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. 5, Issue 6, B39(2017)

Universal single-mode lasing in fully chaotic two-dimensional microcavity lasers under continuous-wave operation with large pumping power [Invited]

Takahisa Harayama1、*, Satoshi Sunada2, and Susumu Shinohara1
Author Affiliations
  • 1Department of Applied Physics, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
  • 2Faculty of Mechanical Engineering, Institute of Science and Engineering, Kanazawa University, Kakuma-machi, Kanazawa, Ishikawa 920-1192, Japan
    • show less
    Full TextGet PDF
    Figures&Tables (0)
    Equations (35)
    References (63)
    Cited By (10)
    Tools
    Paper Information
    Topics
    References(63)

    [1] H.-J. Stöckmann. Quantum Chaos: An Introduction(1999).

    [2] F. Haake. Quantum Signatures of Chaos(2000).

    [3] K. Nakamura, T. Harayama. Quantum Chaos and Quantum Dots(2004).

    [4] O. Bohigas, M. J. Giannoni, C. Schmit. Characterization of chaotic quantum spectra and universality of level fluctuation laws. Phys. Rev. Lett., 52, 1-4(1984).

    [5] G. Casati, F. Valz-Gris, I. Guarneri. On the connection between quantization of nonintegrable systems and statistical theory of spectra. Lett. Nuovo Cimento Soc. Ital. Fis., 28, 279-282(1980).

    [6] M. V. Berry. Quantizing a classically ergodic system: Sinai’s billiard and the KKR method. Ann. Phys. (N.Y.), 131, 163-216(1981).

    [7] M. V. Berry. Semiclassical theory of spectral rigidity. Proc. R. Soc. London Ser. A, 400, 229-251(1985).

    [8] M. Sieber. Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems. J. Phys. A, 35, L613-L619(2002).

    [9] S. Müller, S. Heusler, P. Braun, F. Haake, A. Altland. Periodic-orbit theory of universality in quantum chaos. Phys. Rev. Lett., 93, 014103(2004).

    [10] S. Heusler, S. Müller, A. Altland, P. Braun, F. Haake. Periodic-orbit theory of level correlations. Phys. Rev. Lett., 98, 044103(2007).

    [11] M. Sieber, K. Richter. Correlations between periodic orbits and their role in spectral statistics. Phys. Scr., T90, 128-133(2001).

    [12] R. A. Jalabert, H. U. Baranger, A. D. Stone. Conductance fluctuations in the ballistic regime: a probe of quantum chaos?. Phys. Rev. Lett., 65, 2442-2445(1990).

    [13] C. M. Marcus, A. J. Rimberg, R. M. Westervelt, P. F. Hopkins, A. C. Gossard. Conductance fluctuations and chaotic scattering in ballistic microstructures. Phys. Rev. Lett., 69, 506-509(1992).

    [14] J. U. Nöckel, A. D. Stone. Ray and wave chaos in asymmetric resonant optical cavities. Nature, 385, 45-47(1997).

    [15] C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, A. Y. Cho. High-power directional emission from microlasers with chaotic resonators. Science, 280, 1556-1564(1998).

    [16] S.-B. Lee, J.-H. Lee, J.-S. Chang, H.-J. Moon, S. W. Kim, K. An. Observation of scarred modes in asymmetrically deformed microcylinder lasers. Phys. Rev. Lett., 88, 033903(2002).

    [17] S.-Y. Lee, S. Rim, J. W. Ryu, T. Y. Kwon, M. Choi, C.-M. Kim. Quasiscarred resonances in a spiral-shaped microcavity. Phys. Rev. Lett., 93, 164102(2004).

    [18] H. G. L. Schwefel, N. B. Rex, H. E. Tureci, R. K. Chang, A. D. Stone, T. Ben-Messaoud, J. Zyss. Dramatic shape sensitivity of directional emission patterns from similarly deformed cylindrical polymer lasers. J. Opt. Soc. Am. B, 21, 923-934(2004).

    [19] V. A. Podolskiy, E. Narimanov, W. Fang, H. Cao. Chaotic microlasers based on dynamical localization. Proc. Natl. Acad. Sci. USA, 101, 10498-10500(2004).

    [20] J. Wiersig. Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities. Phys. Rev. Lett., 97, 253901(2006).

    [21] J. Wiersig, M. Hentschel. Combining directional light output and ultralow loss in deformed microdisks. Phys. Rev. Lett., 100, 033901(2008).

