OptFROG - Analytic signal spectrograms with optimized time-frequency resolution

A Python package for the calculation of spectrograms with optimized time and frequency resolution for application in the analysis of numerical simulations on ultrashort pulse propagation is presented. Gabor's uncertainty principle prevents both resolutions from being optimal simultaneously for a given window function employed in the underlying short-time Fourier analysis. Our aim is to yield a time-frequency representation of the input signal with marginals that represent the original intensities per unit time and frequency similarly well. As use-case we demonstrate the implemented functionality for the analysis of simulations on ultrashort pulse propagation in a nonlinear waveguide.

[1]  J. R. Taylor,et al.  Supercontinuum Generation in Optical Fibers: Preface , 2010 .

[2]  S. Griffis EDITOR , 1997, Journal of Navigation.

[3]  J. Dudley,et al.  Supercontinuum generation in photonic crystal fiber , 2006 .

[4]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[5]  P. Russell,et al.  Endlessly single-mode photonic crystal fiber. , 1997, Optics letters.

[6]  Ayhan Demircan,et al.  Hamiltonian structure of propagation equations for ultrashort optical pulses , 2010 .

[7]  L. Cohen,et al.  Time-frequency distributions-a review , 1989, Proc. IEEE.

[8]  D. Kane,et al.  Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating , 1993 .

[9]  J. Clowes,et al.  Visibly “White” light generation in uniform photonic crystal fiber using a microchip laser , 2008, 2008 Conference on Lasers and Electro-Optics and 2008 Conference on Quantum Electronics and Laser Science.

[10]  D. Gabor Acoustical Quanta and the Theory of Hearing , 1947, Nature.

[11]  Cyrus D. Cantrell,et al.  Multiple-vibrational-mode model for fiber-optic Raman gain spectrum and response function , 2002 .

[12]  F. Omenetto,et al.  Interaction of an optical soliton with a dispersive wave. , 2005, Physical review letters.

[13]  Uwe Bandelow,et al.  Analysis of the interplay between soliton fission and modulation instability in supercontinuum generation , 2006 .

[14]  O. Melchert,et al.  Accurate propagation of ultrashort pulses in nonlinear waveguides using propagation models for the analytic signal , 2018, Optical Systems Design.

[15]  Xianglong Zeng,et al.  Understanding Soliton Spectral Tunneling as a Spectral Coupling Effect , 2013, IEEE Photonics Technology Letters.

[16]  John M. Dudley,et al.  Nonlinear fibre optics overview , 2010 .

[17]  Günter Steinmeyer,et al.  Adjustable pulse compression scheme for generation of few-cycle pulses in the midinfrared. , 2014, Optics letters.

[18]  T M Jedju,et al.  Subpicosecond time-resolved vibrational spectroscopy by transient infrared absorption. , 1988, Optics letters.

[19]  Guido Rossum,et al.  Python Reference Manual , 2000 .

[20]  Harald Giessen,et al.  XFROG—Cross-correlation Frequency-resolved Optical Gating , 2000 .

[21]  Leon Cohen,et al.  The marginals and time-frequency distributions , 2003, SPIE Optics + Photonics.

[22]  R. Trebino Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses , 2000 .

[23]  S. Marple Computing the discrete-time 'analytic' signal via FFT , 1997 .

[24]  Ayhan Demircan,et al.  Ultrashort Optical Pulse Propagation in terms of Analytic Signal , 2011 .

[25]  Eric Jones,et al.  SciPy: Open Source Scientific Tools for Python , 2001 .

[26]  A. A. Amorim,et al.  Sub-two-cycle pulses by soliton self-compression in highly nonlinear photonic crystal fibers. , 2009, Optics letters.

[27]  Rick Trebino,et al.  Cross-correlation frequency resolved optical gating analysis of broadband continuum generation in photonic crystal fiber: simulations and experiments. , 2002, Optics express.

[28]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[29]  D. Skryabin,et al.  Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.