C. Ma, E. Van Keuren, "A three-dimensional wide-angle BPM for optical
waveguide structures," Opt. Exp. 15, 402-407 (2007).

A. Fernandez, P. Morel, J. W. D. Chi, "Temporal and spectral properties of contra-propagating
picosecond optical pulses in SOA," Opt. Commun. 259, 465-469 (2006).

C. G. Lee, Y. J. Kim, C.-S. Park, "Optical pulse shaping by cross-phase modulation in a
harmonic mode-locked semiconductor fiber ring laser under large
cavity detuning," J. Lightw. Technol. 24, 1237-1246 (2006).

A. Hamié, A. Sharaiha, M. Guegan, J. L. Bihan, "All-optical inverted and noninverted wavelength
conversion using two-cascaded semiconductor optical amplifiers," IEEE Photon. Technol. Lett. 17, 1229-1231 (2005).

M. Amaya, A. Sharaiha, F. Ginovart, "Comparison between co- and counter-propagative optical
injection near the transparency wavelength on SOA static and dynamic
performances," Opt. Commun. 246, 67-71 (2005).

A. Sharaiha, A. Hamie, "Comprehensive analysis of two cascaded semiconductor
optical amplifiers for all-optical switching operation," J. Lightw. Technol. 22, 850-858 (2004).

L. Occhi, L. Schares, G. Guekos, "Phase modeling based on the $\alpha$-factor in bulk semiconductor optical amplifiers," IEEE J. Sel. Topics Quantum. Electron. 9, 788-797 (2003).

H. J. S. Dorren, D. Lenstra, L. Yong, M. T. Hill, G. D. Khoe, "Nonlinear polarization rotation in semiconductor
optical amplifiers: Theory and application to all-optical flip-flop
memories," IEEE J. Quantum Electron. 39, 141-148 (2003).

L. Schares, C. Schubert, C. Schmidt, H. G. Weber, L. Occhi, G. Guekos, "Phase dynamics of semiconductor optical amplifiers at
10–40 GHz," IEEE J. Quantum Electron. 39, 1394-1408 (2003).

J. Shibayama, A. Yamahira, T. Mugita, J. Yamauchi, H. Nakano, "A finite-difference time-domain beam-propagation
method for TE- and TM-wave analyses," J. Lightw. Technol. 21, 1709-1715 (2003).

H. J. S. Dorren, G. D. Khoe, D. Lenstra, "All-optical switching of an ultrashort pulse using a
semiconductor optical amplifier in a Sagnac-interferometric
arrangement," Opt. Commun. 205, 247-252 (2002).

J. W. D. Chi, C. Lu, M. K. Rao, "Time-domain large-signal investigation on nonlinear
interactions between an optical pulse and semiconductor waveguides," IEEE J. Quantum Electron. 37, 1329-1336 (2001).

R. Scarmozzino, A. Gopinath, R. Pregla, S. Helfert, "Numerical techniques for modeling guided-wave photonic
devices," IEEE J. Sel. Topics Quantum. Electron. 6, 150-162 (2000).

N. K. Das, Y. Yamayoshi, H. Kawaguchi, "Analysis of basic four-wave mixing characteristics in
a semiconductor optical amplifier by the finite-difference beam
propagation method," IEEE J. Quantum Electron. 36, 1184-1192 (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).

R. Gutiérrez-Castrejón, L. Schares, L. Occhi, G. Guekos, "Modeling and measurement of longitudinal gain dynamics
in saturated semiconductor optical amplifiers of different length," IEEE J. Quantum Electron. 36, 1476-1484 (2000).

P. Borri, S. Scaffetti, J. Mørk, W. Langbein, J. M. Hvam, A. Mecozzi, F. Martelli, "Measurement and calculation of the critical pulsewidth
for gain saturation in semiconductor optical amplifiers," Opt. Commun. 164, 51-55 (1999).

