Abstract
We use experimental search space mapping to examine the problem of selective nonlinear excitation with binary phase shaped femtosecond laser pulses. The search space maps represent a graphical view of all the possible solutions to the selective nonlinear excitation problem along with their experimental degrees of success. Using the information learned from these maps, we generate narrow lines with low background in second harmonic generation and stimulated Raman scattering spectra.
Highlights
The ability to produce a narrow tunable peak in the nonlinear spectra of a femtosecond laser would allow nonlinear optical processes such as two-photon excitation and impulsive stimulated Raman excitation to be controlled with a single femtosecond source
We use experimental search space mapping to examine the problem of selective nonlinear excitation with binary phase shaped femtosecond laser pulses
The search space maps represent a graphical view of all the possible solutions to the selective nonlinear excitation problem along with their experimental degrees of success
Summary
The ability to produce a narrow tunable peak in the nonlinear spectra of a femtosecond laser would allow nonlinear optical processes such as two-photon excitation and impulsive stimulated Raman excitation to be controlled with a single femtosecond source. The primary obstacle to achieving this goal is the difficulty of finding the femtosecond pulse shape that produces the desired nonlinear spectra. The success of a search method such as a genetic algorithm depends largely on the nature of the search space, or the distribution of good solutions over the set of all possible pulse shapes. Our approach to the problem of creating a narrow peak in nonlinear spectra is to reduce the number of variables to make the problem more manageable, while making sure not to eliminate all the best solutions from the search space. We examine the distribution of the binary phases functions that best create narrow peaks at desired locations in the nonlinear spectra. Using the information provided by search space mapping, we explore a subset of 48-bit functions through simulation and experimental verification, and demonstrate tunable narrow peaks
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