Abstract
The field of optical pulse-shaping and its applications is introduced, with a focus on time-domain approaches. A numerical investigation of all-fiber, time-domain, phase-only filtering is conducted for arbitrary temporal pulse synthesis. The theoretical phase modulation function required for generating use- specific target-intensity profiles is calculated using different optimization methods including a Brute Force Monte Carlo search, the Simulated Annealing method and the Genetic Algorithm method. The convergence speed, computational complexity and accuracy of these methods is compared under binary phase-only modulation, where the Genetic algorithm was found to outperform other methods.
Highlights
Optical pulse-shaping has attracted considerable interest in the last decade, due to its promise in a wide variety of applications, ranging from spectroscopy [1] to ultra-high bit rate optical communications [2]
The parameters used in the previous simulation were T0 = 1, kB = 1; the maximum number of successful iterations allowed per temperature was set as 100; the cooling schedule was set as Ti+1 = 0.8Ti; the minimum temperature Tmin = 10−8 and the maximum number of consecutive failures allowed were 500
It is worth noting that the Simulated annealing (SA) method relies on the fundamental assumption that optimum solutions are more likely to be found in the neighborhood of already known optimum solutions, as opposed to randomly selecting from the entire solution space, as with the Brute Force Monte Carlo (MC) method
Summary
Optical pulse-shaping has attracted considerable interest in the last decade, due to its promise in a wide variety of applications, ranging from spectroscopy [1] to ultra-high bit rate optical communications [2]. Pulse-shapers can be operated under either open-loop control or feedback (adaptive control) configurations, as shown in Figure 1a,b, respectively [3,4]. Femto second pulses are used to influence the dynamics of a chemical or physical reaction, directing it towards a desired reaction or state [4] The optimization methods compared in this work were recently adapted to control a programmable, modelocked fiber laser [17]
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