S. Bischoff, A. Buxens, H. N. Poulsen, A. T. Clausen, J. Mørk, "Bidirectional four-wave mixing in semiconductor
optical amplifiers: Theory and experiment," J. Lightw. Technol. 17, 1617-1625 (1999).

Y. Kim, H. Lee, S. Kim, J. Ko, J. Jeong, "Analysis of frequency chirping and extinction ratio of
optical phase conjugate signals by four-wave mixing in SOA's," IEEE J. Sel. Topics Quantum. Electron. 5, 873-879 (1999).

G. Toptchiyski, S. Kindt, K. Petermann, E. Hilliger, S. Diez, H. G. Weber, "Time-domain modeling of semiconductor optical
amplifiers for OTDM applications," J. Lightw. Technol. 17, 2577-2583 (1999).

J. M. Tang, K. A. Shore, "Active picosecond optical pulse compression in
semiconductor optical amplifiers," IEEE J. Quantum Electron. 35, 93-100 (1999).

J. M. Tang, K. A. Shore, "Strong picosecond optical pulse propagation in
semiconductor optical amplifiers at transparency," IEEE J. Quantum Electron. 34, 1263-1269 (1998).

K. Obermann, S. Kindt, D. Breuer, K. Petermann, "Performance analysis of wavelength converters based on
cross-gain modulation in semiconductor-optical amplifiers," J. Lightw. Technol. 16, 78-85 (1998).

D. Nesset, T. Kelly, D. Marcenac, "All-optical wavelength conversion using SOA
nonlinearities," IEEE Commun. Mag. 36, 56-61 (1998).

A. Mecozzi, J. Mørk, "Saturation effects in nondegenerate four-wave mixing
between short optical pulses in semiconductor laser amplifiers," IEEE J. Sel. Topics Quantum. Electron. 3, 1190-1207 (1997).

M. Y. Hong, Y. H. Chang, A. Dienes, J. P. Heritage, P. J. Delfyett, S. Dijaili, F. G. Patterson, "Femtosecond self- and cross-phase modulation in
semiconductor laser amplifiers," IEEE J. Sel. Topics Quantum. Electron. 2, 523-539 (1996).

A. E. Willner, W. Shieh, "Optimal spectral and power parameters for all-optical
wavelength shifting: Single stage, fanout, and cascadability," J. Lightw. Technol. 13, 771-781 (1995).

L. M. Zhang, S. F. Yu, M. C. Nowell, D. D. Marcenac, J. E. Carroll, R. G. S. Plumb, "Dynamic analysis of radiation and side-mode
suppression in a second-order DFB laser using time-domain
large-signal traveling wave model," IEEE J. Quantum Electron. 30, 1389-1395 (1994).

M. Y. Hong, Y. H. Chang, A. Dienes, J. P. Heritage, P. J. Delfyett, "Subpicosecond pulse amplification in semiconductor
laser amplifiers: Theory and experiment," IEEE J. Quantum Electron. 30, 1122-1131 (1994).

T. Durhuus, B. Mikkelsen, K. E. Stubkjaer, "Detailed dynamic model for semiconductor optical
amplifiers and their crosstalk and intermodulation distortion," J. Lightw. Technol. 10, 1056-1065 (1992).

G. P. Agrawal, N. A. Olsson, "Self-phase modulation and spectral broadening of
optical pulses in semiconductor laser amplifiers," IEEE J. Quantum Electron. 25, 2297-2306 (1989).

R. S. Grant, W. Sibbet, "Observations of ultrafast nonlinear refraction in an
InGaAsP optical amplifier," Appl. Phys. Lett. 59, 1119-1121 (1991).

D. Nesset, T. Kelly, D. Marcenac, "All-optical wavelength conversion using SOA
nonlinearities," IEEE Commun. Mag. 36, 56-61 (1998).

