A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M. G. A. Paris, and E. Puddu, “Quantum and classical properties of the fields generated by two interlinked second-order non-linear interactions,” J. Mod. Opt. 51, 1031–1036 (2004).

M. Bondani, A. Allevi, E. Puddu, A. Andreoni, A. Ferraro, and M. G. A. Paris, “Properties of two interlinked χ^{(2)} interactions in noncollinear phase matching,” Opt. Lett. 29, 180–182 (2004).

X. Zhang, Y. Wang, J. Sun, D. Liu, and D. Huang, “All-optical AND gate at 10 Gbit/s based on cascaded single-port-coupled SOAs,” Opt. Express 12, 361–366 (2004).

M. Bondani, A. Allevi, A. Brega, E. Puddu, and A. Andreoni, “Difference-frequency-generated holograms of two-dimensional objects,” J. Opt. Soc. Am. B 21, 280–288 (2004).

Y. Huang, S. T. Wu, and Y. Zhao, “All-optical switching characteristic in bacteriorhodopsin and its applications in integrated optics,” Opt. Express 12, 895–906 (2004).

M. Bondani, A. Allevi, and A. Andreoni, “Holography by nondegenerate χ^{(2)} interactions,” J. Opt. Soc. Am. B 20, 1–13 (2003).

S. Pereira, P. Chak, and J. E. Sipe, “All-optical AND gate by use of a Kerr nonlinear microresonator structure,” Opt. Lett. 28, 444–446 (2003).

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, “All-optical half adder using semiconductor optical amplifier based devices,” Opt. Commun. 218, 345–349 (2003).

P. Wen, M. Sanchez, M. Gross, and S. Esener, “Vertical-cavity optical AND gate,” Opt. Commun. 219, 383–387 (2003).

C. P. Singh and S. Roy, “All-optical switching in bacteriorhodopsin based on M state dynamics and its application to photonic logic gates,” Opt. Commun. 218, 55–66 (2003).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335–3337 (2002).

H. Soto, J. Topomonzo, D. Erasme, G. Guekos, and M. Castro, “Experimental demonstration of all-optical logic gates using cross-polarization modulation in a semiconductor optical amplifier,” in Smart Structure, Devices, and Systems, E. C. Harvey, D. Abbott, and V. K. Varadan, eds., Proc. SPIE 4935, 495–502 (2002).

G. I. Petrov, O. Albert, N. Minkovski, J. Etchepare, and S. M. Saltiel, “Experimental and theoretical investigation of generation of a cross-polarized wave by cascading of two different second-order processes,” J. Opt. Soc. Am. B 19, 268–279 (2002).

S. M. Saltiel and Y. S. Kivshar, “All-optical deflection and splitting by second-order cascading,” Opt. Lett. 27, 921–923 (2002).

M. Soljaceić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of nonlinear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).

N. Minkovski, S. M. Saltiel, G. I. Petrov, O. Albert, and J. Etchepare, “Polarization rotation induced by cascaded third-order processes,” Opt. Lett. 27, 2025–2027 (2002).

P. O. Hedekvist, A. Bhardwaj, K. Vahala, and H. Andersson, “Advanced all-optical logic gates on a spectral bus,” Appl. Opt. 40, 1761–1766 (2001).

A. Chowdhury, C. Staus, B. F. Boland, T. F. Kuech, and L. McCaughan, “Experimental demonstration of 1535–1555-nm simultaneous optical wavelength interchange with a nonlinear photonic crystal,” Opt. Lett. 26, 1353–1355 (2001).

L. Brzozowski and E. H. Sargent, “All-optical analog-to-digital converters, hardlimiters, and logic gates,” J. Lightwave Technol. 19, 114–119 (2001).

A. Andreoni, M. Bondani, M. C. A. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra operations performed on optical bits by the generation of holographic fields through second-order nonlinear interactions,” Rev. Sci. Instrum. 72, 2525–2531 (2001).

G. S. Kanter, P. Kumar, K. R. Parameswaran, and M. M. Fejer, “Wavelength-selective pulsed all-optical switching based on cascaded second-order nonlinearity in a periodically poled lithium-niobate waveguide,” IEEE Photonics Technol. Lett. 13, 341–343 (2001).

