Boundary conditions for the electromagnetic field on a non-differentiable fractal surface

A. P. Pancheha; A. A. Puzenko; S. A. Puzenko

doi:10.1016/0375-9601(93)90416-W

Boundary conditions for the electromagnetic field on a non-differentiable fractal surface

A. P. Pancheha^*, A. A. Puzenko, S. A. Puzenko

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We obtain the boundary conditions for the electromagnetic field on a non-differentiable fractal boundary between two isotropic and homogeneous media. We show that the synonymously defined direction in which the straight line crosses the fractal surface only once is the direction normal to the surface. The derived boundary conditions do not allow the limiting transition to a flat boundary. The connection between the usual and the obtained boundary conditions is discussed.

Original language	English
Pages (from-to)	407-410
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	182
Issue number	4-6
DOIs	https://doi.org/10.1016/0375-9601(93)90416-W
State	Published - 22 Nov 1993
Externally published	Yes

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abstract = "We obtain the boundary conditions for the electromagnetic field on a non-differentiable fractal boundary between two isotropic and homogeneous media. We show that the synonymously defined direction in which the straight line crosses the fractal surface only once is the direction normal to the surface. The derived boundary conditions do not allow the limiting transition to a flat boundary. The connection between the usual and the obtained boundary conditions is discussed.",

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AU - Puzenko, S. A.

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N2 - We obtain the boundary conditions for the electromagnetic field on a non-differentiable fractal boundary between two isotropic and homogeneous media. We show that the synonymously defined direction in which the straight line crosses the fractal surface only once is the direction normal to the surface. The derived boundary conditions do not allow the limiting transition to a flat boundary. The connection between the usual and the obtained boundary conditions is discussed.

AB - We obtain the boundary conditions for the electromagnetic field on a non-differentiable fractal boundary between two isotropic and homogeneous media. We show that the synonymously defined direction in which the straight line crosses the fractal surface only once is the direction normal to the surface. The derived boundary conditions do not allow the limiting transition to a flat boundary. The connection between the usual and the obtained boundary conditions is discussed.

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ER -

Boundary conditions for the electromagnetic field on a non-differentiable fractal surface

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