V. Krishnamurthy, K. Ravi, S.-T. Ho, "Analytical
framework for the steady state analysis of wavelength-dependent and
intensity-dependent interaction of multiple monochromatic beams in semiconductor
photonic structures with multiple active and passive sections," IEEE J. Quantum
Electron. 48, 1282-1299 (2012).

Y. Wang, Y. Wei, Y. Huang, Y. Tu, D. Ng, C. W. Lee, Y.
Zheng, B. Li, S. T. Ho, "Silicon/III-V laser with super-compact diffraction
grating for WDM applications in electronic-photonic integrated circuits," Opt.
Exp. 19, 2006-2013 (2011).

T. Kise, K. N. Nguyen, J. M. Garcia, H. N. Poulsen, D.
J. Blumenthal, "Cascadability properties of MZI-SOA-based all-optical 3R
regenerators for RZ-DPSK signals," Opt. Exp. 19, 9330-9335 (2011).

D. A. B. Miller, "Are optical transistors the logical
next step?," Nat. Photon. 4, 3-5 (2010).

J. Hwang, M. Pototschnig, R. Lettow, G. Zumofen, A.
Renn, S. Gottzinger, V. Sandoghdar, "A single-molecule optical transistor," Nat.
Lett. 460, 76-80 (2009).

H. Mabuchi, "Cavity-QED models of switches for
attojjoule-scale nanophotonic logic," Phys Rev. A 80, 045802
(2009).

V. Krishnamurthy, B. Klein, "Comprehensive theory of
plane-wave expansion based eigenmode method for scattering-matrix analysis of
photonic structures," J. Opt. Soc. Amer. B 26, 1341-1349 (2009).

J. Wang, "Pattern effect mitigation techniques for
all-optical wavelength converters based on semiconductor optical amplifiers,"
Karlsruhe Ser. Photon. Commun. 3, (2008).

Y. Huang, S.-T. Ho, "High-speed low-power photonic
transistor devices based on optically-controlled gain or absorption to affect
optical interference," Opt. Exp. 16, 16806-16824 (2008).

S. Lettieri, "Calculations of band-filling optical
nonlinearities in extrinsic semiconductors beyond the low injection limit," J.
Appl. Phys. 95, 5419-5428 (2004).

A. Melikyan, H. Minassian, V. Truchin, E. Gini, G.
Guekos, "Nonlinear interband absorption of intense light wave in bulk InGaAsP,"
Opt. Comm. 212, 183-190 (2002).

J. D. Merlier, G. Morthier, S. Verstuyft, T. V.
Caenegem, I. Moerman, P. V. Daele, R. Baets, "Experimental demonstration of
all-optical regeneration using an MMI-SOA," IEEE Photon. Lett. 14, 660-662
(2002).

M. Saitoh, B. Ma, Y. Nakano, "Static and dynamic
characteristics analysis of all-optical wavelength conversion using directionally
coupled semiconductor optical amplifiers," IEEE J. Quantum Electron. 36, 984-990
(2000).

B. Ma, Y. Nakano, "Realization of all-optical
wavelength converter based on directionally coupled semiconductor optical
amplifiers," IEEE Photon. Technol. Lett. 11, 188-190 (1999).

R. M. Geatches, S. V. Dewar, R. V. Penty,
"Reduced-power semiconductor all-optical switch design," IEE Proc.-Optoelectron.
144, 2-7 (1997).

F. D. Pasquale, H. E. Hernandez-Figueroa, "Improved
all-optical switching in a three-slab nonlinear directional coupler with gain,"
IEEE J. Quantum Electron. 30, 1254-1258 (1994).

D. A. O. Davies, M. A. Fisher, D. J. Elton, S. D.
Perrin, M. J. Adams, G. T. Kennedy, R. S. Grant, P. D. Roberts, W. Sibbett,
"Nonlinear switching in InGaAsP laser amplifier directional couplers biased at
transparency," Electron. Lett. 29, 710-711 (1993).

Y. Chen, A. W. Snyder, D. N. Payne, "Twin core
nonlinear couplers with gain and loss," IEEE J. Quantum Electron. 28, 239-245
(1992).

