16 February 2018 Solving the logarithmic Monge-Ampère equation with a RK4-algorithm for beam shaping purposes of femtosecond laser beams with spatial light modulators
Author Affiliations +
Abstract
We will demonstrate a Runge Kutta based algorithm for solving the Mone-Ampère-Problem. The method is utilizing its parabolic type. We will show the exact numerical solving method down to each step. The derived solution is used in the context of laser beam shaping to reshape any given input distribution to arbitrary output distributions free of any constraints other than diffraction, which includes a true black in said distribution. The presented algorithm will give the required phase which will be used to verify the solution theoretically via diffraction integral and practically via Spatial Light Modulator (SLM).
Conference Presentation
© (2018) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Alexander Kratsch, Alexander Kratsch, Markus Olbrich, Markus Olbrich, Steffen Weißmantel, Steffen Weißmantel, Alexander Horn, Alexander Horn, } "Solving the logarithmic Monge-Ampère equation with a RK4-algorithm for beam shaping purposes of femtosecond laser beams with spatial light modulators", Proc. SPIE 10518, Laser Resonators, Microresonators, and Beam Control XX, 105181L (16 February 2018); doi: 10.1117/12.2287454; https://doi.org/10.1117/12.2287454
PROCEEDINGS
12 PAGES + PRESENTATION

SHARE
RELATED CONTENT

Field mappers for laser material processing
Proceedings of SPIE (April 22 2016)
Line-shaped femtosecond laser pulses for large-area machining
Proceedings of SPIE (February 17 2017)
Stiff traps using super-oscillating optical beams
Proceedings of SPIE (September 07 2018)
Smallest 1D flat-top focus by polarization manipulation
Proceedings of SPIE (August 25 2006)

Back to Top