Reconciling the eigenmode analysis with the Maxwell-Bloch equations approach to superradiance in the linear regime |
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Authors: | Richard Friedberg |
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Institution: | a Department of Physics, Columbia University, New York, NY 10027, USA b HMS Consultants, Inc., PO Box 592, New York, NY 10028, USA |
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Abstract: | The superradiance from a slab of inverted two-level atoms is theoretically analyzed in the linear regime from both the perspective of the expansion in eigenfunctions of the integral equation with the Lienard-Wiechert potential as kernel, and that of linearizing the Maxwell-Bloch equations. We show the equivalence of both approaches. We show that the so-called Reduced Maxwell-Bloch equations do not yield even approximately the correct solution when applied in the obvious way, but that they can be made to give the correct solution by adding a fictitious input field. |
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Keywords: | 42 50 Fx 42 50 Nn |
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