H. Yamada, M. Nozawa, M. Kinoshita, and K. Ohashi, “Vertical-coupling optical interface for on-chip optical interconnection,” Opt. Express 19, 698–703 (2011).

[CrossRef]

S. Ura, K. Shimizu, Y. Kita, K. Kentaka, J. Inoue, and Y. Awatsuji, “Integrated-optic free-space-wave coupler for package-level on-board optical interconnects,” IEEE J. Sel. Topics Quantum Electron. 17, 590–596 (2011).

[CrossRef]

A. D. Papadopoulos and E. N. Glytsis, “Preferential-order waveguide grating couplers: a comparative rigorous analysis using the finite-difference time-domain method,” Appl. Opt. 49, 5787–5798 (2010).

[CrossRef]

B. Bai, J. Laakkonen, M. Kuittinen, and S. Siitonen, “Optimization of nonbinary slanted surface-relief gratings as high-efficiency broadband couplers for light guides,” Appl. Opt. 49, 5454–5464 (2010).

[CrossRef]

Z. Lin, “The optimal spatially-smoother source patterns for the pseudospectral time-domain method,” IEEE Trans. Antennas Propag. 58, 227–229 (2010).

[CrossRef]

S.-D. Wu and E. N. Glytsis, “Volume holographic grating couplers: rigorous analysis using the finite-difference frequency-domain method,” Appl. Opt. 43, 1009–1023 (2004).

[CrossRef]

B. Wang, J. Jiang, and G. P. Nordin, “Compact slanted grating couplers,” Opt. Express 12, 3313–3326 (2004).

[CrossRef]

G. Xiang, M. S. Mirotznik, and D. W. Prather, “A method for introducing soft sources in the PSTD algorithm,” IEEE Trans. Antennas Propag. 52, 1665–1671 (2004).

[CrossRef]

J. A. Roden and S. D. Gedney, “Convolutional PML (CPML): an efficient FDTD implementation of the CFS-PML for arbitrary media,” Microw. Opt. Technol. Lett. 27, 334–339 (2000).

[CrossRef]

L. Gurel and U. Oguz, “Signal-processing techniques to reduce the sinusoidal steady-state error in the FDTD method,” IEEE Trans. Antennas Propag. 48, 585–593 (2000).

[CrossRef]

R. Orobtchouk, A. Layadi, H. Gualous, D. Pascal, A. Koster, and S. Laval, “High-efficiency light coupling in a submicrometric silicon-on-insulator waveguide,” Appl. Opt. 39, 5773–5777 (2000).

[CrossRef]

S. M. Schultz, E. N. Glytsis, and T. K. Gaylord, “Design, fabrication, and performance of preferential-order volume grating waveguide couplers,” Appl. Opt. 39, 1223–1232 (2000).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

J. S. Hesthaven, P. G. Dinesen, and J. P. Lynovy, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

R. Waldhäusl, B. Schnabel, P. Dannberg, E.-B. Kley, A. Bräuer, and W. Karthe, “Efficient coupling into polymer waveguides by gratings,” Appl. Opt. 36, 9383–9390 (1997).

[CrossRef]

D. Pascal, R. Orobtchouk, A. Layadi, A. Koster, and S. Laval, “Optimized coupling of a Gaussian beam into an optical waveguide with a grating coupler: comparison of experimental and theoretical results,” Appl. Opt. 36, 2443–2447 (1997).

[CrossRef]

Q. Xing, S. Ura, T. Suhara, and H. Nishihara, “Contra-directional coupling between stacked waveguides using grating couplers,” Opt. Commun. 144, 180–182 (1997).

[CrossRef]

Q. Huang and P. R. Ashley, “Holographic Bragg grating input-output couplers for polymer waveguides at an 850 nm wavelength,” Appl. Opt. 36, 1198–1203 (1997).

[CrossRef]

Q. H. Liu, “The PSTD algorithm: a time-domain method requiring only two cells per wavelength,” Microw. Opt. Technol. Lett. 15, 158–165 (1997).

[CrossRef]

T.-W. Lee and S. C. Hagness, “A compact wave source condition for the pseudospectral time-domain method,” Microwave Opt. Technol. Lett. 15, 158–165 (1997).

