Paper
18 August 1992 Beam shape sensitivity of spatial scanning
John A. Hermann
Author Affiliations +
Abstract
The effects of optical beam shape variations upon the near- field transmission features of a thin nonlinear medium located at a beam waist have been investigated. This work is particularly relevant to the z- scan techniques, as well as to the aperture -scan techniques, for characterising nonlinear media. In the model that has been explored, a family of incident transverse beam shapes F(p,v) characterised by a shape parameter v has been introduced at the focusing lens. For v <2, these transform to a diffraction pattern containing circular rings and expressible in terms of an ordinary Bessel function. For v < 2 there is only a central spot, expressible in terms of a modified Bessel function. The functions F(p ,v) conserve both the incident peak irradiance and the beam power as V changes. A simple cubic (Kerr) nonlinearity has been studied. It is shown that a basic trade-off exists between the width and height of the peak-valley separation in the normalised transmission curve.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
John A. Hermann "Beam shape sensitivity of spatial scanning", Proc. SPIE 1692, Nonlinear and Electro-Optic Materials for Optical Switching, (18 August 1992); https://doi.org/10.1117/12.138068
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KEYWORDS
Beam shaping

Near field optics

Nonlinear optics

Beam propagation method

Diffraction

Wave propagation

Bessel functions

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