J. S. Aitchison, A. H. Kean, C. N. Ironside, A.
Villeneuve, G. I. Stegeman, "Ultrafast all-optical switching in {\rm
Al}_{0.18}{\rm Ga}_{0.82}{\rm As} directional coupler in 1.55 \mu{\rm m}
spectral region," Electron. Lett. 27, 1709-1710 (1991).

G. P. Agrawal, "Spectral holeburning and gain
saturation in semiconductor lasers: Strong signal theory," J. Appl. Phys. 63,
1232-1235 (1988).

J. M. Liu, C. Yeh, "Optical switching by
saturation-induced phase changes in an active directional coupler," Appl. Phys.
Lett. 50, 1625-1627 (1987).

G. P. Agrawal, "Gain nonlinearities in semiconductor
lasers: Theory and application to distributed feedback lasers," IEEE J. Quantum.
Electron. QE-23, 860-868 (1987).

C. J. Setterlind, L. Thylén, "Directional coupler
switches with optical gain," IEEE J. Quantum Electron. QE-22, 595-602
(1986).

Y. H. Lee, A. Chavez-Pirson, S. W. Koch, H. M. Gibbs,
S. H. Park, J. Morhange, A. Jeffrey, N. Peyghambarian, L. Banyai, A. C. Gossard,
W. Wiegmann, "Room-temperature optical nonlinearities in GaAs," Phys. Rev. Lett.
57, 2446-2449 (1986).

P. Li Kam Wa, J. E. Stich, N. J. Mason, J. S. Roberts,
P. N. Robson, "All optical multiple-quantum-well waveguide switch," Electron.
Lett. 21, 26-28 (1985).

S. M. Jensen, "The nonlinear coherent coupler," IEEE
J. Quantum. Electron. QE-18, 1580-1583 (1982).

R. J. Nicholas, J. C. Portal, C. Houlbert, P. Perrier,
T. P. Pearsall, "An experimental determination of the effective masses for {\rm
Ga_{x}In_{1-x}As_{y}_{1-y}," Appl. Phys.
Lett. 34, 492-494 (1979).

J. M. Liu, C. Yeh, "Optical switching by
saturation-induced phase changes in an active directional coupler," Appl. Phys.
Lett. 50, 1625-1627 (1987).

R. J. Nicholas, J. C. Portal, C. Houlbert, P. Perrier,
T. P. Pearsall, "An experimental determination of the effective masses for {\rm
Ga_{x}In_{1-x}As_{y}_{1-y}," Appl. Phys.
Lett. 34, 492-494 (1979).

D. A. O. Davies, M. A. Fisher, D. J. Elton, S. D.
Perrin, M. J. Adams, G. T. Kennedy, R. S. Grant, P. D. Roberts, W. Sibbett,
"Nonlinear switching in InGaAsP laser amplifier directional couplers biased at
transparency," Electron. Lett. 29, 710-711 (1993).

P. Li Kam Wa, J. E. Stich, N. J. Mason, J. S. Roberts,
P. N. Robson, "All optical multiple-quantum-well waveguide switch," Electron.
Lett. 21, 26-28 (1985).

J. S. Aitchison, A. H. Kean, C. N. Ironside, A.
Villeneuve, G. I. Stegeman, "Ultrafast all-optical switching in {\rm
Al}_{0.18}{\rm Ga}_{0.82}{\rm As} directional coupler in 1.55 \mu{\rm m}
spectral region," Electron. Lett. 27, 1709-1710 (1991).

R. M. Geatches, S. V. Dewar, R. V. Penty,
"Reduced-power semiconductor all-optical switch design," IEE Proc.-Optoelectron.
144, 2-7 (1997).

C. J. Setterlind, L. Thylén, "Directional coupler
switches with optical gain," IEEE J. Quantum Electron. QE-22, 595-602
(1986).

Y. Chen, A. W. Snyder, D. N. Payne, "Twin core
nonlinear couplers with gain and loss," IEEE J. Quantum Electron. 28, 239-245
(1992).

F. D. Pasquale, H. E. Hernandez-Figueroa, "Improved
all-optical switching in a three-slab nonlinear directional coupler with gain,"
IEEE J. Quantum Electron. 30, 1254-1258 (1994).

M. Saitoh, B. Ma, Y. Nakano, "Static and dynamic
characteristics analysis of all-optical wavelength conversion using directionally
coupled semiconductor optical amplifiers," IEEE J. Quantum Electron. 36, 984-990
(2000).

