Controllable Raman-like nonlinearities from nonstationary, cascaded quadratic processes

We show that useful noninstantaneous, nonlinear phase shifts can be obtained from cascaded quadratic processes in the presence of group-velocity mismatch. The two-field nature of the process permits responses that can be effectively advanced or retarded in time with respect to one of the fields. There is an analogy to a generalized Raman-scattering effect, permitting both red and blueshifts of short pulses. We expect this capability to have many applications in short-pulse generation and propagation, such as the compensation of Raman-induced effects and high-quality pulse compression, which we discuss.

[1]  Satoshi Ashihara,et al.  Soliton compression of femtosecond pulses in quadratic media , 2002 .

[2]  Anjan Kundu,et al.  Landau-Lifshitz and higher-order nonlinear systems gauge generated from nonlinear Schrödinger-type equations , 1984 .

[3]  P Tchofo Dinda,et al.  Suppression of soliton self-frequency shift by upshifted filtering. , 2002, Optics letters.

[4]  Curtis R. Menyuk,et al.  Solitary waves due to ?^(2): ?^(2) cascading , 1994 .

[5]  F. Lederer,et al.  Effect of group-velocity mismatch on amplitude and phase modulation of picosecond pulses in quadratically nonlinear media , 1997 .

[6]  M. Fejer,et al.  Quasi-phase-matched second harmonic generation: tuning and tolerances , 1992 .

[7]  H. H. Chen,et al.  Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method , 1979 .

[8]  K. Beckwitt,et al.  Two-dimensional optical spatiotemporal solitons in quadratic media , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  Frank W. Wise,et al.  Walk-off acceptance for quadratic soliton generation , 2001 .

[10]  Heinz P. Weber,et al.  Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber , 1987 .

[11]  F. Wise,et al.  High-energy pulse compression by use of negative phase shifts produced by the cascade chi((2)):chi((2)) nonlinearity. , 1999, Optics letters.

[12]  O. Bang,et al.  Optical Beams in Nonlocal Nonlinear Media , 2003 .

[13]  Xiang Liu,et al.  Photonic analog-to-digital converter using soliton self-frequency shift and interleaving spectral filters. , 2003, Optics letters.

[14]  Almantas Galvanauskas,et al.  Mode-scalable fiber-based chirped pulse amplification systems , 2001 .

[15]  F W Wise,et al.  Compensation for self-focusing by use of cascade quadratic nonlinearity. , 2001, Optics letters.

[16]  Kuipers,et al.  Phase modulation in second-order nonlinear-optical processes. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[17]  Liejia Qian,et al.  APPLICATIONS OF CASCADED QUADRATIC NONLINEARITIES TO FEMTOSECOND PULSE GENERATION , 2002 .

[18]  F. Wise,et al.  Femtosecond Kerr-lens mode locking with negative nonlinear phase shifts. , 1999, Optics letters.

[19]  Ole Bang,et al.  Collapse arrest and soliton stabilization in nonlocal nonlinear media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  L. Torner,et al.  Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media , 1997 .

[21]  Alexander M. Rubenchik,et al.  On diffraction and dispersion effect on three wave interaction , 1981 .

[22]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[23]  Frank W. Wise,et al.  Nonlinearity management: a route to high-energy soliton fiber lasers , 2002 .

[24]  W. Sohler,et al.  Spatial trapping of short pulses in Ti-indiffused LiNbO(3) waveguides. , 2002, Optics letters.

[25]  Di Trapani P,et al.  Observation of quadratic optical vortex solitons , 2000, Physical review letters.