Noiseless intensity amplification of repetitive signals by coherent addition using the temporal Talbot effect

Maram, Reza; Howe, James van; Li, Ming; Azaña, José

doi:10.1038/ncomms6163

Cited by 74 publications

(56 citation statements)

References 31 publications

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“…1(b), the modulation of the temporal phase produces a frequency chirp and in a second stage, a dispersive element that can be a linear optical fiber segment, a fiber Bragg grating [22], a pair of diffraction gratings [23] or a programmable spectral filter [24] imprints a quadratic spectral phase that temporally redistribute and concentrate the energy of the SUT in the central points. Consequently, the resulting signal is sampled at the frequency of the modulation and the peak power at these points is proportional to the initial waveform which is subsequently magnified in a noiseless process [25]. Note that in contrast to our preceding work published in ref.…”

Section: Principle Of Operation and Design Rulesmentioning

confidence: 89%

Linear sampling and magnification technique based on phase modulators and dispersive elements: The temporal lenticular lens

Nuño

Finot

Fatome

2017

Optical Fiber Technology

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In this work, we exploit the space/time duality in optics to implement a temporal lenticular lens allowing to simultaneously sample and magnify an arbitrary-shaped optical signal. More specifically, by applying a sinusoidal phase-modulation, the signal under test is propagated through a discrete dispersive element that samples and magnifies its initial waveform. Thanks to this temporal lenticular lens, optical sampling associated to a magnification factor of 3.6 is experimentally demonstrated at a repetition rate of 10 GHz.

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Section: Principle Of Operation and Design Rulesmentioning

confidence: 89%

Linear sampling and magnification technique based on phase modulators and dispersive elements: The temporal lenticular lens

Nuño

Finot

Fatome

2017

Optical Fiber Technology

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“…In particular, an important set of these techniques is based on the theory of Talbot self‐imaging . Such methods have been developed to achieve multiplication and/or division of the repetition period of pulse trains by arbitrary (integer or fractional) factors, as well as arbitrary control of the FSR of frequency combs .…”

Section: Control Of the Periodicity Of Repetitive Signalsmentioning

confidence: 99%

“…The methodology outlined here allows for arbitrary control of the repetition period of a pulse train, where the FSR of its frequency comb representation is related to the achieved pulse period (the obtained FSR is the exact inverse of the obtained pulse period). Pulse period control techniques proposed to date based on this methodology only deal with temporal period control; consequently, they end with step 3 (Figure (a.3)) for fractional pulse period multiplication/division, or step 2 (Figure (a.2)) for integer pulse period multiplication (see Section ) . Step 4 (TPM 2 , Figure (a.4)) is only necessary if one wishes to obtain an output pulse train free of pulse‐to‐pulse phase variations and/or to control the comb FSR accordingly.…”

Section: Phase‐controlled Talbot Effectsmentioning

confidence: 99%

“…A distinctive feature of temporal and spectral Talbot effects is that they enable manipulation of the repetition rate of an incoming pulse train or the FSR of its corresponding frequency comb spectrum without altering the individual temporal pulse characteristics (i.e., the pulse's complex temporal envelope, including shape and duration) and the spectral envelope of the corresponding frequency comb. Moreover, techniques based on such methodology have been proposed to manipulate the repetition period of pulse trains and frequency combs at will, not limited to integer division . As illustrated in Figure b, these methods involve specific combinations of SPF and TPM operations corresponding to concatenated individual realizations of temporal and spectral Talbot effects.…”

Section: Introductionmentioning

confidence: 99%

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Arbitrary Energy‐Preserving Control of Optical Pulse Trains and Frequency Combs through Generalized Talbot Effects