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–643 (2000).

L. Brzozowski and E. H. Sargent, “Optical signal processing using nonlinear distributed feedback structures,” IEEE J. Quantum Electron. 36, 550–555 (2000).

K. R. Parameswaran, M. Fujimura, M. H. Chou, and M. M. Fejer, “Low-power all-optical gate based on sum frequency mixing in APE waveguides in PPLN,” IEEE Photonics Technol. Lett. 12, 654–656 (2000).

A. Andreoni, M. Bondani, and M. C. A. Potenza, “Combination tasks performed by second-harmonic-generated holograms,” Opt. Lett. 25, 1570–1572 (2000).

M. Shirakawa, T. Takemori, and J. Ohtsubo, “Optical computing based on a selector logic,” Opt. Commun. 124, 333–344 (1996).

S. A. Collins, Jr., “Application of liquid crystals to optical logic gates,” in Liquid Crystal Chemistry, Physics, and Applications, J. W. Doane and Z. Yaniv, eds., Proc. SPIE 1080, 72–82 (1989).

Y. Takaki and H. Ohzu, “Optical logic operations by holographic filters,” Jpn. J. Opt. 16, 345–351 (1987).

F. T. S. Yu, S. Jutamulia, and D. A. Gregory, “Optical parallel logic gates using inexpensive liquid-crystal televisions,” Opt. Lett. 12, 1050–1052 (1987).

A. H. Khan and U. R. Nejib, “Optical logic gates employing liquid-crystal optical switches,” Appl. Opt. 26, 270–273 (1987).

G. I. Petrov, O. Albert, N. Minkovski, J. Etchepare, and S. M. Saltiel, “Experimental and theoretical investigation of generation of a cross-polarized wave by cascading of two different second-order processes,” J. Opt. Soc. Am. B 19, 268–279 (2002).

N. Minkovski, S. M. Saltiel, G. I. Petrov, O. Albert, and J. Etchepare, “Polarization rotation induced by cascaded third-order processes,” Opt. Lett. 27, 2025–2027 (2002).

M. Bondani, A. Allevi, A. Brega, E. Puddu, and A. Andreoni, “Difference-frequency-generated holograms of two-dimensional objects,” J. Opt. Soc. Am. B 21, 280–288 (2004).

A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M. G. A. Paris, and E. Puddu, “Quantum and classical properties of the fields generated by two interlinked second-order non-linear interactions,” J. Mod. Opt. 51, 1031–1036 (2004).

M. Bondani, A. Allevi, E. Puddu, A. Andreoni, A. Ferraro, and M. G. A. Paris, “Properties of two interlinked χ^{(2)} interactions in noncollinear phase matching,” Opt. Lett. 29, 180–182 (2004).

M. Bondani, A. Allevi, and A. Andreoni, “Holography by nondegenerate χ^{(2)} interactions,” J. Opt. Soc. Am. B 20, 1–13 (2003).

M. Bondani, A. Allevi, E. Puddu, A. Andreoni, A. Ferraro, and M. G. A. Paris, “Properties of two interlinked χ^{(2)} interactions in noncollinear phase matching,” Opt. Lett. 29, 180–182 (2004).

A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M. G. A. Paris, and E. Puddu, “Quantum and classical properties of the fields generated by two interlinked second-order non-linear interactions,” J. Mod. Opt. 51, 1031–1036 (2004).

M. Bondani, A. Allevi, A. Brega, E. Puddu, and A. Andreoni, “Difference-frequency-generated holograms of two-dimensional objects,” J. Opt. Soc. Am. B 21, 280–288 (2004).

M. Bondani, A. Allevi, and A. Andreoni, “Holography by nondegenerate χ^{(2)} interactions,” J. Opt. Soc. Am. B 20, 1–13 (2003).

A. Andreoni, M. Bondani, M. C. A. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra operations performed on optical bits by the generation of holographic fields through second-order nonlinear interactions,” Rev. Sci. Instrum. 72, 2525–2531 (2001).

A. Andreoni, M. Bondani, and M. C. A. Potenza, “Combination tasks performed by second-harmonic-generated holograms,” Opt. Lett. 25, 1570–1572 (2000).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335–3337 (2002).

