Optical self-switching of unidirectional distributively coupled waves

Maĭer, A. A.

doi:10.3367/ufnr.0165.199509c.1037

Cited by 43 publications

(14 citation statements)

References 4 publications

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“…The value x * * = × FS S S x p p s taken by the independent spatial variable xat the point x * at which the curves intersect is a characteristic value of the variable x , as termed in optics [2][3][4][5][6][7]. Actually, it is the distance x * at which the amplitudes of the strong and weak waves become equal.…”

Section: Propagation Of Plane Harmonic Nonlinear Elastic Wavesmentioning

confidence: 99%

“…where a n k , are constants known from the theory of Weierstrass functions; l = ( / ) 2 3 r L . Important steps to be taken to find the effective shear modulus are to calculate the mean stress in a unit domain s s s s …”

mentioning

confidence: 99%

“…Optical transistors have been developed quite recently. They were studied experimentally and described theoretically [3,4,6,7]. Optical transistor topology has been patented [2,5,22].…”

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On the self-switching of hypersonic waves in cubic nonlinear elastic nanocomposites

Rushchitsky

2009

Int Appl Mech

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A summary on transistors and some facts on nanocomposite materials and their classical models are provided. New models used here for computer simulation are described. Results from a theoretical study of the interaction of cubic nonlinear harmonic elastic plane waves in a Murnaghan material are presented. The interaction of two harmonic waves is analyzed using the method of slowly varying amplitudes. The mechanism of energy pumping from a strong pump wave to a weak signal wave is examined. The theoretical and numerical analyses conducted suggest that in theory, a nanocomposite material may be used to create a transistor that would work with hypersonic waves and have a speed in the nanosecond range Keywords: nanotransistor, nanocomposite material, polymer matrix, nanotube, quadratic and cubic nonlinearity, self-switching, harmonic elastic plane waves 1. Transistor Summary. The transistor was invented by Shockley, Brattain, and Bardeen in 1948. Originally, by the transistor was meant a device generating and amplifying electric oscillation. Later, the concept was extended to oscillation of any nature. Optical transistors have been developed quite recently. They were studied experimentally and described theoretically [3,4,6,7]. Optical transistor topology has been patented [2,5,22]. The theoretical description of optical transistors is based on the equations of integrated, fiber, and nonlinear optics, including the nonlinear evolutionary equations for harmonic waves.To generate and amplify harmonic waves, transistors employ the following phenomenon: if waves of given frequencies and unequal intensities enter a piece of a material (medium), then the intensity of the output waves at the exit can be controlled-a small change in the input intensity results in a substantial change in the ratio of the output intensities.Two different sets of optical waves are mainly generated: two waves for quadratic nonlinear media and four waves for cubic nonlinear media.For example, a strong (of high intensity) pump wave of certain frequency and a weak (of low intensity) signal wave of frequency twice or half that of the pump wave are generated to enter a quadratic nonlinear optical medium. Under certain conditions (distance from the input to the output, etc.), only a pump wave is observed at the output if there is no signal wave at the input and if there is a weak signal wave at the input, then an intensive signal wave is observed at the output. In this case, the wave is said to switch itself from one frequency to another.This phenomenon is at the heart of optical transistors and amplifiers that have very high speed owing to the high velocity of optical waves. Thus, the self-switching of waves has gained practical importance and may be considered to underlie transistor theory.The studies [11,[23][24][25][26][27][28][29][30][31] showed that elastic harmonic waves can theoretically self-switch between the initial frequency and double or triple frequency in nonlinear elastic materials traditionally described by quadratic and cubic nonline...

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Section: Propagation Of Plane Harmonic Nonlinear Elastic Wavesmentioning

confidence: 99%

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confidence: 99%

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On the self-switching of hypersonic waves in cubic nonlinear elastic nanocomposites

Rushchitsky

2009

Int Appl Mech

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“…The width of the area where this self switching takes place exponentially decreases with an increase in the value of parameter L = κᐉ at expL ӷ 1, where κ is the linear constant of tunnel cou pling of the fundamental wave, and ᐉ is the length of the structure. Parameter Р с is determined from the condition QР с = 4κ, where Q is the nonlinear coeffi cient in coupled equations depending on the nonlin ear material constant [1]. This device can be used for the development of logic integrated circuits based on the "light-light" control scheme in purely optical communication and information processing systems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear self-switching of light in ferromagnetic tunnel-coupled optical waveguides

Карпова

2012

Opt. Spectrosc.