    [22] E. Bogomolny, R. Dubertrand, C. Schmit. Trace formula for dieletric cavities: I. General properties. Phys. Rev. E, 78, 056202(2008).

    [23] S. Shinohara, T. Harayama, T. Fukushima, M. Hentschel, T. Sasaki, E. E. Narimanov. Chaos-assisted directional light emission from microcavity lasers. Phys. Rev. Lett., 104, 163902(2010).

    [24] Q. Song, L. Ge, B. Redding, H. Cao. Channeling chaotic rays into waveguides for efficient collection of microcavity emission. Phys. Rev. Lett., 108, 243902(2012).

    [25] R. Sarma, L. Ge, J. Wiersig, H. Cao. Rotating optical microcavities with broken chiral symmetry. Phys. Rev. Lett., 114, 053903(2015).

    [26] H. Cao, J. Wiersig. Dielectric microcavities: model systems for wave chaos and non-Hermitian physics. Rev. Mod. Phys., 87, 61-111(2015).

    [27] T. Harayama, S. Shinohara. Two-dimensional microcavity lasers. Laser Photon. Rev., 5, 247-271(2011).

    [28] S. Sunada, T. Fukushima, S. Shinohara, T. Harayama, M. Adachi. Stable single-wavelength emission from fully chaotic microcavity lasers. Phys. Rev. A, 88, 013802(2013).

    [29] S. Sunada, S. Shinohara, T. Fukushima, T. Harayama. Signature of wave chaos in spectral characteristics of microcavity lasers. Phys. Rev. Lett., 116, 203903(2016).

    [30] M. Fisher. The renormalization group in the theory of critical behavior. Rev. Mod. Phys., 46, 597-616(1974).

    [31] T. Harayama, P. Davis, K. S. Ikeda. Stable oscillations of a spatially chaotic wave function in a microstadium laser. Phys. Rev. Lett., 90, 063901(2003).

    [32] T. Harayama, S. Sunada, K. S. Ikeda. Theory of two-dimensional microcavity lasers. Phys. Rev. A, 72, 013803(2005).

    [33] H. E. Türeci, A. D. Stone, B. Collier. Self-consistent multimode lasing theory for complex or random lasing media. Phys. Rev. A, 74, 043822(2006).

    [34] H. E. Türeci, A. D. Stone, L. Ge. Theory of the spatial structure of nonlinear lasing modes. Phys. Rev. A, 76, 013813(2007).

    [35] W. E. Lamb. Theory of an optical maser. Phys. Rev. A, 134, A1429-A1450(1964).

    [36] M. Sargent, M. O. Scully, W. E. Lamb. Laser Physics(1974).

    [37] M. Sargent. Theory of a multimode quasiequilibrium semiconductor laser. Phys. Rev. A, 48, 717-726(1993).

    [38] T. Harayama, T. Fukushima, S. Sunada, K. S. Ikeda. Asymmetric stationary lasing patterns in 2D symmetric microcavities. Phys. Rev. Lett., 91, 073903(2003).

    [39] H. E. Türeci, L. Ge, S. Rotter, A. D. Stone. Strong interactions in multimode random lasers. Science, 320, 643-646(2008).

    [40] L. Ge, R. J. Tandy, A. D. Stone, H. E. Türeci. Quantitative verification of ab initio self-consistent laser theory. Opt. Express, 16, 16895-16902(2008).

    [41] H. E. Türeci, A. D. Stone, L. Ge, S. Rotter, R. J. Tandy. Ab initio self-consistent laser theory and random lasers. Nonlinearity, 22, C1-C18(2009).

    [42] L. Ge, Y. D. Chong, A. D. Stone. Steady-state ab initio laser theory: generalizations and analytic results. Phys. Rev. A, 82, 063824(2010).

    [43] A. Cerjan, A. D. Stone. Steady-state ab initio theory of lasers with injected signals. Phys. Rev. A, 90, 013840(2014).

    [44] S. Esterhazy, D. Liu, M. Liertzer, A. Cerjan, L. Ge, K. G. Makris, A. D. Stone. Scalable numerical approach for the steady-state ab initio laser theory. Phys. Rev. A, 90, 023816(2014).

    [45] A. Pick, A. Cerjan, D. Liu, A. W. Rodriguez, A. D. Stone, Y. D. Chong, S. G. Johnson. Ab initio multimode linewidth theory for arbitrary inhomogeneous laser cavities. Phys. Rev. A, 91, 063806(2015).

