Wave refraction at an interface: Snell’s law versus Chapman’s law

Abstract

Energy streamlines provide insights into mechanisms of wave propagation and scattering and are often utilized to visualize wave fields. In contrast to rays, which are essentially an asymptotic, short-wave concept, energy streamlines adequately represent arbitrary wave fields. However, the usefulness of energy streamlines in studies of wave fields is limited by the fact that, unlike rays, no general laws governing energy streamline refraction are known. Here, a simple refraction law is derived for energy streamlines of acoustic and linearly polarized electromagnetic waves. It is shown that analysis of energy streamlines provides a helpful supplementary perspective on wave transmission through interfaces.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 25, 2009
Source ID
10.1121/1.3082003

Entities

People

  • Oleg A. Godin

Organizations

  • Office of Naval Research
  • University of Colorado

Tags

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.