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We discuss the imaging properties of uniaxial epsilon-near-zero metamaterial slabs with possibly tilted optical axis, analyzing their sub-wavelength focusing properties as a function of the design parameters. We derive in closed analytical…

The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Robert Meiners Fuchs , Juanjuan Ren , Stephen Hughes , Marten Richter

The resonant interaction between x-ray photons and nuclei is one of the most exciting subjects of the burgeoning field of x-ray quantum optics. A resourceful platform used so far are thin-film x-ray cavities with embedded layers or…

Quantum Physics · Physics 2020-10-02 Xiangjin Kong , Darrick E. Chang , Adriana Pálffy

A computationally efficient Green's function approach is developed to evaluate the optical properties of nanostructures using a GW formalism applied on top of a tight-binding and mean-field Hubbard model. The use of the GW approximation…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 Antoine Honet , Luc Henrard , Vincent Meunier

The Green functions play a big role in the calculation of the local density of states of the carbon nanostructures. We investigate their nature for the variously oriented and disclinated graphene-like surface. Next, we investigate the case…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 J. Smotlacha , R. Pincak , M. Pudlak

A short introduction to the theory of matrix quasiclassical Green's functions is given and possible applications of this theory to transport properties of mesoscopic superconducting-normal metal (S/N) structures are considered. We discuss a…

Superconductivity · Physics 2009-10-30 A. F. Volkov , V. V. Pavlovskii

Recent experiments on mesoscopic normal-metal--superconductor heterostructures resolve properties on length scales and at low temperatures such that the temperature is below the Thouless energy $k_B T \le E_{Th}$. We describe the properties…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wolfgang Belzig , Frank K. Wilhelm , Christoph Bruder , Gerd Schön , Andrei D. Zaikin

We compile a list of 2-D and axisymmetric Green's functions for isotropic full and half spaces, to complement our letter "Linear elasticity of incompressible solids". We also extend the isotropic exactly incompressible linear theory from…

Soft Condensed Matter · Physics 2014-07-08 J. S. Biggins , Z. Wei , L. Mahadevan

A relativistic Green's function approach to inclusive quasielastic charged-current neutrino-nucleus scattering is developed. The components of the hadron tensor are written in terms of the single-particle Green's function, which is expanded…

Nuclear Theory · Physics 2009-11-10 Andrea Meucci , Carlotta Giusti , Franco Davide Pacati

Based on a formalism that describes atom-light interactions in terms of the classical electromagnetic Green's function, we study the optical response of atoms and other quantum emitters coupled to one-dimensional photonic structures, such…

Quantum Physics · Physics 2017-03-22 A. Asenjo-Garcia , J. D. Hood , D. E. Chang , H. J. Kimble

Dyadic Green's function is an important tool of computational photonics, giving deeper insights into light-matter interaction. We present an operator approach to the derivation of the dyadic Green's function of a generic anisotropic…

Optics · Physics 2026-05-13 Aliaksandr Arlouski , Lei Gao , Dongliang Gao , Andrey Novitsky

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

Excitonic contributions to absorption and photocurrent generation in semiconductor nanostructures are described theoretically and simulated numerically using steady-state non-equilibrium Green's function theory. In a first approach, the…

Mesoscale and Nanoscale Physics · Physics 2012-09-28 U. Aeberhard

We study the Neumann Green's function for second order parabolic systems in divergence form with time-dependent measurable coefficients in a cylindrical domain $\mathcal{Q}=\Omega\times (-\infty,\infty)$, where $\Omega\subset \mathbb{R}^n$…

Analysis of PDEs · Mathematics 2018-09-18 Jongkeun Choi , Seick Kim

We construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz continuous in the spatial variables and…

Analysis of PDEs · Mathematics 2014-09-25 Hongjie Dong , Seick Kim

We introduce a quantum dot orbital tight-binding non-equilibrium Green's function approach for the simulation of novel solar cell devices where both absorption and conduction are mediated by quantum dot states. By the use of basis states…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 U. Aeberhard

We apply the method of two-point quasiclassical Green's function to geometries where the trajectories include interfering paths and loops. For a system of two superconducting layers separated by partially transparent interface, corrections…

Superconductivity · Physics 2009-11-07 M. Ozana , A. Shelankov

We provide theory and formal insight on the Green function quantization method for absorptive and dispersive spatial-inhomogeneous media in the context of dielectric media. We show that a fundamental Green function identity, which appears,…

Mesoscale and Nanoscale Physics · Physics 2020-09-01 Sebastian Franke , Juanjuan Ren , Stephen Hughes , Marten Richter

We present an efficient implementation of a surface Green's-function method for atomistic modeling of surfaces within the framework of density functional theory using a pseudopotential localized basis set approach. In this method, the…

The main objective of the work is to provide sharp two-sided estimates of $\lambda$-Green function of hyperbolic Brownian motion of a half-space. We strongly rely on recent results obtained by K. Bogus and J. Malecki [3], regarding precise…

Probability · Mathematics 2015-02-05 Kamil Bogus , Tomasz Byczkowski , Jacek Malecki
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