Researching | Circular Bragg lasers with radial PT symmetry: Design and analysis with a coupled-mode approach

Photonics Research, Volume. 6, Issue 5, A38(2018)

Circular Bragg lasers with radial PT symmetry: Design and analysis with a coupled-mode approach

Ziyao Feng, Jingwen Ma, Zejie Yu, and Xiankai Sun^*

Author Affiliations

Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

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References(28)

[1] K. J. Vahala. Optical microcavities. Nature, 424, 839-846(2003).

[2] T. Erdogan, D. G. Hall. Circularly symmetric distributed feedback semiconductor laser: an analysis. J. Appl. Phys., 68, 1435-1444(1990).

[3] T. Erdogan, D. G. Hall. Circularly symmetric distributed feedback laser: coupled mode treatment of TE vector fields. IEEE J. Quantum Electron., 28, 612-623(1992).

[4] C. Wu, T. Makino, S. I. Najafi, R. Maciejko, M. Svilans, J. Glinski, M. Fallahi. Threshold gain and threshold current analysis of circular grating DFB and DBR lasers. IEEE J. Quantum Electron., 29, 2596-2606(1993).

[5] X. M. Gong, A. K. Chan, H. F. Taylor. Lateral mode discrimination in surface emitting DBR lasers with cylindrical symmetry. IEEE J. Quantum Electron., 30, 1212-1218(1994).

[6] A. Shaw, B. Roycroft, J. Hegarty, D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Stanley, R. Houdré, U. Oesterle. Lasing properties of disk microcavity based on a circular Bragg reflector. Appl. Phys. Lett., 75, 3051-3053(1999).

[7] J. Scheuer. Radial Bragg lasers: optimal design for minimal threshold levels and enhanced mode discrimination. J. Opt. Soc. Am. B, 24, 2178-2184(2007).

[8] J. Scheuer, A. Yariv. Coupled-waves approach to the design and analysis of Bragg and photonic crystal annular resonators. IEEE J. Quantum Electron., 39, 1555-1562(2003).

[9] X. K. Sun, A. Yariv. Modal properties and modal control in vertically emitting annular Bragg lasers. Opt. Express, 15, 17323-17333(2007).

[10] X. K. Sun, A. Yariv. Surface-emitting circular DFB, disk-, and ring-Bragg resonator lasers with chirped gratings. II: nonuniform pumping and far-field patterns. Opt. Express, 17, 1-6(2009).

[11] C. M. Bender, S. Boettcher. Real spectra in non-Hermitian Hamiltonians having PT symmetry. Phys. Rev. Lett., 80, 5243-5246(1998).

[12] A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, D. N. Christodoulides. Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett., 103, 093902(2009).

[13] K. G. Makris, R. El-Ganainy, D. N. Christodoulides, Z. H. Musslimani. Beam dynamics in PT symmetric optical lattices. Phys. Rev. Lett., 100, 103904(2008).

[14] C. E. Ruter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, D. Kip. Observation of parity-time symmetry in optics. Nat. Phys., 6, 192-195(2010).

[15] L. Feng, Z. J. Wong, R.-M. Ma, Y. Wang, X. Zhang. Single-mode laser by parity-time symmetry breaking. Science, 346, 972-975(2014).

[16] J. H. Gu, X. Xi, J. W. Ma, Z. J. Yu, X. K. Sun. Parity-time-symmetric circular Bragg lasers: a proposal and analysis. Sci. Rep., 6, 37688(2016).

[17] Y. Zhu, Y. Zhao, J. Fan, L. Zhu. Modal gain analysis of parity-time-symmetric distributed feedback lasers. IEEE J. Sel. Top. Quantum Electron., 22, 5-11(2016).

[18] H. Hodaei, M.-A. Miri, M. Heinrich, D. N. Christodoulides, M. Khajavikhan. Parity-time-symmetric microring lasers. Science, 346, 975-978(2014).

[19] M. Kulishov, B. Kress, R. Slavík. Resonant cavities based on Parity-Time-symmetric diffractive gratings. Opt. Express, 21, 9473-9483(2013).

[20] H. Hodaei, A. U. Hassan, W. E. Hayenga, M. A. Miri, D. N. Christodoulides, M. Khajavikhan. Dark-state lasers: mode management using exceptional points. Opt. Lett., 41, 3049-3052(2016).

[21] K.-H. Kim, M.-S. Hwang, H.-R. Kim, J.-H. Choi, Y.-S. No, H.-G. Park. Direct observation of exceptional points in coupled photonic-crystal lasers with asymmetric optical gains. Nat. Commun., 7, 13893(2016).

[22] M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H. E. Türeci, G. Strasser, K. Unterrainer, S. Rotter. Reversing the pump dependence of a laser at an exceptional point. Nat. Commun., 5, 4034(2014).

[23] M. Liertzer, L. Ge, A. Cerjan, A. D. Stone, H. E. Türeci, S. Rotter. Pump-induced exceptional points in lasers. Phys. Rev. Lett., 108, 173901(2012).

[24] P. Miao, Z. Zhang, J. Sun, W. Walasik, S. Longhi, N. M. Litchinitser, L. Feng. Orbital angular momentum microlaser. Science, 353, 464-467(2016).

[25] M. Kulishov, J. M. Laniel, N. Bélanger, J. Azaña, D. V. Plant. Nonreciprocal waveguide Bragg gratings. Opt. Express, 13, 3068-3078(2005).

[26] Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, D. N. Christodoulides. Unidirectional invisibility induced by PT-symmetric periodic structures. Phys. Rev. Lett., 106, 213901(2011).

[27] M. Fujita, T. Baba. Proposal and finite-difference time-domain simulation of whispering gallery mode microgear cavity. IEEE J. Quantum Electron., 37, 1253-1258(2001).

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Ziyao Feng, Jingwen Ma, Zejie Yu, Xiankai Sun, "Circular Bragg lasers with radial PT symmetry: Design and analysis with a coupled-mode approach," Photonics Res. 6, A38 (2018)

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Paper Information

Special Issue: NON-HERMITIAN PHOTONICS IN COMPLEX MEDIA: PT-SYMMETRY AND BEYOND

Received: Nov. 3, 2017

Accepted: Mar. 14, 2018

Published Online: Apr. 11, 2019

The Author Email: Xiankai Sun (xksun@cuhk.edu.hk)

DOI:10.1364/PRJ.6.000A38

Topics

laser devices and laser physics

Lasers and Laser Optics

laser manufacturing

Instrumentation, Measurement and Metrology