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Sharma, Anurag; Meunier, Jean-Pierre

doi:10.1023/a:1015072710209

Cited by 11 publications

(4 citation statements)

References 12 publications

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“…Thus, the model formulation reduces to the boundary problem containing the equations ( 7) and (8), and the boundary conditions equations ( 12)- (14). Note that equation ( 7) is a linear second order differential equation with a constant coefficients and the equation ( 8) is the Airy equation (or the Stokes equation).…”

Section: Theorymentioning

confidence: 99%

“…The wave in the graded-index medium is determined by the solution to equation (8) satisfying the condition equation ( 14) at x → +∞ in the case of β < n G0 , which is given by the same equation ( 20) at x > 0:…”

Section: Calculation Of the Field Distributionmentioning

confidence: 99%

“…The linearly graded, parabolic, exponential, Gaussian refractive index profiles, characterized by unique features [3,4], are often used in waveguide devices. The waveguide properties are studied with analytical [5] and numerical methods [6][7][8]. The analytical methods are divided into exact [9][10][11] and approximate (for example, Wentzel-Kramers-Brillouin (WKB), Stevenson-Pade) [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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The surface waves propagating along the contact between the layer with the constant gradient of refractive index and photorefractive crystal

Савотченко

2022

J. Opt.

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We consider the photorefractive crystal with diffusion nonlinearity mechanism contacting with the linearly graded-index medium. The new types of the surface waves propagating along the contact are found and their properties are described. The transition between two types of the surface waves can be controlled by the waveguide temperature. The light field penetrates into the photorefractive crystal much deeper than into the graded-index medium. The maxima intensity monotonically increase with an increase in the propagation constant, and monotonically decrease with an increase in the temperature. The localization length of the surface waves decreases with an increase in the characteristic distance the graded-index medium and with a decrease in the propagation constant and the temperature. The discrete spectrum of the propagation constant for the special waveguide mode corresponding to the case of exponential damping of intensity maxima of the surface waves with an increasing temperature is obtained. It is shown that the intensity maxima in the photorefractive crystal depend parabolic on the temperature at low temperature waveguide mode.

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Section: Theorymentioning

confidence: 99%

Section: Calculation Of the Field Distributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The surface waves propagating along the contact between the layer with the constant gradient of refractive index and photorefractive crystal

Савотченко

2022

J. Opt.

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“…Numerical and analytical methods for calculating waveguides with a gradient refractive index have been developed [41][42][43][44]. The authors of [45][46][47][48][49] use the accurate and exact methods to analyze the planar optical waveguides with arbitrary index profile.…”

Section: Introductionmentioning

confidence: 99%

Surface waves propagating along the interface between a parabolic graded-index medium and a self-focusing nonlinear medium: exact analytical solution

Савотченко

2022

J. Opt.

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The waveguide properties of interface between a parabolic graded-index medium and a self-focusing nonlinear medium are described theoretically. The exact analytical solution to the wave equation with dielectric permittivity dependent on the distance from interface and on the electric field intensity is found. The obtained solution describes the new type of nonlinear surface wave. It is shown that the electric field is localized completely inside the parabolic graded-index layer. The dispersion equation determining explicit dependence of the effective refractive index on the thickness of the parabolic graded-index layer and the change in dielectric constant in it is found in a particular case corresponding to the exotic surface wave propagation. The influence of the optical parameters on the distribution profile of the electric field across is analyzed. The decrease in the field in surface waves with distance from the interface is non-exponential.

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Guided waves in a graded-index substrate covered by an intensity-dependent defocusing nonlinear medium

Савотченко

2022

Appl. Phys. B

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Untitled

Cited by 11 publications

References 12 publications

The surface waves propagating along the contact between the layer with the constant gradient of refractive index and photorefractive crystal

The surface waves propagating along the contact between the layer with the constant gradient of refractive index and photorefractive crystal

Surface waves propagating along the interface between a parabolic graded-index medium and a self-focusing nonlinear medium: exact analytical solution

Guided waves in a graded-index substrate covered by an intensity-dependent defocusing nonlinear medium

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