Variational analysis of spatio-temporal pulse dynamics in dispersive Kerr media

The solitons and other solutions illustrate nondiffractive and nondispersive spatio-temporal localized packets of wave propagating in the media of optical Kerr. In this paper, solitons, elliptic function and other solutions of dimensionless time-dependent paraxial wave model are constructed via employing three mathematical techniques, namely, the improved simple equation technique, [Formula: see text]-expansion technique and modified extended direct algebraic technique. These wave solutions have key applications and help to understand the physical phenomena of this wave model. By giving appropriate parameter values, different types of solitons structures can be depicted graphically. Several precise solutions and computations have proved the straightforwardness, consistency and power of the these techniques.

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Mechanisms of spatio-temporal localization of high-intensive femtosecond pulses in Kerr media: Light bullet scenarios

2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC) ◽

10.1109/cleoe-eqec.2017.8087564 ◽

2017 ◽

Author(s):

O. Fedotova ◽

O. Khasanov ◽

G. Rusetsky ◽

T. Smirnova ◽

E. Gaizauskas ◽

...

Keyword(s):

Femtosecond Pulses ◽

Light Bullet ◽

Kerr Media ◽

Spatio Temporal ◽

Temporal Localization

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Variational analysis and angular bistability in layered nonlinear Kerr media with phase conjugation

Journal of the Optical Society of America B ◽

10.1364/josab.17.000977 ◽

2000 ◽

Vol 17 (6) ◽

pp. 977

Author(s):

T. A. Laine ◽

A. T. Friberg

Keyword(s):

Variational Analysis ◽

Phase Conjugation ◽

Kerr Media

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Variational analysis of dipole soliton in nonlocal nonlinear Kerr media

Acta Physica Sinica ◽

10.7498/aps.59.4707 ◽

2010 ◽

Vol 59 (7) ◽

pp. 4707

Author(s):

Yang Zhen-Jun ◽

Li Shao-Hua ◽

Lu Da-Quan ◽

Hu Wei

Keyword(s):

Variational Analysis ◽

Kerr Media ◽

Dipole Soliton ◽

Nonlocal Nonlinear

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STABLE AND QUASISTABLE SPATIO-TEMPORAL SOLITONS IN CUBIC QUINTIC NONLINEAR MEDIA

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863504001694 ◽

2004 ◽

Vol 13 (01) ◽

pp. 25-36 ◽

Cited By ~ 6

Author(s):

SOUMENDU JANA ◽

S. KONAR

Keyword(s):

Numerical Experiment ◽

Dynamic Behavior ◽

Phase Modulation ◽

The Other ◽

Nonlinear Media ◽

Kerr Media ◽

Self Focusing ◽

Soliton State ◽

Variational Formalism ◽

Spatio Temporal

The propagation and stability of spatio-temporal solitons (STSs) under the combined influence of dispersion, diffraction, self-focusing and self-phase modulation in a medium possessing cubic quictic nonlinearity is investigated. Using variational formalism, it has been shown that a pair of soliton state exists, of which, one is stable, while the other quasistable. It has been established that while the stable one is possible only in cubic quintic nonlinear (CQNL) media, the quasistable one is well known in Kerr media. Existence of these solitons is also verified by means of numerical experiment. Moreover, it is also shown that unlike bistable temporal solitons, no spatio-temporal bistable soliton exists in CQNL media. Dynamic behavior of solitons spatial and temporal widths which are different from that of the stationary soliton state is also investigated. Bound oscillatory and unbound regions are identified.

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