Pulse compression and spatial phase modulation in normally dispersive nonlinear Kerr media

Ryan, Andrew T.; Agrawal, Govind P.

doi:10.1364/ol.20.000306

Cited by 29 publications

(13 citation statements)

References 10 publications

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“…The dispersive terms are defined as follows: β (0) j := β (0) (ω j ) = ω j /c is the wavenumber, β (1) j := ∂β/∂ω| ω=ωj = 1/v gj is the reverse group velocity, and β (2) j := ∂ 2 β/∂ω 2 | ω=ωj is the group velocity dispersion. The parameters z DF j := β (0) j n 0 (ω j )w 2 i , z DSj := t 2 j /β (2) j , z N Lj := w j n 0 /(2n 2 |U 0j | 2 ), w j , t j denote, respectively, the Fresnel diffraction length, the dispersive length, the nonlinear length, the initial spatial width and the initial temporal width of the j-s pulse. In the above notation j = 1, 2, where the subscript j = 1 (j = 2) refers to the anomalous (normal) pulse.…”

Section: Acknowledgementsmentioning

confidence: 99%

“…The notation in equations (1) and (2a,b) is as follows [2]: ζ = z/z DF 1 is the longitudinal coordinate normalized to the Fresnel diffraction length of the anomalous pulse, ξ = x/w 1 is the spatial transverse coordinate normalized to the initial spatial width of the anomalous pulse, τ = (t − β (1) 1 z)/t 1 is the local time normalized to the initial temporal width of the anomalous pulse. The parameters σ j = z DF 1 /z DSj , µ = z DF 1 /z DF 2 , r = λ 1 /λ 2 = ω 2 /ω 1 denote, respectively, the dispersion-to-diffraction ratio, the ratio of the Fresnel diffraction length of the anomalous pulse to the Fresnel diffraction length of the normal pulse and, finally, the ratio of the carrier frequency of the anomalous pulse to the carrier frequency of the normal pulse.…”

Section: Appendix Amentioning

confidence: 99%

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On the properties of two pulses propagating simultaneously in different dispersion regimes in a nonlinear planar waveguide

Pietrzyk¹

1999

J. Opt. A: Pure Appl. Opt.

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Properties of two pulses propagating simultaneously in different dispersion regimes, anomalous and normal, in a Kerr-type planar waveguide are studied in the framework of the nonlinear Schrödinger equation. It is found that the presence of the pulse propagating in a normal dispersion regime can cause termination of catastrophic self-focusing of the pulse with anomalous dispersion. It is also shown that the coupling between pulses can give rise to spatiotemporal splitting of the pulse propagating in anomalous dispersion regime, but it does not necessarily lead to catastrophic self-focusing of the pulse with normal dispersion. For the limiting case when the dispersive term of the pulse propagating in normal dispersion regime can be neglected an indication (based on the variational estimation) of a possibility of a stable self-trapped propagation of both pulses is obtained. This stabilization is similar to the one which was found earlier in media with saturation-type nonlinearity.

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Section: Acknowledgementsmentioning

confidence: 99%

Section: Appendix Amentioning

confidence: 99%

On the properties of two pulses propagating simultaneously in different dispersion regimes in a nonlinear planar waveguide

Pietrzyk¹

1999

J. Opt. A: Pure Appl. Opt.

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“…As a result, the pulse envelope shows a profile with a steep leading edge [21], and corresponds to a additional redshifted spectral broadening at higher input energy. At further high input intensity, the sharp pulse peak decays before it outputs the glass, whereas the back of the pulse refocuses [14]. Two-peak pulse is thus formed.…”

Section: Self-compression In Solids Of Un-chirped Laser Pulsesmentioning

confidence: 99%

“…Early in the study of the nonlinear propagation of the femtosecond laser pulses in transparent media, it was found that the self-focusing effect of the intense femtosecond pulses could lead to pulse compression spatially and temporarily in normal-dispersion regime [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Pulse Self-Compression in the Nonlinear Propagation of Intense Femtosecond Laser Pulse in Normally Dispersive Solids

Chen

Liu

et al. 2006

Springer Series in Chemical Physics

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Summary. The self-compression phenomena of intense femtosecond pulses in normally dispersive solids were investigated experimentally. Both un-chirped and negatively chirped laser pulses were used as input pulses. It is demonstrated that intense femtosecond laser pulses can be compressed by the nonlinear propagation in the transparent solids, and the temporal and spectral characteristics of output pulses were found to be significantly affected by the input laser intensity, with higher intensity corresponding to shorter compressed pulses. By the propagation in a 3 mm thick BK7 glass plate with the laser power of GW level, a self-compression from 50 fs to 20 fs was achieved, with a compression factor of about 2.5. However, the output laser pulse was observed to split into two peaks when the input laser intensity is high enough to generate super-continuum and conical emission. When the input laser pulse is negatively chirped, the spectra of the pulse are reshaped and narrowed due to strong self-action effects, and the temporal pulse duration is found to be self-shortening. With the increase in the input pulse intensity, the resulted self-compressed pulses became even shorter than the input laser pulse, and also shorter than sech 2 transform-limited pulse according to the corresponding spectra.

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“…This chirp can be spatial, as in the case of a lens in the beam path and/or it can be temporal, as in the case ofthe light beam produced by a semiconductor laser. Several groups have studied the effects of the interaction of nonlinearity, GVD and diffraction for an incident chirped Gaussian pulse [18][19]. It was found that the critical power for self-focusing changes quadratically with the chirp parameter.…”

Section: Gigabit/sec Propagationmentioning

confidence: 99%

High-bandwidth free-space optics

Potasek

Kim

2000

SPIE Proceedings

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Free-space interconnections for optical computing and information processing require an understanding of the three dimensional propagation of ultrahigh bandwidth optical pulses. Unlike optical fibers that are basically waveguides, free space propagation involves additional phenomenon such as self-focusing. In order to understand the properties of unguided or free space propagation for interconnections it is necessary to use a three dimensional spatial grid as well as the usual temporal grid. We derived an expression for the propagation of free space optical pulses for data rates on the order of hundreds of terabits/sec. Our formulation incorporates physical parameters such as the pulse duration, pulse intensity and free space characteristics. Numerical calculations show the spatiotemporal pulse distortion for free space propagation.

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Pulse compression and spatial phase modulation in normally dispersive nonlinear Kerr media

Cited by 29 publications

References 10 publications

On the properties of two pulses propagating simultaneously in different dispersion regimes in a nonlinear planar waveguide

On the properties of two pulses propagating simultaneously in different dispersion regimes in a nonlinear planar waveguide

Pulse Self-Compression in the Nonlinear Propagation of Intense Femtosecond Laser Pulse in Normally Dispersive Solids

High-bandwidth free-space optics

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