Electrodynamic properties of a waveguide with layered-periodic walls

Kostylyova, O.V.; Bulgakov, A. A.; Кононенко, В. К.

doi:10.1007/s11141-005-0047-0

Cited by 4 publications

(3 citation statements)

References 5 publications

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“…Taking into account the boundary conditions and using the Flocket theorem, we obtain the dispersion equation for a waveguide with periodic layered walls [14] …”

Section: Solution Of the Linear Problemmentioning

confidence: 99%

“…Therefore, physically, the coefficient W kk k is the ratio between the energy related to the nonlinear wave interaction and the energy of the wave itself. The solution of system (14) for the case of interaction between the first and second harmonics where the nonlinear interaction coefficients are imaginary quantities and the initial values of the amplitudes obey the inequality |C(0)| |C (0)| has the form…”

Section: Exciting the Second Harmonicmentioning

confidence: 99%

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Nonlinear harmonic interaction in a waveguide with periodic layered walls

Bulgakov

Kostyleva

2006

Radiophys Quantum Electron

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UDC 539.21We study the harmonic interaction in the nonlinear guiding layer located between two periodic layered structures. Analytical relations for the first-and second-harmonic amplitudes are obtained. It is shown that the nonlinear interaction coefficients become maximum at points where the Bragg resonance conditions are fulfilled for all structure layers of the studied waveguide including the guiding layer. The appreciable enhancement of the nonlinear interaction within the forbidden band described in experimental paper [1] is explained.

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“…Taking into account the boundary conditions and using the Flocket theorem, we obtain the dispersion equation for a waveguide with periodic layered walls [14] …”

Section: Solution Of the Linear Problemmentioning

confidence: 99%

Section: Exciting the Second Harmonicmentioning

confidence: 99%

Nonlinear harmonic interaction in a waveguide with periodic layered walls

Bulgakov

Kostyleva

2006

Radiophys Quantum Electron

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“…A waveguide with layered-periodic walls for different relations between the dielectric permittivities of the central layer and the superlattice layers has been proposed [13]. A full-vectorial boundary integral equation method for computing guided modes of optical waveguides has been presented [14].…”

Section: Introductionmentioning

confidence: 99%

Periodic Rectangular and Circular Profiles in the Cross Section of the Straight Waveguide Based on Laplace and Fourier Transforms and Their Inverse Transforms and Applications

Menachem¹

2018

Emerging Waveguide Technology

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This chapter presents propagation along the straight rectangular waveguide with periodic rectangular and circular profiles in the cross section. The objectives in this study are to explore the effect of the periodic rectangular and circular profiles in the cross section of the straight waveguide on the output field and to develop the technique to calculate two kinds of the periodic profiles. The method is based on Laplace and Fourier transforms and the inverse Laplace and Fourier transforms. The contribution of the proposed technique is important to improve the method that is based on Laplace and Fourier transforms and their inverse transforms also for the discontinuous periodic rectangular and circular profiles in the cross section (and not only for the continuous profiles). The proposed technique is very effective to solve complex problems, in relation to the conventional methods, especially when we have a large numbers of dielectric profiles. The application is useful for straight waveguides in the microwave and the millimeter wave regimes, with periodic rectangular and circular profiles in the cross section of the straight waveguide.

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Influence of rectangular and periodic rectangular profiles in the cross section of the straight waveguide on the output field

Menachem

Tapuchi

2016

Journal of Electromagnetic Waves and Applications

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Electrodynamic properties of a waveguide with layered-periodic walls

Cited by 4 publications

References 5 publications

Nonlinear harmonic interaction in a waveguide with periodic layered walls

Nonlinear harmonic interaction in a waveguide with periodic layered walls

Periodic Rectangular and Circular Profiles in the Cross Section of the Straight Waveguide Based on Laplace and Fourier Transforms and Their Inverse Transforms and Applications

Influence of rectangular and periodic rectangular profiles in the cross section of the straight waveguide on the output field

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