Plane wave spectrum representation of electromagnetic waves

2011 ◽  
pp. 63-118 ◽  
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Wave Spectrum

Electromagnetic waves

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Plane Waves ◽  
Geometrical Optics ◽  
Particle Detection ◽  
Spatial Coordinates ◽  
A Charge

This chapter examines solutions to the Maxwell equations in a vacuum: monochromatic plane waves and their polarizations, plane waves, and the motion of a charge in the field of a wave (which is the principle upon which particle detection is based). A plane wave is a solution of the vacuum Maxwell equations which depends on only one of the Cartesian spatial coordinates. The monochromatic plane waves form a basis (in the sense of distributions, because they are not square-integrable) in which any solution of the vacuum Maxwell equations can be expanded. The chapter concludes by giving the conditions for the geometrical optics limit. It also establishes the connection between electromagnetic waves and the kinematic description of light discussed in Book 1.

SOME UNPOLARIZED GOWDY COSMOLOGIES AND NONCOLINEAR COLLIDING PLANE WAVE SPACETIMES

1998 ◽  
Vol 07 (02) ◽  
pp. 237-247 ◽  
Author(s):  
J. B. GRIFFITHS ◽  
G. A. ALEKSEEV
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Linear Equations ◽  
Ernst Equation ◽  
Complex Solutions

A method for obtaining a class of complex solutions of the Ernst equation is described which is based on a set of linear equations. This method is applied to generate families of unpolarized vacuum and electrovac G2 cosmologies and nondiagonal solutions describing colliding plane gravitational and gravito-electromagnetic waves.

Plane Wave Spectrum of 2D Complex Beams

2009 ◽  
Vol 23 (8-9) ◽  
pp. 1123-1131 ◽  
Author(s):  
R. Mahillo-Isla ◽  
M. J. González-Morales ◽  
C. Dehesa-Martínez
Keyword(s):  
Plane Wave ◽  
Wave Spectrum

Plane-wave propagation in media with electromagnetic anisotropy

2021 ◽  
Author(s):  
David Romero-Abad ◽  
Jose Pedro Reyes Portales ◽  
Roberto Suárez-Córdova
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Wave Equations ◽  
Refraction Index ◽  
Pedagogical Approach ◽  
Undergraduate Level ◽  
Quartic Equation ◽  
Principal Axes ◽  
The Subject ◽  
Magnetic Tensors

Abstract The propagation of electromagnetic waves in a medium with electrical and magnetic anisotropy is a subject that is not usually handled in conventional optics and electromagnetism books. During this work, we try to give a pedagogical approach to the subject, using tools that are accessible to an average physics student. In this article, we obtain the Fresnel relation in a media with electromagnetic anisotropy, which corresponds to a quartic equation in the refraction index, assuming only that the principal axes of the electric and magnetic tensors coincide. Additionally, we find the geometric location related to the different situations the discriminant of the quartic equation provides. In order to illustrate our findings, we determine the refractive index together with the plane wave equations for certain values of the parameters that meet the established conditions. The target readers of the paper are students pursuing physics at the intermediate undergraduate level.

An EM Imaging Method Based on Plane-Wave Spectrum and Transmission Line Model

2020 ◽  
Vol 68 (10) ◽  
pp. 4161-4168
Author(s):  
Jia-Chen Zhang ◽  
Xingchang Wei ◽  
Li Ding ◽  
Xian-Ke Gao ◽  
Zi-Xiang Xu
Keyword(s):  
Plane Wave ◽  
Transmission Line ◽  
Wave Spectrum ◽  
Imaging Method ◽  
Transmission Line Model ◽  
Line Model

scholarly journals The plane-wave spectrum from the worldsheet

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Lorenz Eberhardt ◽  
Kevin Ferreira
Keyword(s):  
Plane Wave ◽  
Wave Spectrum

PHOTONIC GAPS IN PERIODIC DIELECTRIC STRUCTURES

1992 ◽  
Vol 06 (03) ◽  
pp. 139-144 ◽  
Author(s):  
C.T. CHAN ◽  
K.M. HO ◽  
C.M. SOUKOULIS
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Expansion Method ◽  
Dielectric Materials ◽  
Band Gaps ◽  
Plane Wave Expansion ◽  
Photonic Band Gaps ◽  
Plane Wave Expansion Method ◽  
Dielectric Structures ◽  
Photonic Band

Using a plane wave expansion method, we solved the Maxwell’s equations for the propagation of electromagnetic waves inside periodic dielectric materials, and found the existence of photonic band gaps in several classes of periodic dielectric structures.

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