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Publisher DOI: 10.1063/5.0050770
Title: Fourier optics with linearly tapered waveguides: light trapping and focusing
Language: English
Authors: Gaafar, Mahmoud Abdelaziz 
Renner, Hagen 
Eich, Manfred 
Petrov, Alexander  
Issue Date: 23-Jun-2021
Publisher: AIP Publishing
Source: APL Photonics 6 (6): 066108 (2021-06)
Abstract (english): 
An optical pulse asymptotically reaching zero group velocity in tapered waveguides can ultimately stop at a certain position in the taper accompanied by a strong spatial compression. This phenomenon can also be observed in spatiotemporal systems where the pulse velocity asymptotically reaches the velocity of a tapered front. The first system is well known from tapered plasmonic waveguides where adiabatic nano-focusing of light is observed. Its counterpart in the spatiotemporal system is the optical push broom effect where a nonlinear front collects and compresses the signal. Here, we use the slowly varying envelope approximation to describe such systems. We demonstrate an analytical solution for the linear taper and the piecewise linear dispersion and show that the solution in this case resembles that of an optical lens in paraxial approximation. In particular, the spatial distribution of the focused light represents the Fourier transform of the signal at the input.
DOI: 10.15480/882.3693
ISSN: 2378-0967
Journal: APL photonics 
Institute: Optische und Elektronische Materialien E-12 
Document Type: Article
Project: Relativistische photonische Bandlückenspiegel in der integrierten Optik 
Publikationsfonds 2021 
Funded by: Deutsche Forschungsgemeinschaft (DFG) 
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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