Dispersion properties of slab waveguides with a linear graded-index film and a nonlinear substrate

Hussein, Aya J.; Nassar, Zaher M.; Taya, Sofyan A.

doi:10.1007/s00542-020-05016-z

Cited by 31 publications

(3 citation statements)

References 12 publications

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“…The combination of nonlinear and gradient layers of waveguides is the development of this area of theoretical research in guided wave optics [31,32]. Solutions describing the waves near a linear graded-index layer with Kerr nonlinear substrate are presented in [33,34]. We obtain exact analytical solutions described the waves near a linear graded-index layer contacting with media with different nonlinearities [35,36].…”

Section: Introductionmentioning

confidence: 99%

New features of the surface wave propagation along an exponentially graded-index layer and nonlinear substrate with generalized Kerr-type nonlinear response

Савотченко

2023

J. Phys. A: Math. Theor.

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New surface waves travelling along the interface between the medium with the same type of generalization of Kerr nonlinearity and an exponentially graded-index layer are found. The Kerr nonlinearity generalization is assumed to be an abruptly change in the values of Kerr nonlinear response parameters from one to another after the wave amplitude exceeds the threshold value of electric field. The differences between the localization features of surface waves in self-focusing and defocusing media are established. It is shown that the bulk of the surface wave energy is transferred in the optical domain formed near the interface in the case of contact between a graded-index medium and a self-focusing one, which can play the role of the core of the waveguide system. The opposite effect is observed in the case of contact between a graded-index and a defocusing medium, when the main fraction of the surface wave energy is transferred along the graded-index layer, and in the optical domain it is much lower than in a nonlinear substrate.

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Section: Introductionmentioning

confidence: 99%

New features of the surface wave propagation along an exponentially graded-index layer and nonlinear substrate with generalized Kerr-type nonlinear response

Савотченко

2023

J. Phys. A: Math. Theor.

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“…Despite the fact that these structures are more realistic, only a small number of papers [5][6][7][8][9] have sought to explore them as compared to the majority of publications that have reported step-index structures. To determine the modal characteristics of graded-index structures with various profiles, analytical and numerical approaches were developed [10][11][12][13][14][15]. Treating particular profiles analytically is challenging.…”

Section: Introductionmentioning

confidence: 99%

Using Hocker and Burns numerical method to analyze the dispersion properties of a planar waveguide with an exponentially graded-index core layer for s-polarized light

Almawgani

Hussein

Taya

et al. 2023

J. Phys. A: Math. Theor.

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Although not realistic, the theory of step-index waveguide has been discussed in most published works. Electric and magnetic fields can be written as well-known functions such as exponential, sine and cosine functions. However, the index distribution of the most practical waveguides is better described as graded. Despite certain similarities, step-index and graded-index waveguide structures also have considerable differences. The characteristic equation of s-polarized wave propagating in a planar waveguide with an exponentially graded-index thin core layer is examined in this work using the Hocker and Burns numerical approach. This method utilizes the effective index method of analyzing waveguides with 2-D confinement. It was efficiently applied to problems of channel waveguides formed by diffusion. The technique depends on finding the phase shift of the curved optical path in the graded index zone as stacked infinite thin layers. Three factors contribute to the total transverse phase shift: 1) film-cladding interface phase delay, 2) film-substrate interface phase delay, and 3) phase delay caused by the zigzag optical path of the guiding film. The findings revealed the following intriguing observations. The dispersion curves of the graded-index waveguide structure are in the normal shape in which the generalized guide index (GeGI) increases with the rise of the normalized frequency. At high values of the normalized frequency, the GeGI displays less dependence on it. The dispersion curves show cut-off thicknesses which increase for higher asymmetry measure values. A comparison between graded-index and step-index waveguide structures is carried out.

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“…The unique properties of surface waves arise along the interfaces between media with fundamentally different mechanisms for the formation of optical properties, in particular, spatially distributed or nonlinear optical properties. Composite waveguides combining graded-index and nonlinear intensitydependent layers can be considered the most promising from the point of view of technical application [57][58][59].…”

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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Dispersion properties of slab waveguides with a linear graded-index film and a nonlinear substrate

Cited by 31 publications

References 12 publications

New features of the surface wave propagation along an exponentially graded-index layer and nonlinear substrate with generalized Kerr-type nonlinear response

New features of the surface wave propagation along an exponentially graded-index layer and nonlinear substrate with generalized Kerr-type nonlinear response

Using Hocker and Burns numerical method to analyze the dispersion properties of a planar waveguide with an exponentially graded-index core layer for s-polarized light

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

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