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Springer eBooks

Scattering in 3D

Marko Horbatsch

Published Jan 1, 1995• 0 citations
Publisher
DOI
10.1007/978-3-642-79538-1_6

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Iterative data reconstruction in a thin photonic data storage medium using three-dimensional (3D) absorbers in a highly scattering medium is presented for secure data storage. 3D absorbers are used as data. A highly scattering medium protects data to measure 3D absorbers without knowledge of the scattering coefficient distribution because the phase information is lost during multiple scattering. This prevents an interferometer from measuring the volume medium. To recover the 3D absorbers, a 3D scattering coefficient distribution model is used as prior information and then an iterative method is applied to reduce the difference between the measured and numerical output intensity distributions. A preliminary numerical evaluation is presented.
An Ansatz based on an etalon function generated by the problem itself is used in order to obtain a uniform asymptotic approximation of the 3D wave function for the scattering by a non-central potential.The obtained uniform asymptotic approximation removes the singularities at the caustics that occur in the 3D WKB approximation.The scattering amplitude provided by the uniform asymptotic approximation contains the poles that are the fingerprints of the system.The comparison of the obtained uniform asymptotic approximation of the 3D scattering wave function with the exact scattering wave function shows the versatility of the Ansatz based on an etalon function generated by the problem itself.
The competition of stimulated Raman scattering (SRS) between 4S-(5P)-5S and 4S-(3D)-5S channels has been observed as a laser is tuned near the 4S-5P resonance in potassium vapour. The experimental results show that SRS only occurs in the 4S-(5P)-5S channel. In this Raman scattering, suppression of the amplified spontaneous emission (ASE) (5S-4P) has been observed. The influence of the four-wave mixing (FWM) processes on the SRS is discussed. In the 4S-(5P)-3D channel, in the backward direction no detectable emission corresponding to SRS (4S-(5P)-3D) has been observed, so the forward (5P)-3D emission should be FWM, not SRS. The ASE (3D-4P) arises from the ASE (5P-3D), which can be observed in the backward direction.