A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M. G. A. Paris, and E. Puddu, “Quantum and classical properties of the fields generated by two interlinked second-order non-linear interactions,” J. Mod. Opt. 51, 1031–1036 (2004).

M. Bondani, A. Allevi, E. Puddu, A. Andreoni, A. Ferraro, and M. G. A. Paris, “Properties of two interlinked χ^{(2)} interactions in noncollinear phase matching,” Opt. Lett. 29, 180–182 (2004).

M. Bondani, A. Allevi, A. Brega, E. Puddu, and A. Andreoni, “Difference-frequency-generated holograms of two-dimensional objects,” J. Opt. Soc. Am. B 21, 280–288 (2004).

M. Bondani, A. Allevi, and A. Andreoni, “Holography by nondegenerate χ^{(2)} interactions,” J. Opt. Soc. Am. B 20, 1–13 (2003).

A. Andreoni, M. Bondani, M. C. A. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra operations performed on optical bits by the generation of holographic fields through second-order nonlinear interactions,” Rev. Sci. Instrum. 72, 2525–2531 (2001).

A. Andreoni, M. Bondani, and M. C. A. Potenza, “Combination tasks performed by second-harmonic-generated holograms,” Opt. Lett. 25, 1570–1572 (2000).

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, “All-optical half adder using semiconductor optical amplifier based devices,” Opt. Commun. 218, 345–349 (2003).

H. Soto, J. Topomonzo, D. Erasme, G. Guekos, and M. Castro, “Experimental demonstration of all-optical logic gates using cross-polarization modulation in a semiconductor optical amplifier,” in Smart Structure, Devices, and Systems, E. C. Harvey, D. Abbott, and V. K. Varadan, eds., Proc. SPIE 4935, 495–502 (2002).

K. R. Parameswaran, M. Fujimura, M. H. Chou, and M. M. Fejer, “Low-power all-optical gate based on sum frequency mixing in APE waveguides in PPLN,” IEEE Photonics Technol. Lett. 12, 654–656 (2000).

S. A. Collins, Jr., “Application of liquid crystals to optical logic gates,” in Liquid Crystal Chemistry, Physics, and Applications, J. W. Doane and Z. Yaniv, eds., Proc. SPIE 1080, 72–82 (1989).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335–3337 (2002).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335–3337 (2002).

A. Andreoni, M. Bondani, M. C. A. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra operations performed on optical bits by the generation of holographic fields through second-order nonlinear interactions,” Rev. Sci. Instrum. 72, 2525–2531 (2001).

H. Soto, J. Topomonzo, D. Erasme, G. Guekos, and M. Castro, “Experimental demonstration of all-optical logic gates using cross-polarization modulation in a semiconductor optical amplifier,” in Smart Structure, Devices, and Systems, E. C. Harvey, D. Abbott, and V. K. Varadan, eds., Proc. SPIE 4935, 495–502 (2002).

P. Wen, M. Sanchez, M. Gross, and S. Esener, “Vertical-cavity optical AND gate,” Opt. Commun. 219, 383–387 (2003).

N. Minkovski, S. M. Saltiel, G. I. Petrov, O. Albert, and J. Etchepare, “Polarization rotation induced by cascaded third-order processes,” Opt. Lett. 27, 2025–2027 (2002).

G. I. Petrov, O. Albert, N. Minkovski, J. Etchepare, and S. M. Saltiel, “Experimental and theoretical investigation of generation of a cross-polarized wave by cascading of two different second-order processes,” J. Opt. Soc. Am. B 19, 268–279 (2002).

G. S. Kanter, P. Kumar, K. R. Parameswaran, and M. M. Fejer, “Wavelength-selective pulsed all-optical switching based on cascaded second-order nonlinearity in a periodically poled lithium-niobate waveguide,” IEEE Photonics Technol. Lett. 13, 341–343 (2001).

K. R. Parameswaran, M. Fujimura, M. H. Chou, and M. M. Fejer, “Low-power all-optical gate based on sum frequency mixing in APE waveguides in PPLN,” IEEE Photonics Technol. Lett. 12, 654–656 (2000).

R. Schiek, L. Friedrich, H. Fang, G. I. Stegeman, K. R. Parameswaran, M.-H. Chou, and M. M. Fejer, “Nonlinear directional coupler in periodically poled lithium niobate,” Opt. Lett. 24, 1617–1619 (1999).