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Propagation of light in a two channel ferromagnetic tunnel coupled optical waveguide is analyzed in the case of weak influence of magneto optical nonlinear refraction due to the inverse Faraday effect. A gen eral solution is obtained under the assumption that tunnel coupling constants for TE and TM modes are close to each other. Investigation of polarization dependence revealed periodic energy exchange between normal waves, regimes of aperiodic energy transfer into one of the normal waves at each polarization, and new types of sudden self switching of the output radiation from one normal wave to the other, as well as from one waveguide to the other. Characteristic parameters of the effects are estimated.

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“…In an actual birefringence lightguide, various inhomogeneities and stressed regions result in the interaction of orthogonally polarized modes [2]. Close attention is constantly given to the feasibility of forming soliton-like pulses in these systems [3][4][5][6][7]. In studies of the radiation dynamics in birefringence lightguides, the wave packet formation by slow and fast components is of fundamental importance.…”

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Soliton-like pulses in nonlinear lightguides with strong birefringence and realizable intermode coupling

2007

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The dynamics of a wave packet formed by two unidirectional waves propagating in a nonlinear birefringence lightguide with and without linear coupling between the orthogonal pulse components is investigated. Conditions of forming soliton-like pulses are examined for various polarization angles of input radiation with allowance for the dispersion effects of the first and second orders and of the nonlinear effects caused by phase self-and crossmodulation.1. It is well known that the fundamental mode 11 HE of an ideal isotropic dielectric fiber lightguide with a circular cross section can have two mutually orthogonal polarization states with identical propagation constants [1]. If the cross section of this fiber lightguide is anisotropic and has two mutually orthogonal symmetry axes, the eigenmodes will be linearly polarized along these symmetry axes, and their propagation constants will be different. In an actual birefringence lightguide, various inhomogeneities and stressed regions result in the interaction of orthogonally polarized modes [2]. Close attention is constantly given to the feasibility of forming soliton-like pulses in these systems [3][4][5][6][7]. In studies of the radiation dynamics in birefringence lightguides, the wave packet formation by slow and fast components is of fundamental importance. It is well known that the wave packet can be coupled at the expense of nonlinear cross-modulation interaction between the orthogonally polarized waves and of linear interwave coupling that can be realized in lightguides with periodic inhomogeneities of the refractive index [2,8], dielectric and magnetic gyrotropy [9, 10], intermode acousto-optical interaction [11], etc.In the present paper, the special features of the nonlinear dynamics of an optical pulse propagating in an anisotropic nonlinear fiber lightguide (including the case of strong birefringence of the waveguide medium) and a pulse formed by two orthogonally polarized components under conditions of significant coupling between the orthogonal components resulting in the formation of a single wave packet are investigated. The propagation mode and dynamics of soliton-like pulses are investigated with allowance for the dispersion effects of the first and second orders and nonlinear and cross-modulation effects together with the linear interwave coupling modes.2. We now express the total field in a birefringence lightguide as a superposition of two slow and fast waves orthogonally polarized along the x and y axes. With allowance for linear and nonlinear coupling, the slowly varying amplitudes of these waves satisfy a system of coupled equations that in the running system of coordinates / t z u τ = − can be written as follows:

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Optical self-switching of unidirectional distributively coupled waves

Cited by 43 publications

References 4 publications

On the self-switching of hypersonic waves in cubic nonlinear elastic nanocomposites

On the self-switching of hypersonic waves in cubic nonlinear elastic nanocomposites

Nonlinear self-switching of light in ferromagnetic tunnel-coupled optical waveguides

Soliton-like pulses in nonlinear lightguides with strong birefringence and realizable intermode coupling

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