Chirped, breathers, diamond and W-shaped optical waves propagation in nonself-phase modulation medium. Biswas–Arshed equation

2021 ◽  
pp. 2150097
Author(s):  
H. I. Abdel-Gawad
Keyword(s):  
Kerr Effect ◽  
Phase Modulation ◽  
Periodic Wave ◽  
Optical Kerr Effect ◽  
Optical Wave ◽  
Optical Waves ◽  
Waves Propagation ◽  
The Waves ◽  
The Unified Method ◽  
Unified Method

Self-phase modulation (SPM) induces a varying refractive index of the medium due to the optical Kerr effect. The optical waves propagation (OWP) in a medium with SPM occupied a remarkable area of research in the literature. A model equation to describe OWP in the absence of SPM was proposed very recently by Biswas–Arshed equation (BAE). This work is based on constructing the solutions that describe the waves which arise from soliton-periodic wave collisions. A variety of geometric optical wave structures are observed. Here, a transformation that allows to investigate the multi-geometric structures of OW’s result from soliton-periodic wave collisions is introduced. Chirped, conoidal, breathers, diamond and W-shaped optical waves are shown to propagate in the medium in the absence of SPM. The exact solutions of BAE are obtained by using the unified method, which was presented recently. We mention that the results found here, are completely new.

scholarly journals A Generalized Kundu-Eckhaus Equation With An Extra-Dispersion: Pulses Configuration

2021 ◽  
Author(s):  
Hamdy. Abdel-Gawad
Keyword(s):  
Exact Solutions ◽  
Optical Fibers ◽  
Phase Modulation ◽  
Raman Effect ◽  
Optical Pulses ◽  
Spectral Content ◽  
Sharp Waves ◽  
The Unified Method ◽  
Unified Method ◽  
Cascade Complex

Abstract Raman effect is due to self-phase modulation (SPM), which is embedded in Kundu-Eckhaus equation KEE. Here, a generalized KEE is suggested by accounting for an extra dispersion. Here, we are concerned with finding the exact solutions of the proposed equation, which is done by using the unified method. In this work, we aim to show that the optical pulses OPs propagation in optical fibers may show a variety of shapes. Waves of multiple geometric shapes are observed. Among these waves, hybrid lumps, soliton, cascade, complex chirped, hybrid w-shaped, rhombus (diamond) waves and soliton modulation, which is induced by SPM. Further, the pulses intensity, frequency, wavelength, polarization, and spectral content are introduced. The results found here are of great interest in experimenting the effects of the induced dispersion on pulses configurations. Further, the colliding dynamics are inspected and as it is observed that no rogue or sharp waves formation holds, so the collision is elastic.

Frequenzmodulation und Kompression ultrakurzer Lichtimpulse

1970 ◽  
Vol 25 (11) ◽  
pp. 1626-1642 ◽  
Author(s):  
A. Laubereau ◽  
D. Von Der Linde
Keyword(s):  
Kerr Effect ◽  
Phase Modulation ◽  
Optical Switching ◽  
Optical Pulse ◽  
Experimental Investigations ◽  
Optical Kerr Effect ◽  
Elliptical Polarization ◽  
Compression Method ◽  
Higher Power ◽  
Optical Grating

Abstract Expressions are given for the phase modulation by the optical Kerr effect and the resulting frequency broadening of an optical pulse with elliptical polarization. The compression method is discussed for a quantitative comparison with experimental investigations. Starting with single pulses of 20 ps duration and 0.4 cm -1 frequency width, generated by a mode-locked laser and an optical switching device, the phase modulation in an external cell containing CS2 produced a frequency broadening of 5 cm-1 typically. A compression factor of 5 is achieved in a system consisting of one optical grating and a reflection prism. Satisfactory agreement between theory and experiment is obtained for the frequency modulation Δω) and the compression length l. Our data suggest that the time dependence of our input pulses is symmetric with wings of higher power than those of a Gaussian pulse.

scholarly journals Transverse magneto-optical Kerr effect measured using phase modulation

2006 ◽  
Vol 1 ◽  
Author(s):  
K. Postava ◽  
A. Maziewski ◽  
A. Stupakiewicz ◽  
A. Wawro ◽  
L. T. Baczewski ◽  
...  
Keyword(s):  
Kerr Effect ◽  
Phase Modulation ◽  
Optical Kerr Effect ◽  
Magneto Optical Kerr Effect

Photo-Induced Magneto-Optical Kerr Effect in Europium Sulfide EuS

2020 ◽  
Vol 62 (9) ◽  
pp. 1619-1623
Author(s):  
P. A. Usachev ◽  
V. N. Katz ◽  
V. V. Pavlov
Keyword(s):  
Kerr Effect ◽  
Optical Kerr Effect ◽  
Europium Sulfide ◽  
Magneto Optical Kerr Effect

scholarly journals Investigation of microstructural attributes of steel surfaces through magneto-optical Kerr effect

2021 ◽  
Vol 11 ◽  
pp. 1245-1259
Author(s):  
M. Jovičević-Klug ◽  
P. Jovičević-Klug ◽  
J. McCord ◽  
B. Podgornik
Keyword(s):  
Kerr Effect ◽  
Optical Kerr Effect ◽  
Steel Surfaces ◽  
Magneto Optical Kerr Effect

scholarly journals The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations

2021 ◽  
Vol 22 ◽  
pp. 103979
Author(s):  
Nauman Raza ◽  
Muhammad Hamza Rafiq ◽  
Melike Kaplan ◽  
Sunil Kumar ◽  
Yu-Ming Chu
Keyword(s):  
Local Time ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Nonlinear Evolution Equations ◽  
The Unified Method ◽  
Unified Method
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