Magneto-optic Waveguide Research Articles

Singular and dark-singular straddled solitons in magneto-optic waveguides with generalized anti-cubic form of self-phase modulation

AbstractThis paper recovers optical soliton solutions in magneto-optic waveguides that maintain the generalized version of anti-cubic form of nonlinear self-phase modulation structure. The csch method as well as the tanh–coth approach recovers the singular and dark-singular straddled optical solitons in such forms of magneto-optic waveguide. The existence criteria of such solitons are also presented.

Solitons in magneto-optic waveguides with generalized Kudryashov’s form of self-phase modulation structure

AbstractThe current paper recovers soliton solutions in magneto-optic waveguides having generalized form of Kudryashov’s self-phase modulation structure. The retrieval of soliton solutions is achieved by the well-known and primitive $$G^{\prime }/G$$ G ′ / G -expansion scheme. The intermediary functions that made this retrieval possible are Jacobi’s elliptic functions and Weierstrass’ elliptic functions. The parameter constraints for the solitons to exist are also presented.

Investigating the generalized Kudryashov’s equation in magneto-optic waveguide through the use of a couple integration techniques

Investigating the generalized Kudryashov’s equation in magneto-optic waveguide through the use of a couple integration techniques

On-Chip Broadband, Compact TM Mode Mach-Zehnder Optical Isolator Based on InP-on-Insulator Platforms.

An integrated optical isolator is a crucial part of photonic integrated circuits (PICs). Existing optical isolators, predominantly based on the silicon-on-insulator (SOI) platform, face challenges in integrating with active devices. We propose a broadband, compact TM mode Mach-Zehnder optical isolator based on InP-on-insulator platforms. We designed two distinct magneto-optical waveguide structures, employing different methods for bonding Ce:YIG and InP, namely O2 plasma surface activation direct wafer bonding and DVS-benzocyclobutene (BCB) adhesive bonding. Detailed calculations and optimizations were conducted to enhance their non-reciprocal phase shift (NRPS). At a wavelength of 1550 nm, the direct-bonded waveguide structure achieved a 30 dB bandwidth of 72 nm with a length difference of 0.256 µm. The effects of waveguide arm length, fabrication accuracy, and dimensional errors on the device performance are discussed. Additionally, manufacturing tolerances for three types of lithographic processes were calculated, serving as references for practical manufacturing purposes.

Dynamical behaviors, chaotic pattern and multiple optical solitons for coupled stochastic Schrödinger–Hirota system in magneto-optic waveguides with multiplicative white noise via Itô calculus

The primary focus of this study was on exploring the optical soliton solutions and chaotic patterns in magneto-optic waveguides through the coupled stochastic Schrödinger–Hirota equation with multiplicative white noise. Firstly, by means of traveling wave transformations and homogeneous balance principle, the coupled stochastic Schrödinger–Hirota equation in magneto-optic waveguides is transformed into ordinary differential equation. By selecting some suitable parameters, phase diagrams are plotted with the help of the mathematical software Maple. Secondly, the optical soliton solutions of the coupled stochastic Schrödinger–Hirota equation corresponding to phase orbits can be easily deduced through the method of dynamical systems. In addition, chaotic behavior for the coupled stochastic Schrödinger–Hirota system with perturbation term has been discussed in detail. Finally, the two-dimensional and three-dimensional graphs of the stochastic Schrödinger–Hirota equation are drawn, which further explain the propagation of the coupled stochastic Schrödinger–Hirota equation in nonlinear optics.

Three component coupled fractional nonlinear Schrodinger equations: Diversity of exact optical solitonic structures

Multicomponent-coupled nonlinear Schrodinger-type equations are significant mathematical models that have their origins in numerous disciplines such as the nonlinear optics, theory of deep water waves, plasma physics, and fluid dynamics, and many others. This work is mainly concerned to the study of fractional optical soliton solutions of the truncated fractional three component coupled nonlinear Schrödinger-type system. The study of soliton theory plays a crucial role in the telecommunication industry by the utilization of nonlinear optics. The principal area of research in the field of optical solitons revolves around optical fibers, meta-materials, metasurfaces, magneto-optic waveguides, and other related technologies. Therefore, the observation of these solitons attained significant attention from scholars in recent years. Optical solitons refer to electromagnetic waves that are confined within nonlinear dispersive medium, wherein the balance between dispersion and nonlinearity effects enables the intensity to remain constant. The two recently integration tools, refereed as modified Sardar subequation method and new Kudryashov approach, are under consideration to explore the governing system. In order to solve the system, first a fractional transformation is applied that offers the ordinary differential equation. Then by the assistance of homogeneous balance principle, the suggested methods are applied. We obtain the solutions in different types including mixed, dark, singular, bright–dark, bright, complex and combined solitons. Moreover, the hyperbolic, periodic and exponential function solutions are also extracted. In addition, the effect of fractional parameter has been observed by sketching the different plots. All the obtained solutions in thisTS: Please remove abstract heading study are verified by substitution back into the original equation through the software package Mathematica. The findings demonstrate the efficacy, efficiency and applicability of the computational methods employed. We anticipate that our work will be helpful for a large number of engineering models and other related problems.