Cortés

Maram

Chatellus

et al. 2019

Laser & Photonics Reviews

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Trains of optical pulses and optical‐frequency combs are periodic waveforms with deep implications for a wide range of scientific disciplines and technological applications. Recently, phase‐only signal‐processing techniques based upon the theory of Talbot self‐imaging have been demonstrated as simple and practical means for user‐defined periodicity control of optical pulse trains and combs. The resulting schemes implement a desired repetition period control without introducing any noise or distortion, while ideally preserving the entire energy content of the signal. Here, recent developments on phase‐only signal‐processing schemes for periodicity control based on temporal and spectral self‐imaging are reviewed. As a central contribution, a comprehensive theory of generalized Talbot self‐imaging, so called phase‐controlled Talbot effect, is presented, comprising all the different approaches proposed to date. In particular, a closed unified mathematical framework for the design of the spectral and temporal phase manipulations that enable full arbitrary control of the period of repetitive signals is developed. The reported numerical studies fully validate the presented theoretical framework and shed light on crucial aspects of the proposed methods, consistently with previously reported experimental results. Important considerations concerning the practical, real‐world implementation of the described schemes, according to the needed specifications for different applications, are also discussed.

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“…However, it is noteworthy that most of these techniques lead to an inherent degradation of the signal-to-noise ratio induced by the detrimental spontaneous emission of photons. More recently, Azaña and coworkers have suggested and experimentally validated a different scenario in which a linear redistribution of energy into a periodic pulse train through the selfimaging Talbot effect can lead to a noiseless amplification process 15 . In this manuscript, we propose an alternative nonlinear approach enabling to simultaneously sample and magnify an arbitrary shaped incident signal due to a focusing effect occurring in a normally dispersive medium through the cross-phase modulation induced by an orthogonally polarized high-repetition-rate sinusoidal pump beam.…”

mentioning

confidence: 99%

All-optical sampling and magnification based on XPM-induced focusing

Nuño¹,

Gilles²,

Guasoni³

et al. 2016

Opt. Express

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We theoretically and experimentally investigate the design of an all-optical noiseless magnification and sampling function free from any active gain medium and associated high-power continuous wave pump source. The proposed technique is based on the co-propagation of an arbitrary shaped signal together with an orthogonally polarized intense fast sinusoidal beating within a normally dispersive optical fiber. Basically, the strong nonlinear phase shift induced by the sinusoidal pump beam on the orthogonal weak signal through cross-phase modulation turns the defocusing regime into localized temporal focusing effects.This periodic focusing is then responsible for the generation of a high-repetition-rate temporal comb upon the incident signal whose amplitude is directly proportional to its initial shape. This internal redistribution of energy leads to a simultaneous sampling and magnification of the signal intensity profile. This process allows us to experimentally demonstrate a 40-GHz sampling operation as well as an 8-dB magnification of an arbitrary shaped nanosecond signal around 1550 nm in a 5-km long normally dispersive fiber. The experimental observations are in quantitative agreement with numerical and theoretical analysis.In modern photonic systems, the sampling process has widespread applications in the fields of optical communications, metrology, clocking, sensing, spectral comb or arbitrary waveform generation.In this context, nonlinear effects have been demonstrated as potential key technologies to develop alloptical sampling devices [1][2][3][4][5][6][7][8][9][10][11][12][13][14] . In most of these techniques, an ultrashort pulse train acts as an optical gate and the basic physical phenomena under use include four-wave mixing (FWM) 10 , cross-phase modulation (XPM) 11 , nonlinear polarization rotation 13 and Raman soliton self-frequency shifting 14 . On the other hand, signal amplification is also a critical function in many area of physics. Basically, optical amplification process refers to multiply an incident signal by increasing its global energy through an active gain medium pumped by an external pump beam. The large range of current and mature amplification techniques at telecommunication wavelengths involves Erbium doped fiber amplifiers, Raman-based amplifiers,

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Noiseless intensity amplification of repetitive signals by coherent addition using the temporal Talbot effect

Cited by 74 publications

References 31 publications

Linear sampling and magnification technique based on phase modulators and dispersive elements: The temporal lenticular lens

Linear sampling and magnification technique based on phase modulators and dispersive elements: The temporal lenticular lens

Arbitrary Energy‐Preserving Control of Optical Pulse Trains and Frequency Combs through Generalized Talbot Effects

All-optical sampling and magnification based on XPM-induced focusing

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