V. Krishnamurthy, K. Ravi, S.-T. Ho, "Analytical
framework for the steady state analysis of wavelength-dependent and
intensity-dependent interaction of multiple monochromatic beams in semiconductor
photonic structures with multiple active and passive sections," IEEE J. Quantum
Electron. 48, 1282-1299 (2012).

G. P. Agrawal, "Gain nonlinearities in semiconductor
lasers: Theory and application to distributed feedback lasers," IEEE J. Quantum.
Electron. QE-23, 860-868 (1987).

S. M. Jensen, "The nonlinear coherent coupler," IEEE
J. Quantum. Electron. QE-18, 1580-1583 (1982).

J. D. Merlier, G. Morthier, S. Verstuyft, T. V.
Caenegem, I. Moerman, P. V. Daele, R. Baets, "Experimental demonstration of
all-optical regeneration using an MMI-SOA," IEEE Photon. Lett. 14, 660-662
(2002).

B. Ma, Y. Nakano, "Realization of all-optical
wavelength converter based on directionally coupled semiconductor optical
amplifiers," IEEE Photon. Technol. Lett. 11, 188-190 (1999).

S. Lettieri, "Calculations of band-filling optical
nonlinearities in extrinsic semiconductors beyond the low injection limit," J.
Appl. Phys. 95, 5419-5428 (2004).

G. P. Agrawal, "Spectral holeburning and gain
saturation in semiconductor lasers: Strong signal theory," J. Appl. Phys. 63,
1232-1235 (1988).

V. Krishnamurthy, B. Klein, "Comprehensive theory of
plane-wave expansion based eigenmode method for scattering-matrix analysis of
photonic structures," J. Opt. Soc. Amer. B 26, 1341-1349 (2009).

J. Wang, "Pattern effect mitigation techniques for
all-optical wavelength converters based on semiconductor optical amplifiers,"
Karlsruhe Ser. Photon. Commun. 3, (2008).

J. Hwang, M. Pototschnig, R. Lettow, G. Zumofen, A.
Renn, S. Gottzinger, V. Sandoghdar, "A single-molecule optical transistor," Nat.
Lett. 460, 76-80 (2009).

D. A. B. Miller, "Are optical transistors the logical
next step?," Nat. Photon. 4, 3-5 (2010).

A. Melikyan, H. Minassian, V. Truchin, E. Gini, G.
Guekos, "Nonlinear interband absorption of intense light wave in bulk InGaAsP,"
Opt. Comm. 212, 183-190 (2002).

Y. Wang, Y. Wei, Y. Huang, Y. Tu, D. Ng, C. W. Lee, Y.
Zheng, B. Li, S. T. Ho, "Silicon/III-V laser with super-compact diffraction
grating for WDM applications in electronic-photonic integrated circuits," Opt.
Exp. 19, 2006-2013 (2011).

Y. Huang, S.-T. Ho, "High-speed low-power photonic
transistor devices based on optically-controlled gain or absorption to affect
optical interference," Opt. Exp. 16, 16806-16824 (2008).

T. Kise, K. N. Nguyen, J. M. Garcia, H. N. Poulsen, D.
J. Blumenthal, "Cascadability properties of MZI-SOA-based all-optical 3R
regenerators for RZ-DPSK signals," Opt. Exp. 19, 9330-9335 (2011).

H. Mabuchi, "Cavity-QED models of switches for
attojjoule-scale nanophotonic logic," Phys Rev. A 80, 045802
(2009).

Y. H. Lee, A. Chavez-Pirson, S. W. Koch, H. M. Gibbs,
S. H. Park, J. Morhange, A. Jeffrey, N. Peyghambarian, L. Banyai, A. C. Gossard,
W. Wiegmann, "Room-temperature optical nonlinearities in GaAs," Phys. Rev. Lett.
57, 2446-2449 (1986).

L. A. Coldren, S. W. Corzine, M. L. Mašanovi?, Diode
Lasers and Photonic Integrated Circuits (Wiley, 2012).

L. T. Varghese, L. Fan, J. Wang, F. Gan, X. Wang, J.
Wirth, B. Niu, C. Tansarawiput, Y. Xuan, A. M. Weiner, M. Qi, "A silicon optical
transistor," Frontiers in Optics (FiO) RochesterNY (2012) Paper no.
FW6C.