Scale-Invariant Theory of Optical Properties of Fractal Clusters

Abstract

Optical properties of fractal clusters are considered by means of a scale-invariant theory. Numerical simulations are carried out for three fractal types: self-avoiding walks, random walks and Witten-Sander's. Fractal are scale self-similar mathematical objects possessing nontrivial geometrical properties. There exist various physical realizations of fractals, and here we shall consider optical properties of what we believe to be one the most important such realizations, namely fractal clusters. A fractal cluster is a system of interacting material particles called monomers.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1990
Accession Number
ADA227031

Entities

People

  • Leonid S. Muratov
  • Mark I Stockman
  • Thomas F. George
  • Vadim A Markel

Organizations

  • University at Buffalo

Tags

DTIC Thesaurus Topics

  • Absorption
  • Abstracts
  • Availability
  • Chemistry
  • Classification
  • Excitation
  • Information Processing
  • Materials
  • Military Research
  • New York
  • Optical Absorption
  • Optical Properties
  • Physics
  • Random Walk
  • Security
  • United States
  • Universities

Fields of Study

  • Physics

Readers

  • Aerospace Propulsion Engineering.
  • Mathematical Modeling and Probability Theory.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.