Solitons propagation in magneto-optic waveguides having generalized anti-cubic law of nonlinearity

Solitons propagation in magneto-optic waveguides having generalized anti-cubic law of nonlinearity

Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides

In this article, truncated M-fractional coupled nonlinear Schrodinger equation (NLSE) with quadratic–cubic nonlinearity is under observation. The studied model is composed of chromatic dispersion, magneto-optic parameter and inter-modal dispersion. The NLSE is the most significant physical model to explain the fluctuations of optical soliton proliferation. The NLSEs have become more popular because of the clarity with which they explain a wide range of complex physical phenomena and the depth with which they display dynamical patterns via localized wave solutions. Optical soliton propagation in magneto-optic is currently a subject of great interest due to the multiple prospects for ultrafast signal routing systems and short light pulses in communications. The optical solitons are secured in the forms of bright, dark, singular and combo solitons. In addition, hyperbolic, periodic and exponential function solutions have been recovered. The modified Sardar subequation and enhanced modified extended tanh-expansion approaches recently developed integration tools are adopted in this study for securing the solutions. In nonlinear dispersive media, optical solitons are stretched electromagnetic waves that maintain their intensity due to a balance between the effects of dispersion and nonlinearity. The effect of parameters have been observed by allotting suitable values and sketching the different shapes of the graphs.

Effects of high dispersion and generalized non-local laws on optical soliton perturbations in magneto-optic waveguides with sextic-power law refractive index

Effects of high dispersion and generalized non-local laws on optical soliton perturbations in magneto-optic waveguides with sextic-power law refractive index

Optical solitons perturbation and traveling wave solutions in magneto-optic waveguides with the generalized stochastic Schrödinger–Hirota equation

Optical solitons perturbation and traveling wave solutions in magneto-optic waveguides with the generalized stochastic Schrödinger–Hirota equation

Method of searching coupled optical solitons to magneto- optic waveguides having parabolic-nonlocal law of refractive index

Numerous methodologies employed for the exploration of soliton solutions within nonlinear models demonstrate considerable efficacy and efficiency in addressing individual nonlinear partial differential equations (NLPDEs). However, their efficacy diminishes when applied to interconnected NLPDEs, owing to the presence of interaction terms in the coupled equations. Consequently, deriving exact solutions for such coupled equations presents a formidable challenge. In response to this challenge, several researchers have endeavored to solve coupled equations by assuming a proportional relationship between the solution in one line and that in another line, resulting in the imposition of excessive constraints and the subsequent reduction of coupled equations to a single equation. Regrettably, this approach compromises the fidelity of the physical phenomena that these equations aim to describe. In contrast, we propose a method characterized by its simplicity and directness, providing a more authentic and insightful analytical perspective for the investigation of coupled NLPDEs. The innovation lies in its capability to simultaneously propagate different types of solitons in two lines with a single operation, while also enabling the natural emergence of analogous solitons in both systems under minimal constraints. We apply this method to scrutinize the propagation of a diverse range of novel coupled progressive solitons in magneto-optical waveguides featuring a parabolic-nonlocal law of nonlinearity and governed by coupled nonlinear Schrödinger equations. The resultant solitons, depicted through detailed 2D and 3D visualizations in figures 1–12 demonstrate a multitude of coupled soliton forms, several of which are novel in the field.

Method of searching for a W-shaped like soliton combined with other families of solitons in coupled equations: application to magneto-optic waveguides with quadratic-cubic nonlinearity

Method of searching for a W-shaped like soliton combined with other families of solitons in coupled equations: application to magneto-optic waveguides with quadratic-cubic nonlinearity

Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov’s equation

The study of soliton theory plays a crucial role in the telecommunication industry’s utilization of nonlinear optics. The principal area of research in the field of optical solitons revolves around optical fibers, metamaterials, metasurfaces, magneto-optic waveguides, and other related technologies. Therefore, the examination of these solitons received significant attention from scholars in recent years. Optical solitons refer to electromagnetic waves that are confined within nonlinear dispersive medium, wherein the balance between dispersion and nonlinearity effects enables the intensity to remain constant. In this manuscript, the dynamical behavior of Kudryashov’s equation is discussed with the assistance of truncated M-fractional derivative. Kudryashov’s equation is a mathematical model utilized to characterize complex phenomena in telecommunications and transmission technology. It describes the propagation of nonlinear pulses in optical fibers. Different forms of soliton solutions like bright, dark, singular and combo solitions have been extracted. Moreover, hyperbolic, periodic and Jacobi elliptic function solutions are recovered. Two recently modern integration tools like Φ6-expansion method and modified generalized exponential rational function method have been adopted to recover the solutions. The used methods not only provides previously extracted solutions but also secures new solutions. In order to visually depict the output, a variety of graphs featuring distinct shapes are produced in response to appropriate parameter values. The results obtained from this research indicate that the chosen methodologies are effective in improving the understanding of nonlinear dynamical phenomena. A large number of engineers who employ engineering models are expected to find this research interesting. The results demonstrate that the selected methods are practical, straightforward to implement, and applicable to intricate systems across numerous domains, with a specific emphasis on the field of optical fibers. The findings indicate that the system may contain a considerable number of soliton structures.

