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Frequency-Resolved Optical Gating Recovery via Smoothing Gradient.
- Source :
-
IEEE Transactions on Signal Processing . Dec2019, Vol. 67 Issue 23, p6121-6132. 12p. - Publication Year :
- 2019
-
Abstract
- Frequency-resolved optical gating (FROG) is a popular technique for complete characterization of ultrashort laser pulses. The acquired data in FROG, called FROG trace, is the Fourier magnitude of the product of the unknown pulse with a time-shifted version of itself, for several different shifts. To estimate the pulse from the FROG trace, we propose an algorithm that minimizes a smoothed non-convex least-squares objective function. The method consists of two steps. First, we approximate the pulse by an iterative spectral algorithm. Then, the attained initialization is refined based upon a sequence of block stochastic gradient iterations. The algorithm is theoretically simple, numerically scalable, and easy-to-implement. Empirically, our approach outperforms the state-of-the-art when the FROG trace is incomplete, that is, when only few shifts are recorded. Simulations also suggest that the proposed algorithm exhibits similar computational cost compared to a state-of-the-art technique for both complete and incomplete data. In addition, we prove that in the vicinity of the true solution, the algorithm converges to a critical point. A Matlab implementation is publicly available at https://github.com/samuelpinilla/FROG. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ULTRASHORT laser pulses
*STATISTICAL smoothing
*OPTICAL pulse generation
Subjects
Details
- Language :
- English
- ISSN :
- 1053587X
- Volume :
- 67
- Issue :
- 23
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Signal Processing
- Publication Type :
- Academic Journal
- Accession number :
- 140859102
- Full Text :
- https://doi.org/10.1109/TSP.2019.2951192