[CrossRef]

M. Li and S. J. Sheard, “Experimental study of waveguide grating couplers with parallelogramic tooth profile,” Opt. Eng. 35, 3101–3106 (1996).

[CrossRef]

M. Li and S. J. Sheard, “Waveguide couplers using parallelogramic-shaped blazed gratings,” Opt. Commun. 109, 239–245 (1994).

[CrossRef]

R. L. Roncone, L. Li, K. A. Bates, J. J. Burke, L. Weisenbach, and B. J. J. Zelinski, “Design and fabrication of single-leakage-channel grating coupler,” Appl. Opt. 32, 4522–4528 (1993).

[CrossRef]

R. L. Roncone, L. Li, K. A. Bates, and J. C. Brazas, “Single-leakage-channel grating couplers: comparison of theoretical and experimental branching ratios,” Opt. Lett. 18, 1919–1921(1993).

[CrossRef]

I. A. Avrutsky, A. S. Svakhin, and V. A. Sychugov, “Interference phenomena in waveguide with two corrugated boundaries,” J. Mod. Opt. 36, 1303–1320 (1989).

[CrossRef]

K. Ogawa, W. S. C. Chang, B. L. Sopori, and F. J. Rosenbaum, “A theoretical analysis of etched grating couplers for integrated optics,” IEEE J. Quantum Electron. 9, 29–42(1973).

[CrossRef]

M. Neviere, R. Petit, and M. Cadilhac, “About the theory of optical grating coupler-waveguide system,” Opt. Commun. 8, 113–117 (1973).

[CrossRef]

M. Neviere, P. Vincent, R. Petit, and M. Cadilhac, “Systematic study of resonances of holographic thin film couplers,” Opt. Commun. 9, 48–53 (1973).

[CrossRef]

M. Neviere, P. Vincent, R. Petit, and M. Cadilhac, “Determination of the coupling coefficient of a holographic thin film coupler,” Opt. Commun. 9, 240–245 (1973).

[CrossRef]

K. Ogawa and W. S. C. Chang, “Analysis of holographic thin film grating coupler,” Appl. Opt. 12, 2167–2171 (1973).

[CrossRef]

H. Kogelnik and T. P. Sosnowski, “Holographic thin film couplers,” Bell Syst. Tech. J. 49, 1602–1608 (1970).

I. A. Avrutsky, A. S. Svakhin, V. A. Sychugov, and O. Parriaux, “High-efficiency single-order waveguide grating coupler,” Opt. Lett. 15, 1446–1448 (1990).

[CrossRef]

I. A. Avrutsky, A. S. Svakhin, and V. A. Sychugov, “Interference phenomena in waveguide with two corrugated boundaries,” J. Mod. Opt. 36, 1303–1320 (1989).

[CrossRef]

S. Ura, K. Shimizu, Y. Kita, K. Kentaka, J. Inoue, and Y. Awatsuji, “Integrated-optic free-space-wave coupler for package-level on-board optical interconnects,” IEEE J. Sel. Topics Quantum Electron. 17, 590–596 (2011).

[CrossRef]

R. L. Roncone, L. Li, K. A. Bates, and J. C. Brazas, “Single-leakage-channel grating couplers: comparison of theoretical and experimental branching ratios,” Opt. Lett. 18, 1919–1921(1993).

[CrossRef]

R. L. Roncone, L. Li, K. A. Bates, J. J. Burke, L. Weisenbach, and B. J. J. Zelinski, “Design and fabrication of single-leakage-channel grating coupler,” Appl. Opt. 32, 4522–4528 (1993).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

K. Buse, F. Havermeyer, W. Liu, C. Moser, and D. Psaltis, “Holographic filters,” in Photorefractive Materials and Their Applications 3, P. Gunter and J. P. Huignard, eds. (Springer-Verlag, 2007), pp. 295–317.

M. Neviere, R. Petit, and M. Cadilhac, “About the theory of optical grating coupler-waveguide system,” Opt. Commun. 8, 113–117 (1973).

