Lattices of Dielectric Resonators

Трубин, А. А.

doi:10.1007/978-3-319-25148-6

Cited by 18 publications

(16 citation statements)

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“…In the special cases of the identical microresonators, the obtained formula (2, 3) coincides with previously known [19].…”

Section: Coupling Coefficient Calculatingsupporting

confidence: 86%

Coupling Coefficients of Different Spherical Dielectric Microresonators

Трубин

2018

Information and Telecommunication Sciences

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Background. Nowadays, further increase of processing and transmission speed of information is associated with the development of hybrid integrated circuits, combining electrical and optical components. One of the important constituent parts of future optical integrated circuits are filters that can be conveniently implemented using so-called disc microresonators with whispering gallery oscillations. Technically, the problem of manufacturing such filters in the infrared and even in the visible wavelength range has been solved, but calculation of parameters and tuning of multilink filters is impossible without further development of the theory of their building. The development of such a theory is based on the electrodynamic modeling of processes that occur in complex systems of coupled microcavities, coupled with transmission line. At present, the study of filters that built on different microresonators hasn't been carried out.Objective. The aim of the research is to construct the theory of electromagnetic wave scattering of the integral optical transmission lines on systems of coupled diversiform optical microresonators with whispering gallery modes, as well as development of mathematical models of filters constructed using various disk microresonators, and investigation of new structures of coupled microresonators with acceptable scattering characteristics.Methods. To construct a mathematical model of filters, an approximate solution of the Maxwell equations based on perturbation theory is used. The application of perturbation theory made it possible to find a solution to the problem of calculating the S-matrix of the filter in an analytical form.Results. An electrodynamic model for the scattering of optical transmission line waves by a system of coupled diversiform microresonators made of different dielectrics is developed. New structures of microresonators, realizing bandpass and bandstop filters, are investigated and their scattering characteristics are calculated.Conclusions. The theory of scattering of electromagnetic waves by systems of coupled diversiform optical microresonators is expanded. A new definition of the coupling coefficients of different microresonators is given. New filter models are constructed.

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“…In the special cases of the identical microresonators, the obtained formula (2, 3) coincides with previously known [19].…”

Section: Coupling Coefficient Calculatingsupporting

confidence: 86%

Coupling Coefficients of Different Spherical Dielectric Microresonators

Трубин

2018

Information and Telecommunication Sciences

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“…Also we neglected the small values of the imaginary parts of the mutual coupling coefficients in the open space. Occasionally the real and imaginary parts of the mutual coupling coefficients may have close values [9], which should be taken into account in more accurate modeling for specific forms of microresonators.…”

Section: Discussionmentioning

confidence: 99%

“…The purpose of this article is to apply the methods of electrodynamic modeling of scattering processes on systems of optical microresonators based on the representation of coupled oscillations of microresonator systems [9].…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…So 2 is a Through port; 3 is a Drop port; 4 is an Add port [1][2][3][4][5][6][7][8]. [4] and calculated by theory [9]: 21 S -red; 31 S -green curve.…”

Section: The Filters Electrodynamic Modelingmentioning

confidence: 99%

“…At first, we calculated the frequencies of the coupled oscillations of the microresonators, taking into account the topology of the connection between themselves and the transmission lines, as well as open space. Using a system of equations [9], we calculated the frequencies and amplitudes of coupled oscillations of partial microresonators. In this case, the coupling matrix of the microresonators for the filter shown in Fig.…”

Section: Calculating Parameters Of Add-drop Filtersmentioning

confidence: 99%

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Electrodynamic Modeling of Add-Drop Filters on Optical Microresonators

Трубин¹

2019

Information and Telecommunication Sciences

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Background. At the present time, further increase in the speed of processing and transmission of information is associated with the development of hybrid integrated circuits, combining electrical and optical components. One of the important constituent parts of future optical integrated circuits are filters that can be conveniently implemented using so-called disc microresonators with whispering gallery oscillations. Technically, the problem of manufacturing such filters in the infrared and even in the visible wavelength range has been solved, but calculation of parameters and tuning of multilink filters is impossible without further development of the theory of their building. The development of such a theory is based on the electrodynamic modeling of processes that occur in complex systems of coupled microcavities, coupled also with transmission line. At present, the study of filters built on different microresonators has not been carried out. Objective. The aim of the research is to construct the theory of scattering of electromagnetic waves of the integral optical transmission lines on systems of coupled different optical microresonators with whispering gallery modes. Development of mathematical models of filters constructed using various disk microresonators. Investigation of new structures of coupled microresonators with acceptable scattering characteristics. Methods. To construct a mathematical model of filters, an approximate solution of the Maxwell equations based on perturbation theory is used. The application of perturbation theory made it possible to find a solution to the problem of calculating the Smatrix of the filter in an analytical form. Results. An electrodynamic model for scattering of optical transmission line waves based on a system of coupled microresonators of different shapes and made of different dielectrics is developed. New structures of microresonators, realizing bandpass and bandstop filters, are investigated and their scattering characteristics are calculated. Conclusions. The theory of scattering of electromagnetic waves by systems of various coupled optical microresonators is expanded. A new definition of the coupling coefficients of different microresonators is given. New models of filters are constructed.

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Scattering of Electromagnetic Pulses on Systems of Coupled Dielectric Resonators

Trubin

2024

Springer Series in Advanced Microelectronics

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Lattices of Dielectric Resonators

Cited by 18 publications

References 0 publications

Coupling Coefficients of Different Spherical Dielectric Microresonators

Coupling Coefficients of Different Spherical Dielectric Microresonators

Electrodynamic Modeling of Add-Drop Filters on Optical Microresonators

Scattering of Electromagnetic Pulses on Systems of Coupled Dielectric Resonators

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