M. Scaffardi, N. Andriolli, G. Meloni, G. Berrettini, F. Fresi, P. Castoldi, L. Potì, A. Bogoni, "Photonic combinatorial network for contention
management in 160 Gb/s interconnection networks based on all-optical 2$\,\times\,$2 switching
elements," IEEE J. Sel. Topics Quantum Electron. 13, 1531-1539 (2007).

H. Furukawa, A. Nirmalathas, N. Wada, S. H. Shinada, "Tunable all-optical wavelength conversion
of 160-Gb/s RZ optical signals by cascaded SFG-DFG generation in PPLN waveguide," IEEE Photon. Technol. Lett. 19, 384-386 (2007).

J. E. McGeehan, J. E. Mcgeehan, M. Giltrelli, A. E. Willner, "All-optical digital 3-input and gate using sum- and difference-frequency
generation in PPLN waveguide," Electron. Lett. 43, (2007).

J. Wang, J. Sun, Q. Sun, "Single-PPLN-based simultaneous half-adder, half-subtracter,
and or logic gate: Proposal and
simulation," Optics Express 15, (2007).

S. Kumar, A. E. Willner, D. Gurkan, K. R. Parameswaran, M. M. Fejer, "All-optical half adder using
an SOA and a PPLN waveguide for signal processing in optical networks," Optics Express 14, (2006).

C. Langrock, S. Kumar, J. E. McGeehan, A. E. Willner, M. M. Fejer, "All optical signal processing using $\chi 2$ nonlinearities
in guided-wave devices," J. Lightw. Technol. 24, 2579-2592 (2006).

C. Liberale, I. Cristiani, V. Degiorgio, M. Marangoni, G. Galzerano, R. Ramponi, "Cross-phase modulation due
to a cascade of quadratic interactions in a PPLN waveguide," IEEE J. Sel. Topics Quantum Electron. 12, 405-411 (2006).

E. J. M. Verdurmen, Y. Zhao, E. Tangdiongga, J. P. Turkiewicz, G. D. Khoe, H. de Waardt, "Error-free all-optical add-drop multiplexing
using HNLF in a NOLM at 160 Gbit/s," Electron.
Lett. 41, 349-350 (2005).

A. Bogoni, L. Poti, R. Proietti, G. Meloni, F. Ponzini, P. Ghelfi, "Regenerative and reconfigurable all-optical
logic gates for ultra-fast applications," Electron.
Lett. 41, 435-436 (2005).

H. J. S. Dorren, X. Yang, A. K. Mishra, Z. Li, H. Ju, H. de Waardt, G.-D. Khoe, T. Simoyama, H. Ishikawa, H. Kawashima, T. Hasama, "All-optical logic based on
ultrafast gain and index dynamics in a semiconductor optical amplifier," IEEE J. Sel. Topics Quantum Electron. 10, 1079-1092 (2004).

H.-F. Chou, J. E. Bowers, D. J. Blumenthal, "Compact 160-Gb/s add-drop multiplexer
with a 40-Gb/s base rate using electroabsorption modulators," IEEE Photon. Technol. Lett. 16, 1564-1566 (2004).

R. P. Webb, R. P. Webb, R. J. Manning, G. D. Maxwell, A. J. Poustie, "40 Gbit/s all-optical xor gate based on hybrid-integrated Mach–Zehnder
interferometer," Electron. Lett. 39, 79-81 (2003).

C. Schubert, C. Schmidt, S. Ferber, R. Ludwig, H. G. Weber, "Error-free all-optical add-drop
multiplexing at 160 Gbit/s," Electron. Lett. 39, 1074-1076 (2003).

A. Ibrahim, R. Grover, L. C. Kuo, S. Kanakaraju, L. C. Calhoun, P. T. Ho, "All-optical and/nand logic gates using semiconductor microresonators," IEEE Photon. Technol. Lett. 15, 1422-1424 (2003).

J. Sun, W. Liu, J. Tian, J. R. Kurz, M. M. Fejer, "Multichannel wavelength conversion exploiting cascaded second-order
nonlinearity in LiNbO$_{3}$ waveguides," IEEE Photon. Technol.
Lett. 15, 1743-1745 (2003).

Y. Fukuchi, T. Sakamoto, K. Taira, K. Kikuchi, "All-optical time-division demultiplexing
of 160 Gbit/s signal using cascaded second-order nonlinear effect in quasi-phase
matched LiNbO$_{3}$ waveguide device," Electron. Lett. 39, (2003).

R. L. Jungerman, G. Lee, O. Buccafusca, Y. Kaneko, N. Itagaki, R. Shioda, A. Harada, Y. Nihei, G. Sucha, "1-THz bandwidth C- and L-band optical sampling with a bit
rate agile timebase," IEEE Photon. Technol.
Lett. 14, 1148-1150 (2002).

