Coupling coefficients of different disk microresonators with whispering gallery modes
DOI:
https://doi.org/10.20535/RADAP.2017.68.19-26Keywords:
microresonator, coupling coefficient, whispering gallery mode, S-matrix, filterAbstract
The coupling coefficients of the disk microresonators consisting of different dielectrics are presented. The analytical expressions for the coupling coefficients are obtained. The basic regularities of the coupling coefficient changing on the structure parameter variations are considered. The coupling coefficients as functions of main structure parameters are studied. The calculation results of the transmission coefficients as well as the reflection coefficients of the bandpass filters building up on different disk microresonators with different modes are presented. The S-matrix frequency dependences of the bandpass filters on different disk microresonators in the infrared wavelength range are calculated. The necessary for acceptable measure of the scattering dielectric Q-factor values are determined. The amplitude-frequency characteristics of the bandpass filters on the vertically coupled as well as laterally coupled disc microresonators are investigated. Most optimal configurations of coupled microresonators allowing to achieve the best scattering characteristics are determined. It's shown that using of microresonators with whispering gallery modes relatively easy allows to obtain frequency-symmetrical characteristics of the filters.References
Popović M. A., Manolatou C. and Watts M. R. (20016) Coupling-induced resonance frequency shifts in coupled dielectric multi-cavity filters. Optics express, Vol. 14, No. 3, pp. 1208-1222. DOI: 10.1364/OE.14.001208
Benson T.M., Boriskina S.V., Sewell P., Vukovic A., Greedy S.C. and Nosich A.I. (2006) Micro-Optical Resonators for Microlasers and Integrated Optoelectronics. In: Janz S., Ctyroky J., Tanev S. (eds) Frontiers in Planar Lightwave Circuit Technology. NATO Science Series II: Mathematics, Physics and Chemistry, Vol 216. Springer, Dordrecht. DOI: 10.1007/1-4020-4167-5_02
Khalil H., Bila S., Aubourg M., Baillargeat D., Verdeyme S., Puech J., Lapierre L., Delage C. and Chartier T. (2009) Topology Optimization of Microwave Filters Including Dielectric Resonators. Microwave Conference. EuMC 2009. European, pp. 687-690.
Smotrova E. I., Nosich A. I., Benson T. M. and Sewell P. (2006) Optical Coupling of Whispering-Gallery Modes of Two Identical Microdisks and Its Effect on Photonic Molecule Lasing. IEEE Journal of Selected Topics in Quantum Electronics, Vol. 12, Iss. 1, pp. 78-85. DOI: 10.1109/JSTQE.2005.862940
Boriskina S.V. (2007) Coupling of whispering-gallery modes in size mismatched microdisk photonic molecules. Optics Letters, Vol 32, No. 11, pp. 1557-1559. DOI: 10.1364/OL.32.001557
Jun-Jie Li, Jia-Xian Wang and Yong-Zhen Huang (2007) Mode coupling between first- and second-order whispering-gallery modes in coupled microdisks. Optics Letters, Vol. 32, No. 11. pp. 1563-1565. DOI: 10.1364/OL.32.001563
Preu S., Schwefel H. G. L., Malzer S., Dohler G. H., Wang L. J., Hanson M., Zimmerman J. D. and Gossard A. C. (2008) Coupled whispering gallery mode resonators in the Terahertz frequency range. Optics Express, Vol. 16, No. 10, pp. 7336-7343. DOI: 10.1364/OE.16.007336
Trubin A. A. (2016) Lattices of Dielectric Resonators, Vol 53, Springer International Publishing, 159 p. DOI : 10.1007/978-3-319-25148-6
Trubin, A. A. (2015) Coupling coefficients of the disk dielectric microresonators with whispering gallery modes. Visn. NTUU KPI, Ser. Radioteh. radioaparatobuduv., no. 61, pp. 60-71.
Abramowitz M. and Stegun I. (1964) Handbook of mathematical functions with Formulas, Graphs and Mathematical Tables Applied Mathematics Series No. 55. National bureau of standards.
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