Lossless fractional repetition-rate multiplication of optical pulse trains

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

doi:10.1364/ol.40.000375

Cited by 15 publications

(19 citation statements)

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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%

“…This is the form of an ideal temporal Talbot phase, that is, flat within each individual pulse. These phase sequences can be generated electronically and introduced to the train of pulses through electro‐optical phase modulation . The limiting factor in this implementation is the available electronic bandwidth for arbitrary waveform generation (typically in the range of tens of GHz).…”

Section: Phase‐controlled Talbot Effectsmentioning

confidence: 99%

“…Several methods for pulse repetition rate and comb FSR control based on the theory outlined in this paper have been proposed in the last few years . As described above, these involve a combination of specifically designed TPM and SPF operations; however, they generally end with step 3 of the complete methodology described in Section .…”

Section: Review Of Experimental Work On Energy‐preserving Signal Procmentioning

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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Section: Control Of the Periodicity Of Repetitive Signalsmentioning

confidence: 99%

Section: Phase‐controlled Talbot Effectsmentioning

confidence: 99%

Section: Phase‐controlled Talbot Effectsmentioning

confidence: 99%

Section: Review Of Experimental Work On Energy‐preserving Signal Procmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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3.5-GHz intra-burst repetition rate ultrafast Yb-doped fiber laser

Kerse

Kalaycıoğlu

Elahi

et al. 2016

Optics Communications

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We report on an all-fiber Yb laser amplifier system with an intra-burst repetition rate of 3.5 GHz. The system is able to produce minimum of 15-ns long bursts containing approximately 50 pulses with a total energy of μ 215 J at a burst repetition rate of 1 kHz. The individual pulses are compressed down to the subpicosecond level. The seed signal from a 108 MHz fiber oscillator is converted to approximately 3.5 GHz by a multiplier consisting of six cascaded 50/50 couplers, and then amplified in ten stages. The highly cascaded amplification suppresses amplified spontaneous emission at low repetition rates. Nonlinear interactions between overlapping pulses within a burst is also discussed.

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Characteristics and stability of soliton crystals in optical fibres for the purpose of optical frequency comb generation

Zajnulina

Böhm

Blow

et al. 2017

Optics Communications

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We study the properties of a soliton crystal, an bound state of several optical pulses that propagate with a fixed temporal separation through the optical fibres of the proposed approach for generation of optical frequency combs (OFC) for astronomical spectrograph calibration. This approach -also being suitable for subpicosecond pulse generation for other applications -consists of a conventional single-mode fibre and a suitably pumped Erbium-doped fibre. Two continuous-wave lasers are used as light source. The soliton crystal arises out of the initial deeply modulated laser field at low input powers; for higher input powers, it dissolves into free solitons. We study the soliton crystal build-up in the first fibre stage with respect to different fibre parameters (group-velocity dispersion, nonlinearity, and optical losses) and to the light source characteristics (laser frequency separation and intensity difference). We show that the soliton crystal can be described by two quantities, its fundamental frequency and the laser power-threshold at which the crystal dissolves into free solitons. The soliton crystal exhibits features of a linear and nonlinear optical pattern at the same time and is insensitive to the initial laser power fluctuations. We perform our studies using the numerical technique called Soliton Radiation Beat Analysis.

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Lossless fractional repetition-rate multiplication of optical pulse trains

Cited by 15 publications

References 9 publications

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

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

3.5-GHz intra-burst repetition rate ultrafast Yb-doped fiber laser

Characteristics and stability of soliton crystals in optical fibres for the purpose of optical frequency comb generation

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