I. Brener, B. Mikkelsen, G. Raybon, R. Harel, K. Parameswaran, J. R. Kurz, M. M. Fejer, "160 Gbit/s wavelength shifting and phase
conjugation using periodically poled LiNbO$_{3}$ waveguide parametric converter," Electron. Lett. 36, 1788-1789 (2000).

K. E. Stubkjaer, "Semiconductor optical amplifier-based
all-optical gates for high-speed optical processing," IEEE
J. Sel. Topics Quantum Electron. 6, 1428-1435 (2000).

H. Kanbara, H. Itoh, M. Asobe, K. Noguchi, H. Miyazawa, T. Yanagawa, I. Yokohama, "All-optical switching based on cascading of second-order
nonlinearities in a periodically poled titanium-diffused lithium-niobate waveguide," IEEE Photon. Technol. Lett. 11, 328-330 (1999).

K. L. Hall, K. A. Rauschenbach, "100-Gbitsbitwise logic," Optics Lett. 23, 1271-1273 (1998).

K. H. Ahn, X. D. Cao, Y. Liang, B. C. Barnett, S. Chaikamnerd, M. N. Islam, "Cascadability and functionality of all-optical
low-birefringent nonlinear optical loop mirror: Experimental demonstration," JOSA-B 14, 1228-1236 (1997).

B. Lu, Y. C. Lu, J. Cheng, M. J. Hafich, J. Klem, J. C. Zolper, "High-speed,
cascaded optical logic operations using programmable optical logic gate arrays," IEEE Photon. Technol. Lett. 8, 166-168 (1996).

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, P. R. Prucnal, "Ultrafast soliton-trapping and gate," J. Lightw. Technol. 10, 2011-2016 (1992).

E. J. M. Verdurmen, Y. Zhao, E. Tangdiongga, J. P. Turkiewicz, G. D. Khoe, H. de Waardt, "Error-free all-optical add-drop multiplexing
using HNLF in a NOLM at 160 Gbit/s," Electron.
Lett. 41, 349-350 (2005).

A. Bogoni, L. Poti, R. Proietti, G. Meloni, F. Ponzini, P. Ghelfi, "Regenerative and reconfigurable all-optical
logic gates for ultra-fast applications," Electron.
Lett. 41, 435-436 (2005).

C. Schubert, C. Schmidt, S. Ferber, R. Ludwig, H. G. Weber, "Error-free all-optical add-drop
multiplexing at 160 Gbit/s," Electron. Lett. 39, 1074-1076 (2003).

R. P. Webb, R. P. Webb, R. J. Manning, G. D. Maxwell, A. J. Poustie, "40 Gbit/s all-optical xor gate based on hybrid-integrated Mach–Zehnder
interferometer," Electron. Lett. 39, 79-81 (2003).

Y. Fukuchi, T. Sakamoto, K. Taira, K. Kikuchi, "All-optical time-division demultiplexing
of 160 Gbit/s signal using cascaded second-order nonlinear effect in quasi-phase
matched LiNbO$_{3}$ waveguide device," Electron. Lett. 39, (2003).

I. Brener, B. Mikkelsen, G. Raybon, R. Harel, K. Parameswaran, J. R. Kurz, M. M. Fejer, "160 Gbit/s wavelength shifting and phase
conjugation using periodically poled LiNbO$_{3}$ waveguide parametric converter," Electron. Lett. 36, 1788-1789 (2000).

J. E. McGeehan, J. E. Mcgeehan, M. Giltrelli, A. E. Willner, "All-optical digital 3-input and gate using sum- and difference-frequency
generation in PPLN waveguide," Electron. Lett. 43, (2007).

K. E. Stubkjaer, "Semiconductor optical amplifier-based
all-optical gates for high-speed optical processing," IEEE
J. Sel. Topics Quantum Electron. 6, 1428-1435 (2000).

H. J. S. Dorren, X. Yang, A. K. Mishra, Z. Li, H. Ju, H. de Waardt, G.-D. Khoe, T. Simoyama, H. Ishikawa, H. Kawashima, T. Hasama, "All-optical logic based on
ultrafast gain and index dynamics in a semiconductor optical amplifier," IEEE J. Sel. Topics Quantum Electron. 10, 1079-1092 (2004).

M. Scaffardi, N. Andriolli, G. Meloni, G. Berrettini, F. Fresi, P. Castoldi, L. Potì, A. Bogoni, "Photonic combinatorial network for contention
management in 160 Gb/s interconnection networks based on all-optical 2$\,\times\,$2 switching
elements," IEEE J. Sel. Topics Quantum Electron. 13, 1531-1539 (2007).

C. Liberale, I. Cristiani, V. Degiorgio, M. Marangoni, G. Galzerano, R. Ramponi, "Cross-phase modulation due
to a cascade of quadratic interactions in a PPLN waveguide," IEEE J. Sel. Topics Quantum Electron. 12, 405-411 (2006).

J. Sun, W. Liu, J. Tian, J. R. Kurz, M. M. Fejer, "Multichannel wavelength conversion exploiting cascaded second-order
nonlinearity in LiNbO$_{3}$ waveguides," IEEE Photon. Technol.
Lett. 15, 1743-1745 (2003).

