Pulse retrieval algorithm for interferometric frequency-resolved optical gating based on differential evolution.

A novel algorithm for the ultrashort laser pulse characterization method of interferometric frequency-resolved optical gating (iFROG) is presented. Based on a genetic method, namely, differential evolution, the algorithm can exploit all available information of an iFROG measurement to retrieve the complex electric field of a pulse. The retrieval is subjected to a series of numerical tests to prove the robustness of the algorithm against experimental artifacts and noise. These tests show that the integrated error-correction mechanisms of the iFROG method can be successfully used to remove the effect from timing errors and spectrally varying efficiency in the detection. Moreover, the accuracy and noise resilience of the new algorithm are shown to outperform retrieval based on the generalized projections algorithm, which is widely used as the standard method in FROG retrieval. The differential evolution algorithm is further validated with experimental data, measured with unamplified three-cycle pulses from a mode-locked Ti:sapphire laser. Additionally introducing group delay dispersion in the beam path, the retrieval results show excellent agreement with independent measurements with a commercial pulse measurement device based on spectral phase interferometry for direct electric-field retrieval. Further experimental tests with strongly attenuated pulses indicate resilience of differential-evolution-based retrieval against massive measurement noise.

[1]  R. Trebino,et al.  Pulse retrieval in frequency-resolved optical gating based on the method of generalized projections. , 1994, Optics letters.

[2]  Helder Crespo,et al.  Simultaneous compression and characterization of ultrashort laser pulses using chirped mirrors and glass wedges. , 2011, Optics express.

[3]  Xiaoji G. Xu,et al.  Femtosecond nanofocusing with full optical waveform control. , 2011, Nano letters.

[4]  J. W. Nicholson,et al.  Noise sensitivity and accuracy of femtosecond pulse retrieval by phase and intensity from correlation and spectrum only (PICASO) , 2002 .

[5]  J. Diels,et al.  Control and measurement of ultrashort pulse shapes (in amplitude and phase) with femtosecond accuracy. , 1985, Applied optics.

[6]  P. Rocca,et al.  Differential Evolution as Applied to Electromagnetics , 2011, IEEE Antennas and Propagation Magazine.

[7]  Structures of interferometric frequency-resolved optical gating , 2006, IEEE Journal of Selected Topics in Quantum Electronics.

[8]  Hsuan-Hao Lu,et al.  Dispersion-corrected frequency-resolved optical gating. , 2016, Optics letters.

[9]  Günter Steinmeyer,et al.  Interferometric frequency-resolved optical gating. , 2005, Optics express.

[10]  D. Wiersma,et al.  Amplitude and phase characterization of 4.5-fs pulses by frequency-resolved optical gating. , 1998, Optics letters.

[11]  Namkyoo Park,et al.  Adiabatic nanofocusing on ultrasmooth single-crystalline gold tapers creates a 10-nm-sized light source with few-cycle time resolution. , 2012, ACS nano.

[12]  B. Metzger,et al.  High-power widely tunable sub-20 fs Gaussian laser pulses for ultrafast nonlinear spectroscopy. , 2011, Optics express.

[13]  Mansoor Sheik-Bahae,et al.  Real-time chirp diagnostic for ultrashort laser pulses. , 2002, Optics letters.

[14]  Emilio Gualda,et al.  Ultrashort pulse characterisation with SHG collinear-FROG. , 2004, Optics express.

[15]  Pavel Sidorenko,et al.  Ptychographic reconstruction algorithm for frequency resolved optical gating: super-resolution and supreme robustness , 2016 .

[16]  Gregory E. Hall,et al.  CW autocorrelation measurements of picosecond laser pulses , 1980 .

[17]  T. Elsaesser,et al.  Noninstantaneous polarization dynamics in dielectric media , 2014 .

[18]  Daniel J. Kane,et al.  Simultaneous measurement of two ultrashort laser pulses from a single spectrogram in a single shot , 1997 .

[19]  J W Nicholson,et al.  Evolving FROGS: phase retrieval from frequency-resolved optical gating measurements by use of genetic algorithms. , 1999, Optics letters.

[20]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[21]  Optimizing spectral phase interferometry for direct electric-field reconstruction , 2006 .

[22]  P. Loza-Álvarez,et al.  Measurement of electric field by interferometric spectral trace observation. , 2005, Optics letters.

[23]  R. Trebino,et al.  Noise sensitivity in frequency-resolved optical-gating measurements of ultrashort pulses , 1995 .

[24]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[25]  Interferometric time-domain ptychography for ultrafast pulse characterization , 2017, 2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC).

[26]  Günter Steinmeyer,et al.  Pulse‐shape instabilities and their measurement , 2013 .

[27]  D N Fittinghoff,et al.  Collinear type II second-harmonic-generation frequency-resolved optical gating for use with high-numerical-aperture objectives. , 1998, Optics letters.