Magneto-optic Waveguide Research Articles

Mode conversion and separation in magneto-optical photonic crystal waveguide.

We present mode conversion in different magneto-optical photonic crystal (MOPC) waveguides. An odd-mode waveguide (OMW) and an even-mode waveguide (EMW) are designed by adjusting the geometric parameters of the waveguide. These waveguides are constructed by adding a layer of yttrium-iron-garnet (YIG) rods with opposing magnetic fields between an MOPC and an Al2O3 photonic crystal (PC). Due to the coupling effect caused by the middle layer of YIG rods, the OMW (or EMW) only supports an odd (or even) mode within a single-mode frequency range. Simulation results demonstrate that they can convert other modes into odd or even modes, and there is almost no power loss during the conversion. Most importantly, they are robust against backscattering from perfect electric conductors (PECs) and point defects. Based on these properties, we propose a device that can efficiently separate the odd and even modes into different ports. These results offer a novel approach to controlling the transmission modes of waveguides, which facilitates the interconnection of diverse topological magneto-optical waveguides.

On application of the new mapping method to magneto-optic waveguides having Kudryashov’s law of refractive index

This paper obtains solitons and other exact traveling wave solutions to magneto-optic waveguides that maintains Kudryashov’s law of refractive index using the new mapping method and computer algebraic systems (CAS) such as Maple or Mathematica. These solutions are important for understanding the behavior of waveguides in telecommunications, optical computing and sensing. Dark solitons, bright solitons, bright-dark solitons, combo solitons, singular solitons and periodic solutions are obtained. Further, some 2D and 3D graphs of the obtained exact traveling wave solutions are shown. Finally, comparison between our new results and the well-known results is made.

Derivation of optical solitons in magneto-optical waveguides to coupled BMEs having Kudryashov’s nonlinearity

Derivation of optical solitons in magneto-optical waveguides to coupled BMEs having Kudryashov’s nonlinearity

Optical solitons in magneto-optic waveguides for perturbed NLSE with Kerr law nonlinearity and spatio-temporal dispersion having multiplicative noise via Itô calculus

Object:The current article studies optical solitons solutions for the dimensionless form of the perturbed NLSE in magneto-optic waveguides with Kerr law nonlinearity and spatio-temporal dispersion (STD) having multiplicative noise in the itô sense. Method:The G′/G–expansion method and addendum Kudryashov’s method are investigated. Result:We secure the straddled soliton, the combo bright-singular soliton, bright soliton, dark soliton and singular soliton solutions for the model.

Optical Solitons in Magneto-Optic Waveguides Having Kudryashov’s Law of Nonlinear Refractive Index by Trial Equation Approach

The paper addresses optical solitons in magneto-optic waveguides that are studied using Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation terms. The trial solution approach yielded a variety of soliton solutions, which are listed in this paper.

Exploration of New Optical Solitons in Magneto-Optical Waveguide with Coupled System of Nonlinear Biswas–Milovic Equation via Kudryashov’s Law Using Extended F-Expansion Method

Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method. Various types of solutions are extracted, such as dark soliton solutions, singular soliton solutions, a dark–singular combo soliton, singular combo soliton solutions, Jacobi elliptic solutions, periodic solutions, combo periodic solutions, hyperbolic solutions, rational solutions, exponential solutions and Weierstrass solutions. The obtained different types of wave solutions help in obtaining nonlinear optical fibers in the future. Furthermore, some selected solutions are described graphically to demonstrate the physical nature of the obtained solutions. The results show that the current method gives effectual and direct mathematical tools for resolving the nonlinear problems in the field of nonlinear wave equations.

Coupled sn-cn, sn-dn, cn-dn Jacobi elliptic functions and solitons solutions in magneto-optic waveguides with quadratic-cubic nonlinearity

The current paper is dedicated to the study of the propagation of progressive solitons in magneto-optical waveguides that carry the quartic-cubic nonlinearity described by a coupled system of of nonlinear Schrödinger equations. In this direction, we take the help of a modified F-expansion method which allows us to widen the class of solutions to these coupled equations and permit the propagation of different waves in the two channels. First of all, we constructed the solutions in terms of Jacobi elliptic functions in the forms of and After that, we obtained the progressive soliton solutions when these functions approached their limiting values with regards to the modulus of ellipticity. The progressive solutions include bright-dark soliton, bright-bright soliton, dark-dark soliton, bright-front soliton, dark-front soliton. In addition, we present the figures 1–6 which graphically exhibit the representative structures of each explicit solution for some special parameter values.

