Modes, electromagnetic transverse magnetic

Surface plasmon-polaritons (SPP), also referred as to surface plasma waves, are special modes of electromagnetic field which can exist at the interface between a dielectric and a metal that behaves like a nearly-iree electron plasma. A surface plasmon is a transverse-magnetic mode (magnetic vector is perpendicular to the direction of propagation of the wave and parallel to the plane of interface) and is characterized by its propagation constant and field distribution. The propagation constant, P can be expressed as follows ... 

In a rectangular cavity, electromagnetic waves are classified as transverse electric (TE) or transverse magnetic (TM) modes. AU the field combinations can be obtained by the superposition of TE and TM modes. TE modes are defined as the waves that have no electric field component in a defined propagation direction. In this discussion, the propagation direction is assumed to be the f-direction. Similarly, TM modes have no magnetic field component in the f - direction. By assuming a cavity with dimensions, a X b X d in the x-,y-, and z-directions, respectively, the frequencies at which nontrivial solutions of the Helmholtz Equation occur are... 

TM (transversal magnetic) mode Electromagnetic field distribution in which magnetic field vector lies in the plane perpendicular to the propagation direction. 

Radiation from a plasma consists mainly of Bremsstrahlung, emitted as a continuum by deceleration of electrons in collision, synchrotron radiation caused by rotation in a magnetic field and atomic emission radiation, better known as line spectra associated with transition between electronic energy levels. The equilibrium between all modes of radiation in a large plasma causes the emission of black-body radiation. The interaction between plasma particles and electromagnetic fields causes internal wave motion of both longitudinal and transverse types. 

The Gaussian mode is a specific case of the more generalized Hermite-Gaussian (HG) modes these are also referred to as transverse electromagnetic (TEM) modes. The TEM modes carry indices / and m, namely TEM/ where / is the number of intensity minima in the direction of the electric field oscillation, and m is the number of minima in the direction of the magnetic field oscillation (basically, the formula describing the TEMqo mode distribution (Equation (3.4)) is modified by multiplication with so-called Hermite polynomials Him x,y, 2 L). 

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