Journals Articles Conferences News About CLP
Submit a paper Email Alert
Search
Search
Articles
Journals
News
Advanced Search
Top Searches
2D MaterialsTransformation opticsQuantum PhotonicsSmall lasersSemiconductor UV PhotonicsSupersymmetric microring laser arrays

Photonics Research, Volume. 7, Issue 11, 1240(2019)

Bosonic discrete supersymmetry for quasi-two-dimensional optical arrays

Q. Zhong1,2, S. Nelson1,2, M. Khajavikhan3, D. N. Christodoulides3, and R. El-Ganainy1,2、*
Author Affiliations
  • 1Department of Physics, Michigan Technological University, Houghton, Michigan 49931, USA
  • 2Henes Center for Quantum Phenomena, Michigan Technological University, Houghton, Michigan 49931, USA
  • 3College of Optics & Photonics-CREOL, University of Central Florida, Orlando, Florida 32816, USA
    • show less
    Full TextGet PDF
    Figures&Tables (4)
    Equations (8)
    References (27)
    Cited By (7)
    Tools
    Paper Information
    Topics
    References(27)

    [1] P. Ramond. Dual theory for free fermions. Phys. Rev. D, 3, 2415-2418(1971).

    [2] A. Neveu, J. H. Schwarz. Factorizable dual model of pions. Nucl. Phys. B, 31, 86-112(1971).

    [3] E. Witten. Dynamical breaking of supersymmetry. Nucl. Phys. B, 188, 513-554(1981).

    [4] F. Cooper, B. Freedman. Aspects of supersymmetric quantum mechanics. Ann. Phys., 146, 262-288(1983).

    [5] A. Lahiri, P. K. Roy, B. Bagchi. Supersymmetry in quantum mechanics. Int. J. Mod. Phys. A, 05, 1383-1456(1990).

    [6] F. Cooper, A. Khare, U. Sukhatme. Supersymmetry and quantum mechanics. Phys. Rep., 251, 267-385(1995).

    [7] R. El-Ganainy, K. G. Makris, D. N. Christodoulides. Local PT invariance and supersymmetric parametric oscillators. Phys. Rev. A, 86, 033813(2012).

    [8] M.-A. Miri, M. Heinrich, R. El-Ganainy, D. N. Christodoulides. Supersymmetric optical structures. Phys. Rev. Lett., 110, 233902(2013).

    [9] M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, D. N. Christodoulides. Supersymmetric mode converters. Nat. Commun., 5, 3698(2014).

    [10] M.-A. Miri, M. Heinrich, D. N. Christodoulides. SUSY-inspired one-dimensional transformation optics. Optica, 1, 89-95(2014).

    [11] S. Longhi. Supersymmetric transparent optical intersections. Opt. Lett., 40, 463-466(2015).

    [12] S. Longhi. Supersymmetric Bragg gratings. J. Opt., 17, 045803(2015).

    [13] W. Walasik, B. Midya, L. Feng, N. M. Litchinitser. Supersymmetry-guided method for mode selection and optimization in coupled systems. Opt. Lett., 43, 3758-3761(2018).

    [14] M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, A. Szameit. Observation of supersymmetric scattering in photonic lattices. Opt. Lett., 39, 6130-6133(2014).

    [15] R. El-Ganainy, L. Ge, M. Khajavikhan, D. N. Christodoulides. Supersymmetric laser arrays. Phys. Rev. A, 92, 033818(2015).

    [16] M. H. Teimourpour, L. Ge, D. N. Christodoulides, R. El-Ganainy. Non-Hermitian engineering of single mode two dimensional laser arrays. Sci. Rep., 6, 33253(2016).

    [17] M. P. Hokmabadi, N. S. Nye, R. El-Ganainy, D. N. Christodoulides, M. Khajavikhan. Supersymmetric laser arrays. Science, 363, 623-626(2019).

    [18] B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, L. Feng. Supersymmetric microring laser arrays. Photon. Res., 7, 363-367(2019).

    [19] G. Strang. Introduction to Linear Algebra(2016).

    [20] S. Yu, X. Piao, J. Hong, N. Park. Interdimensional optical isospectrality inspired by graph networks. Optica, 3, 836-839(2016).

    [21] M. H. Teimourpour, R. El-Ganainy, A. Eisfeld, A. Szameit, D. N. Christodoulides. Light transport in PT-invariant photonic structures with hidden symmetries. Phys. Rev. A, 90, 053817(2014).

    [22] M. H. Teimourpour, Q. Zhong, M. Khajavikhan, R. El-Ganainy. Higher Order Exceptional Points in Discrete Photonics Platforms, 261-275(2018).

    [23] W. C. Schieve, L. P. Horwitz. Quantum Statistical Mechanics(2009).

    [24] L. Shah, A. Y. Arai, S. M. Eaton, P. R. Herman. Waveguide writing in fused silica with a femtosecond fiber laser at 522 nm and 1 MHz repetition rate. Opt. Express, 13, 1999-2006(2005).

    [25] A. Szameit, J. Burghoff, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer. Two-dimensional soliton in cubic fs laser written waveguide arrays in fused silica. Opt. Express, 14, 6055-6062(2006).

    [26] T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, A. Szameit. Laser written circuits for quantum photonics. Laser Photon. Rev., 9, 363-384(2015).

    [27] A. J. Kollár, M. Fitzpatrick, A. A. Houck. Hyperbolic lattices in circuit quantum electrodynamics. Nature, 571, 45-50(2019).

    Tools

    Get Citation

    Copy Citation Text

    Q. Zhong, S. Nelson, M. Khajavikhan, D. N. Christodoulides, R. El-Ganainy, "Bosonic discrete supersymmetry for quasi-two-dimensional optical arrays," Photonics Res. 7, 1240 (2019)

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Set citation alerts for article
    Save article for my favorites
    Paper Information

    Category: Physical Optics

    Received: Apr. 1, 2019

    Accepted: Sep. 3, 2019

    Published Online: Oct. 22, 2019

    The Author Email: R. El-Ganainy (ganainy@mtu.edu)

    DOI:10.1364/PRJ.7.001240

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology