TY - JOUR

T1 - Boundary conditions for the electromagnetic field on a non-differentiable fractal surface

AU - Pancheha, A. P.

AU - Puzenko, A. A.

AU - Puzenko, S. A.

PY - 1993/11/22

Y1 - 1993/11/22

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.

UR - http://www.scopus.com/inward/record.url?scp=43949164021&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(93)90416-W

DO - 10.1016/0375-9601(93)90416-W

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AN - SCOPUS:43949164021

SN - 0375-9601

VL - 182

SP - 407

EP - 410

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-6

ER -