READ ME File For 'Dataset for Robust phase retrieval_'

Dataset DOI: 10.5258/SOTON/D0414

ReadMe Author: Yujun Feng, University of Southampton

This dataset supports the publication:

Robust phase retrieval using group-delay-dispersion-scanned second harmonic generation demonstrated in a femtosecond fiber chirped-pulse amplification system

This dataset contains which are used for generating Fig.2 to Fig.8 and Fig.10. These figures are plotted using Matlab 2017
The figures are as follows:

Fig. 2. (Color online.) Illustrative data at different steps of the phase retrieval. (a) Stitched-colormap showing SHG spectra calculated using Eq. (1) for different applied GDD (d-scan map); (b) fundamental spectrum; (c) estimated phase φ(ω) obtained by second integral of estimated GDD φ”(ω); (d) Estimated retrieved GDD in successive iterations, Gi” (ω), (e) Synthesized d-scan using retrieved phase and the fundamental spectrum; (f) spectrally weighted retrieved GDD error (Eq. 3) and global error (Eq. 4) illustrating typical evolution to a low plateau value vs. iteration number; (g) comparison of finally retrieved phase and the applied spectral phase. 
Fig. 3. (Color online.) Simulation results for pulse with an asymmetric right-triangular spectrum corresponding to a 133 fs transform-limited pulse with 3rd, 4th, 5th order dispersion or a randomly generated phase. (a) Pulse spectrum; (b) Time-domain profiles; (c) (f) Test and retrieved phase profiles (retrieval error inset): (c) random phase; (d) 3rd order dispersion distortion; (e) 4th order dispersion; (f) 5th order dispersion.
Fig. 4. (Color online.) Simulation results for Gaussian pulse with SPM applied (B integral = 3 radians). (a) d-scan map.; and (b) simulated and retrieved phase profiles. (See text and Table 2 for details.). 
Fig. 5. (Color online.) Simulation results for special cases. The left column shows the d-scan maps. The right column shows the simulated and retrieved phase profiles. (a), (b) Gaussian with step change in phase profile; (c), (d) Gaussian with slowly varying sinusoidal phase profile; (e), (f) Gaussian with rapidly varying sinusoidal phase. (See text and Table 2 for details.) 
Fig. 6. (Color online.) Simulation results for a 4% replica pre-pulse (shown in (a,c,e)) and post-pulse (shown in (b,d,f)). Both the main pulse and the replica have identical, transform-limited, phase profiles. (a), (b) temporal profiles (c), (d) fundamental spectral profiles (same for pre- and post-pulse). (e), (f) d-scans. (The central line across the SHG data does have power density modulations similar to those in the fundamental spectra although the dB scale for the d-scan map in the lower row insets does not display this very clearly.) 
Fig. 7. (Color online.) Simulation results for complex double pulse profile (see text for details). (a) double pulse in time domain; (b) fundamental spectrum; (c) d-scan map; (d) actual (original) and retrieved phase results. 
Fig. 8. (Color online.) The influence of pulse-to-pulse fluctuations on the phase retrieval accuracy. The test pulses are the same as in Section A, namely, a Gaussian (figures (a)-(c)) and right-triangular spectrum (figures (d)-(f)) with applied 3rd, 4th 5th order GDD and random GDD profiles. (See Table 2.) Each row shows the test results for a different type of pulse fluctuation.(See text for details.) 
Fig. 10. (Color online.) Experimental d-scan phase retrieval results. Frequency offsets shown are relative to the pulse central wavelength of 1045 nm. (a) Colormap showing SHG spectra as a function of the applied GDD (d-scan); (b) retrieved GDD error, ErrG, and global error, Errm, (c) calculated temporal pulse profile (d) retrieved phase and independently measured fundamental spectrum (e) measured autocorrelation trace compared with both the phase-distorted and transform limited calculated autocorrelation traces (f) measured and retrieved (calculated) SHG spectrum with the horizontal-roof mirror at the position that corresponds to the shortest measured SHG autocorrelation. 

Geographic location of data collection: University of Southampton, U.K.

Related projects:
AFOSR (FA9550-14-1-0382)


Dataset available under a CC BY 4.0 licence


Publisher: University of Southampton, U.K.


Date: January 2018