    [46] A. I. Shnirelman. Ergodic properties of eigenfunctions. Usp. Mat. Nauk, 29, 181-182(1974).

    [47] Y. Colin de Verdie’re. Ergodicité et fonctions propres du laplacien. Commun. Math. Phys., 102, 497-502(1985).

    [48] S. Zelditch. Uniform distribution of eigenfunctions on compact hyperbolic surfaces. Duke Math. J., 55, 919-941(1987).

    [49] B. Helffer, A. Martinez, D. Robert. Ergodicité et limite semiclassique. Commun. Math. Phys., 109, 313-326(1987).

    [50] S. Zelditch, M. Zworski. Ergodicity of eigenfunctions for ergodic billiards. Commun. Math. Phys., 175, 673-682(1996).

    [51] A. Bäcker, R. Schubert, P. Stifter. Rate of quantum ergodicity in Euclidean billiards. Phys. Rev. E, 57, 5425-5447(1998).

    [52] H. Schomerus, J. Tworzydlo. Quantum-to-classical crossover of quasibound states in open quantum systems. Phys. Rev. Lett., 93, 154102(2004).

    [53] S. Nonnenmacher, M. Zworski. Fractal Weyl laws in discrete models of chaotic scattering. J. Phys. A, 38, 10683-10702(2005).

    [54] J. P. Keating, M. Novaes, S. D. Prado, M. Sieber. Semiclassical structure of chaotic resonance eigenfunctions. Phys. Rev. Lett., 97, 150406(2006).

    [55] D. L. Shepelyansky. Fractal Weyl law for quantum fractal eigenstates. Phys. Rev. E, 77, 015202(2008).

    [56] M. Novaes. Resonances in open quantum maps. J. Phys. A, 46, 143001(2013).

    [57] T. Harayama, S. Shinohara. Ray-wave correspondence in chaotic dielectric billiards. Phys. Rev. E, 92, 042916(2015).

    [58] E. G. Altmann. Emission from dielectric cavities in terms of invariant sets of the chaotic ray dynamics. Phys. Rev. A, 79, 013830(2009).

    [59] B. Redding, A. Cerjan, X. Huang, M. L. Lee, A. D. Stone, M. A. Choma, H. Cao. Low-spatial coherence electrically-pumped semiconductor laser for speckle-free full-field imaging. Proc. Natl. Acad. Sci. USA, 112, 1304-1309(2015).

    [60] M. Choi, S. Shinohara, T. Harayama. Dependence of far-field characteristics on the number of lasing modes in stadium-shaped InGaAsP microlasers. Opt. Express, 16, 17544-17559(2008).

    [61] A. Cerjan, B. Redding, L. Ge, S. F. Liew, H. Cao, A. D. Stone. Controlling mode competition by tailoring the spatial pump distribution in a laser: a resonance-based approach. Opt. Express, 24, 26006-26015(2016).

    [62] S. Sunada, T. Harayama, K. S. Ikeda. Multimode lasing in fully chaotic cavity lasers. Phys. Rev. E, 71, 046209(2005).

    [63] H. Fu, H. Haken. Multifrequency operation in a short-cavity standing-wave laser. Phys. Rev. A, 43, 2446-2454(1991).

    CLP Journals

    [1] Li Ge, Liang Feng, Harald G. L. Schwefel, "Optical microcavities: new understandings and developments," Photonics Res. 5, OM1 (2017)

    [2] Yating Wan, Daisuke Inoue, Daehwan Jung, Justin C. Norman, Chen Shang, Arthur C. Gossard, John E. Bowers, "Directly modulated quantum dot lasers on silicon with a milliampere threshold and high temperature stability," Photonics Res. 6, 776 (2018)

    Tools

    Get Citation

    Copy Citation Text

    Takahisa Harayama, Satoshi Sunada, Susumu Shinohara, "Universal single-mode lasing in fully chaotic two-dimensional microcavity lasers under continuous-wave operation with large pumping power [Invited]," Photonics Res. 5, B39 (2017)

    Download Citation

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

    Category: OPTICAL MICROCAVITIES

    Received: Aug. 2, 2017

    Accepted: Oct. 18, 2017

    Published Online: Dec. 7, 2017

    The Author Email: Takahisa Harayama (harayama@waseda.jp)

    DOI:10.1364/PRJ.5.000B39

    Topics

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