Integro-Differential Charges and Currents Distribution on the Fractal Medium Topology

Abstract

We will consider the geometric and physical aspects that permit introduction of the so-called alpha-characteristics for studying the behavior of electromagnetic field components in the vicinity of a set of points with fractal properties. To estimate the alpha-characteristics possible algorithms are formulated namely a geometric one involving evaluation of the Hausdorff measure and an analytical algorithm permitting the Hausdorff measure to be evaluated through application of fractional derivatives and integrals.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2002
Accession Number
ADP013896

Entities

People

  • Vladymir M. Onufriyenko

Organizations

  • National University "Zaporizhzhia Polytechnic"

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coordinate Systems
  • Coverings
  • Delta Functions
  • Electric Power
  • Electrical Resistance
  • Electromagnetic Fields
  • Electromagnetism
  • Electronic Mail
  • Equations
  • Helmholtz Equations
  • Mathematical Models
  • Metamaterials
  • Segmented
  • Technical Information Centers
  • X Rays

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.