High transmission contrast for single resonator based all-optical diodes with pump-assisting

A. Alberucci and G. Assanto, “All-optical isolation by directional coupling,” Opt. Lett. 33, 1641–1643 (2008).
[Crossref] [PubMed]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133(2007).
[Crossref]

X. S. Lin, W. Q. Wu, H. Zhou, K. F. Zhou, and S. Lan, “Enhancement of unidirectional transmission through the coupling of nonlinear photonic crystal defects,” Opt. Express 14, 2429–2439(2006).
[Crossref] [PubMed]

Andrey E. Miroshnichenko, Igor Pinkevych, and Yuri S. Kivshar, “Tunable all-optical switching in periodic structures with liquid-crystal defects,” Opt. Express 14, 2839–2844(2006).
[Crossref] [PubMed]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

M. W. Feise, I. V. Shadrivov, and Yuri S. Kivshar, “Bistable diode action in left-handed periodic structures,” Phys. Rev. E 71, 037602 (2005).
[Crossref]

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

X. S. Lin and S. Lan, “Unidirectional transmission in asymmetrically confined photonic crystal defects with Kerr nonlinearity,” Chin. Phys. Lett. 22, 2847–2850 (2005).
[Crossref]

S. Pereira, P. Chak, J. E. Sipe, L. Tkeshelashvili, and K. Busch, “All-optical diode in an asymmetrically apodized Kerr nonlinear microresonator system,” Photonics Nanostruct. Fundam. Appl. 2, 181–190 (2004).
[Crossref]

M. F. Yanik, S. Fan, and M. Soljačić, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741(2003).
[Crossref]

M. Soljačić, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, “Optimal bistable switching in nonlinear photonic crystals,” Phys. Rev. E 66, 055601(R) (2002).

S. F. Mingaleev and Yuri S. Kivshar, “Nonlinear transmission and light localization in photonic crystal waveguides,” J. Opt. Soc. Am. B 19, 2241–2249 (2002).
[Crossref]

K. Gallo and G. Assanto, “All-optical diode in a periodically poled lithium niobate waveguide,” Appl. Phys. Lett. 79, 314–316 (2001).
[Crossref]

E. Centeno and D. Felbacq, “Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavity,” Phys. Rev. B 62, R7683–R7686 (2000).
[Crossref]

E. Lidorikis and C. M. Soukoulis, “Pulse-driven switching in one-dimensional nonlinear photonic band gap materials: a numerical study,” Phys. Rev. E 61, 5825–5829 (2000).
[Crossref]

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, “Integrated optical isolators with sputter-deposited thin-film magnets,” IEEE Photon. Technol. Lett. 8, 903–905(1996).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “The photonic band edge optical diode,” J. Appl. Phys. 76, 2023–2026(1994).
[Crossref]

H. Kuwahara, “Optical isolator for semiconductor lasers,” Appl. Opt. 19, 319–324(1980).
[Crossref] [PubMed]

A. Alberucci and G. Assanto, “All-optical isolation by directional coupling,” Opt. Lett. 33, 1641–1643 (2008).
[Crossref] [PubMed]

A. Alberucci and G. Assanto, “All-optical isolation by directional coupling,” Opt. Lett. 33, 1641–1643 (2008).
[Crossref] [PubMed]

K. Gallo and G. Assanto, “All-optical diode in a periodically poled lithium niobate waveguide,” Appl. Phys. Lett. 79, 314–316 (2001).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “The photonic band edge optical diode,” J. Appl. Phys. 76, 2023–2026(1994).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “The photonic band edge optical diode,” J. Appl. Phys. 76, 2023–2026(1994).
[Crossref]

S. Pereira, P. Chak, J. E. Sipe, L. Tkeshelashvili, and K. Busch, “All-optical diode in an asymmetrically apodized Kerr nonlinear microresonator system,” Photonics Nanostruct. Fundam. Appl. 2, 181–190 (2004).
[Crossref]