M. Bondani, A. Allevi, E. Puddu, A. Andreoni, A. Ferraro, and M. G. A. Paris, “Properties of two interlinked χ^{(2)} interactions in noncollinear phase matching,” Opt. Lett. 29, 180–182 (2004).

A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M. G. A. Paris, and E. Puddu, “Quantum and classical properties of the fields generated by two interlinked second-order non-linear interactions,” J. Mod. Opt. 51, 1031–1036 (2004).

K. R. Parameswaran, M. Fujimura, M. H. Chou, and M. M. Fejer, “Low-power all-optical gate based on sum frequency mixing in APE waveguides in PPLN,” IEEE Photonics Technol. Lett. 12, 654–656 (2000).

P. Wen, M. Sanchez, M. Gross, and S. Esener, “Vertical-cavity optical AND gate,” Opt. Commun. 219, 383–387 (2003).

H. Soto, J. Topomonzo, D. Erasme, G. Guekos, and M. Castro, “Experimental demonstration of all-optical logic gates using cross-polarization modulation in a semiconductor optical amplifier,” in Smart Structure, Devices, and Systems, E. C. Harvey, D. Abbott, and V. K. Varadan, eds., Proc. SPIE 4935, 495–502 (2002).

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–643 (2000).

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, “All-optical half adder using semiconductor optical amplifier based devices,” Opt. Commun. 218, 345–349 (2003).

G. S. Kanter, P. Kumar, K. R. Parameswaran, and M. M. Fejer, “Wavelength-selective pulsed all-optical switching based on cascaded second-order nonlinearity in a periodically poled lithium-niobate waveguide,” IEEE Photonics Technol. Lett. 13, 341–343 (2001).

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–643 (2000).

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, “All-optical half adder using semiconductor optical amplifier based devices,” Opt. Commun. 218, 345–349 (2003).

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, “All-optical half adder using semiconductor optical amplifier based devices,” Opt. Commun. 218, 345–349 (2003).

G. S. Kanter, P. Kumar, K. R. Parameswaran, and M. M. Fejer, “Wavelength-selective pulsed all-optical switching based on cascaded second-order nonlinearity in a periodically poled lithium-niobate waveguide,” IEEE Photonics Technol. Lett. 13, 341–343 (2001).

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, “All-optical half adder using semiconductor optical amplifier based devices,” Opt. Commun. 218, 345–349 (2003).

N. Minkovski, S. M. Saltiel, G. I. Petrov, O. Albert, and J. Etchepare, “Polarization rotation induced by cascaded third-order processes,” Opt. Lett. 27, 2025–2027 (2002).

G. I. Petrov, O. Albert, N. Minkovski, J. Etchepare, and S. M. Saltiel, “Experimental and theoretical investigation of generation of a cross-polarized wave by cascading of two different second-order processes,” J. Opt. Soc. Am. B 19, 268–279 (2002).

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–643 (2000).

M. Shirakawa, T. Takemori, and J. Ohtsubo, “Optical computing based on a selector logic,” Opt. Commun. 124, 333–344 (1996).

G. S. Kanter, P. Kumar, K. R. Parameswaran, and M. M. Fejer, “Wavelength-selective pulsed all-optical switching based on cascaded second-order nonlinearity in a periodically poled lithium-niobate waveguide,” IEEE Photonics Technol. Lett. 13, 341–343 (2001).

K. R. Parameswaran, M. Fujimura, M. H. Chou, and M. M. Fejer, “Low-power all-optical gate based on sum frequency mixing in APE waveguides in PPLN,” IEEE Photonics Technol. Lett. 12, 654–656 (2000).

R. Schiek, L. Friedrich, H. Fang, G. I. Stegeman, K. R. Parameswaran, M.-H. Chou, and M. M. Fejer, “Nonlinear directional coupler in periodically poled lithium niobate,” Opt. Lett. 24, 1617–1619 (1999).

A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M. G. A. Paris, and E. Puddu, “Quantum and classical properties of the fields generated by two interlinked second-order non-linear interactions,” J. Mod. Opt. 51, 1031–1036 (2004).