[CrossRef]

M. Neviere, P. Vincent, R. Petit, and M. Cadilhac, “Systematic study of resonances of holographic thin film couplers,” Opt. Commun. 9, 48–53 (1973).

[CrossRef]

M. Neviere, P. Vincent, R. Petit, and M. Cadilhac, “Determination of the coupling coefficient of a holographic thin film coupler,” Opt. Commun. 9, 240–245 (1973).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

J. S. Hesthaven, P. G. Dinesen, and J. P. Lynovy, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

S.-D. Wu, E. N. Glytsis, and T. K. Gaylord, “Optimization of finite-length input volume holographic grating couplers illuminated by finite-size incident beams,” Appl. Opt. 44, 4435–4446 (2005).

[CrossRef]

S. M. Schultz, E. N. Glytsis, and T. K. Gaylord, “Design, fabrication, and performance of preferential-order volume grating waveguide couplers,” Appl. Opt. 39, 1223–1232 (2000).

[CrossRef]

J. A. Roden and S. D. Gedney, “Convolutional PML (CPML): an efficient FDTD implementation of the CFS-PML for arbitrary media,” Microw. Opt. Technol. Lett. 27, 334–339 (2000).

[CrossRef]

A. D. Papadopoulos and E. N. Glytsis, “Preferential-order waveguide grating couplers: a comparative rigorous analysis using the finite-difference time-domain method,” Appl. Opt. 49, 5787–5798 (2010).

[CrossRef]

A. D. Papadopoulos and E. N. Glytsis, “Optical waveguide grating couplers: 2nd-order and 4th-order finite-difference time-domain analysis,” Appl. Opt. 48, 5164–5175 (2009).

[CrossRef]

A. D. Papadopoulos and E. N. Glytsis, “Finite-difference-time-domain analysis of finite-number-of-periods holographic and surface-relief gratings,” Appl. Opt. 47, 1981–1994 (2008).

[CrossRef]

S.-D. Wu, E. N. Glytsis, and T. K. Gaylord, “Optimization of finite-length input volume holographic grating couplers illuminated by finite-size incident beams,” Appl. Opt. 44, 4435–4446 (2005).

[CrossRef]

S.-D. Wu and E. N. Glytsis, “Volume holographic grating couplers: rigorous analysis using the finite-difference frequency-domain method,” Appl. Opt. 43, 1009–1023 (2004).

[CrossRef]

S. M. Schultz, E. N. Glytsis, and T. K. Gaylord, “Design, fabrication, and performance of preferential-order volume grating waveguide couplers,” Appl. Opt. 39, 1223–1232 (2000).

[CrossRef]

L. Gurel and U. Oguz, “Signal-processing techniques to reduce the sinusoidal steady-state error in the FDTD method,” IEEE Trans. Antennas Propag. 48, 585–593 (2000).

[CrossRef]

T.-W. Lee and S. C. Hagness, “A compact wave source condition for the pseudospectral time-domain method,” Microwave Opt. Technol. Lett. 15, 158–165 (1997).

[CrossRef]

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2005).

K. Buse, F. Havermeyer, W. Liu, C. Moser, and D. Psaltis, “Holographic filters,” in Photorefractive Materials and Their Applications 3, P. Gunter and J. P. Huignard, eds. (Springer-Verlag, 2007), pp. 295–317.

J. S. Hesthaven, P. G. Dinesen, and J. P. Lynovy, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

S. Ura, K. Shimizu, Y. Kita, K. Kentaka, J. Inoue, and Y. Awatsuji, “Integrated-optic free-space-wave coupler for package-level on-board optical interconnects,” IEEE J. Sel. Topics Quantum Electron. 17, 590–596 (2011).

[CrossRef]

S. Ura, K. Shimizu, Y. Kita, K. Kentaka, J. Inoue, and Y. Awatsuji, “Integrated-optic free-space-wave coupler for package-level on-board optical interconnects,” IEEE J. Sel. Topics Quantum Electron. 17, 590–596 (2011).

