scholarly journals Dispersion of electromagnetic waves in linear, homogeneous, and isotropic media

2020 ◽  
Author(s):  
Masud Mansuripur
Keyword(s):  
Electromagnetic Waves ◽  
Isotropic Media

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.

scholarly journals Oblique propagation of electromagnetic waves in a slowly-varying non-isotropic medium

1936 ◽  
Vol 155 (885) ◽  
pp. 235-257 ◽  
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Electron Density ◽  
Isotropic Medium ◽  
Electromagnetic Waves ◽  
Mathematical Theory ◽  
Stratified Medium ◽  
Oblique Propagation ◽  
Isotropic Media ◽  
Mathematical Justification

The influence of the earth’s magnetic field on the propagation of wireless waves in the ionosphere has stimulated interest in the problem of the propagation of electromagnetic waves through a non-isotropic medium which is stratified in planes. Although the differential equations of such a medium have been elegantly deduced by Hartree,f it appears that no solution of them has yet been published for a medium which is both non-isotropic and non-homogeneous. Thus the work of Gans and Hartree dealt only with a stratified isotropic medium, while in the mathematical theory of crystal-optics the non-isotropic medium is always assumed to be homogeneous. In the same way Appleton’s magneto-ionic theory of propagation in an ionized medium under the influence of a magnetic field is confined to consideration of the “ characteristic ”waves which can be propagated through a homogeneous medium without change of form. In applying to stratified non-isotropic media these investigations concerning homogeneous non-isotropic media difficulty arises from the fact that the polarizations of the characteristic waves in general vary with the constitution of the medium, and it is not at all obvious that there exist waves which are propagated independently through the stratified medium and which are approximately characteristic at each stratum. The existence of such waves has usually been taken for granted, although for the ionosphere doubt has been cast upon this assumption by Appleton and Naismith, who suggest that we might “ expect the components ( i. e ., characteristic waves) to be continually splitting and resplitting”, even if the increase of electron density “ takes place slowly with increase of height”. It is clear that, until the existence of independently propagated approximately characteristic waves has been established, at any rate for a slowly-varying non-isotropic medium, no mathematical justification exists for applying Appleton's magnetoionic theory to the ionosphere. It is with the provision of this justification that we are primarily concerned in the present paper. This problem has been previously considered by Försterling and Lassen,f but we feel that their work does not carry conviction because they did not base their calculations on the differential equations for a non-homo-geneous medium, and were apparently unable to deal with the general case in which the characteristic polarizations vary with the constitution of the medium.

Exact solutions for vertically polarized electromaǵnetic waves in a horizontally stratified maǵneto-plasma

1970 ◽  
Vol 67 (2) ◽  
pp. 491-501 ◽  
Author(s):  
B. S. Westcott
Keyword(s):  
Magnetic Field ◽  
Refractive Index ◽  
Wave Propagation ◽  
Exact Solutions ◽  
Radio Wave ◽  
Static Magnetic Field ◽  
Electromagnetic Waves ◽  
Anisotropic Media ◽  
Radio Wave Propagation ◽  
Isotropic Media

AbstractIn a previous paper (11) refractive index profiles capable of yielding exact solutions for vertically polarized electromagnetic waves propagating in horizontally stratified isotropic media were derived systematically. The present work extends the method to deal with anisotropic media in which propagation is transverse to a horizontally applied static magnetic field. The relevance to ELF radio wave propagation in the terrestrial ionosphere is noted.

Surface electromagnetic waves with damping. I. Isotropic media

1976 ◽  
Vol 14 (4) ◽  
pp. 1458-1464 ◽  
Author(s):  
G. S. Kovener ◽  
R. W. Alexander ◽  
R. J. Bell
Keyword(s):  
Electromagnetic Waves ◽  
Isotropic Media ◽  
Surface Electromagnetic Waves

Exact solutions for transverse electromagnetic wave propagation in a cylindrically stratified axially magnetized plasma

1969 ◽  
Vol 66 (1) ◽  
pp. 129-143 ◽  
Author(s):  
B. S. Westcott
Keyword(s):  
Exact Solutions ◽  
Electromagnetic Waves ◽  
Cylindrical Symmetry ◽  
Magnetized Plasma ◽  
Plasma Properties ◽  
Special Cases ◽  
Isotropic Media ◽  
Transcendental Functions ◽  
Transverse Electromagnetic ◽  
Transverse Propagation

AbstractThe equations describing transverse propagation of electromagnetic waves in a cylindrically stratified plasma, in which a static magnetic field is imposed parallel to the axis of cylindrical symmetry, are examined. A systematic method developed previously for isotropic media, Heading (3), Westcott (6) is adapted to yield generalized proffles relating to the plasma properties. These proffles are capable of producing exact solutions for the field distribution in terms of standard transcendental functions. Previously known proffles appear as special cases of the analysis.

Complex unitary vectors for the direction of propagation and for the polarization of electromagnetic waves in absorbing isotropic media

2004 ◽  
Vol 21 (9) ◽  
pp. 1776 ◽  
Author(s):  
S. Alfonso ◽  
C. Alberdi ◽  
J. M. Diñeiro ◽  
M. Berrogui ◽  
B. Hernández ◽  
...  
Keyword(s):  
Electromagnetic Waves ◽  
Isotropic Media

scholarly journals Planar refraction and lensing of highly confined polaritons in anisotropic media

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
J. Duan ◽  
G. Álvarez-Pérez ◽  
A. I. F. Tresguerres-Mata ◽  
J. Taboada-Gutiérrez ◽  
K. V. Voronin ◽  
...  
Keyword(s):  
Refractive Index ◽  
Free Space ◽  
Electromagnetic Waves ◽  
Anisotropic Media ◽  
High Refractive Index ◽  
Effective Control ◽  
Optical Effect ◽  
Light Bending ◽  
Natural Medium ◽  
Isotropic Media

AbstractRefraction between isotropic media is characterized by light bending towards the normal to the boundary when passing from a low- to a high-refractive-index medium. However, refraction between anisotropic media is a more exotic phenomenon which remains barely investigated, particularly at the nanoscale. Here, we visualize and comprehensively study the general case of refraction of electromagnetic waves between two strongly anisotropic (hyperbolic) media, and we do it with the use of nanoscale-confined polaritons in a natural medium: α-MoO3. The refracted polaritons exhibit non-intuitive directions of propagation as they traverse planar nanoprisms, enabling to unveil an exotic optical effect: bending-free refraction. Furthermore, we develop an in-plane refractive hyperlens, yielding foci as small as λp/6, being λp the polariton wavelength (λ0/50 compared to the wavelength of free-space light). Our results set the grounds for planar nano-optics in strongly anisotropic media, with potential for effective control of the flow of energy at the nanoscale.

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