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@article{MMNP_2025_20_a0, author = {S.E. Savotchenko}, title = {Wave propagation along the interface between the hyperbolic graded-index and photorefractive crystals}, journal = {Mathematical modelling of natural phenomena}, eid = {1}, publisher = {mathdoc}, volume = {20}, year = {2025}, doi = {10.1051/mmnp/2024023}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/2024023/} }
TY - JOUR AU - S.E. Savotchenko TI - Wave propagation along the interface between the hyperbolic graded-index and photorefractive crystals JO - Mathematical modelling of natural phenomena PY - 2025 VL - 20 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/2024023/ DO - 10.1051/mmnp/2024023 LA - en ID - MMNP_2025_20_a0 ER -
%0 Journal Article %A S.E. Savotchenko %T Wave propagation along the interface between the hyperbolic graded-index and photorefractive crystals %J Mathematical modelling of natural phenomena %D 2025 %V 20 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/2024023/ %R 10.1051/mmnp/2024023 %G en %F MMNP_2025_20_a0
S.E. Savotchenko. Wave propagation along the interface between the hyperbolic graded-index and photorefractive crystals. Mathematical modelling of natural phenomena, Tome 20 (2025), article no. 1. doi : 10.1051/mmnp/2024023. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/2024023/
[1] Nonlinear waves in optical and matter-wave media: a topical survey of recent theoretical and experimental results Rom. Jo. Phys. 2019 106
,[2] Localized structures in optical and matter-wave media: a selection of recent studies Roman. Rep. Phys. 2021 403
[3] Localized structures in optical media and Bose–Einstein condensates: an overview of recent theoretical and experimental results Roman. Rep. Phys. 2024 402
[4] Photorefractive slit waves Tech. Phys. Lett. 1997 586 588
,[5] Surface waves with photorefractive nonlinearity Phys. Rev. A 2007 013827
, , , , , , , , , , ,[6] Dark surface waves in self-focusing media with diffusion and photovoltaic nonlinearities Opt. Express 2013 15075 15080
, , , , , ,[7] Apodized waveguide arrays induced by photorefractive nonlinear surface waves Opt. Express 2015 31144 31149
, , , , ,[8] Guided modes in thin layer waveguide induced by photorefractive surface waves Chinese J. Luminescence 2018 1572 1578
, , , , ,[9] Propagation of surface waves along a dielectric layer in a photorefractive crystal with a diffusion mechanism for the nonlinearity formation Quant. Electron. 2019 850 856
[10] Nonlinear surface TM waves in a Kerr defocusing nonlinear slab sandwiched between photorefractive crystals Solid State Commun. 2019 32 36
[11] Nonlinear surface waves at the interface between optical media with different nonlinearity induction mechanisms JETP 2019 159 167
[12] Effect of the dark illumination intensity on the characteristics of surface waves propagating along the interface between photorefractive and nonlinear Kerr crystals Russ. Phys. J. 2020 160 170
[13] Surface waves at the boundary of a photorefractive crystal and a medium with positive Kerr nonlinearity Phys. Solid State 2020 1011 1016
[14] Surface waves at the boundary of a medium with a refractive index switching and a crystal with the diffusion-type photorefractive nonlinearity Phys. Solid State 2020 1415 1420
[15] Nonlinear surface waves on the boundary of a photorefractive crystal Quant. Electron. 2010 437 440
, , , , ,[16] Optical surface wave in a crystal with diffusion photorefractive nonlinearity Quant. Electron. 2011 980 985
,[17] Surface photorefractive wave on the boundary of a photorefractive metal-coated crystal Quant. Electron. 2011 262 266
, , , , ,[18] Characteristics of surface photorefractive waves in a nonlinear SBN-75 crystal coated with a metal film Quant. Electron. 2013 14 20
, , ,[19] A.B. Shvartsburg and A. Maradudin, Waves in Gradient Metamaterials. World Scientific, Singapore (2013) 339.
[20] Graded-index optical waveguides with nonlinear cladding J. Opt. Soc. Am. A 1988 374 379
,[21] M.J. Adams, An Introduction to Optical Waveguides. Wiley, Chichester (1981).
[22] C.-L. Chen, Foundations for Guided-wave Optics. John Wiley Sons, Inc. (2005) 462.
[23] Kato smoothing and strichartz estimates for wave equations with magnetic potentials Commun. Math. Phys. 2015 1 16
[24] Renato Helmholtz and dispersive equations with variable coefficients on exterior domains SIAM J. Math. Anal. 2016 1798 1832
, ,[25] A.D. Polyanin and A.I. Zhurov, Separation of Variables and Exact Solutions to Nonlinear PDEs. CRC Press, Taylor and Francis Group, LLC, Boca Raton, London (2022) 382.
