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Impact of frequency-dependent spherical aberration in the focusing of ultrashort pulses

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Abstract

In this paper, the temporal and spatial intensity pulse distributions are calculated around the focal region of an optical system using a combination of ray tracing and a wave propagation method. We analyze how to measure the width of the intensity pulse distributions to estimate pulse duration and spot size in order to study the impact of the variation of spherical aberration with frequency in a pulse on the intensity distributions. Two experimental techniques used in the laboratory are also modeled: the knife-edge test to measure spatial distribution and the intensity autocorrelation technique to measure the temporal distribution. We use two measuring criteria, the full-width half-maximum (FWHM) and standard deviation ($\sigma$), to compare the spatial and temporal intensity distributions of the calculated diffraction patterns and those obtained from the simulated experimental techniques. We show that the FWHM is not a good criterion, since it gives different results in the measured intensity distributions in time and space when they are measured directly from the theoretical modeling and when they are measured from the modeled experimental techniques used in the laboratory. The standard deviation, however, is a consistent criterion, giving the same results for the calculated intensity distributions and the modeled experiments.

© 2020 Optical Society of America

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Supplementary Material (5)

NameDescription
Visualization 1       Theoretical spatial intensity profile around the focal point for an aberrated-free lens
Visualization 2       Spatial intensity profile around the focal point of an aberrated-free lens and calculated with the knife-edge test.
Visualization 3       Spatial intensity profile around the focal point when the aberration is calculated for the carrier
Visualization 4       Spatial intensity profile around the focal point for the complete-aberration case.
Visualization 5       Spatial intensity profile around the focal point obtained from the knife-edge test and complete-aberration case

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Figures (11)

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Equations (11)

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