[CrossRef]

S. Ura, K. Shimizu, Y. Kita, K. Kentaka, J. Inoue, and Y. Awatsuji, “Integrated-optic free-space-wave coupler for package-level on-board optical interconnects,” IEEE J. Sel. Topics Quantum Electron. 17, 590–596 (2011).

[CrossRef]

H. Kogelnik and T. P. Sosnowski, “Holographic thin film couplers,” Bell Syst. Tech. J. 49, 1602–1608 (1970).

R. Orobtchouk, A. Layadi, H. Gualous, D. Pascal, A. Koster, and S. Laval, “High-efficiency light coupling in a submicrometric silicon-on-insulator waveguide,” Appl. Opt. 39, 5773–5777 (2000).

[CrossRef]

D. Pascal, R. Orobtchouk, A. Layadi, A. Koster, and S. Laval, “Optimized coupling of a Gaussian beam into an optical waveguide with a grating coupler: comparison of experimental and theoretical results,” Appl. Opt. 36, 2443–2447 (1997).

[CrossRef]

P. Laakkonen, N. Passilly, and J. Turunen, “Diffractive optics for mobile solutions: light incoupling and polarization control with light guides,” Jpn. J. Appl. Phys. 47, 6635–6641 (2008).

[CrossRef]

R. Orobtchouk, A. Layadi, H. Gualous, D. Pascal, A. Koster, and S. Laval, “High-efficiency light coupling in a submicrometric silicon-on-insulator waveguide,” Appl. Opt. 39, 5773–5777 (2000).

[CrossRef]

D. Pascal, R. Orobtchouk, A. Layadi, A. Koster, and S. Laval, “Optimized coupling of a Gaussian beam into an optical waveguide with a grating coupler: comparison of experimental and theoretical results,” Appl. Opt. 36, 2443–2447 (1997).

[CrossRef]

R. Orobtchouk, A. Layadi, H. Gualous, D. Pascal, A. Koster, and S. Laval, “High-efficiency light coupling in a submicrometric silicon-on-insulator waveguide,” Appl. Opt. 39, 5773–5777 (2000).

[CrossRef]

D. Pascal, R. Orobtchouk, A. Layadi, A. Koster, and S. Laval, “Optimized coupling of a Gaussian beam into an optical waveguide with a grating coupler: comparison of experimental and theoretical results,” Appl. Opt. 36, 2443–2447 (1997).

[CrossRef]

T.-W. Lee and S. C. Hagness, “A compact wave source condition for the pseudospectral time-domain method,” Microwave Opt. Technol. Lett. 15, 158–165 (1997).

[CrossRef]

J. C. Brazas and L. Li, “Analysis of input-grating couplers having finite lengths,” Appl. Opt. 34, 3786–3792 (1995).

[CrossRef]

R. L. Roncone, L. Li, K. A. Bates, J. J. Burke, L. Weisenbach, and B. J. J. Zelinski, “Design and fabrication of single-leakage-channel grating coupler,” Appl. Opt. 32, 4522–4528 (1993).

[CrossRef]

R. L. Roncone, L. Li, K. A. Bates, and J. C. Brazas, “Single-leakage-channel grating couplers: comparison of theoretical and experimental branching ratios,” Opt. Lett. 18, 1919–1921(1993).

[CrossRef]

M. C. Gupta and L. Li, “Effect of beam defocus on the efficiency of planar waveguide grating couplers,” Appl. Opt. 30, 4402–4405 (1991).

[CrossRef]

L. Li and M. C. Gupta, “Effects of beam focusing on the efficiency of planar waveguide grating couplers,” Appl. Opt. 29, 5320–5325 (1990).

[CrossRef]

M. Li and S. J. Sheard, “Experimental study of waveguide grating couplers with parallelogramic tooth profile,” Opt. Eng. 35, 3101–3106 (1996).

[CrossRef]

M. Li and S. J. Sheard, “Waveguide couplers using parallelogramic-shaped blazed gratings,” Opt. Commun. 109, 239–245 (1994).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

Z. Lin, “The optimal spatially-smoother source patterns for the pseudospectral time-domain method,” IEEE Trans. Antennas Propag. 58, 227–229 (2010).