M. Bondani, A. Allevi, E. Puddu, A. Andreoni, A. Ferraro, and M. G. A. Paris, “Properties of two interlinked χ^{(2)} interactions in noncollinear phase matching,” Opt. Lett. 29, 180–182 (2004).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335–3337 (2002).

G. I. Petrov, O. Albert, N. Minkovski, J. Etchepare, and S. M. Saltiel, “Experimental and theoretical investigation of generation of a cross-polarized wave by cascading of two different second-order processes,” J. Opt. Soc. Am. B 19, 268–279 (2002).

N. Minkovski, S. M. Saltiel, G. I. Petrov, O. Albert, and J. Etchepare, “Polarization rotation induced by cascaded third-order processes,” Opt. Lett. 27, 2025–2027 (2002).

A. Andreoni, M. Bondani, M. C. A. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra operations performed on optical bits by the generation of holographic fields through second-order nonlinear interactions,” Rev. Sci. Instrum. 72, 2525–2531 (2001).

A. Andreoni, M. Bondani, and M. C. A. Potenza, “Combination tasks performed by second-harmonic-generated holograms,” Opt. Lett. 25, 1570–1572 (2000).

A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M. G. A. Paris, and E. Puddu, “Quantum and classical properties of the fields generated by two interlinked second-order non-linear interactions,” J. Mod. Opt. 51, 1031–1036 (2004).

M. Bondani, A. Allevi, E. Puddu, A. Andreoni, A. Ferraro, and M. G. A. Paris, “Properties of two interlinked χ^{(2)} interactions in noncollinear phase matching,” Opt. Lett. 29, 180–182 (2004).

M. Bondani, A. Allevi, A. Brega, E. Puddu, and A. Andreoni, “Difference-frequency-generated holograms of two-dimensional objects,” J. Opt. Soc. Am. B 21, 280–288 (2004).

A. Andreoni, M. Bondani, M. C. A. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra operations performed on optical bits by the generation of holographic fields through second-order nonlinear interactions,” Rev. Sci. Instrum. 72, 2525–2531 (2001).

C. P. Singh and S. Roy, “All-optical switching in bacteriorhodopsin based on M state dynamics and its application to photonic logic gates,” Opt. Commun. 218, 55–66 (2003).

G. I. Petrov, O. Albert, N. Minkovski, J. Etchepare, and S. M. Saltiel, “Experimental and theoretical investigation of generation of a cross-polarized wave by cascading of two different second-order processes,” J. Opt. Soc. Am. B 19, 268–279 (2002).

S. M. Saltiel and Y. S. Kivshar, “All-optical deflection and splitting by second-order cascading,” Opt. Lett. 27, 921–923 (2002).

N. Minkovski, S. M. Saltiel, G. I. Petrov, O. Albert, and J. Etchepare, “Polarization rotation induced by cascaded third-order processes,” Opt. Lett. 27, 2025–2027 (2002).

P. Wen, M. Sanchez, M. Gross, and S. Esener, “Vertical-cavity optical AND gate,” Opt. Commun. 219, 383–387 (2003).

M. Shirakawa, T. Takemori, and J. Ohtsubo, “Optical computing based on a selector logic,” Opt. Commun. 124, 333–344 (1996).

C. P. Singh and S. Roy, “All-optical switching in bacteriorhodopsin based on M state dynamics and its application to photonic logic gates,” Opt. Commun. 218, 55–66 (2003).

H. Soto, J. Topomonzo, D. Erasme, G. Guekos, and M. Castro, “Experimental demonstration of all-optical logic gates using cross-polarization modulation in a semiconductor optical amplifier,” in Smart Structure, Devices, and Systems, E. C. Harvey, D. Abbott, and V. K. Varadan, eds., Proc. SPIE 4935, 495–502 (2002).

M. Shirakawa, T. Takemori, and J. Ohtsubo, “Optical computing based on a selector logic,” Opt. Commun. 124, 333–344 (1996).

H. Soto, J. Topomonzo, D. Erasme, G. Guekos, and M. Castro, “Experimental demonstration of all-optical logic gates using cross-polarization modulation in a semiconductor optical amplifier,” in Smart Structure, Devices, and Systems, E. C. Harvey, D. Abbott, and V. K. Varadan, eds., Proc. SPIE 4935, 495–502 (2002).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335–3337 (2002).

