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Repeated passing principle for propagation in optical resonators

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Abstract

In this paper we make comparison between a well-known theoretical model of light propagation through racetrack resonator and experimentally obtained results. Observed differences are studied and some original modifications are made in the existing model so as to achieve better alignment with experiment. The influence of several geometric parameters on racetrack’s response is used for further adjustments to be performed. This procedure opens up the possibility to estimate the free spectral range and resonant wavelength for different geometric parameters and consequently to predict resonator functionality and working conditions, as well as functionality of complex photonic devices based on resonant structures.

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References

  1. Yariv, A.: Coupled-mode theory for guided-wave optics. J. Quantum Electron. Q.E.9(9), 919–933 (1973)

  2. Yariv, A.: Critical coupling and its control in optical waveguide-ring resonator systems. Photonics Technol. Lett. 14(4), 483–485 (2002)

    Article  ADS  Google Scholar 

  3. Huang, W.P.: Coupled-mode theory for optical waveguides: an overview. J. Opt. Soc. Am. A 11(3), 963–983 (1994)

    Article  ADS  Google Scholar 

  4. Lui, W.W., Hirono, T., Yokoyama, K., Huang, W.P.: Polarization rotation in semiconductor bending waveguides: a coupled mode theory formulation. J. Lightwave Technol. 16(5), 929–936 (1998)

    Article  ADS  Google Scholar 

  5. Lui, W.W., Xu, C.-L., Hirono, T., Yokoyama, K., Huang, W.P.: Full-vectorial wave propagation in semiconductor optical bending waveguides and equivalent straight waveguide approximations. J. Lightwave Technol. 16(5), 910–914 (1998)

    Article  ADS  Google Scholar 

  6. Lifante, G.: Integrated Photonics: Fundamentals. Wiley, New York (2003)

  7. Meloni, A., Morichetti, F., Martinelli, M.: Polarization conversion in ring resonator phase shifters. Opt. Lett. 29(23), 2785–2787 (2004)

    Article  ADS  Google Scholar 

  8. Cusmai, G., Morichetti, F., Rosotti, P., Costa, R., Melloni, A.: Circuit-oriented modelling of ring resonators. Opt. Quantum Electron. 37, 343–358 (2005)

    Article  Google Scholar 

  9. Morichetti, F., Melloni, A., Martinelli, M.: Effects of polarization rotation in optical ring-resonator-based devices. J. Lightwave Technol. 24(1), 573–585 (2006)

    Article  ADS  Google Scholar 

  10. Milošević, M., Matavulj, P., Timotijević, B., Reed, G., Mashanovich, G.: Design rules for single-mode and polarization-independent silicon-on-insulator rib waveguides using stress engineering. J. Lightwave Technol. 26(13), 1840–1846 (2008)

    Article  ADS  Google Scholar 

  11. Headley, W.R., Reed, G.T., Paniccia, M., Liu, A., Howe, S.: Polarisation-independent optical racetrack resonators using rib waveguides in silicon-on-insulator. Appl. Phys. Lett. 85(23), 5523–5525 (2004)

    Article  ADS  Google Scholar 

  12. Haus, H.A., Popović, M., Watts, M.R., Manolatou, C., Little, B.E., Chu, S.T.: Optical resonators and filters, in optical microcavities. In: Vahala, K. (ed.) Adv. Series in Appl. Phys., vol. 5. World Scientific, Singapore (2004)

  13. Timotijevic, B.: Auto-regressive optical filters in silicon-on-insulator waveguides. Ph.D. thesis, Univ. Surrey, UK (2007)

  14. Keča, T., Matavulj, P., Headley, W., Mashanovich, G.: Modelling of silicon racetrack resonator. In: 3rd Mediterranean Conference on Nanophotonics, Belgrade (2010)

  15. Keča, T., Matavulj, P., Headley, W., Mashanovich, G.: Free spectral range adjustment of a silicon rib racetrack resonator. Phys. Scr. T149, 014031–014034 (2012)

    Article  ADS  Google Scholar 

  16. Headley, W.R.: Optical ring resonators in silicon-on-insulator. Ph.D. thesis, Univ. Surrey, UK (2005)

  17. Little, B.E., Huang, W.P.: Coupled-mode theory for optical waveguides. Prog. Electromagn. Res. PIER 10, 217–270 (1995)

    Google Scholar 

  18. Matavulj, P., Keča, T.: Influence of geometric parameters on the SOI racetrack resonator properties. In: Progress in Electromagnetics Research Symposium Proceedings (PIERS’12), Moscow, pp. 13–17 (2012). (ISBN: 978-1-934142-22-6)

  19. Samarelli, A.: Micro ring resonators in silicon-on-insulator. Ph.D. thesis, Univ. of Glasgow, UK (2011)

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Acknowledgments

This work was supported by the Serbian Ministry of Education, Science and Technological Development under Contract No. 171011.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Belgrade, Room 87, Bulevar kralja Aleksandra 73, P.O. Box 35-54, Belgrade, 11120, Serbia

    Tatjana P. Keča & Petar S. Matavulj

  2. ICT College of Vocational Studies, Zdravka Čelara 16, Belgrade, 11060, Serbia

    Tatjana P. Keča

  3. Centre for Communications Systems Research, University of Surrey, Room 45 BA 01, Guildford, GU2 7XH, UK

    William R. Headley

  4. Optoelectronics Research Centre, University of Southampton, Highfield, Southampton, Hampshire, SO17 1BJ, UK

    Goran Z. Mashanovich

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  1. Tatjana P. Keča
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  2. William R. Headley
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  3. Goran Z. Mashanovich
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  4. Petar S. Matavulj
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Correspondence to Tatjana P. Keča.

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Keča, T.P., Headley, W.R., Mashanovich, G.Z. et al. Repeated passing principle for propagation in optical resonators. Opt Rev 23, 254–259 (2016). https://doi.org/10.1007/s10043-016-0195-9

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  • DOI: https://doi.org/10.1007/s10043-016-0195-9

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