G. Zhang, M. Yu, C. Tung, and G. Lo, “Quantum size effects on dielectric constants and optical absorption of ultrathin silicon films,” IEEE Electron Dev. Lett. 29, 1302–1305 (2008).

S. Wakui, J. Nakamura, and A. Natori, “First-principles calculations of dielectric constants for ultrathin SiO2 films,” J. Vac. Sci. Technol. B 24, 1992–1996 (2006).

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A. Delage, S. Janz, B. Lamontagne, A. Bogdanov, D. Dalacu, D.-X. Xu, and K. P. Yap, “Monolithically integrated asymmetric graded and step-index couplers for microphotonic waveguides,” Opt. Express 14, 148–161 (2006).

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Y. P. Li and C. H. Henry, “Silica-based optical integrated circuits,” IEE Proc. Optoelectron. 143, 263–280 (1996).

[CrossRef]

K. S. Chiang, “Construction of refractive-index profiles of planar dielectric waveguides from the distribution of effective indexes,” J. Lightwave Technol. 3, 385–391 (1985).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1980), Chap. 14, pp. 705–708.

K. S. Chiang, “Construction of refractive-index profiles of planar dielectric waveguides from the distribution of effective indexes,” J. Lightwave Technol. 3, 385–391 (1985).

[CrossRef]

G. R. Hadley, “Transparent boundary conditions for the beam propagation method,” IEEE J. Quantum Electron. 28, 363–370 (1992).

[CrossRef]

H. Nishihara, M. Haruna, and T. Sukara, Optical Integrated Circuits (McGraw-Hill, 1989), Chap. 2, pp. 21–25.

Y. P. Li and C. H. Henry, “Silica-based optical integrated circuits,” IEE Proc. Optoelectron. 143, 263–280 (1996).

[CrossRef]

V. V. Kotlyar, A. A. Kovalev, Y. R. Triandafilov, and A. G. Nalimov, “Simulation of propagation of modes in planar gradient-index hyperbolic secant waveguide,” in 11th International Conference on Laser and Fiber-Optical Networks Modeling (LFNM), Kharkov, Ukraine, September5–8, 2011.

V. V. Kotlyar, A. A. Kovalev, Y. R. Triandafilov, and A. G. Nalimov, “Simulation of propagation of modes in planar gradient-index hyperbolic secant waveguide,” in 11th International Conference on Laser and Fiber-Optical Networks Modeling (LFNM), Kharkov, Ukraine, September5–8, 2011.

Y. P. Li and C. H. Henry, “Silica-based optical integrated circuits,” IEE Proc. Optoelectron. 143, 263–280 (1996).

[CrossRef]

G. Zhang, M. Yu, C. Tung, and G. Lo, “Quantum size effects on dielectric constants and optical absorption of ultrathin silicon films,” IEEE Electron Dev. Lett. 29, 1302–1305 (2008).

S. Wakui, J. Nakamura, and A. Natori, “First-principles calculations of dielectric constants for ultrathin SiO2 films,” J. Vac. Sci. Technol. B 24, 1992–1996 (2006).

[CrossRef]

V. V. Kotlyar, A. A. Kovalev, Y. R. Triandafilov, and A. G. Nalimov, “Simulation of propagation of modes in planar gradient-index hyperbolic secant waveguide,” in 11th International Conference on Laser and Fiber-Optical Networks Modeling (LFNM), Kharkov, Ukraine, September5–8, 2011.

S. Wakui, J. Nakamura, and A. Natori, “First-principles calculations of dielectric constants for ultrathin SiO2 films,” J. Vac. Sci. Technol. B 24, 1992–1996 (2006).

