Parity–time-symmetric circular Bragg lasers: a proposal and analysis

We propose a new type of semiconductor lasers by implementing the concept of parity–time symmetry in a two-dimensional circular Bragg grating structure, where both the real and imaginary parts of the refractive index are modulated along the radial direction. The laser modal properties are analyzed with a transfer-matrix method and are verified with numerical simulation of a practical design. Compared with conventional distributed-feedback lasers with modulation of only the real part of refractive index, the parity–time-symmetric circular Bragg lasers feature reduced threshold and enhanced modal discrimination, which in combination with the intrinsic circularly symmetric, large emission aperture are clear advantages in applications that require mode-hop-free, high-power, single-mode laser operation.

[1]  A. Yariv,et al.  InGaAsP annular Bragg lasers: theory, applications, and modal properties , 2005, IEEE Journal of Selected Topics in Quantum Electronics.

[2]  Shanhui Fan,et al.  Parity–time-symmetric whispering-gallery microcavities , 2013, Nature Physics.

[3]  Mohammad-Ali Miri,et al.  Large area single-mode parity-time-symmetric laser amplifiers. , 2012, Optics letters.

[4]  Henri Benisty,et al.  High-finesse disk microcavity based on a circular Bragg reflector , 1998 .

[5]  Distributed feedback GaSb based laser diodes with buried grating , 2014 .

[6]  Li Ge,et al.  Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures , 2011, 1112.5167.

[7]  J. Scheuer,et al.  Optimal Design and Reduced Threshold in Vertically Emitting Circular Bragg Disk Resonator Lasers , 2007, IEEE Journal of Selected Topics in Quantum Electronics.

[8]  Y. Wang,et al.  Single-mode laser by parity-time symmetry breaking , 2014, Science.

[9]  D. Christodoulides,et al.  Parity-time–symmetric microring lasers , 2014, Science.

[10]  C. Bender,et al.  Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry , 1997, physics/9712001.

[11]  Jacob Scheuer,et al.  Vertically emitting annular Bragg lasers using polymer epitaxial transfer , 2004 .

[12]  H. Yilmaz,et al.  Loss-induced suppression and revival of lasing , 2014, Science.

[13]  Jacob Scheuer,et al.  Annular Bragg defect mode resonators , 2003, SPIE LASE.

[14]  A. Yariv,et al.  Modal properties and modal control in vertically emitting annular Bragg lasers. , 2007, Optics express.

[15]  Z. Musslimani,et al.  Beam dynamics in PT symmetric optical lattices. , 2008, Physical review letters.

[16]  Sailing He,et al.  Parity-Time Symmetry Breaking in Coupled Nanobeam Cavities , 2015, Scientific Reports.

[17]  Hui Cao,et al.  Unidirectional invisibility induced by PT-symmetric periodic structures. , 2011, Physical review letters.

[18]  S. Xiao,et al.  The combination of directional outputs and single-mode operation in circular microdisk with broken PT symmetry. , 2015, Optics express.

[19]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[20]  A. Forchel,et al.  1.55 μm single mode lasers with complex coupled distributed feedback gratings fabricated by focused ion beam implantation , 1999 .

[21]  R. Morandotti,et al.  Observation of PT-symmetry breaking in complex optical potentials. , 2009, Physical review letters.

[22]  Matthias Heinrich,et al.  Single mode lasing in transversely multi-moded PT-symmetric microring resonators , 2016 .

[23]  Dmitri V Talapin,et al.  Low-threshold stimulated emission using colloidal quantum wells. , 2013, Nano letters.

[24]  Amnon Yariv,et al.  Surface-emitting circular DFB, disk- and ring- Bragg resonator lasers with chirped gratings: a unified theory and comparative study. , 2008, Optics express.

[25]  M. Gather,et al.  Advances in small lasers , 2014, Nature Photonics.

[26]  G. Strasser,et al.  Reversing the pump dependence of a laser at an exceptional point , 2014, Nature Communications.