Dispersive optical solitons in magneto-optic waveguides for perturbed stochastic NLSE with generalized anti-cubic law nonlinearity and spatio-temporal dispersion having multiplicative white noise

Object:The current article studies optical solitons solutions for the dimensionless form of the perturbed stochastic NLSE in magneto-optic waveguides with generalized anti-cubic (GAC) law nonlinearity and spatio-temporal dispersion (STD) having multiplicative noise in the itô sense. Methods:The generalized Jacobi-elliptic function expansion method and the addendum Kudryashov’s method are investigated. Results:The generalized Jacobi elliptic function expansion method secures the Jacobi’s elliptic functions solutions, the dark and singular soliton solutions as long as the Weierstrass elliptic functions solutions and periodic wave solutions. The addendum Kudryashov’s method deduces the combo bright-singular soliton, bright soliton and singular soliton solutions.

Coupled sn-cn, sn-dn, cn-dn Jacobi elliptic functions and solitons solutions in magneto-optic waveguides having parabolic-nonlocal law of refractive index

In this work, we recover progressive soliton solutions in magneto-optic waveguides having the parabolic-nonlocal law of refractive index. An improved F-expansion approach retrieves solutions in terms of coupled cn−sn,cn−dn, and dn−sn Jacobi elliptic functions. Subsequently, in the limiting approach, when the modulus of ellipticity approaches unity, progressive soliton solutions are retrieved. Under some special parameter values that controlled the existence of these solutions, some representative wave structures are graphically displayed in Figs. 1-6.

Dispersive optical solitons in magneto-optic waveguides with stochastic generalized Schrôdinger–Hirota equation having multiplicative white noise

Objective:The objective of this article is to study the stochastic perturbed generalized Schrôdinger–Hirota equation in magneto-optic waveguides having multiplicative white noise in the Itô sense. Methods:The extended simplest equation algorithm and the Φ6-model expansion scheme are applied. Results:The Jacobi-elliptic solutions, bright solitons, dark solitons, singular solitons, combo-singular solitons, periodic solutions and rational solutions of the given equation are constructed.

Dispersive solitons in magneto-optic waveguides with Kudryashov’s form of self-phase modulation

This paper retrieves the coupled system of nonlinear Schrödinger’s equation with Kudryashov’s equation in magneto-optic waveguides. We obtain three types of optical wave patterns with the help of the trial equation approach and the complete discriminant system for a polynomial. Under specific parameter values, surface plots of solitons are displayed to visualize the model and demonstrate their accurate physical behaviors.

Magneto-Optical Waveguide Logic Gates and their Applications

Magneto-Optical Waveguide Logic Gates and their Applications by Shukhrat Egamov * , Abduvali Khidirov , Mirzokulov Khotam Bakhtiyor ugli Tashkent University of Information Technologies, Samarkand Branch, Samarkand, 140100, Uzbekistan * Author to whom correspondence should be addressed. Journal of Engineering Research and Sciences, Volume 1, Issue 8, Page # 19-26, 2022; DOI: 10.55708/js0108003 Keywords: Faraday

Solitons in magneto-optic waveguides for nonlinear Schrödinger’s equation with parabolic-nonlocal law of refractive index by using extended simplest equation method

Solitons in magneto-optic waveguides for nonlinear Schrödinger’s equation with parabolic-nonlocal law of refractive index by using extended simplest equation method

Solitons and complexitons in magneto-optic waveguides with anti-cubic nonlinearity using modified extended direct algebraic method

Solitons and complexitons in magneto-optic waveguides with anti-cubic nonlinearity using modified extended direct algebraic method

Cubic–quartic optical solitons in magneto-optic waveguides for NLSE with Kudryashov’s law arbitrary refractive index and generalized non-local laws of nonlinearity

The present work addresses, for the first time, the cubic–quartic optical solitons in magneto-optic waveguides (MOW) for NLSE with Kudryashov’s law (KL) arbitrary refractive index and generalized non-local laws of nonlinearity. Two integrative methods, namely, the modified Kudryashov’s (MK’s) methodology and the addendum to Kudryashov’s (AK’s) methodology are utilized. Many different pattern of soliton solutions are deduced such as dark, bright optical solutions, candid solutions and combo bright-singular (CBS) solutions.

