Soliton Propagation Through
Photorefractive Media
Lakshmi Parameswar
Abstract Incoherent soliton-beam propagation in photorefractive materials is investigated using the Manakov model. The Coupled Nonlinear Schrodinger Equation
(CNLSE) is solved to find the conditions under which the soliton-like waves can
propagate and the coupled-beam propagation through this media is investigated using
two-beam coupling. With appropriate choice of experimental parameters, the input
beam profile can be made to converge asymptotically to a soliton state whose PR
nonlinearity compensate for diffraction, and beam profile remains unchanged as it
propagates.
Keywords NLSE · Optical solitons · Photorefractive media · Two-beam coupling
1 Introduction
The development of mathematical properties of a large class of solvable nonlinear evolution equations has started with the first recorded observation of the “great
solitary” wave by Scott Russell in 1834. The other class of nonlinear evolution equations includes the Korteweg de-Vries (KdV), the sine-Gordan (sG), and the Nonlinear Schrödinger Equations (NLSE) [1]. Nonlinear differential equations fall into
two broad categories, the so-called “integrable” and “nonintegrable” systems. As a
consequence, in nonlinear dynamics there emerged two prominent sub-disciplines
“Solitons” and “Chaos”, corresponding to the integrable and nonintegrable types,
respectively. The “solitonic systems” are characterized by regular or predictable
behavior for all times of evolution. Contrary to this “chaotic systems” exhibit completely irregular and unpredictable behavior with sensitive dependence on initial
conditions.
L. Parameswar (B)
Department of Physics, D. B. Pampa College, Parumala, Pathanamthitta, Kerala, India
e-mail: lakshmisuresh48@gmail.com
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
K. S. Sreelatha and V. Jacob (eds.), Modern Perspectives in Theoretical Physics,
https://doi.org/10.1007/978-981-15-9313-0_9
119
Photorefractive Media
Lakshmi Parameswar
Abstract Incoherent soliton-beam propagation in photorefractive materials is investigated using the Manakov model. The Coupled Nonlinear Schrodinger Equation
(CNLSE) is solved to find the conditions under which the soliton-like waves can
propagate and the coupled-beam propagation through this media is investigated using
two-beam coupling. With appropriate choice of experimental parameters, the input
beam profile can be made to converge asymptotically to a soliton state whose PR
nonlinearity compensate for diffraction, and beam profile remains unchanged as it
propagates.
Keywords NLSE · Optical solitons · Photorefractive media · Two-beam coupling
1 Introduction
The development of mathematical properties of a large class of solvable nonlinear evolution equations has started with the first recorded observation of the “great
solitary” wave by Scott Russell in 1834. The other class of nonlinear evolution equations includes the Korteweg de-Vries (KdV), the sine-Gordan (sG), and the Nonlinear Schrödinger Equations (NLSE) [1]. Nonlinear differential equations fall into
two broad categories, the so-called “integrable” and “nonintegrable” systems. As a
consequence, in nonlinear dynamics there emerged two prominent sub-disciplines
“Solitons” and “Chaos”, corresponding to the integrable and nonintegrable types,
respectively. The “solitonic systems” are characterized by regular or predictable
behavior for all times of evolution. Contrary to this “chaotic systems” exhibit completely irregular and unpredictable behavior with sensitive dependence on initial
conditions.
L. Parameswar (B)
Department of Physics, D. B. Pampa College, Parumala, Pathanamthitta, Kerala, India
e-mail: lakshmisuresh48@gmail.com
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
K. S. Sreelatha and V. Jacob (eds.), Modern Perspectives in Theoretical Physics,
https://doi.org/10.1007/978-981-15-9313-0_9
119