20–24 (1993).

[CrossRef]

K. Tanaka, M. Tanaka, H. Tashima, H. Ootera, Y. Yoshino, “New integral equation method for CAD of open waveguide bends,” Radio Sci. 28, 1219–1227 (1993).

[CrossRef]

K. Tanaka, M. Nakahara, “New boundary integral equations for CAD of waveguide circuits: guided-mode extracted integral equations,” IEEE Trans. Microwave Theory Tech. 40, 1647–1654 (1992).

[CrossRef]

K. Hirayama, M. Koshiba, “Analysis of discontinuities in an asymmetric dielectric slab waveguide by combination of finite and boundary elements,” IEEE Trans. Microwave Theory Tech. 40, 686–691 (1992).

[CrossRef]

N. Morita, “A rigorous analytical solution to abrupt dielectric waveguide discontinuities,” IEEE Trans. Microwave Theory Tech. 39, 1272–1278 (1992).

[CrossRef]

S. Safavi-Naeini, Y. L. Chow, “A novel design and analysis of low loss abrupt bends of dielectric slab waveguides,” J. Lightwave Technol. 10, 570–580 (1992).

[CrossRef]

K. Hirayama, M. Koshiba, “A new low-loss structure of abrupt bends in dielectric waveguide,” J. Lightwave Technol. 10, 563–568 (1992).

[CrossRef]

K. B. Koch, J. B. Davies, D. Wickramasinghe, “Finite element finite difference propagation algorithm for integrated optical device,” Electron. Lett. 25, 514–516 (1990).

[CrossRef]

D. Yevick, B. Hermansson, “New formulation of the matrix beam propagation method: application to rib waveguides,” IEEE J. Quantum Electron. 25, 221–229 (1989).

[CrossRef]

K. Tanaka, M. Kojima, “New boundary integral equations for CAD of waveguide circuits,” Electron. Lett. 24, 807–808 (1989).

[CrossRef]

K. Tanaka, M. Kojima, “New boundary integral equations for computer-aided design of dielectric waveguide circuits,” J. Opt. Soc. Am. A 6, 667–674 (1989).

[CrossRef]

M. Matsuhara, I. Toyota, H. Shirae, “Analysis of a bending dielectric slab waveguide by integral equation formulation,” Trans. Inst. Electron. Inf. Eng. Jpn. J71-C, 1021–1026 (1988).

P. Kaczmarski, P. E. Lagasse, “Bidirectional beam propagation method,” Electron. Lett. 24, 675–676 (1988).

[CrossRef]

K. Ogusu, “Transmission characteristics of optical waveguide corners,” Opt. Commun. 55, 149–153 (1985).

[CrossRef]

N. Morita, “An integral equation method for electromagnetic scattering of guided modes by boundary deformation of dielectric slab waveguides,” Radio Sci. 18, 39–47 (1983).

[CrossRef]

S. Safavi-Naeini, Y. L. Chow, “A novel design and analysis of low loss abrupt bends of dielectric slab waveguides,” J. Lightwave Technol. 10, 570–580 (1992).

[CrossRef]

R. Coifman, V. Rokhlin, S. Wandzura, “The fast multi-pole method for the wave equation: a pedestrian prescription,”IEEE Antennas Propag. Mag. 35, (June), (1993).

[CrossRef]

K. B. Koch, J. B. Davies, D. Wickramasinghe, “Finite element finite difference propagation algorithm for integrated optical device,” Electron. Lett. 25, 514–516 (1990).

[CrossRef]

D. Yevick, B. Hermansson, “New formulation of the matrix beam propagation method: application to rib waveguides,” IEEE J. Quantum Electron. 25, 221–229 (1989).

[CrossRef]

G. F. Herrmann, S. M. Strain, “Sampling method using prefiltered band-limited Green’s functions for the solution of electromagnetic integral equations,”IEEE Trans. Antennas Propag. 41, 20–24 (1993).

[CrossRef]

K. Hirayama, M. Koshiba, “Analysis of discontinuities in an asymmetric dielectric slab waveguide by combination of finite and boundary elements,” IEEE Trans. Microwave Theory Tech. 40, 686–691 (1992).

[CrossRef]

K. Hirayama, M. Koshiba, “A new low-loss structure of abrupt bends in dielectric waveguide,” J. Lightwave Technol. 10, 563–568 (1992).

[CrossRef]

R. G. Hunsperger, Integrated Optics: Theory and Technology (Springer-Verlag, Berlin, 1991), Chap. 5.

[CrossRef]

R. M. James, “On the use of Fourier series/FFT’s as global basis functions in the solution of boundary integral equations for EM scattering,”IEEE Trans. Antennas Propag. 42, 1309–1316 (1994).

[CrossRef]

P. Kaczmarski, P. E. Lagasse, “Bidirectional beam propagation method,” Electron. Lett. 24, 675–676 (1988).

[CrossRef]

K. B. Koch, J. B. Davies, D. Wickramasinghe, “Finite element finite difference propagation algorithm for integrated optical device,” Electron. Lett. 25, 514–516 (1990).