Cubic–quartic optical solitons in magneto-optic waveguides for Biswas–Milovic equation with Kudryashov’s law of arbitrary refractive index

This article reports cubic–quartic optical solitons in magneto-optic waveguides with Biswas–Milovic equation having Kudryashov’s nonlinear form for the first time. Bright, dark, singular and bright–singular solitons are retrieved via two integration methods.

Femtosecond-laser fabrication of magneto-optical waveguides in terbium doped CaLiBO glass

Femtosecond laser micromachining has potential application in integrated photonics thanks to its ability to produce micrometer-size three-dimensional structures in different types of materials, including the ones whose properties can be externally altered, which allows for the fabrication of optically active devices. In this work, we demonstrate the fs-laser fabrication of magneto-optical waveguides in CaLiBO (calcium-lithium tetraborate) glasses codoped with Yb+3 and Tb3+ ions. Single-mode type waveguides were produced using fs-pulses with ∼0.1 J/cm2 and 6.5 × 105 pulses/spot, an important feature for integrated photonic devices. The fabricated waveguides display Faraday effect, with a Verdet constant of 560° T−1m−1, for the sample containing 2% of Tb3+, which is equivalent to the one observed for the bulk. Such a result demonstrates that fs-laser micromachining, in the conditions used here, does not negatively affect the magneto-optical properties of the sample. Thus, our results open a new pathway towards the processing of magneto-optical waveguides aimed at applications in magneto-optical photonic microdevices.

Creation of magnetic thin film integrated optical non-reciprocal element using supersonic free jet PVD method

Professor Hideki Yokoi, Department of Electronic Engineering, Shibaura Institute of Technology, Japan, is focused on developing a magneto-optical waveguide with a semiconductor waveguide layer. He and his team are using wafer bonding technology and a new film forming method called the supersonic free jet PVD method to create an optical waveguide with an arbitrary layer structure. The research of Yokoi and the team is paving the way for the possibility to easily manufacture an optical waveguide of any layer structure, which will lead to the development of magneto-optical waveguides for optical nonreciprocal elements, optical integrated circuits that will integrate the optical elements with various functions, and optoelectronic integrated circuits. In addition, by replacing electrical wiring with optical wiring, there will be a suppression of heat loss and reduction of power consumption, reaping environmental benefits. Yokoi and the team are working alongside the International Research Centre for Green Electronics (IRCGE), which aims to contribute to green innovation. Ultimately, Yokoi hopes his findings will have benefits that will expand beyond the field of optical communications, including a positive environmental impact through reduced power consumption.

Optical solitons and other solutions for coupled system of nonlinear Schrödinger’s equation with parabolic nonlocal law of refractive index by using the improved modified extended tanh function method

In this paper, the improved modified extended tanh function method is applied to secure optical soliton solutions in magneto-optic waveguides for coupled system of non-linear Schrödinger equation with parabolic non-local law of refractive index. Bright soliton solutions, dark soliton solutions and singular soliton solutions are obtained. Moreover, for the physical illustration of the obtained solutions, 3D and their corresponding 2D graph are presented.

Optical solitons and other solutions for coupled system of nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index by Jacobi elliptic function expansion method

In this article, Jacobi elliptic function expansion method is applied to secure optical soliton solutions in magneto-optic waveguides for coupled system of nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index. Bright soliton solutions, dark soliton solutions and singular-bright combo soliton solutions are obtained. Also, periodic solutions and Jacobi elliptic solutions are reported. The most significant achievement of this approach is that it offers all the solutions that can be found by the use of other techniques. Moreover, for the physical illustration, some of the obtained solutions are represented graphically.