R. Gutiérrez-Castrejón, L. Schares, L. Occhi, G. Guekos, "Modeling and measurement of longitudinal gain dynamics
in saturated semiconductor optical amplifiers of different length," IEEE J. Quantum Electron. 36, 1476-1484 (2000).

H. J. S. Dorren, D. Lenstra, L. Yong, M. T. Hill, G. D. Khoe, "Nonlinear polarization rotation in semiconductor
optical amplifiers: Theory and application to all-optical flip-flop
memories," IEEE J. Quantum Electron. 39, 141-148 (2003).

M. Y. Hong, Y. H. Chang, A. Dienes, J. P. Heritage, P. J. Delfyett, "Subpicosecond pulse amplification in semiconductor
laser amplifiers: Theory and experiment," IEEE J. Quantum Electron. 30, 1122-1131 (1994).

J. M. Tang, K. A. Shore, "Strong picosecond optical pulse propagation in
semiconductor optical amplifiers at transparency," IEEE J. Quantum Electron. 34, 1263-1269 (1998).

G. P. Agrawal, N. A. Olsson, "Self-phase modulation and spectral broadening of
optical pulses in semiconductor laser amplifiers," IEEE J. Quantum Electron. 25, 2297-2306 (1989).

L. Schares, C. Schubert, C. Schmidt, H. G. Weber, L. Occhi, G. Guekos, "Phase dynamics of semiconductor optical amplifiers at
10–40 GHz," IEEE J. Quantum Electron. 39, 1394-1408 (2003).

N. K. Das, Y. Yamayoshi, H. Kawaguchi, "Analysis of basic four-wave mixing characteristics in
a semiconductor optical amplifier by the finite-difference beam
propagation method," IEEE J. Quantum Electron. 36, 1184-1192 (2000).

J. W. D. Chi, C. Lu, M. K. Rao, "Time-domain large-signal investigation on nonlinear
interactions between an optical pulse and semiconductor waveguides," IEEE J. Quantum Electron. 37, 1329-1336 (2001).

L. M. Zhang, S. F. Yu, M. C. Nowell, D. D. Marcenac, J. E. Carroll, R. G. S. Plumb, "Dynamic analysis of radiation and side-mode
suppression in a second-order DFB laser using time-domain
large-signal traveling wave model," IEEE J. Quantum Electron. 30, 1389-1395 (1994).

J. M. Tang, K. A. Shore, "Active picosecond optical pulse compression in
semiconductor optical amplifiers," IEEE J. Quantum Electron. 35, 93-100 (1999).

M. Y. Hong, Y. H. Chang, A. Dienes, J. P. Heritage, P. J. Delfyett, S. Dijaili, F. G. Patterson, "Femtosecond self- and cross-phase modulation in
semiconductor laser amplifiers," IEEE J. Sel. Topics Quantum. Electron. 2, 523-539 (1996).

R. Scarmozzino, A. Gopinath, R. Pregla, S. Helfert, "Numerical techniques for modeling guided-wave photonic
devices," IEEE J. Sel. Topics Quantum. Electron. 6, 150-162 (2000).

Y. Kim, H. Lee, S. Kim, J. Ko, J. Jeong, "Analysis of frequency chirping and extinction ratio of
optical phase conjugate signals by four-wave mixing in SOA's," IEEE J. Sel. Topics Quantum. Electron. 5, 873-879 (1999).

A. Mecozzi, J. Mørk, "Saturation effects in nondegenerate four-wave mixing
between short optical pulses in semiconductor laser amplifiers," IEEE J. Sel. Topics Quantum. Electron. 3, 1190-1207 (1997).

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).

L. Occhi, L. Schares, G. Guekos, "Phase modeling based on the $\alpha$-factor in bulk semiconductor optical amplifiers," IEEE J. Sel. Topics Quantum. Electron. 9, 788-797 (2003).