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, “Integrated optical isolators with sputter-deposited thin-film magnets,” IEEE Photon. Technol. Lett. 8, 903–905(1996).
[Crossref]

E. Centeno and D. Felbacq, “Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavity,” Phys. Rev. B 62, R7683–R7686 (2000).
[Crossref]

S. Pereira, P. Chak, J. E. Sipe, L. Tkeshelashvili, and K. Busch, “All-optical diode in an asymmetrically apodized Kerr nonlinear microresonator system,” Photonics Nanostruct. Fundam. Appl. 2, 181–190 (2004).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “The photonic band edge optical diode,” J. Appl. Phys. 76, 2023–2026(1994).
[Crossref]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133(2007).
[Crossref]

M. F. Yanik, S. Fan, and M. Soljačić, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741(2003).
[Crossref]

M. W. Feise, I. V. Shadrivov, and Yuri S. Kivshar, “Bistable diode action in left-handed periodic structures,” Phys. Rev. E 71, 037602 (2005).
[Crossref]

E. Centeno and D. Felbacq, “Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavity,” Phys. Rev. B 62, R7683–R7686 (2000).
[Crossref]

M. Soljačić, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, “Optimal bistable switching in nonlinear photonic crystals,” Phys. Rev. E 66, 055601(R) (2002).

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, “Integrated optical isolators with sputter-deposited thin-film magnets,” IEEE Photon. Technol. Lett. 8, 903–905(1996).
[Crossref]

K. Gallo and G. Assanto, “All-optical diode in a periodically poled lithium niobate waveguide,” Appl. Phys. Lett. 79, 314–316 (2001).
[Crossref]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, Norwood, MA, 2000). In this paper, a commercial software developed by Rsoft Design Group (http://www.rsoftdesign.com) is used for nonlinear FDTD simulations.

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, “Integrated optical isolators with sputter-deposited thin-film magnets,” IEEE Photon. Technol. Lett. 8, 903–905(1996).
[Crossref]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

M. Soljačić, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, “Optimal bistable switching in nonlinear photonic crystals,” Phys. Rev. E 66, 055601(R) (2002).

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

M. Soljačić, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, “Optimal bistable switching in nonlinear photonic crystals,” Phys. Rev. E 66, 055601(R) (2002).

M. Soljačić, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, “Optimal bistable switching in nonlinear photonic crystals,” Phys. Rev. E 66, 055601(R) (2002).

Andrey E. Miroshnichenko, Igor Pinkevych, and Yuri S. Kivshar, “Tunable all-optical switching in periodic structures with liquid-crystal defects,” Opt. Express 14, 2839–2844(2006).
[Crossref] [PubMed]

M. W. Feise, I. V. Shadrivov, and Yuri S. Kivshar, “Bistable diode action in left-handed periodic structures,” Phys. Rev. E 71, 037602 (2005).
[Crossref]

S. F. Mingaleev and Yuri S. Kivshar, “Nonlinear transmission and light localization in photonic crystal waveguides,” J. Opt. Soc. Am. B 19, 2241–2249 (2002).
[Crossref]

H. Kuwahara, “Optical isolator for semiconductor lasers,” Appl. Opt. 19, 319–324(1980).
[Crossref] [PubMed]

X. S. Lin, W. Q. Wu, H. Zhou, K. F. Zhou, and S. Lan, “Enhancement of unidirectional transmission through the coupling of nonlinear photonic crystal defects,” Opt. Express 14, 2429–2439(2006).
[Crossref] [PubMed]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

X. S. Lin and S. Lan, “Unidirectional transmission in asymmetrically confined photonic crystal defects with Kerr nonlinearity,” Chin. Phys. Lett. 22, 2847–2850 (2005).
[Crossref]

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, “Integrated optical isolators with sputter-deposited thin-film magnets,” IEEE Photon. Technol. Lett. 8, 903–905(1996).
[Crossref]

E. Lidorikis and C. M. Soukoulis, “Pulse-driven switching in one-dimensional nonlinear photonic band gap materials: a numerical study,” Phys. Rev. E 61, 5825–5829 (2000).
[Crossref]