P. Wen, M. Sanchez, M. Gross, and S. Esener, “Vertical-cavity optical AND gate,” Opt. Commun. 219, 383–387 (2003).

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, “All-optical half adder using semiconductor optical amplifier based devices,” Opt. Commun. 218, 345–349 (2003).

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–643 (2000).

A. H. Khan and U. R. Nejib, “Optical logic gates employing liquid-crystal optical switches,” Appl. Opt. 26, 270–273 (1987).

Y. Takaki and H. Ohzu, “Optical half-adder using wavefront superposition,” Appl. Opt. 29, 4351–4358 (1990).

P. O. Hedekvist, A. Bhardwaj, K. Vahala, and H. Andersson, “Advanced all-optical logic gates on a spectral bus,” Appl. Opt. 40, 1761–1766 (2001).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335–3337 (2002).

L. Brzozowski and E. H. Sargent, “Optical signal processing using nonlinear distributed feedback structures,” IEEE J. Quantum Electron. 36, 550–555 (2000).

K. R. Parameswaran, M. Fujimura, M. H. Chou, and M. M. Fejer, “Low-power all-optical gate based on sum frequency mixing in APE waveguides in PPLN,” IEEE Photonics Technol. Lett. 12, 654–656 (2000).

G. S. Kanter, P. Kumar, K. R. Parameswaran, and M. M. Fejer, “Wavelength-selective pulsed all-optical switching based on cascaded second-order nonlinearity in a periodically poled lithium-niobate waveguide,” IEEE Photonics Technol. Lett. 13, 341–343 (2001).

A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M. G. A. Paris, and E. Puddu, “Quantum and classical properties of the fields generated by two interlinked second-order non-linear interactions,” J. Mod. Opt. 51, 1031–1036 (2004).

G. I. Petrov, O. Albert, N. Minkovski, J. Etchepare, and S. M. Saltiel, “Experimental and theoretical investigation of generation of a cross-polarized wave by cascading of two different second-order processes,” J. Opt. Soc. Am. B 19, 268–279 (2002).

M. Soljaceić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of nonlinear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).

M. Bondani, A. Allevi, and A. Andreoni, “Holography by nondegenerate χ^{(2)} interactions,” J. Opt. Soc. Am. B 20, 1–13 (2003).

M. Bondani, A. Allevi, A. Brega, E. Puddu, and A. Andreoni, “Difference-frequency-generated holograms of two-dimensional objects,” J. Opt. Soc. Am. B 21, 280–288 (2004).

Y. Takaki and H. Ohzu, “Optical logic operations by holographic filters,” Jpn. J. Opt. 16, 345–351 (1987).

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–643 (2000).

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, “All-optical half adder using semiconductor optical amplifier based devices,” Opt. Commun. 218, 345–349 (2003).

P. Wen, M. Sanchez, M. Gross, and S. Esener, “Vertical-cavity optical AND gate,” Opt. Commun. 219, 383–387 (2003).

C. P. Singh and S. Roy, “All-optical switching in bacteriorhodopsin based on M state dynamics and its application to photonic logic gates,” Opt. Commun. 218, 55–66 (2003).

M. Shirakawa, T. Takemori, and J. Ohtsubo, “Optical computing based on a selector logic,” Opt. Commun. 124, 333–344 (1996).

Y. Huang, S. T. Wu, and Y. Zhao, “All-optical switching characteristic in bacteriorhodopsin and its applications in integrated optics,” Opt. Express 12, 895–906 (2004).

X. Zhang, Y. Wang, J. Sun, D. Liu, and D. Huang, “All-optical AND gate at 10 Gbit/s based on cascaded single-port-coupled SOAs,” Opt. Express 12, 361–366 (2004).

S. Pereira, P. Chak, and J. E. Sipe, “All-optical AND gate by use of a Kerr nonlinear microresonator structure,” Opt. Lett. 28, 444–446 (2003).

M. Bondani, A. Allevi, E. Puddu, A. Andreoni, A. Ferraro, and M. G. A. Paris, “Properties of two interlinked χ^{(2)} interactions in noncollinear phase matching,” Opt. Lett. 29, 180–182 (2004).

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