[CrossRef]

Z. Lin, “An analytical derivation of the optimum source patterns for the pseudospectral time-domain method,” J. Comput. Phys. 228, 7375–7387 (2009).

[CrossRef]

Q. H. Liu, “The PSTD algorithm: a time-domain method requiring only two cells per wavelength,” Microw. Opt. Technol. Lett. 15, 158–165 (1997).

[CrossRef]

K. Buse, F. Havermeyer, W. Liu, C. Moser, and D. Psaltis, “Holographic filters,” in Photorefractive Materials and Their Applications 3, P. Gunter and J. P. Huignard, eds. (Springer-Verlag, 2007), pp. 295–317.

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

J. S. Hesthaven, P. G. Dinesen, and J. P. Lynovy, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).

[CrossRef]

D. A. B. Miller, “Device requirements for optical interconnects to silicon chips,” Proc. IEEE 97, 1166–1185 (2009).

[CrossRef]

G. Xiang, M. S. Mirotznik, and D. W. Prather, “A method for introducing soft sources in the PSTD algorithm,” IEEE Trans. Antennas Propag. 52, 1665–1671 (2004).

[CrossRef]

K. Buse, F. Havermeyer, W. Liu, C. Moser, and D. Psaltis, “Holographic filters,” in Photorefractive Materials and Their Applications 3, P. Gunter and J. P. Huignard, eds. (Springer-Verlag, 2007), pp. 295–317.

M. Neviere, P. Vincent, R. Petit, and M. Cadilhac, “Determination of the coupling coefficient of a holographic thin film coupler,” Opt. Commun. 9, 240–245 (1973).

[CrossRef]

M. Neviere, P. Vincent, R. Petit, and M. Cadilhac, “Systematic study of resonances of holographic thin film couplers,” Opt. Commun. 9, 48–53 (1973).

[CrossRef]

M. Neviere, R. Petit, and M. Cadilhac, “About the theory of optical grating coupler-waveguide system,” Opt. Commun. 8, 113–117 (1973).

[CrossRef]

Q. Xing, S. Ura, T. Suhara, and H. Nishihara, “Contra-directional coupling between stacked waveguides using grating couplers,” Opt. Commun. 144, 180–182 (1997).

[CrossRef]

L. Gurel and U. Oguz, “Signal-processing techniques to reduce the sinusoidal steady-state error in the FDTD method,” IEEE Trans. Antennas Propag. 48, 585–593 (2000).

[CrossRef]

R. Orobtchouk, A. Layadi, H. Gualous, D. Pascal, A. Koster, and S. Laval, “High-efficiency light coupling in a submicrometric silicon-on-insulator waveguide,” Appl. Opt. 39, 5773–5777 (2000).

[CrossRef]

D. Pascal, R. Orobtchouk, A. Layadi, A. Koster, and S. Laval, “Optimized coupling of a Gaussian beam into an optical waveguide with a grating coupler: comparison of experimental and theoretical results,” Appl. Opt. 36, 2443–2447 (1997).

[CrossRef]

R. Orobtchouk, A. Layadi, H. Gualous, D. Pascal, A. Koster, and S. Laval, “High-efficiency light coupling in a submicrometric silicon-on-insulator waveguide,” Appl. Opt. 39, 5773–5777 (2000).

[CrossRef]

D. Pascal, R. Orobtchouk, A. Layadi, A. Koster, and S. Laval, “Optimized coupling of a Gaussian beam into an optical waveguide with a grating coupler: comparison of experimental and theoretical results,” Appl. Opt. 36, 2443–2447 (1997).

[CrossRef]

P. Laakkonen, N. Passilly, and J. Turunen, “Diffractive optics for mobile solutions: light incoupling and polarization control with light guides,” Jpn. J. Appl. Phys. 47, 6635–6641 (2008).

[CrossRef]

M. Neviere, P. Vincent, R. Petit, and M. Cadilhac, “Systematic study of resonances of holographic thin film couplers,” Opt. Commun. 9, 48–53 (1973).

[CrossRef]

M. Neviere, P. Vincent, R. Petit, and M. Cadilhac, “Determination of the coupling coefficient of a holographic thin film coupler,” Opt. Commun. 9, 240–245 (1973).

