The homogeneous dispersive lineshape as a wavelet basis

Alan E. Craig

doi:10.1117/12.716385

8 February 2007 The homogeneous dispersive lineshape as a wavelet basis

Alan E. Craig

Proceedings Volume 6482, Advanced Optical and Quantum Memories and Computing IV; 648203 (2007) https://doi.org/10.1117/12.716385
Event: Integrated Optoelectronic Devices 2007, 2007, San Jose, California, United States

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.

Citation Download Citation

Alan E. Craig "The homogeneous dispersive lineshape as a wavelet basis", Proc. SPIE 6482, Advanced Optical and Quantum Memories and Computing IV, 648203 (8 February 2007); https://doi.org/10.1117/12.716385

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