Dispersive Fourier transformation for fast continuous single-shot measurements

Goda, Keisuke; Jalali, Bahram

doi:10.1038/nphoton.2012.359

Cited by 773 publications

(383 citation statements)

References 94 publications

Supporting

Mentioning

377

Contrasting

Unclassified

Order By: Relevance

“…3c). Note that upon further propagation, the temporal pattern will become a scaled replica of the optical spectrum [29]. The present results of temporal and intensity spectral profiles do not depend on the regime of propagation in the fiber (normal or anomalous).…”

Section: Young's Double Slitssupporting

confidence: 48%

Two-wave interferences space-time duality: Young slits, Fresnel biprism and Billet bilens

Chaussard

Rigneault

Finot

2017

Optics Communications

View full text Add to dashboard Cite

Taking advantage of the analogy that can be drawn between the spatial and temporal propagations, we explore two-wave temporal interference in textbook cases such as Young's double slits, Fresnel's biprism and Billet's bilens. We illustrate our approach by numerical simulations for short pulses propagating in dispersive optical fibers with parameters typical of those found in modern optical telecommunications.

show abstract

Section: Young's Double Slitssupporting

confidence: 48%

Two-wave interferences space-time duality: Young slits, Fresnel biprism and Billet bilens

Chaussard

Rigneault

Finot

2017

Optics Communications

View full text Add to dashboard Cite

show abstract

“…Since the work of Solli et al spectral filters are therefore often used to reveal extreme events in time-domain experiments [5,10,17]. In addition to these filtering techniques, shot-to-shot spectrum fluctuations can be evidenced with a dispersive Fourier transform measurement in experiments of pulsed supercontinuum generation [5,[37][38][39]. Measuring in an accurate and a well-calibrated way the probability density function (PDF) characterizing temporal fluctuations of the power of random light is still a challenging task in the field of nonlinear statistical optics.…”

mentioning

confidence: 99%

Optical Rogue Waves in Integrable Turbulence

2015

View full text Add to dashboard Cite

We report optical fiber experiments allowing to investigate integrable turbulence in the focusing regime of the one dimensional nonlinear Schrödinger equation (1D-NLSE). Our experiments are very similar in their principle to water tank experiments with random initial conditions (see M. Onorato et al. Phys. Rev. E 70 067302 (2004)). Using an original optical sampling setup, we measure precisely the probability density function (PDF) of optical power of partially coherent waves rapidly fluctuating with time. The PDF is found to evolve from the normal law to a strong heavy-tailed distribution, thus revealing the formation of rogue waves in integrable turbulence. Numerical simulations of 1D-NLSE with stochastic initial conditions reproduce quantitatively the experiments. Our investigations suggest that the statistical features experimentally observed rely on the stochastic generation of coherent analytic solutions of 1D-NLSE such as Peregrine solitons.The field of nonlinear optics has recently grown as a favorable laboratory to investigate both statistical properties of nonlinear random waves and hydrodynamic-like phenomena [1][2][3]. In particular, several recent works point out analogies between hydrodynamics and nonlinear fiber optics in the observation of supercontinuum generation [4], undular bores [2], optical turbulence, laminarturbulent transition [1] or oceanographic rogue waves (RW) [5,6].Rogue waves (RW), also called freak waves, are extremely large amplitude waves occurring more frequently than expected from the normal law [7,8] As stressed out in the recent review [6], there is no obvious analogy between most of the optical experiments on extreme events and oceanography. However a direct correspondence between nonlinear optics and hydrodynamics is provided by the one-dimensional nonlinear Schrödinger equation (1D-NLSE) (see Eq. (1)) that describes various wave systems [6,18]. In particular, the focusing 1D-NLSE describes at leading order the physics of deep-water wave trains and it plays a central role in the study of RW [6-8, 18, 19].Modulational instability (MI) is believed to be a fundamental mechanism for the formation of RW [8,20]. Moreover, analytical solutions of the integrable 1D-NLSE such a Akhmediev breathers (AB), Peregrine solitons or Kuznetsov-Ma solitons (KMs) are now considered as possible prototypes of RW [19,[21][22][23]. These coherent structures have been generated from very specific, carefullydesigned coherent initial conditions in optical fiber experiments [21,23,24].On the contrary, oceanic RW emerge from the interplay of incoherent waves in turbulent systems. The occurrence of RW in wave turbulence has been theoretically studied in optics [25,26] and in hydrodynamics [27]. In hydrodynamical experiments made with one-dimensional water tanks, non gaussian statistics of the wave height has been found to emerge from random initial conditions [20,28].The appropriate theoretical framework combining a statistical approach of random waves together with the 1D-NLSE is integrable turbulence...

show abstract

“…Swept source OCT (SS-OCT), another variant of SD-OCT has been demonstrated, which has achieved MHz scanning rate by rapidly sweeping the optical wavelengths across a broad bandwidth. The wavelength sweeping speed is further improved by photonic time stretch (PTS) method 4 . PTS-OCT has enabled detection of transient and fast changing dynamics 5 with an unprecedented A-scan rate of 90 MHz.…”

Section: Introductionmentioning

confidence: 99%

Photonic compressive sensing enabled data efficient time stretch optical coherence tomography

Mididoddi

Wang

2018

2nd Canterbury Conference on OCT With Emphasis on Broadband Optical Sources

View full text Add to dashboard Cite

Photonic time stretch (PTS) has enabled real time spectral domain optical coherence tomography (OCT). However, this method generates a torrent of massive data at GHz stream rate, which requires capturing as per Nyquist principle. If the OCT interferogram signal is sparse in Fourier domain, which is always true for samples with limited number of layers, it can be captured at lower (sub-Nyquist) acquisition rate as per compressive sensing method. In this work we report a data compressed PTS-OCT system based on photonic compressive sensing with 66% compression with low acquisition rate of 50MHz and measurement speed of 1.51MHz per depth profile. A new method has also been proposed to improve the system with all-optical random pattern generation, which completely avoids electronic bottleneck in traditional binary pseudorandom binary sequence (PRBS) generators.

show abstract

Dispersive Fourier transformation for fast continuous single-shot measurements

Cited by 773 publications

References 94 publications

Two-wave interferences space-time duality: Young slits, Fresnel biprism and Billet bilens

Two-wave interferences space-time duality: Young slits, Fresnel biprism and Billet bilens

Optical Rogue Waves in Integrable Turbulence

Photonic compressive sensing enabled data efficient time stretch optical coherence tomography

Contact Info

Product

Resources

About