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Lasing modes of a microdisk with a ring gain area and of an active microring

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Abstract

Microcavity lasers shaped as thin circular disks are famous for the ultra-low thresholds of their whispering-gallery modes. We considered a two-dimensional model of such a laser in free space with a ring-like active region and compared the characteristics of its modes with the modes of an active microring, i.e. a similar disk with a concentric hole. The comparison showed that a microring has considerable rarefaction effect in terms of emission thresholds, accompanied by the blue-shift of emission spectra. If the ring becomes narrower than a half-wavelength in material, then all lasing modes obtain catastrophically high thresholds.

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References

  • Chang, S.-W.: Confinement factors and modal volumes of micro- and nanocavities invariant to integration regions. IEEE J. Sel. Top. Quantum Electron. 18(6), 1771–1780 (2012)

    Article  ADS  Google Scholar 

  • Dettmann, C.P., Morozov, G.V., Siebe, M., Waalkens, H.: Internal and external resonances of dielectric disks. Europhys. Lett. 87, 34003–34006 (2009)

    Article  ADS  Google Scholar 

  • Dubertrand, S.R., Bogomolny, E., Djellali, N., Lebental, M., Schmit, C.: Circular dielectric cavity and its deformations. Phys. Rev. A 77(1), 013804 (2008)

    Article  ADS  Google Scholar 

  • Gagnon, D., Dumont, J., Déziel, J., Dubé, L.J.: Ab initio investigation of lasing thresholds in photonic molecules. J. Opt. Soc. Am. B 31(8), 1867–1873 (2014)

    Article  ADS  Google Scholar 

  • Harayama, T., Shinohara, S.: Two-dimensional microcavity lasers. Laser Photonics Rev. 5(2), 247–281 (2011)

    Article  Google Scholar 

  • He, L., Ozdemir, S.K., Yang, L.: Whispering gallery microcavity lasers. Laser Photonics Rev. 7(1), 60–82 (2013)

    Article  Google Scholar 

  • Horvath, Z.G.: Beyond the beam: a history of multidimensional lasers. Opt. Photonics News 23(7), 36–41 (2012)

    Article  Google Scholar 

  • Huang, Y.-Z., Chen, Q., Guo, W.-H., Lu, Q.-Y., Yu, L.-J.: Mode characteristics for equilateral triangle optical resonators. IEEE J. Sel. Top. Quantum Electron. 12(1), 59–65 (2006)

    Article  Google Scholar 

  • Krauss, T., Laybourn, P., Roberts, J.: CW operation of semiconductor ring lasers. Electron. Lett. 26(25), 2095–2097 (1990)

    Article  ADS  Google Scholar 

  • McCall, S.L., Levi, A.F.J., Slusher, R.E., Pearton, S.J., Logan, R.A.: Whispering-gallery mode microdisk lasers. Appl. Phys. Lett. 60(3), 289–291 (1992)

    Article  ADS  Google Scholar 

  • Mock, A.: First principles derivation of microcavity semiconductor laser threshold condition and its application to FDTD active cavity modeling. J. Opt. Soc. Am. B 27(11), 2262–2272 (2010)

    Article  ADS  Google Scholar 

  • Nojima, S.: Theoretical analysis of feedback mechanisms of two-dimensional finite-sized photonic-crystal lasers. J. Appl. Phys. 98(4), 043102–043109 (2005)

    Article  ADS  Google Scholar 

  • Nosich, A.I., Smotrova, E.I., Boriskina, S.V., Benson, T.M., Sewell, P.: Trends in microdisk laser research and linear optical modeling. Opt. Quantum Electron. 39(15), 1253–1272 (2007)

    Article  Google Scholar 

  • Schlehahn, A., Albert, F., Schneider, C., Höfling, S., Reitzenstein, S., Wiersig, J., Kamp, M.: Mode selection in electrically driven quantum dot microring cavities. Opt. Express 21(13), 15951–15958 (2013)

    Article  ADS  Google Scholar 

  • Schwefel, H.G.L., Tureci, H.E., Stone, A.D., Chang, R.K.: Progress in asymmetric resonant cavities: using shape as a design parameter in dielectric microcavity lasers. In: Vahala, K. (ed.) Optical Microcavities, pp. 415–496. World Scientific, Singapore (2004)

    Chapter  Google Scholar 

  • Smotrova, E.I., Nosich, A.I., Benson, T.M., Sewell, P.: Cold-cavity thresholds of microdisks with uniform and non-uniform gain: quasi-3D modeling with accurate 2D analysis. IEEE J. Sel. Top. Quantum Electron. 11, 1135–1142 (2005)

    Article  Google Scholar 

  • Smotrova, E.I., Benson, T.M., Sewell, P., Ctyroky, J., Nosich, A.I.: Lasing frequencies and thresholds of the dipole-type supermodes in an active microdisk concentrically coupled with a passive microring. J. Opt. Soc. Am. A 25(11), 2884–2892 (2008)

    Article  ADS  Google Scholar 

  • Smotrova, E.I., Byelobrov, V.O., Benson, T.M., Ctyroky, J., Sauleau, R., Nosich, A.I.: Optical theorem helps understand thresholds of lasing in microcavities with active regions. IEEE J. Quantum Electron. 47(1), 20–30 (2011)

    Article  ADS  Google Scholar 

  • Smotrova, E.I., Tsvirkun, V., Gozhyk, I., Lafargue, C., Ulysse, C., Lebental, M., Nosich, A.I.: Spectra, thresholds and modal fields of a kite-shaped microcavity laser. J. Opt. Soc. Am. B 40(6), 1732–1742 (2013)

    Article  ADS  Google Scholar 

  • Wang, Q.J., Yan, C., Yu, N., Unterhinninghofen, J., Wiersig, J., Pflugl, C., Diehl, L., Edamura, T., Yamanishi, M., Kan, H., Capasso, F.: Whispering-gallery mode resonators for highly unidirectional laser action. Proc. Nat. Acad. Sci. 107(52), 22407–22412 (2010)

    Article  ADS  Google Scholar 

  • Zhang, Y., Zhang, X., Li, K.H., Cheung, Y.F., Feng, C., Choi, H.W.: Advances in III-nitride semiconductor microdisk lasers. Phys. Status Solidi A 212(5), 960–973 (2015)

    Article  Google Scholar 

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Correspondence to Anna S. Zolotukhina.

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Zolotukhina, A.S., Spiridonov, A.O., Karchevskii, E.M. et al. Lasing modes of a microdisk with a ring gain area and of an active microring. Opt Quant Electron 47, 3883–3891 (2015). https://doi.org/10.1007/s11082-015-0240-0

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  • DOI: https://doi.org/10.1007/s11082-015-0240-0

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