2019
DOI: 10.1364/oe.27.002112
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100% reliable algorithm for second-harmonic-generation frequency-resolved optical gating

Abstract: We demonstrate a novel algorithmic approach for the second-harmonic-generation (SHG) frequency-resolved optical gating (FROG) ultrashort-pulse-measurement technique that always converges and, for complex pulses, is also much faster. It takes advantage of the Paley-Wiener Theorem to retrieve the precise pulse spectrum-half the desired information-directly from the measured trace. It also uses a multi-grid approach, permitting the algorithm to operate on smaller arrays for early iterations and on the complete ar… Show more

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Cited by 39 publications
(14 citation statements)
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“…Both, visual comparison of the reconstructed spectrograms (see Fig. S4) and the trace-area normalized FROG error G' < 0.05 28,29 of the reconstructed spectrograms indicate good agreement.…”
mentioning
confidence: 62%
“…Both, visual comparison of the reconstructed spectrograms (see Fig. S4) and the trace-area normalized FROG error G' < 0.05 28,29 of the reconstructed spectrograms indicate good agreement.…”
mentioning
confidence: 62%
“…5(c)) traces were binned to a 256256 array. We retrieved each pulse using the newly developed and highly reliable RANA Approach for SHG FROG [30], [31].The FROG errors for the SG and CG traces were 0.0068 and 0.0062 respectively. Figures 5(e) and 5(f) attests to the excellent agreement achieved between the CG and SG retrieved results.…”
Section: Resultsmentioning
confidence: 99%
“…7a. For the retrieval we used the RANA algorithm [7]. A low G error of 0.0084 and a good agreement between the retrieved and measured spectrum of the pulse (see Fig.…”
Section: Test Of a Highly Sensitive Shg Frog Using A Ppln Crystalmentioning
confidence: 98%
“…In any case, our prediction is still much more accurate than the simple plane wave approximation, which neglects the focusing and the spatial walk-off effects (dashed-dot line). For this reason, we suggest the aperture length as a relevant dimension when estimating the phasematching bandwidth for NCPM SHG from temporal walk-off (GVM×L) or rules (6) or (7) when one is choosing the right focusing.…”
Section: Spectral Bandwidth Of Up-converted Ultrashort Pulsementioning
confidence: 99%