Unraveling solitons dynamics in system of dispersive NLSE with Kudryashov's law of nonlinearity using improved modified extended tanh function method

In this work, the dynamics for coupled system of dispersive nonlinear Schrödinger equation with Kudryashov's law of nonlinearity are studied with the aid of improved modified extended tanh function method. This model is used to mimic the wave propagation through magneto-optic wave guides. Various types of solutions are extracted for the proposed model. These solutions including dark solitons, bright solitons and singular solitons, Weierstrass elliptic and singular periodic solutions. Moreover, the graphical illustrations of some solutions are introduced to demonstrate the nature of them.

Exact solutions of coupled NLSE for the generalized Kudryashov’s equation in magneto-optic waveguides

Exact solutions of coupled NLSE for the generalized Kudryashov’s equation in magneto-optic waveguides

Investigation of solitons in magneto-optic waveguides with Kudryashov’s law nonlinear refractive index for coupled system of generalized nonlinear Schrödinger’s equations using modified extended mapping method

In this work, we investigate the optical solitons and other waves through magneto-optic waveguides with Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation factors using the modified extended mapping approach. Many classifications of solutions are established like bright solitons, dark solitons, singular solitons, singular periodic wave solutions, exponential wave solutions, rational wave, solutions, Weierstrass elliptic doubly periodic solutions, and Jacobi elliptic function solutions. Some of the extracted solutions are described graphically to provide their physical understanding of the acquired solutions.

Extraction of optical solitons for nonlinear Biswas–Milovic equation in magneto-optic waveguide

Extraction of optical solitons for nonlinear Biswas–Milovic equation in magneto-optic waveguide

Exact solutions of perturbed stochastic NLSE with generalized anti-cubic law nonlinearity and multiplicative white noise

The paper retrieves the perturbed stochastic nonlinear Schrödinger equation in magneto-optic waveguides with generalized anti-cubic law nonlinearity and multiplicative noise in the Itô sense. Exact solutions are obtained with the aid of the trial equation method and the complete discriminant system for a polynomial. Compared to previous solutions, this method has achieved a broader and more comprehensive set of exact solutions. The obtained exact solutions help explain light propagation, nonlinear effects, the impact of noise on the system, and various physical processes occurring within waveguides. Some graphical simulations have been provided to demonstrate the dynamical behavior of the solutions and the impact of noise term in Itô sense.

Analytical solution to electromagnetic wave transport in planar magneto-optical waveguide: modal dispersion, coupling, and nonreciprocal flow.

The magneto-optical (MO) materials are essential for designing nonreciprocal devices, like isolators and circulators. Even though the study of MO effect has a long history, the recent works of fabricating nonreciprocal nanostructures, novel MO metamaterials, and topological photonics have garnered significant attention in both theoretical and experimental research of MO materials. In this work, we consider the planar MO waveguide mode. By setting the general form of the fields and utilizing the boundary conditions, the analytical solution of MO modes is obtained. We have shown the potential of such effective solution in analyzing the dispersions and transport behaviors of MO modes in the waveguide. Crossings and avoided crossings of modes will happen, which may due to the strong coupling of TE and TM modes in the waveguide. Faraday rotation can be observed during the propagation of MO modes and the energy flow will precess in the waveguide. These results can be applied in predicting the evolution of the modes in MO waveguides, which has potential in designing MO nonreciprocal devices.

Traveling wave solutions, dynamic properties and chaotic behaviors of Schrödinger equation in magneto-optic waveguide with anti-cubic nonlinearity

In this paper, the traveling wave solutions of the model of magneto-optic waveguide with anti-cubic nonlinearity are obtained by using the complete discrimination system for polynomial method, including singular solutions, solitary wave solutions,and double periodic solutions. And under specific parameter conditions, three types of optical wave patterns are obtained to visualize the model and demonstrate their accurate physical behavior. Then the dynamic properties of Schrödinger equation in magneto-optic waveguide with anti-cubic nonlinearity are analyzed, the existence of periodic and solitary solutions is proved based on the bifurcation method. Also the Hamiltonian properties and the classification of its equilibrium points are obtained. In final, we analyze the chaotic behavior of the model under some external perturbations.