DOI: https://doi.org/10.20535/2411-2976.12019.30-36

ELECTRODYNAMIC MODELING OF ADD-DROP FILTERS ON OPTICAL MICRORESONATORS

Alexander Trubin

Abstract


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.


Keywords


infrared range; integrated optics; optical filter; bandstop filter; bandpass filter; microresonator.

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References


Little B.E., Chu S.T., Haus H.A., Foresi J., Laine J.-P.. Microring Resonator Chanel Dropping Filters // Jornal of Lightwave Techn. 1997/ Vol. 15, No. 6. PP. 998-1005.

Little B.E., Chu S.T., Pan W., Ripin D., Kaneko T., Kokubun Y., Ippen E.. Vertically Coupled Glass Microring Resonator Channel Dropping Filters // IEEE Photonics Techn. Letters. 1999/ Vol. 11, No 2. PP. 215-217.

Manolatou C., Khan M.J., Fan S., Villeneuve P.R., Haus H.A., Joannopoulos J.D.. Coupling of Modes Analysis of Resonant Chanel Add-Drop Filters // IEEE Jornal of Quantum Electronics. 1999/ Vol. 35, No. 9. PP. 1322-1331.

Haus H.A., Popovic M.A., Watts M.R. and Manolatou C., Little B.E., Chu S.T.. Optical Resonators and filters. Optical Microcavities. Edited By: Kerry Vahala (California Institute of Technology, USA) Ch.00, 2004. 516 p.

Xiao S., Khan M.H.. Silicon-on-Insulator Microring Add-Drop Filters With Free Spectral Ranges Over 30 nm // Jornal of Lightwave Techn. 2008 / Vol. 26, No. 2. PP. 228-236.

Xu Q., Soref R. Reconfigurable optical directed-logic

circuits using microresonator-based optical switches // Optics Express. 2011 / Vol. 19. No. 9. PP. 5244-5259.

Chen G., Chen L., Ding W., Sun F., Feng R.. Polarization

Rotators in Add-Drop Filter Systems With Double-Ring Resonators // IEEE Photonics Techn. Letters. 2014 /Vol. 26, No. 10. PP. 976-979.

Abujah N.A., Letizia R., Alwafie F., Obayya S.. Time Domain Modeling of Optical Add-drop filter based on Microcavity Ring Resonators // IOSR Jornal of Electronics and Communication Engineering (IOSR-JECE). 2015/ Vol. 10, Is. 6, Ver. 2. PP. 77-87.

Trubin A.A. Lattices of Dielectric Resonators, Springer International Publishing Switzerland. Series in Advanced Microelectronics 53, 2016. 159 p.