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This introduction to Green's functions is based on their role as kernels of differential equations. The procedures to construct solutions to a differential equation with an external source or with an inhomogeneity term are put together to…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 Ursula Schröter

A problem of diffraction of a symmetrical transverse magnetic mode $ \text{TM}_{0l} $ by an open-ended cylindrical waveguide corrugated inside is considered. A depth and a period of corrugations are supposed to be much less than the…

Accelerator Physics · Physics 2021-04-28 Sergey N. Galyamin , Aleksandra A. Grigoreva

Modern trends in beam-driven radiation sources involve interaction of Cherenkov wakefields with open-ended circular waveguide structures having complicated dielectric lining, with a three-layer dielectric capillary recently offered for…

Accelerator Physics · Physics 2022-05-10 Sergey N. Galyamin

This work contains a systematic treatment of single particle Synchrotron Radiation and some application to realistic beams with given cross section area, divergence and energy spread. Standard theory relies on several approximations whose…

Accelerator Physics · Physics 2016-09-08 Gianluca Geloni , Evgeni Saldin , Evgeni Schneidmiller , Mikhail Yurkov

We revisit the problem of the electromagnetic Green function for homogeneous hyperbolic media, where longitudinal and transverse components of the dielectric permittivity tensor have different signs. We analyze the dipole emission patterns…

Partially coherent electromagnetic sources with cylindrical symmetry and infinite extent radiating outwards are introduced. Their 3x3 cross-spectral density matrix is given through expansions of the field components in terms of basis…

The resonance Cherenkov radiation generated from a train of equally-spaced unidimensional electron bunches travelling along the axis of a hollow channel inside an infinite cylindrical waveguide filled with (weakly dispersing) transparent…

Accelerator Physics · Physics 2012-03-27 L. Sh. Grigoryan , S. R. Arzumanyan , H. F. Khachatryan , M. L. Grigoryan

We derive expressions for the electromagnetic Green's function for a layered system using a transfer matrix technique. The expressions we arrive at makes it possible to study symmetry properties of the Green's function, such as reciprocity…

Mesoscale and Nanoscale Physics · Physics 2011-05-09 Peter Johansson

The study of metallic corrugated surfaces has recently received strong attention due to their ability to mimic the behaviour of surface plasmons. In this work, this plasmon-like behaviour is employed to design an open cylindrical waveguide.…

Electromagnetic processes associated with a charged particle moving in a strong circular magnetic field is considered in cylindrical coordinates. We investigate the relation between the vacuum curvature emission and Cherenkov emission and…

Astrophysics · Physics 2009-10-30 Maxim Lyutikov , George Machabeli , Roger Blandford

We develop an analytic formalism to describe dipole radiation near the Dirac cone of a two-dimensional photonic crystal slab. In contrast to earlier work, we account for all polarization effects and derive a closed-form expression for the…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Janos Perczel , Mikhail D. Lukin

The magnetic focusing of electrons has proven its utility in fundamental studies of electron transport. Here we report the direct imaging of magnetic focusing of electron waves, specifically in a two-dimensional electron gas (2DEG). We see…

Mesoscale and Nanoscale Physics · Physics 2007-08-08 K. E. Aidala , R. E. Parrott , T. Kramer , E. J. Heller , R. M. Westervelt , M. P. Hanson , A. C. Gossard

Electromagnetic (EM) wave scattering by many parallel infinite cylinders is studied asymptotically as a tends to 0, where a is the radius of the cylinders. It is assumed that the centres of the cylinders are distributed so that their…

Computational Physics · Physics 2015-06-05 A. G. Ramm , M. I. Andriychuk

The dyadic Green's function of the inhomogeneous vector Helmholtz equation describes the field pattern of a single frequency point source. It appears in the mathematical description of many areas of electromagnetism and optics including…

Optics · Physics 2015-12-23 J. A. Crosse , Sebastian Fuchs , Stefan Yoshi Buhmann

We analyze the electromagnetic field of a bunch that moves uniformly in a circular metal waveguide and crosses a boundary between a vacuum area and an area filled with an anisotropic dispersive nonmagnetic medium. The medium is…

Accelerator Physics · Physics 2021-02-03 T. Yu. Alekhina , A. V. Tyukhtin

We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem and prove the existence of a solution for the case of small…

Analysis of PDEs · Mathematics 2009-11-13 Giulio Ciraolo , Rolando Magnanini

A first principles approach, based on the real space multiple scattering Green's function method, is presented for spin- and angle-resolved resonant photoemission from magnetic surfaces. It is applied to the Fe(010) valence band…

Strongly Correlated Electrons · Physics 2015-06-17 Fabiana Da Pieve , Peter Krueger

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

Optics · Physics 2007-05-23 B. Guizal , D. Felbacq

A simple integral representation is derived for the quasiclassical Green function of the Dirac equation in an arbitrary spherically-symmetric decreasing external field. The consideration is based on the use of the quasiclassical radial wave…

High Energy Physics - Theory · Physics 2009-10-28 R. N. Lee , A. I. Milstein

The determination of ultra-long-range molecular potential curves has been reformulated using the Coulomb Greens function to give a solution in terms of the roots of an analytical determinantal equation. For a system consisting of one…

Atomic Physics · Physics 2025-11-25 Chris H. Greene , Matthew T. Eiles