[26] Exact analytical method for planar optical waveguides with arbitrary index profile J. Opt. Soc. Am. A 1999 2209 2212
, , , ,[27] Optical solitons of mathematical model with arbitrary refractive index Optik 2020 165391
[28] Optical solitons of the Chen–Lee–Liu equation with arbitrary refractive index Optik 2021 167935
[29] The dynamical study of Biswas-–Arshed equation via modified auxiliary equation method Optik 2022 168614
, ,[30] Optical solitons of nonlinear Schrödinger’s equation with arbitrary dual-power law parameters Optik 2022 168497
,[31] Stationary solitons of the model with nonlinear chromatic dispersion and arbitrary refractive index Optik 2022 168888
[32] Nonreciprocal propagation of spin waves in a bilayer magnonic waveguide based on yttrium-iron garnet films Russ. Technol. J. 2022 55 64
, , ,[33] Optical solitons and conservation law with Kudryashov’s form of arbitrary refractive index J. Opt. (India) 2021 542 547
, , , , , ,[34] Highly dispersive optical solitons in birefringent fibers with four nonlinear forms using Kudryashov’s approach J. Opt. (India) 2021 120 131
, , , , , , ,[35] Optical soliton perturbation with parabolic–nonlocal combo nonlinearity: undetermined coefficients and semi-inverse variational principle J. Opt. (India) 2022 22 28
, , , , , ,[36] Highly dispersive optical solitons with cubic law and cubic-quintic-septic law nonlinearities by two methods Rafidain J. Eng. Sci. 2023 1 8
,[37] Highly dispersive optical solitons with differential group delay for kerr law of self-phase modulation by Sardar sub-equation approach Contemp. Math. 2024 3839 383957
, , , , ,[38] Highly dispersive optical solitons with quadratic-cubic nonlinear form of self-phase modulation by Sardar sub-equation approach Contemp. Math. 2024 1300 1322
, , ,[39] Evaluation of impairment mitigations for optical fiber communications using dispersion compensation techniques Rafidain J. Eng. Sci. 2023 81 92
,[40] A fresh perspective on the concatenation model in optical fibers with Kerr law of self-phase modulation Eng. Sci. Technol. 2024 195 208
, , ,[41] Dark-singular straddled optical solitons for the dispersive concatenation model with power-law of self-phase modulation by Tanh-Coth approach Contemp. Math. 2024 3198 3214
, , ,[42] Solutions of resonant nonlinear Schrödinger’s equation with exotic non-Kerr law nonlinearities Rafidain J. Eng. Sci. 2023 43 50
,[43] Monolithic graded-refractive-index glass-based antireflective coatings: broadband/omnidirectional light harvesting and self cleaning characteristics J. Mater. Chem. C 2015 5440
, , , , , , , , , , , , ,[44] 4.62 kW excellent beam quality laser output with a low-loss Yb/Ce co-doped fiber fabricated by chelate gas phase deposition technique Opt. Mater. Express 2017 1259 1266
, , , , , , , , , , ,[45] Design and experimental evidence of a flat graded-index photonic crystal lens J. Appl. Phys. 2013 083105
,[46] Optical transmittance of photonic structures with linearly graded dielectric constituents New J. Phys. 2010 073033
, ,[47] Design and analysis of omni-directional solar spectrum reflector using one-dimensional photonic crystal J. Nanophoton. 2020 026005
, ,[48] High-index-contrast photonic structures: a versatile platform for photon manipulation Light Sci. Appl. 2022 316
, , , ,[49] Photonic bandgaps engineering in double graded hyperbolic, exponential and linear index materials embedded one-dimensional photonic crystals Eng. Res. Express 2019 025004
, , ,[50] Multi-channel photonic bandgap consequences in one-dimensional linear, exponential, and hyperbolic graded-index photonic crystals J. Opt. Soc. Am. B 2020 523
, , ,[51] Hyperbolic graded index biophotonic cholesterol sensor with improved sensitivity Progr. Electromagnet. Res. M 2023 165 176
,[52] P. Yeh, Optical Wave in Layered Media. Wiley, New Jersey (1988).
[53] The surface waves propagating along the contact between the layer with the constant gradient of refractive index and photorefractive crystal J. Opt. 2022 045501
[54] Waveguide properties of interface separating a photorefractive crystal with diffusion nonlinearity and an exponential graded-index medium Phys. Lett. A 2022 128516
[55] Surface waves propagating along the interface between parabolic graded-index medium and photorefractive crystal with diffusion nonlinearity Physica B: Condensed Matter 2023 414434
[56] Temperature controlled waveguide properties of the linearly graded-index film in semiconductor crystal with the photorefractive nonlinearity Appl. Phys. B: Lasers Opt. 2023 7
[57] The effect of dielectric slab between photorefractive crystal and graded-index medium on the surface wave properties Physica E 2023 115622
[58] S.E. Savotchenko, Nonlinear waves in a composite optical structure containing a dielectric layer between a photorefractive crystal and a medium with an exponential index profile. Waves in Random and Complex Media (2023).
[59] S.E. Savotchenko, Nonlinear surface waves propagating along an interface between the Kerr nonlinear and hyperbolic graded-index crystals. J. Opt. (India) 53 (2024).
[60] Features of the surface wave propagation along the interface between the hyperbolic graded-index layer and nonlinear medium with a step change in the dielectric constant Phys. Lett. A 2024 129822
[61] Effect of the temperature on the redistribution of an energy flux carried by surface waves along the interface between crystals with different mechanisms of formation of a nonlinear response JETP Lett. 2019 744 748
[62] W. Van Assche, Ordinary Special Functions. Encyclopedia of Mathematical Physics edited by J.-P. Françoise, G. L. Naber and T.S. Tsun. Academic Press, New York (2006) 637–645.
[63] Field intensity and power confinement of four-layer slab waveguides with various refractive index profiles in the guiding region J. Opt. Commun. 1994 95 100
, ,[64] Nonlinear surface waves with allowance for the saturation effect Tech. Phys. Lett. 1997 915 916
,[65] Nonlinear asymmetric waves induced in a symmetrical three-layer structure by the generation of excitons and biexcitons in semiconductors. Phys. Solid State 2008 1116 1120
,[66] Nonlinear s-polarized quasi-surface waves in the symmetric structure with a metamaterial core Phys. Solid State 2015 1456 1462
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