Variational analysis of solitary waves in a homogeneous cubic-quintic nonlinear medium

Abstract

Fundamental solitary waves in a cubic-quintic nonlinear medium are investigated both numerically and variationally. An equivalent particle model is used to understand the behaviour of the numerical solutions, and while a super-Gaussian trial function is found to have only a limited range of applicability in the variational analysis, a super-sech trial function is found to match the numerical solutions well for all input powers. Various limits are also investigated.

Soliton Parameter Dynamics in a Non-Kerr Law Media

“…It was also demonstrated that there exists a significant χ (5) nonlinearity effect in a transparent glass in intense femtosecond pulses at 620 nm [4,16].…”

“…It arises in the nonlinear interaction between Langmuir waves and electrons and describes the nonlinear interaction between the high frequency Langmuir waves and the ion-acoustic waves by pondermotive forces [4,16]. There was little attention paid to the propagation of optical beams in the fifth order nonlinear media, since no analytic solutions were known and it seemed that chances of finding any material with significant fifth order term was slim.…”

“…It was recognized in 1960s and 70s that saturation of the nonlinear refractive index plays a fundamental role in the self-trapping phenomenon. Higher order nonlinearities arise by retaining the higher order terms in the nonlinear polarization tensor [16].…”

Optical Soliton Perturbation With Non-Kerr Law Nonlinearities

“…Furthermore, the parabolic law of nonlinearity arises in the context of Fiber Optics to consider nonlinearities higher than the third order to obtain some knowledge of the diameter of the self-trapping beam. The existence of a significant χ (5) nonlinearity effects for transparent glass in intense femtosecond pulses at 620 nm has been experimentally demonstrated [16]. The corresponding parameter dynamics is given by…”

Timing Shift of Optical Pulses Due to Inter-Channel Cross-Talk

“…In the modern times in telecommunications systems, the usage of optical fibers is a good transmission medium [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20].…”