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Proceedings Paper

The homogeneous dispersive lineshape as a wavelet basis
Author(s): Alan E. Craig
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Paper Abstract

The frequency domain susceptibility of all materials results from the collective response of absorptive resonances. The concomitant dispersive response follows according to the Kramers-Kronig relations for causal transfer functions. For an inhomogeneously broadened spectrum that comprises a collection of frequency-shifted homogeneously broadened absorption lines, analysis of the response is in principle straightforward and repetitive. The prospect that these regular resonant features might serve as a mathematical basis for constructing an arbitrary spectral susceptibility suggests the use of their mathematical lineshape as a mother wavelet in a wavelet basis.

Paper Details

Date Published: 8 February 2007
PDF: 12 pages
Proc. SPIE 6482, Advanced Optical and Quantum Memories and Computing IV, 648203 (8 February 2007); doi: 10.1117/12.716385
Show Author Affiliations
Alan E. Craig, Montana State Univ. (United States)

Published in SPIE Proceedings Vol. 6482:
Advanced Optical and Quantum Memories and Computing IV
Zameer U. Hasan; Alan E. Craig; Selim M. Shahriar; Hans J. Coufal, Editor(s)

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