R. L. Jungerman, G. Lee, O. Buccafusca, Y. Kaneko, N. Itagaki, R. Shioda, A. Harada, Y. Nihei, G. Sucha, "1-THz bandwidth C- and L-band optical sampling with a bit
rate agile timebase," IEEE Photon. Technol.
Lett. 14, 1148-1150 (2002).

H. Furukawa, A. Nirmalathas, N. Wada, S. H. Shinada, "Tunable all-optical wavelength conversion
of 160-Gb/s RZ optical signals by cascaded SFG-DFG generation in PPLN waveguide," IEEE Photon. Technol. Lett. 19, 384-386 (2007).

H. Kanbara, H. Itoh, M. Asobe, K. Noguchi, H. Miyazawa, T. Yanagawa, I. Yokohama, "All-optical switching based on cascading of second-order
nonlinearities in a periodically poled titanium-diffused lithium-niobate waveguide," IEEE Photon. Technol. Lett. 11, 328-330 (1999).

B. Lu, Y. C. Lu, J. Cheng, M. J. Hafich, J. Klem, J. C. Zolper, "High-speed,
cascaded optical logic operations using programmable optical logic gate arrays," IEEE Photon. Technol. Lett. 8, 166-168 (1996).

H.-F. Chou, J. E. Bowers, D. J. Blumenthal, "Compact 160-Gb/s add-drop multiplexer
with a 40-Gb/s base rate using electroabsorption modulators," IEEE Photon. Technol. Lett. 16, 1564-1566 (2004).

A. Ibrahim, R. Grover, L. C. Kuo, S. Kanakaraju, L. C. Calhoun, P. T. Ho, "All-optical and/nand logic gates using semiconductor microresonators," IEEE Photon. Technol. Lett. 15, 1422-1424 (2003).

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, P. R. Prucnal, "Ultrafast soliton-trapping and gate," J. Lightw. Technol. 10, 2011-2016 (1992).

C. Langrock, S. Kumar, J. E. McGeehan, A. E. Willner, M. M. Fejer, "All optical signal processing using $\chi 2$ nonlinearities
in guided-wave devices," J. Lightw. Technol. 24, 2579-2592 (2006).

K. H. Ahn, X. D. Cao, Y. Liang, B. C. Barnett, S. Chaikamnerd, M. N. Islam, "Cascadability and functionality of all-optical
low-birefringent nonlinear optical loop mirror: Experimental demonstration," JOSA-B 14, 1228-1236 (1997).

S. Kumar, A. E. Willner, D. Gurkan, K. R. Parameswaran, M. M. Fejer, "All-optical half adder using
an SOA and a PPLN waveguide for signal processing in optical networks," Optics Express 14, (2006).

J. Wang, J. Sun, Q. Sun, "Single-PPLN-based simultaneous half-adder, half-subtracter,
and or logic gate: Proposal and
simulation," Optics Express 15, (2007).

K. L. Hall, K. A. Rauschenbach, "100-Gbitsbitwise logic," Optics Lett. 23, 1271-1273 (1998).

A. Siahlo, A. T. Clausen, L. K. Oxenlowe, J. Seoane, P. Jeppesen, "640 Gb/s OTDM transmission
and demultiplexing using a NOLM with commercially available highly non-linear
fiber," Proc. CLEO (2005) pp. 883-885.

G. R. Collecutt, P. D. Drummond, "Digital response in an all
optical and gate using parametric $(\chi(2))$ solitons," Proc. CLEO (2000) pp. 194-195.

S. Kumar, A. E. Willner, "All optical gate using simultaneous
four-wave mixing and cross-gain modulation in an SOA," Proc.
LEOS (2004) pp. 913-914.

B. E. Olsson, P. A. Andrekson, "Polarization-independent all-optical and-gate using randomly birefringent fiber
in a nonlinear optical loop mirror," Proc. OFC (1998) pp. 375-376.

A. Bogoni, X. Wu, I. Fazal, A. E. Willner, "All-optical 160 Gb/s half-addition half-subtraction and and/or function
exploiting pump depletion and nonlinearities in a PPLN waveguide," Proc. ECOC 2008 (2008).

W. Sohler, W. Grundkotter, H. Herrmann, H. Hu, S. L. Jansen, J. H. Lee, Y. H. Min, V. Quiring, R. Ricken, S. Reza, H. Suche, R. B. Wehrspohn, "All-optical signal processing devices with (periodically
poled) lithium-niobate waveguides," Proc. OFC (2007) pp. 1-3.

Y. Min, J. Lee, Y. Lee, W. Grundkoetter, V. Quiring, W. Sohler, "@@@Tunable
all-optical control of wavelength-conversion of 5 ps pulses by cascaded sum-and
difference frequency generation (SFG/DFG) in a Ti:PPLN waveguide," Proc. OFC 2003 (2003).