X. S. Lin, W. Q. Wu, H. Zhou, K. F. Zhou, and S. Lan, “Enhancement of unidirectional transmission through the coupling of nonlinear photonic crystal defects,” Opt. Express 14, 2429–2439(2006).
[Crossref] [PubMed]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

X. S. Lin and S. Lan, “Unidirectional transmission in asymmetrically confined photonic crystal defects with Kerr nonlinearity,” Chin. Phys. Lett. 22, 2847–2850 (2005).
[Crossref]

S. F. Mingaleev and Yuri S. Kivshar, “Nonlinear transmission and light localization in photonic crystal waveguides,” J. Opt. Soc. Am. B 19, 2241–2249 (2002).
[Crossref]

Andrey E. Miroshnichenko, Igor Pinkevych, and Yuri S. Kivshar, “Tunable all-optical switching in periodic structures with liquid-crystal defects,” Opt. Express 14, 2839–2844(2006).
[Crossref] [PubMed]

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, “Integrated optical isolators with sputter-deposited thin-film magnets,” IEEE Photon. Technol. Lett. 8, 903–905(1996).
[Crossref]

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

S. Pereira, P. Chak, J. E. Sipe, L. Tkeshelashvili, and K. Busch, “All-optical diode in an asymmetrically apodized Kerr nonlinear microresonator system,” Photonics Nanostruct. Fundam. Appl. 2, 181–190 (2004).
[Crossref]

Andrey E. Miroshnichenko, Igor Pinkevych, and Yuri S. Kivshar, “Tunable all-optical switching in periodic structures with liquid-crystal defects,” Opt. Express 14, 2839–2844(2006).
[Crossref] [PubMed]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “The photonic band edge optical diode,” J. Appl. Phys. 76, 2023–2026(1994).
[Crossref]

M. W. Feise, I. V. Shadrivov, and Yuri S. Kivshar, “Bistable diode action in left-handed periodic structures,” Phys. Rev. E 71, 037602 (2005).
[Crossref]

S. Pereira, P. Chak, J. E. Sipe, L. Tkeshelashvili, and K. Busch, “All-optical diode in an asymmetrically apodized Kerr nonlinear microresonator system,” Photonics Nanostruct. Fundam. Appl. 2, 181–190 (2004).
[Crossref]

M. F. Yanik, S. Fan, and M. Soljačić, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741(2003).
[Crossref]

M. Soljačić, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, “Optimal bistable switching in nonlinear photonic crystals,” Phys. Rev. E 66, 055601(R) (2002).

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

E. Lidorikis and C. M. Soukoulis, “Pulse-driven switching in one-dimensional nonlinear photonic band gap materials: a numerical study,” Phys. Rev. E 61, 5825–5829 (2000).
[Crossref]

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, Norwood, MA, 2000). In this paper, a commercial software developed by Rsoft Design Group (http://www.rsoftdesign.com) is used for nonlinear FDTD simulations.

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

S. Pereira, P. Chak, J. E. Sipe, L. Tkeshelashvili, and K. Busch, “All-optical diode in an asymmetrically apodized Kerr nonlinear microresonator system,” Photonics Nanostruct. Fundam. Appl. 2, 181–190 (2004).
[Crossref]

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133(2007).
[Crossref]

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, “Integrated optical isolators with sputter-deposited thin-film magnets,” IEEE Photon. Technol. Lett. 8, 903–905(1996).
[Crossref]

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

X. S. Lin, W. Q. Wu, H. Zhou, K. F. Zhou, and S. Lan, “Enhancement of unidirectional transmission through the coupling of nonlinear photonic crystal defects,” Opt. Express 14, 2429–2439(2006).
[Crossref] [PubMed]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

M. F. Yanik, S. Fan, and M. Soljačić, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741(2003).
[Crossref]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133(2007).
[Crossref]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