A. Hamié, A. Sharaiha, M. Guegan, J. L. Bihan, "All-optical inverted and noninverted wavelength
conversion using two-cascaded semiconductor optical amplifiers," IEEE Photon. Technol. Lett. 17, 1229-1231 (2005).

A. Sharaiha, A. Hamie, "Comprehensive analysis of two cascaded semiconductor
optical amplifiers for all-optical switching operation," J. Lightw. Technol. 22, 850-858 (2004).

S. Bischoff, A. Buxens, H. N. Poulsen, A. T. Clausen, J. Mørk, "Bidirectional four-wave mixing in semiconductor
optical amplifiers: Theory and experiment," J. Lightw. Technol. 17, 1617-1625 (1999).

C. G. Lee, Y. J. Kim, C.-S. Park, "Optical pulse shaping by cross-phase modulation in a
harmonic mode-locked semiconductor fiber ring laser under large
cavity detuning," J. Lightw. Technol. 24, 1237-1246 (2006).

K. Obermann, S. Kindt, D. Breuer, K. Petermann, "Performance analysis of wavelength converters based on
cross-gain modulation in semiconductor-optical amplifiers," J. Lightw. Technol. 16, 78-85 (1998).

A. E. Willner, W. Shieh, "Optimal spectral and power parameters for all-optical
wavelength shifting: Single stage, fanout, and cascadability," J. Lightw. Technol. 13, 771-781 (1995).

T. Durhuus, B. Mikkelsen, K. E. Stubkjaer, "Detailed dynamic model for semiconductor optical
amplifiers and their crosstalk and intermodulation distortion," J. Lightw. Technol. 10, 1056-1065 (1992).

G. Toptchiyski, S. Kindt, K. Petermann, E. Hilliger, S. Diez, H. G. Weber, "Time-domain modeling of semiconductor optical
amplifiers for OTDM applications," J. Lightw. Technol. 17, 2577-2583 (1999).

J. Shibayama, A. Yamahira, T. Mugita, J. Yamauchi, H. Nakano, "A finite-difference time-domain beam-propagation
method for TE- and TM-wave analyses," J. Lightw. Technol. 21, 1709-1715 (2003).

C. M. de Sterke, K. R. Jackson, B. D. Robert, "Nonlinear coupled-mode equations on a finite interval:
A numerical procedure," J. Opt. Soc. Am. B 8, 403 (1991).

H. Adachihara, R. A. Indik, J. V. Moloney, "Semiconductor laser array dynamics: Numerical
simulations on multistripe index-guided lasers," J. Opt. Soc. Am. B 10, 496 (1993).

A. Fernandez, P. Morel, J. W. D. Chi, "Temporal and spectral properties of contra-propagating
picosecond optical pulses in SOA," Opt. Commun. 259, 465-469 (2006).

P. Borri, S. Scaffetti, J. Mørk, W. Langbein, J. M. Hvam, A. Mecozzi, F. Martelli, "Measurement and calculation of the critical pulsewidth
for gain saturation in semiconductor optical amplifiers," Opt. Commun. 164, 51-55 (1999).

H. J. S. Dorren, G. D. Khoe, D. Lenstra, "All-optical switching of an ultrashort pulse using a
semiconductor optical amplifier in a Sagnac-interferometric
arrangement," Opt. Commun. 205, 247-252 (2002).

M. Amaya, A. Sharaiha, F. Ginovart, "Comparison between co- and counter-propagative optical
injection near the transparency wavelength on SOA static and dynamic
performances," Opt. Commun. 246, 67-71 (2005).

C. Ma, E. Van Keuren, "A three-dimensional wide-angle BPM for optical
waveguide structures," Opt. Exp. 15, 402-407 (2007).

M. J. Connelly, Semiconductor Optical Amplifiers (Kluwer, 2002).

W. H. Press, S. A. Teukolsky, B. P. Flannery, W. T. Vetterling, Numerical Recipes in Fortran (Cambridge Univ. Press, 1992).

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).