Transmission, Reflection, and Guiding of an Exponential Pulse by a Steel Plate in Water. 1 Theory

Abstract

In this report the problem of the interaction of an underwater explosion wave with a steel plate is discussed. Particular attention is given to those aspects of the problem in which the plate can be considered as a two-dimensional wave guide. The phase velocities of the more important modes of the plate are evaluated as functions of frequency. They are used to derive the properties of the precursor, and oscillation which preceded the explosion wave as it travels along the plate. The results of the theory are compared briefly with experiment. A more detailed discussion of the experiments will be given in a second report. The methods used In this report are also applicable to the evaluation of the phase velocities of the modes of an electromagnetic wave guide. The propagation of a transient, such as an explosion wave, down a wave guide presents the interesting mathematical problem of the evaluation of a contour integral of a function of a complex variable defined implicitly. No rigorous solution for this problem as yet exists.

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Document Details

Document Type
Technical Report
Publication Date
May 29, 1945
Accession Number
AD1191820

Entities

People

  • M. F. Osborne
  • S. D. Dart

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Attenuation
  • Boundaries
  • Complex Variables
  • Contour Integrals
  • Doppler Effect
  • Equations
  • Explosions
  • Frequency
  • Frequency Shift
  • Long Wavelengths
  • Observation
  • Oscillation
  • Phase Velocity
  • Plane Waves
  • Precursors
  • Two Dimensional
  • Waves

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Explosive Engineering.
  • Theoretical Analysis.