Theory of self-oscillation and mode locking in a longitudinal photoacoustic resonator

Ziyao Tang, Han Jung Park, Roger M. Diebold, and Gerald J. Diebold
Phys. Rev. E 90, 043204 – Published 22 October 2014

Abstract

The wave equation for pressure that governs generation of the photoacoustic effect possesses a forcing term proportional to the time derivative of the energy delivered to the gas per unit volume and time. A positive pressure fluctuation, with its accompanying density increase, thus increases the optical absorption and provides a positive feedback mechanism for sound generation. A theory for self-oscillation in a one-dimensional resonator is given. Expressions for the photoacoustic pressure are derived for the cases of highly and weakly absorbing gases that indicate mode-locked sound generation. Experiments with CO2 lasers are reported where evidence of the self-generation effect was sought.

  • Figure
  • Received 25 April 2014
  • Revised 2 July 2014

DOI:https://doi.org/10.1103/PhysRevE.90.043204

©2014 American Physical Society

Authors & Affiliations

Ziyao Tang1, Han Jung Park1, Roger M. Diebold2, and Gerald J. Diebold1

  • 1Department of Chemistry, Brown University, Providence, Rhode Island 02912, USA
  • 2Department of Engineering and Applied Physics, Harvard University, Cambridge, Massachusetts 02138, USA

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Issue

Vol. 90, Iss. 4 — October 2014

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