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

Journals >Photonics Research >Volume 6 >Issue 5 >Page A38 > Article

Photonics Research
Vol. 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

show less

DOI: 10.1364/PRJ.6.000A38 Cite this Article Set citation alerts

Ziyao Feng, Jingwen Ma, Zejie Yu, Xiankai Sun. Circular Bragg lasers with radial PT symmetry: Design and analysis with a coupled-mode approach[J]. Photonics Research, 2018, 6(5): A38 Copy Citation Text

show less

References

[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).

Figures&Tables (3)

References (28)

Copy Citation Text

Ziyao Feng, Jingwen Ma, Zejie Yu, Xiankai Sun. Circular Bragg lasers with radial PT symmetry: Design and analysis with a coupled-mode approach[J]. Photonics Research, 2018, 6(5): A38

Download Citation

Set citation alerts for the article

Set citation alerts for the article

Save the article for my favorites

Paper Information

Recommended Topics

laser devices and laser physics

Lasers and Laser Optics

laser manufacturing

Instrumentation, Measurement and Metrology

Set citation alerts for the article

Please enter your email address