[CrossRef]

K. Hirayama, M. Koshiba, “A new low-loss structure of abrupt bends in dielectric waveguide,” J. Lightwave Technol. 10, 563–568 (1992).

[CrossRef]

K. Hirayama, M. Koshiba, “Analysis of discontinuities in an asymmetric dielectric slab waveguide by combination of finite and boundary elements,” IEEE Trans. Microwave Theory Tech. 40, 686–691 (1992).

[CrossRef]

M. Koshiba, M. Suzuki, “Boundary-element analysis of dielectric slab waveguide discontinuities,” Appl. Opt. 25, 828–829 (1986).

[CrossRef]
[PubMed]

P. Kaczmarski, P. E. Lagasse, “Bidirectional beam propagation method,” Electron. Lett. 24, 675–676 (1988).

[CrossRef]

M. Matsuhara, I. Toyota, H. Shirae, “Analysis of a bending dielectric slab waveguide by integral equation formulation,” Trans. Inst. Electron. Inf. Eng. Jpn. J71-C, 1021–1026 (1988).

N. Morita, “A rigorous analytical solution to abrupt dielectric waveguide discontinuities,” IEEE Trans. Microwave Theory Tech. 39, 1272–1278 (1992).

[CrossRef]

N. Morita, “An integral equation method for electromagnetic scattering of guided modes by boundary deformation of dielectric slab waveguides,” Radio Sci. 18, 39–47 (1983).

[CrossRef]

K. Tanaka, M. Nakahara, “New boundary integral equations for CAD of waveguide circuits: guided-mode extracted integral equations,” IEEE Trans. Microwave Theory Tech. 40, 1647–1654 (1992).

[CrossRef]

M. Sanagi, M. Nakajima, “An optical waveguide bend with enhanced curvature and optimization of its structure,” Fiber Integrated Opt. 17, 329–345 (1991).

E. G. Newman, “Reducing radiation loss of tilts in dielectric optical waveguides,” Electron. Lett. 17, 3990–3998 (1978).

K. Ogusu, “Transmission characteristics of optical waveguide corners,” Opt. Commun. 55, 149–153 (1985).

[CrossRef]

K. Tanaka, M. Tanaka, H. Tashima, H. Ootera, Y. Yoshino, “New integral equation method for CAD of open waveguide bends,” Radio Sci. 28, 1219–1227 (1993).

[CrossRef]

R. Coifman, V. Rokhlin, S. Wandzura, “The fast multi-pole method for the wave equation: a pedestrian prescription,”IEEE Antennas Propag. Mag. 35, (June), (1993).

[CrossRef]

S. Safavi-Naeini, Y. L. Chow, “A novel design and analysis of low loss abrupt bends of dielectric slab waveguides,” J. Lightwave Technol. 10, 570–580 (1992).

[CrossRef]

M. Sanagi, M. Nakajima, “An optical waveguide bend with enhanced curvature and optimization of its structure,” Fiber Integrated Opt. 17, 329–345 (1991).

M. Matsuhara, I. Toyota, H. Shirae, “Analysis of a bending dielectric slab waveguide by integral equation formulation,” Trans. Inst. Electron. Inf. Eng. Jpn. J71-C, 1021–1026 (1988).

G. F. Herrmann, S. M. Strain, “Sampling method using prefiltered band-limited Green’s functions for the solution of electromagnetic integral equations,”IEEE Trans. Antennas Propag. 41, 20–24 (1993).

[CrossRef]

T. Tamir, Guided-Wave Optoelectronics (Springer-Verlag, Berlin, 1990), Chap. 6.

[CrossRef]

K. Tanaka, M. Tanaka, H. Tashima, H. Ootera, Y. Yoshino, “New integral equation method for CAD of open waveguide bends,” Radio Sci. 28, 1219–1227 (1993).

[CrossRef]

K. Tanaka, M. Nakahara, “New boundary integral equations for CAD of waveguide circuits: guided-mode extracted integral equations,” IEEE Trans. Microwave Theory Tech. 40, 1647–1654 (1992).

[CrossRef]

K. Tanaka, M. Kojima, “New boundary integral equations for CAD of waveguide circuits,” Electron. Lett. 24, 807–808 (1989).

[CrossRef]

K. Tanaka, M. Kojima, “New boundary integral equations for computer-aided design of dielectric waveguide circuits,” J. Opt. Soc. Am. A 6, 667–674 (1989).

[CrossRef]

K. Tanaka, M. Tanaka, H. Tashima, H. Ootera, Y. Yoshino, “New integral equation method for CAD of open waveguide bends,” Radio Sci. 28, 1219–1227 (1993).

[CrossRef]

K. Tanaka, M. Tanaka, H. Tashima, H. Ootera, Y. Yoshino, “New integral equation method for CAD of open waveguide bends,” Radio Sci. 28, 1219–1227 (1993).

[CrossRef]

M. Matsuhara, I. Toyota, H. Shirae, “Analysis of a bending dielectric slab waveguide by integral equation formulation,” Trans. Inst. Electron. Inf. Eng. Jpn. J71-C, 1021–1026 (1988).

R. Coifman, V. Rokhlin, S. Wandzura, “The fast multi-pole method for the wave equation: a pedestrian prescription,”IEEE Antennas Propag. Mag. 35, (June), (1993).