X. S. Lin, W. Q. Wu, H. Zhou, K. F. Zhou, and S. Lan, “Enhancement of unidirectional transmission through the coupling of nonlinear photonic crystal defects,” Opt. Express 14, 2429–2439(2006).
[Crossref] [PubMed]

X. S. Lin, W. Q. Wu, H. Zhou, K. F. Zhou, and S. Lan, “Enhancement of unidirectional transmission through the coupling of nonlinear photonic crystal defects,” Opt. Express 14, 2429–2439(2006).
[Crossref] [PubMed]

H. Kuwahara, “Optical isolator for semiconductor lasers,” Appl. Opt. 19, 319–324(1980).
[Crossref] [PubMed]

M. F. Yanik, S. Fan, and M. Soljačić, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741(2003).
[Crossref]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133(2007).
[Crossref]

K. Gallo and G. Assanto, “All-optical diode in a periodically poled lithium niobate waveguide,” Appl. Phys. Lett. 79, 314–316 (2001).
[Crossref]

X. S. Lin and S. Lan, “Unidirectional transmission in asymmetrically confined photonic crystal defects with Kerr nonlinearity,” Chin. Phys. Lett. 22, 2847–2850 (2005).
[Crossref]

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, “Integrated optical isolators with sputter-deposited thin-film magnets,” IEEE Photon. Technol. Lett. 8, 903–905(1996).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “The photonic band edge optical diode,” J. Appl. Phys. 76, 2023–2026(1994).
[Crossref]

S. F. Mingaleev and Yuri S. Kivshar, “Nonlinear transmission and light localization in photonic crystal waveguides,” J. Opt. Soc. Am. B 19, 2241–2249 (2002).
[Crossref]

N. S. Zhao, H. Zhou, Q. Guo, W. Hu, X. B. Yang, S. Lan, and X. S. Lin, “Design of highly efficient optical diodes based on the dynamics of nonlinear photonic crystal molecules,” J. Opt. Soc. Am. B,  23, 2434–2440(2006).
[Crossref]

J. Hwang, M. H. Song, B. Park, S. Nishimura, T. Toyooka, J. W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe, “Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions,” Nature Mater. 4, 383–387 (2005).
[Crossref]

X. S. Lin, W. Q. Wu, H. Zhou, K. F. Zhou, and S. Lan, “Enhancement of unidirectional transmission through the coupling of nonlinear photonic crystal defects,” Opt. Express 14, 2429–2439(2006).
[Crossref] [PubMed]

Andrey E. Miroshnichenko, Igor Pinkevych, and Yuri S. Kivshar, “Tunable all-optical switching in periodic structures with liquid-crystal defects,” Opt. Express 14, 2839–2844(2006).
[Crossref] [PubMed]

A. Alberucci and G. Assanto, “All-optical isolation by directional coupling,” Opt. Lett. 33, 1641–1643 (2008).
[Crossref] [PubMed]

S. Pereira, P. Chak, J. E. Sipe, L. Tkeshelashvili, and K. Busch, “All-optical diode in an asymmetrically apodized Kerr nonlinear microresonator system,” Photonics Nanostruct. Fundam. Appl. 2, 181–190 (2004).
[Crossref]

E. Centeno and D. Felbacq, “Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavity,” Phys. Rev. B 62, R7683–R7686 (2000).
[Crossref]

E. Lidorikis and C. M. Soukoulis, “Pulse-driven switching in one-dimensional nonlinear photonic band gap materials: a numerical study,” Phys. Rev. E 61, 5825–5829 (2000).
[Crossref]

M. Soljačić, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, “Optimal bistable switching in nonlinear photonic crystals,” Phys. Rev. E 66, 055601(R) (2002).

M. W. Feise, I. V. Shadrivov, and Yuri S. Kivshar, “Bistable diode action in left-handed periodic structures,” Phys. Rev. E 71, 037602 (2005).
[Crossref]

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, Norwood, MA, 2000). In this paper, a commercial software developed by Rsoft Design Group (http://www.rsoftdesign.com) is used for nonlinear FDTD simulations.