[CrossRef]

H. Nishihara, M. Haruna, and T. Sukara, Optical Integrated Circuits (McGraw-Hill, 1989), Chap. 2, pp. 21–25.

C. R. Pollock, Fundamentals of Optoelectronics, 1st ed. (Irwin, 1994), Chap. 9, pp. 243–270.

M. Schwartz, Information Transmission, Modulation, and Noise, 4th ed. (McGraw-Hill, 1990), Chap. 3, pp. 96–100.

H. Nishihara, M. Haruna, and T. Sukara, Optical Integrated Circuits (McGraw-Hill, 1989), Chap. 2, pp. 21–25.

V. V. Kotlyar, A. A. Kovalev, Y. R. Triandafilov, and A. G. Nalimov, “Simulation of propagation of modes in planar gradient-index hyperbolic secant waveguide,” in 11th International Conference on Laser and Fiber-Optical Networks Modeling (LFNM), Kharkov, Ukraine, September5–8, 2011.

G. Zhang, M. Yu, C. Tung, and G. Lo, “Quantum size effects on dielectric constants and optical absorption of ultrathin silicon films,” IEEE Electron Dev. Lett. 29, 1302–1305 (2008).

S. Wakui, J. Nakamura, and A. Natori, “First-principles calculations of dielectric constants for ultrathin SiO2 films,” J. Vac. Sci. Technol. B 24, 1992–1996 (2006).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1980), Chap. 14, pp. 705–708.

G. Zhang, M. Yu, C. Tung, and G. Lo, “Quantum size effects on dielectric constants and optical absorption of ultrathin silicon films,” IEEE Electron Dev. Lett. 29, 1302–1305 (2008).

G. Zhang, M. Yu, C. Tung, and G. Lo, “Quantum size effects on dielectric constants and optical absorption of ultrathin silicon films,” IEEE Electron Dev. Lett. 29, 1302–1305 (2008).

Y. P. Li and C. H. Henry, “Silica-based optical integrated circuits,” IEE Proc. Optoelectron. 143, 263–280 (1996).

[CrossRef]

G. Zhang, M. Yu, C. Tung, and G. Lo, “Quantum size effects on dielectric constants and optical absorption of ultrathin silicon films,” IEEE Electron Dev. Lett. 29, 1302–1305 (2008).

G. R. Hadley, “Transparent boundary conditions for the beam propagation method,” IEEE J. Quantum Electron. 28, 363–370 (1992).

[CrossRef]

K. S. Chiang, “Construction of refractive-index profiles of planar dielectric waveguides from the distribution of effective indexes,” J. Lightwave Technol. 3, 385–391 (1985).

[CrossRef]

T. Ramadan, “Sturm-sequence properties of recurrence dispersion functions of periodic waveguide arrays: theory and applications,” J. Lightwave Technol. 27, 4548–4562 (2009).

[CrossRef]

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I. Molina-Fernandez, A. Ortega-Monux, and J. G. Wanguemert-Perez, “Improving multimode interference couplers performance through index profile engineering,” J. Lightwave Technol. 27, 1307–1314 (2009).

[CrossRef]

S. Wakui, J. Nakamura, and A. Natori, “First-principles calculations of dielectric constants for ultrathin SiO2 films,” J. Vac. Sci. Technol. B 24, 1992–1996 (2006).

[CrossRef]

H. Nishihara, M. Haruna, and T. Sukara, Optical Integrated Circuits (McGraw-Hill, 1989), Chap. 2, pp. 21–25.

V. V. Kotlyar, A. A. Kovalev, Y. R. Triandafilov, and A. G. Nalimov, “Simulation of propagation of modes in planar gradient-index hyperbolic secant waveguide,” in 11th International Conference on Laser and Fiber-Optical Networks Modeling (LFNM), Kharkov, Ukraine, September5–8, 2011.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1980), Chap. 14, pp. 705–708.

C. R. Pollock, Fundamentals of Optoelectronics, 1st ed. (Irwin, 1994), Chap. 9, pp. 243–270.

M. Schwartz, Information Transmission, Modulation, and Noise, 4th ed. (McGraw-Hill, 1990), Chap. 3, pp. 96–100.