[CrossRef]

K. B. Koch, J. B. Davies, D. Wickramasinghe, “Finite element finite difference propagation algorithm for integrated optical device,” Electron. Lett. 25, 514–516 (1990).

[CrossRef]

D. Yevick, B. Hermansson, “New formulation of the matrix beam propagation method: application to rib waveguides,” IEEE J. Quantum Electron. 25, 221–229 (1989).

[CrossRef]

K. Tanaka, M. Tanaka, H. Tashima, H. Ootera, Y. Yoshino, “New integral equation method for CAD of open waveguide bends,” Radio Sci. 28, 1219–1227 (1993).

[CrossRef]

M. D. Feit, J. A. Fleck, “Light propagation in graded index optical fibers,” Appl. Opt. 17, 3990–3998 (1978).

[CrossRef]
[PubMed]

M. Koshiba, M. Suzuki, “Boundary-element analysis of dielectric slab waveguide discontinuities,” Appl. Opt. 25, 828–829 (1986).

[CrossRef]
[PubMed]

H. F. Taykor, “Losses at corner bends in dielectric waveguides,” Appl. Opt. 16, 711–716 (1977).

[CrossRef]

E. G. Newman, “Reducing radiation loss of tilts in dielectric optical waveguides,” Electron. Lett. 17, 3990–3998 (1978).

P. Kaczmarski, P. E. Lagasse, “Bidirectional beam propagation method,” Electron. Lett. 24, 675–676 (1988).

[CrossRef]

K. B. Koch, J. B. Davies, D. Wickramasinghe, “Finite element finite difference propagation algorithm for integrated optical device,” Electron. Lett. 25, 514–516 (1990).

[CrossRef]

K. Tanaka, M. Kojima, “New boundary integral equations for CAD of waveguide circuits,” Electron. Lett. 24, 807–808 (1989).

[CrossRef]

M. Sanagi, M. Nakajima, “An optical waveguide bend with enhanced curvature and optimization of its structure,” Fiber Integrated Opt. 17, 329–345 (1991).

R. Coifman, V. Rokhlin, S. Wandzura, “The fast multi-pole method for the wave equation: a pedestrian prescription,”IEEE Antennas Propag. Mag. 35, (June), (1993).

[CrossRef]

D. Yevick, B. Hermansson, “New formulation of the matrix beam propagation method: application to rib waveguides,” IEEE J. Quantum Electron. 25, 221–229 (1989).

[CrossRef]

G. F. Herrmann, S. M. Strain, “Sampling method using prefiltered band-limited Green’s functions for the solution of electromagnetic integral equations,”IEEE Trans. Antennas Propag. 41, 20–24 (1993).

[CrossRef]

R. M. James, “On the use of Fourier series/FFT’s as global basis functions in the solution of boundary integral equations for EM scattering,”IEEE Trans. Antennas Propag. 42, 1309–1316 (1994).

[CrossRef]

K. Hirayama, M. Koshiba, “Analysis of discontinuities in an asymmetric dielectric slab waveguide by combination of finite and boundary elements,” IEEE Trans. Microwave Theory Tech. 40, 686–691 (1992).

[CrossRef]

N. Morita, “A rigorous analytical solution to abrupt dielectric waveguide discontinuities,” IEEE Trans. Microwave Theory Tech. 39, 1272–1278 (1992).

[CrossRef]

K. Tanaka, M. Nakahara, “New boundary integral equations for CAD of waveguide circuits: guided-mode extracted integral equations,” IEEE Trans. Microwave Theory Tech. 40, 1647–1654 (1992).

[CrossRef]

S. Safavi-Naeini, Y. L. Chow, “A novel design and analysis of low loss abrupt bends of dielectric slab waveguides,” J. Lightwave Technol. 10, 570–580 (1992).

[CrossRef]

K. Hirayama, M. Koshiba, “A new low-loss structure of abrupt bends in dielectric waveguide,” J. Lightwave Technol. 10, 563–568 (1992).

[CrossRef]

K. Ogusu, “Transmission characteristics of optical waveguide corners,” Opt. Commun. 55, 149–153 (1985).

[CrossRef]

N. Morita, “An integral equation method for electromagnetic scattering of guided modes by boundary deformation of dielectric slab waveguides,” Radio Sci. 18, 39–47 (1983).

[CrossRef]

K. Tanaka, M. Tanaka, H. Tashima, H. Ootera, Y. Yoshino, “New integral equation method for CAD of open waveguide bends,” Radio Sci. 28, 1219–1227 (1993).

[CrossRef]

M. Matsuhara, I. Toyota, H. Shirae, “Analysis of a bending dielectric slab waveguide by integral equation formulation,” Trans. Inst. Electron. Inf. Eng. Jpn. J71-C, 1021–1026 (1988).

T. Tamir, Guided-Wave Optoelectronics (Springer-Verlag, Berlin, 1990), Chap. 6.

[CrossRef]

R. G. Hunsperger, Integrated Optics: Theory and Technology (Springer-Verlag, Berlin, 1991), Chap. 5.

[CrossRef]