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A formula for the laser linewidth of arbitrary cavities in the multimode non-linear regime is derived from a scattering analysis of the solutions to semiclassical laser theory. The theory generalizes previous treatments of the effects of…

Optics · Physics 2012-09-28 Y. D. Chong , A. Douglas Stone

The mean-field theory for lossy nonlinear composites, described by complex and field-dependent dielectric functions, is presented. By using the spectral representation of linear composites with identical microstructure, we develop…

Soft Condensed Matter · Physics 2007-05-23 K. W. Yu

We numerically performed wave dynamical simulations based on the Maxwell-Bloch (MB) model for a quadrupole-deformed microcavity laser with spatially selective pumping. We demonstrate the appearance of an asymmetric lasing mode whose spatial…

We describe a powerful and intuitive technique for modeling light-matter interactions in classical and quantum nanoplasmonics. Our approach uses a quasinormal mode expansion of the Green function within a metal nanoresonator of arbitrary…

Quantum Physics · Physics 2015-06-18 Rong-Chun Ge , Philip Trost Kristensen , Jeff. F. Young , Stephen Hughes

In this article we derive the average and the variance of the cross-correlation of a noise wavefield. The noise cross-correlation function (NCF) is widely used to passively estimate the Green's function between two probes and is…

Disordered Systems and Neural Networks · Physics 2015-06-17 Julien de Rosny , Matthieu Davy

We report on the theoretical investigation of the plasmonic wave propagation in the coaxial cylindrical cables fabricated of both right-handed medium (RHM) [with $\epsilon >0$, $\mu >0$] and left-handed medium (LHM) [with $\epsilon(\omega)…

Materials Science · Physics 2015-06-16 M. S. Kushwaha , B. Djafari-Rouhani

Within the non-equilibrium Green's function technique on the real time contour, the Phi-functional method of Baym is reviewed and generalized to arbitrary non-equilibrium many-particle systems. The scheme may be closed at any desired order…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu. B. Ivanov , J. Knoll , D. N. Voskresensky

Metamaterial homogenization theories usually start with crude approximations that are valid in certain limits in zero order, such as small frequencies, wave vectors and material fill fractions. In some cases they remain surprisingly robust…

Optics · Physics 2022-01-25 Antonio Günzler , Cedric Schumacher , Matthias Saba

We present an \emph{ab-initio} semi-analytical solution for the noise spectrum of complex-cavity micro-structured lasers, including central Lorentzian peaks at the multimode lasing frequencies and additional sidepeaks due to…

Optics · Physics 2019-03-12 Adi Pick , Alexander Cerjan , Steven G Johnson

The spectral decomposition of the elastic wave operator in a layered isotropic half-space is derived by means of standard functional analytic methods. Particular attention is paid to the coupled $P$-$SV$ waves. The problem is formulated…

Geophysics · Physics 2010-11-17 Ludovic Margerin

The theory of Self-Consistent Green's Function (SCGF) is reformulated in an explicit Nambu-covariant fashion for applications to many-body systems at non-zero temperature in symmetry-broken phases. This is achieved by extending the…

Nuclear Theory · Physics 2025-07-09 M. Drissi , A. Rios , C. Barbieri

A rate equation model describing the laser dynamics of general one or two dimensional vertical cavity surface emitting laser (vcsel) arrays is introduced. It is shown that the theory includes both the previous theory for edge emitting…

Optics · Physics 2009-10-30 Holger F. Hofmann , Ortwin Hess

The problem of substructure characteristic modes is developed using a scattering matrix-based formulation, generalizing subregion characteristic mode decomposition to arbitrary computational tools. It is shown that the modes of the…

Computational Engineering, Finance, and Science · Computer Science 2025-03-13 Mats Gustafsson , Lukas Jelinek , Miloslav Capek , Johan Lundgren , Kurt Schab

The relativistic mean field theory with the Green's function method is taken to study the single-particle resonant states. Different from our previous work [Phys.Rev.C 90,054321(2014)], the resonant states are identified by searching for…

Nuclear Theory · Physics 2020-08-26 Cheng Chen , Zhi Pan Li , Yu Xiao Li , Ting-Ting Sun

The asymptotic completeness of a set of the eigenmodes of an open system with increasing number of modes enables an accurate calculation of the system response in terms of these modes. Using the exact eigenmodes, such completeness is…

Optics · Physics 2025-03-26 Zoltan Sztranyovszky , Wolfgang Langbein , Egor Muljarov

A model to simulate the phenomenon of random lasing is presented. It couples Maxwell's equations with the rate equations of electronic population in a disordered system. Finite difference time domain methods are used to obtain the field…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xunya Jiang , C. M. Soukoulis

We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Kiryl Piasotski , Mikhail Pletyukhov , Alexander Shnirman

We simulate the transition from amplified spontaneous emission (ASE) to lasing in random systems with varying degrees of mode overlap. This is accomplished by solving the stochastic Maxwell-Bloch equations with the finite-difference…

Optics · Physics 2010-12-30 Jonathan Andreasen , Hui Cao

The linear response description for impurity diffusion in a granular fluid undergoing homogeneous cooling is developed in the preceeding paper. The formally exact Einstein and Green-Kubo expressions for the self-diffusion coefficient are…

Soft Condensed Matter · Physics 2009-11-07 James Lutsko , J. Javier Brey , James W. Dufty

We consider the one-dimensional diffusion of a particle on a semi-infinite line and in a piecewise linear random potential. We first present a new formalism which yields an analytical expression for the Green function of the Fokker-Planck…

Disordered Systems and Neural Networks · Physics 2015-06-25 Petr Chvosta , Noelle Pottier