Phase stability theory of Bloch eigenstates in active photonic lattices with coupled microlaser arrays

Riyopoulos, S.
December 2005
European Physical Journal D -- Atoms, Molecules, Clusters & Opti;Dec2005, Vol. 36 Issue 3, p295
Academic Journal
An generic model for the lattice dynamics of coupled microlaser arrays is employed for the lattice stability analysis. Nonlinear cross-cavity gain-coupling effects, characterizing active lattices, are included via the gain dependence on carrier depletion and cross-cavity hole burning. Passive near neighbor interactions (inter-cavity absorption and mirror reflection interference) are also included. The introduction of lattice-orthogonal modes simplifies the derivation of the coupled rate equations. The interaction phase among sites exhibits spontaneous long range “crystallization" into periodic Bloch states whereby the cavity radiation envelopes behave as laser “macro-atoms". The sign of the coupling coefficients as a function of geometry determines in- vs. out-of-phase locking and has practical implications for array design. Emphasis is placed on the stability analysis of Bloch states by including earlier omitted [1] effects of phase perturbations. The importance of the linewidth factor ι is uncovered: unconditional stability results for ι ≤1, otherwise a stability threshold exists for the coupling strength among sites. Choice of low ι gain material permits phase stability with high coupling strength, beneficial in overcoming manufacturing variations among array cavity parameters.


Related Articles

  • One-to-many laser fanout generated by single large-size two-dimensional holographic photonic crystal. Shou Liu; Xiangsu Zhang; Xiaoyun Chen; Ying Liu; Xuechang Ren // Applied Physics Letters;12/12/2005, Vol. 87 Issue 24, p241111 

    The phenomenon of one-to-many laser fanout in large-size two-dimensional (2D) holographic photonic crystals (H-PhCs) is presented. Theoretical analysis demonstrates that the phenomenon is induced by multiple substrate waveguiding effect of 2D H-PhCs, and the orientations of the waveguided beams...

  • Generation of high-resolution kagome lattice structures using extreme ultraviolet interference lithography. Wang, Li; Terhalle, Bernd; Guzenko, Vitaliy A.; Farhan, Alan; Hojeij, Mohamad; Ekinci, Yasin // Applied Physics Letters;8/27/2012, Vol. 101 Issue 9, p093104 

    High-resolution kagome lattice structures with feature sizes down to the sub-50 nm regime are fabricated using diffraction-based extreme ultraviolet interference lithography. The resulting interference pattern of multiple beams is sensitive to the relative phase of the interfering beams. The...

  • Enlargement of omnidirectional bandgap region by using a one-dimensional quarternary plasma photonic crystal. Upadhyay, Maitreyi; Awasthi, S. K.; Srivastava, S. K.; Ojha, S. P. // AIP Conference Proceedings;Jun2013, Vol. 1536 Issue 1, p749 

    We demonstrate by theoretical analysis a novel way to enhance the omnidirectional total reflection frequency range of a one-dimensional plasma photonic crystal by using a quarternary periodic structure (i.e. four layers constituting a period of the lattice). The omnidirectional total reflection...

  • Tunable multilayer EUV/soft x-ray polarimeter. Kortright, J.B.; Rice, M.; Franck, K.D. // Review of Scientific Instruments;Feb1995, Vol. 66 Issue 2, p1567 

    Describes a tunable polarimeter using multilayer interference coatings as both reflection polarizer and transmission phase retarder. Fundamental elements of the polarimeter; Angular resolution tolerances of the device; Advantages offered by multilayer interference structures; Sensitivity of...

  • Icosahedral quasicrystals by optical interference holography. Tam, Wing Yim // Applied Physics Letters;12/18/2006, Vol. 89 Issue 25, p251111 

    Optical interference holography has been proven to be a useful technique in fabricating periodic photonic crystals in which electromagnetic waves are forbidden in certain frequency band gaps. Compared to periodic crystals, quasicrystals, having higher point group symmetry, are more favorable in...

  • Testing the relative deformation of the lattice parameter of semiinsulating GaAs using reflected radiation. Bilenko, D.; Belobrovaya, O.; Lyubivyi, V.; Terin, D. // Russian Journal of Nondestructive Testing;Aug2004, Vol. 40 Issue 8, p565 

    A noncontact method for the express-testing of the relative deformation of lattice parameter (?a/a) of semiinsulating GaAs has been developed. This method is based on measuring the reflected radiation in band-to-band regions L- Land X- X. The suggested method ensures a resolution of 4 �...

  • Optical reflection from the Bragg lattice of AsSb metal nanoinclusions in an AlGaAs matrix. Ushanov, V.; Chaldyshev, V.; Preobrazhenskii, V.; Putyato, M.; Semyagin, B. // Semiconductors;Aug2013, Vol. 47 Issue 8, p1046 

    The optical properties of metal-semiconductor metamaterials based on an AlGaAs matrix are studied. The specific feature of these materials is that there are As and AsSb nanoinclusion arrays which modify the dielectric properties of the material. These nanoinclusions are randomly arranged in the...

  • Diamond-Structured Photonic Crystals with Graded Air Spheres Radii. Qingxuan Liang; Dichen Li; Haoxue Han // Materials (1996-1944);May2012, Vol. 5 Issue 5, p851 

    A diamond-structured photonic crystal (PC) with graded air spheres radii was fabricated successfully by stereolithography (SL) and gel-casting process. The graded radii in photonic crystal were formed by uniting different radii in photonic crystals with a uniform radius together along the...

  • Photonic-band-gap structures and guide modes in two-dimensional magnetic photonic crystal heterostructures. Yun-Song Zhou; Ben-Yuan Gu; Fu-He Wang // European Physical Journal B -- Condensed Matter;Feb2004, Vol. 37 Issue 3, p293 

    We first investigate the band gap structures of two-dimensional magnetic photonic crystals (MPC) composed of rectangular (square) magnetic cylinders embedded in a host dielectric material in the rectangular (square) lattice, and we then study guide modes at interface of MPC heterostructures...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics