Journal ArticleDOI
Two-dimensional electromagnetism
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In this article, the authors present a formalism of the two-dimensional electromagnetism covariant under the pseudo-orthogonal group SO(2,1) for diffraction by plane obstacles as well as electromagnetic wave propagation in waveguides.Abstract:
Starting with a discussion of the two-dimensional scalar and spinor wave equations, the author presents a formalism of the two-dimensional electromagnetism covariant under the pseudo-orthogonal group SO(2,1). He proves that this covariant formalism makes it easier and more unambiguous to discuss diffraction by plane obstacles as well as electromagnetic wave propagation in waveguides.read more
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Time-dependent beltrami fields in material continua: The Beltrami-Maxwell postulates
TL;DR: In this paper, a comprehensive treatment of time-dependent Beltrami fields in material continua is enunciated, and a scheme for the general representation of Beltrammian fields has been given.
Journal ArticleDOI
Geometrical optics and geodesics in thin layers
TL;DR: In this paper, the propagation of a light ray in a thin layer (film) within geometrical optics is considered, and it is assumed that the ray is captured inside the layer due to reflecting walls or total internal reflection (in the case of a dielectric layer).
Journal ArticleDOI
Relativistic Theory of Diffraction by Plane Apertures at Oblique Incidence
TL;DR: In this paper, a relativistic theory for the diffraction of scalar and electromagnetic waves impinging at any incidence on plane apertures is presented, where the diffracted field is obtained by an integral relation with, as diffracting kernal, a socalled focus wave mode.
Journal ArticleDOI
Limitations in the 2D description of the electromagnetic waves propagation in thin dielectric and magnetic layers
Tomasz Radożycki,Piotr Bargiela +1 more
TL;DR: In this paper, the propagation of electromagnetic waves trapped within dielectric and magnetic layers is considered, and the description within the three-dimensional theory is compared to the simplified analysis in t...
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Reduction of the classical electromagnetism to a two-dimensional curved surface
TL;DR: In this paper, the reduction of the three-dimensional classical electromagnetism is performed in a two-fold way in the form of conserved electric currents flowing along the surface.
References
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Light transmission optics
TL;DR: Light transmission optics, light transmission optics as discussed by the authors, Light transmission optics, مرکز فناوری اطلاعات, ا�ل-اع رسانی,
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A general formulation of focus wave modes
TL;DR: In this article, a general formulation for electromagnetic pulses which remain localized in a multidimensional space, and which propagate at the speed of light without dispersing (focus wave modes) is given.
Journal ArticleDOI
The Goursat problem for the homogeneous wave equation
TL;DR: The Goursat problem for the 3D homogeneous wave equation has been studied in this paper, where some methods to solve it are discussed and some methods for solving it are presented.
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Spinor form of electromagnetism in nonhomogeneous media
TL;DR: In this article, the spinor formalism for electromagnetic waves in layered media with an application to the simple case of the TE and TM modes is presented, and the prospects for more complex situations where numerical computations are needed are discussed.
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Plane Waves with Transverse Structure
TL;DR: In this article, it was shown that some inhomogeneous scalar wave among which the focus wave modes are non-dispersive plane wave with a non-uniform transverse structure.