[CrossRef]

M. Neviere, R. Petit, and M. Cadilhac, “About the theory of optical grating coupler-waveguide system,” Opt. Commun. 8, 113–117 (1973).

[CrossRef]

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

G. Xiang, M. S. Mirotznik, and D. W. Prather, “A method for introducing soft sources in the PSTD algorithm,” IEEE Trans. Antennas Propag. 52, 1665–1671 (2004).

[CrossRef]

K. Buse, F. Havermeyer, W. Liu, C. Moser, and D. Psaltis, “Holographic filters,” in Photorefractive Materials and Their Applications 3, P. Gunter and J. P. Huignard, eds. (Springer-Verlag, 2007), pp. 295–317.

J. A. Roden and S. D. Gedney, “Convolutional PML (CPML): an efficient FDTD implementation of the CFS-PML for arbitrary media,” Microw. Opt. Technol. Lett. 27, 334–339 (2000).

[CrossRef]

R. L. Roncone, L. Li, K. A. Bates, and J. C. Brazas, “Single-leakage-channel grating couplers: comparison of theoretical and experimental branching ratios,” Opt. Lett. 18, 1919–1921(1993).

[CrossRef]

R. L. Roncone, L. Li, K. A. Bates, J. J. Burke, L. Weisenbach, and B. J. J. Zelinski, “Design and fabrication of single-leakage-channel grating coupler,” Appl. Opt. 32, 4522–4528 (1993).

[CrossRef]

K. Ogawa, W. S. C. Chang, B. L. Sopori, and F. J. Rosenbaum, “A theoretical analysis of etched grating couplers for integrated optics,” IEEE J. Quantum Electron. 9, 29–42(1973).

[CrossRef]

M. Li and S. J. Sheard, “Experimental study of waveguide grating couplers with parallelogramic tooth profile,” Opt. Eng. 35, 3101–3106 (1996).

[CrossRef]

M. Li and S. J. Sheard, “Waveguide couplers using parallelogramic-shaped blazed gratings,” Opt. Commun. 109, 239–245 (1994).

[CrossRef]

S. Ura, K. Shimizu, Y. Kita, K. Kentaka, J. Inoue, and Y. Awatsuji, “Integrated-optic free-space-wave coupler for package-level on-board optical interconnects,” IEEE J. Sel. Topics Quantum Electron. 17, 590–596 (2011).

[CrossRef]

K. Ogawa, W. S. C. Chang, B. L. Sopori, and F. J. Rosenbaum, “A theoretical analysis of etched grating couplers for integrated optics,” IEEE J. Quantum Electron. 9, 29–42(1973).

[CrossRef]

H. Kogelnik and T. P. Sosnowski, “Holographic thin film couplers,” Bell Syst. Tech. J. 49, 1602–1608 (1970).

Q. Xing, S. Ura, T. Suhara, and H. Nishihara, “Contra-directional coupling between stacked waveguides using grating couplers,” Opt. Commun. 144, 180–182 (1997).

[CrossRef]

I. A. Avrutsky, A. S. Svakhin, V. A. Sychugov, and O. Parriaux, “High-efficiency single-order waveguide grating coupler,” Opt. Lett. 15, 1446–1448 (1990).

[CrossRef]

I. A. Avrutsky, A. S. Svakhin, and V. A. Sychugov, “Interference phenomena in waveguide with two corrugated boundaries,” J. Mod. Opt. 36, 1303–1320 (1989).

[CrossRef]

I. A. Avrutsky, A. S. Svakhin, V. A. Sychugov, and O. Parriaux, “High-efficiency single-order waveguide grating coupler,” Opt. Lett. 15, 1446–1448 (1990).

[CrossRef]

I. A. Avrutsky, A. S. Svakhin, and V. A. Sychugov, “Interference phenomena in waveguide with two corrugated boundaries,” J. Mod. Opt. 36, 1303–1320 (1989).

[CrossRef]

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2005).

R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, “Fully embedded board-level guided-wave optoelectronic interconnects,” Proc. IEEE 88, 780–793 (2000).

[CrossRef]

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