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Topical Meeting on Optical Bistability (OB)

Mirrorless Intrinsic Optical Bistability Due to the Local Field Correction in the Maxwell-Bloch Formulation

C. M. Bowden, F. A. Hopf, W. H. Louisell

Published Jan 1, 1983• 1 citation
Publisher

Abstract

The local field correction (LFC) is associated with the passage from microscopic to macroscopic electrodynamics. The conventional derivation of the LFC is found in Jackson1, and the implication is that the correction is due to all of the atoms in the system, which implies some kind of collective phenomenon. In the work reported here, we draw heavily upon the discussion of the LFC of Van Kranendank and Sipe2 (KS).

DOI
10.1364/obi.1983.tha5

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The local field correction (LFC) is associated with the passage from microscopic to macroscopic electrodynamics. The conventional derivation of the LFC is found in Jackson1, and the implication is that the correction is due to all of the atoms in the system, which implies some kind of collective phenomenon. In the work reported here, we draw heavily upon the discussion of the LFC of Van Kranendank and Sipe2 (KS).
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Recent interest has focussed on the subject of mirrorless optical bistability, the simplest system showing bistability theoretically is a system of N ≥ 2 atoms. Microscopic theory is derived from quantum theory by a factorization of binary products of operators. There are strong inter atomic interactions in the bistable regime, it is unlikely that these factorizations are valid. Quantum calculations that avoid factorization imply that bistability does not exist. Hence in the previous bistability conference there was skepticism that bistability could really occur in a mirrorless system with only a few atoms.