The composite planar waveguide structure consisting of the linearly graded-index layer and the nonlinear layer formed with an increasing the electric field

Савотченко, С. Е.

doi:10.1016/j.ijleo.2021.168542

Cited by 22 publications

(10 citation statements)

References 59 publications

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“…Recently, we describe analytically surface waves propagating along the contact between the linearly graded-index layer and photorefractive crystal [60]. We find also the exact analytical solutions describing the surface waves propagating along the contact between the linearly graded-index layer and crystal with the layer, in which the Kerr nonlinear response appears with increasing the electric field [61]. In addition, we describe theoretically light localization in a linearly graded-index substrate covered by intensity dependent nonlinear self-focusing cladding [62].…”

Section: Introductionmentioning

confidence: 81%

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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Section: Introductionmentioning

confidence: 81%

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 media containing the graded-index layer were considered in our recent papers [44,45]. The contact of media with the graded-index layer and photorefractive crystal was described in [45].…”

Section: Discussionmentioning

confidence: 99%

“…where c is the speed of light. The field E(z) also obeys the boundary conditions corresponding to continuity of the field and its derivative at the interface (z = 0), and at the plane z = −z c determined by condition I(−z c ) = I c where I c is the critical value of the light intensity, above the value of which there is an abrupt change in the parameters of the Kerr nonlinear response [44,[52][53][54][55][56]. In addition, it is assumed that the light intensity satisfies the condition I(z) → 0 at |z| → ∞.…”

Section: Model and Equationsmentioning

confidence: 99%

“…Here we calculate and analyze the light localization near the interface between the graded-index substrate and the selffocusing nonlinear cover with α 1,2 > 0. Then we obtain the light intensity distribution across the interface in the range of the effective refractive index max{ε 1 , ε 2 } < n 2 < ε 0 [44,45]:…”

Section: Light Intensity Distributionmentioning

confidence: 99%

“…In particular, the authors of [43] obtain and analyze the dispersion curves of a planar waveguide with an exponential gradedindex guiding layer and a nonlinear cladding. We described the new type of the composite planar waveguide characterized by unique optical properties caused by the special selection of the waveguide structure consisting of the linearly gradedindex layer and medium characterized by a sharp appearance of self-focusing Kerr type nonlinear response [44]. The waveguide consisting of the contacting semi-infinite photorefractive crystal and graded-index semi-infinite medium was considered in [45].…”

Section: Introductionmentioning

confidence: 99%

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Light localization in a linearly graded-index substrate covered by intensity dependent nonlinear self-focusing cladding

Савотченко

2022

J. Opt.

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The new features of the light localization along the graded-index substrate covered by the cladding characterized by a self-focusing nonlinearity are described theoretically. In the model of nonlinearity the dielectric function in substrate depends linearly on the distance from the cover-substrate interface. The optical characteristics of Kerr type positive nonlinear response in the cover is changed abruptly with an increasing light intensity. The light intensity distribution in across interface direction described by exact solution to nonlinear wave equation is calculated and analyzed. It is found that increasing the width of the graded-index layer leads to a shift in the position of the maximum intensity. The intensity maximum appears in the graded-index substrate after the effective refractive index reaches the critical value. The thickness of nonlinear near-surface layer, which is formed after the light intensity reaches the critical value, monotonically decreases with increasing width of the graded-index layer. The possibility of realizing a multimode regime of the light propagation, which can be realized with an increasing width of the graded-index layer and it is characterized by a deep penetration of the light field into the substrate, is derived. The possibility of control the distribution of the light power between the cover and substrate by change in the effective refractive index and the width of the graded-index layer is described.

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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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The composite planar waveguide structure consisting of the linearly graded-index layer and the nonlinear layer formed with an increasing the electric field

Cited by 22 publications

References 59 publications

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

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

Light localization in a linearly graded-index substrate covered by intensity dependent nonlinear self-focusing cladding

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

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