Ray Curvature and Refraction of Wave Packets.

Abstract

An expression for the ray curvature of a wave packet is derived which is suitable for use in wave prediction programs. The ray curvature of the wave packet is found to vanish if the packet direction becomes either perpendicular or parallel to the wave speed contours, assuming the wavelet direction is not parallel to the contours. For parallel water depth contours, this means that as a hydron moves into shoaling water refraction tends eventually to turn the hydron so that it is directed either perpendicular or parallel to the shoreline. The first case is similar to monochromatic waves. It is the result for hydrons which begin in deep water if the angle of incidence is between 0 and 74.8 deg with respect to the contour normal. However, for deep water angles of incidence equal to or greater than 74.8 deg the hydrons are turned and move parallel to shore in water of intermediate depth. The packet ray curvature approaches infinity as the wavelet direction, but not the hydron direction, becomes parallel to the wave speed contours. The result is total reflection of the waves.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1978
Accession Number
ADA064302

Entities

People

  • J. Ernest Breeding Jr.

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Angle Of Incidence
  • Breeding
  • Civil Engineering
  • Contracts
  • Deep Water
  • Earth Sciences
  • Engineering
  • Geography
  • Group Velocity
  • Jet Propulsion
  • Military Research
  • Oceanography
  • Particles
  • Quantum Mechanics
  • Water Waves
  • Wave Packets
  • West Germany

Readers

  • Coastal Oceanography
  • Fluid Mechanics and Fluid Dynamics.
  • Military History / Militaries and War Studies