Structure of the Maxwell equations in the region of linear coupling of electromagnetic waves in weakly inhomogeneous anisotropic and gyrotropic media

2012 ◽  
Vol 55 (2) ◽  
pp. 147-160 ◽  
Author(s):  
Aleksandr G Shalashov ◽  
Egor D Gospodchikov
Keyword(s):  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Linear Coupling ◽  
Gyrotropic Media

Linear coupling of electromagnetic waves in inhomogeneous weakly-ionized media

1983 ◽  
Vol 141 (10) ◽  
pp. 257 ◽  
Author(s):  
V.V. Zheleznyakov ◽  
Vit V. Kocharovskii ◽  
Vlad V. Kocharovskii
Keyword(s):  
Electromagnetic Waves ◽  
Linear Coupling ◽  
Weakly Ionized

New Approach to the Theory of Circular Dichroism

1998 ◽  
Vol 63 (8) ◽  
pp. 1187-1201 ◽  
Author(s):  
Jaroslav Zamastil ◽  
Lubomír Skála ◽  
Petr Pančoška ◽  
Oldřich Bílek
Keyword(s):  
Electromagnetic Wave ◽  
Circular Dichroism ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Optically Active ◽  
Semiclassical Approach ◽  
New Approach ◽  
Isotropic Media ◽  
New Formula ◽  
Circular Dichroïsm

Using the semiclassical approach for the description of the propagation of the electromagnetic waves in optically active isotropic media we derive a new formula for the circular dichroism parameter. The theory is based on the idea of the time damped electromagnetic wave interacting with the molecules of the sample. In this theory, the Lambert-Beer law need not be taken as an empirical law, however, it follows naturally from the requirement that the electromagnetic wave obeys the Maxwell equations.

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.

Electromagnetic waves in isotropic and gyrotropic media

2008 ◽  
Vol 51 (3) ◽  
pp. 314-320
Author(s):  
Yu. G. Pavlenko ◽  
A. V. Seliverstov
Keyword(s):  
Electromagnetic Waves ◽  
Gyrotropic Media

scholarly journals Superlensing using complementary media and reflecting complementary media for electromagnetic waves

2018 ◽  
Vol 7 (4) ◽  
pp. 449-467 ◽  
Author(s):  
Hoai-Minh Nguyen
Keyword(s):  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Low Regularity ◽  
Existence And Stability

AbstractIn this paper, we present the proof of superlensing an arbitrary object using complementary media and we study reflecting complementary media for electromagnetic waves. The analysis is based on the reflecting technique and new results on the compactness, existence, and stability for the Maxwell equations with low regularity data.

scholarly journals Cloaking using complementary media for electromagnetic waves

2019 ◽  
Vol 25 ◽  
pp. 29 ◽  
Author(s):  
Hoai-Minh Nguyen
Keyword(s):  
Refractive Index ◽  
Elliptic Equations ◽  
Electromagnetic Waves ◽  
Scientific Community ◽  
Maxwell Equations ◽  
Frequency Range ◽  
Negative Index Materials ◽  
Three Sphere ◽  
Weakly Coupled ◽  
Second Order Elliptic Equations

Negative index materials are artificial structures whose refractive index has negative value over some frequency range. The study of these materials has attracted a lot of attention in the scientific community not only because of their many potential interesting applications but also because of challenges in understanding their intriguing properties due to the sign-changing coefficients in equations describing their properties. In this paper, we establish cloaking using complementary media for electromagnetic waves. This confirms and extends the suggestions of Lai et al. [Phys. Rev. Lett. 102 (2009) 093901] for the full Maxwell equations. The analysis is based on the reflecting and removing localized singularity techniques, three-sphere inequalities, and the fact that the Maxwell equations can be reduced to a weakly coupled second order elliptic equations.

ELECTROMAGNETIC RADIATION INDUCED BY A GRAVITATIONAL WAVE

1995 ◽  
Vol 04 (02) ◽  
pp. 207-213
Author(s):  
N.I. KOLOSNITSYN
Keyword(s):  
Gravitational Wave ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Three Dimensional ◽  
Geodesic Equation ◽  
Electromagnetic Signal ◽  
The Matrix ◽  
Radiation Induced ◽  
Isotropic Geodesic ◽  
Laser Interferometric

Conversion of a gravitational wave into an electromagnetic one in a laser coherent emission field is studied. As a result two electromagnetic waves are created. For calculation the Maxwell equations in three-dimensional vector form are used. Optimal detection of the gravitational wave is discussed. In a particular case it is the laser interferometric antenna. This approach is identical to those based on integration of the isotropic geodesic equation, the eikonal equation, giving the three-pulsing response of the electromagnetic signal obtained by Estabrook and Wahlquist. It also results in the matrix method developed by Vinet for calculation of laser interferometric antennae.

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