Diagrammatic analysis of the density operator for nonlinear optical calculations: Pulsed and cw responses

Phys. Rev. A 18, 1597 – Published 1 October 1978
T. K. Yee and T. K. Gustafson


In the present paper a diagrammatic analysis of the density operator for the evaluation of nonlinear optical quantities is considered. The present approach extends earlier diagrammatic analysis by treating the time evolution of both the wave function and its complex conjugate. Time-ordered graphs result, each of which corresponds to a term in the density matrix. Examples involving the third-order susceptibility are discussed for both monochromatic and pulse excitation. In particular coherent rotational transient birefringence is discussed. The diagrams provide a convenient means by which nonlinear optical processes can be precisely defined and the susceptibility readily evaluated.

DOI: http://dx.doi.org/10.1103/PhysRevA.18.1597

  • Received 28 February 1977
  • Revised 18 November 1977
  • Published in the issue dated October 1978

© 1978 The American Physical Society

Authors & Affiliations

T. K. Yee and T. K. Gustafson

  • Department of Electrical Engineering and Computer Sciences and the Electronic Research Laboratory, University of California, Berkeley 94720

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