Design Manual for a Constant Beamwidth Transducer.

Abstract

The theory of a broadband constant beamwidth transducer (CBT) which is based on Legendre function amplitude shading of a spherical cap was described in a previous report, J. Acoust. Soc. Am. 64:38-43 (1978). Theoretical calculations showed the CBT to have uniform acoustic loading, extremely low side-lobes, virtually no nearfield, an essentially constant beam pattern for all frequencies above a certain cutoff frequency, and a flat transmitting current response over a broad band for piezoelectric drive. In this report formulas suitable for the design of a CBT which is to be used as a transmitter and/or receiver are developed. The formulas involve simple algebraic and trigonometric expressions and can be readily evaluated using a pocket calculator. Formulas are developed for the required velocity distribution, limiting beam patterns, directivity index, equivalent two-way beam widths for volume and surface reverberation, shading coefficients for a stepwise implementation of the velocity distribution, size, ceramic mass, bandwidth, source level, transmitting voltage and current responses, and receiving voltage sensitivity. The report concludes with an example illustrating the procedure used to design a CBT with a specified - 3 dB half-angle beam pattern, source level, and receiving voltage sensitivity. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 11, 1979
Accession Number
ADA076971

Entities

People

  • A. L. Van Buren

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Acoustic Properties
  • Bandwidth
  • Capacitance
  • Capacitors
  • Crystal Structure
  • Electrical Impedance
  • Frequency
  • Frequency Bands
  • Geometry
  • Impedance
  • Legendre Functions
  • Materials
  • Radiation
  • Radiation Patterns
  • Thickness
  • Transducers
  • Transmitting

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Instructional Design and Training Evaluation.