Synthesis of crafted optical pulses by time domain modulation in a fiber-grating compressor

Haner, M.; Warren, W. S.

doi:10.1063/1.99097

Cited by 78 publications

(17 citation statements)

References 12 publications

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“…In this letter, a more detailed investigation of the technique is performed. A basic TPS system usually consists of a pair of complementary dispersive elements and the output signal is the Fourier transform of the input microwave signal [10], [11]. In the proposed system, an electrical signal to be analyzed is applied to a Mach-Zehnder modulator (MZM) to modulate the optical spectrum of a time-stretched optical pulse from a mode-locked laser (MLL).…”

Section: Introductionmentioning

confidence: 99%

Ultrafast All-Optical Wavelet Transform Based on Temporal Pulse Shaping Incorporating a 2-D Array of Cascaded Linearly Chirped Fiber Bragg Gratings

Yao

2012

IEEE Photon. Technol. Lett.

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An all-optical wavelet transformer used to analyze a high-speed and broadband electrical signal is proposed and demonstrated for the first time to our knowledge. The wavelet transform is implemented based on a temporal pulse shaping system incorporating a 2-D array of cascaded linearly chirped fiber Bragg gratings (LCFBGs). An electrical signal to be analyzed is applied to a Mach-Zehnder modulator to modulate the optical spectrum of a time-stretched optical pulse from a mode-locked laser. Each individual LCFBG in the 2-D array functions as a wavelet filter to filter a specific range of the spectrum, which is equivalent to applying a window function to the corresponding section of the temporal signal, and at the same time, as a dispersive element to perform real-time Fourier transform. A Mexican Hat wavelet is employed to implement the optical wavelet transform, which can be achieved based on a specially designed LCFBG. A theoretical analysis is performed which is verified by a proof-of-concept experiment. The key feature of this technique is that it can perform multiresolution time-frequency analysis of an ultrahigh-speed electrical signal, which can give good time resolution for high-speed signals, and good frequency resolution for low-speed signals.Index Terms-Linearly chirped fiber Bragg grating, photonic-assisted microwave signal processing, wavelet transform.

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Section: Introductionmentioning

confidence: 99%

Ultrafast All-Optical Wavelet Transform Based on Temporal Pulse Shaping Incorporating a 2-D Array of Cascaded Linearly Chirped Fiber Bragg Gratings

Yao

2012

IEEE Photon. Technol. Lett.

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“…AQr Q, -WOO << 000(50) Substituting eqs 43 and 49 into eq 39, and invoking the rotating wave a p p r o x i m a t i~n~~,~~ (RWA) by neglecting the contributions from the integration of highly oscillatory integrands, we obtain A(')(t,) = 2 R e~" d~~~~* d The second identity in the above equation is obtained by extending to to -* and changing the integration variables as follows: t2 = Optimizing e(?) reduces now to optimizing E(t), which can be represented by a time grid with a much larger step size, since we have removed the high-frequency component.…”

mentioning

confidence: 98%

Optical control of molecular dynamics: Liouville-space theory

Yan¹,

Gillilan²,

Whitnell³

et al. 1993

J. Phys. Chem.

171

119

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We lay some theoretical foundations to deal with the experimental realities faced in controlling molecular dynamics with tailored light fields: the nonideality of the light, the mixed rather than pure quantum-state nature of matter, and environmental and solvent effects. The optimal control of molecular dynamics using light fields is formulated in terms of the density matrix in Liouville space, generalizing existing wave-function-based formulations. This formulation allows the inclusion of mixed states, so that thermal and other nonpure quantum states of matter can be treated, as well as reduced descriptions useful in studying dense gas and condensed phases. In addition, it allows for general constraints and arbitrary coherent and partially coherent radiation fields and provides a unified picture for quantum, semiclassical, and classical molecular dynamics. For weak fields, the calculation simplifies and is given in terms of a molecular response function which itself does not depend upon the field. The solution of an eigenequation then directly gives the globally optimal field and the yield with respect to the target. As a demonstration, we explicitly consider a two electronic surface displaced harmonic oscillator molecular system in a Brownian oscillator solvent at finite temperatures, including nuclear and electronic solvation effects. Numerical illustrations are presented for the quantum control of thermal samples using phase-locked and random-phase light fields in the presence of solvent.

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“…Applications include coherent control of energy transfer in molecules, 1 selective Raman spectroscopy and microscopy, 2,3 separation and detection of isotopes and molecules, 4 probing of femtosecond structural dynamics of macromolecules 5,6 and coherent laser control of physicochemical processes. [7][8][9][10] Recently, methods based on holographic patterns 11 have been investigated as well as modulator based shapers with electro-optic, 12 acousto-optic, 13 or liquid-crystal spatial light modulators ͑SLM͒. [14][15][16] In the latter method the modulator is placed in the Fourier plane of the dispersed spectrum.…”

Section: Introductionmentioning

confidence: 99%

Compact high-resolution spectral phase shaper

Postma

Walle

Offerhaus

et al. 2005

Review of Scientific Instruments

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The design and operation of a high-resolution spectral phase shaper with a footprint of only 7 ϫ 10 cm 2 is presented. The liquid-crystal modulator has 4096 elements. More than 600 independent degrees of freedom can be positioned with a relative accuracy of 1 pixel. The spectral shaping of pulses from a broadband Ti:sapphire laser is verified by a hybrid cross-frequency-resolved optical gating/Grenouille measurement and intensity autocorrelation. We demonstrate the ability to split one pulse into two or more pulses with a programmable delay of more than 8.5 ps. To our knowledge this represents the most compact high resolution device in liquid-crystal modulator-based shaping to this date.

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Synthesis of crafted optical pulses by time domain modulation in a fiber-grating compressor

Cited by 78 publications

References 12 publications

Ultrafast All-Optical Wavelet Transform Based on Temporal Pulse Shaping Incorporating a 2-D Array of Cascaded Linearly Chirped Fiber Bragg Gratings

Ultrafast All-Optical Wavelet Transform Based on Temporal Pulse Shaping Incorporating a 2-D Array of Cascaded Linearly Chirped Fiber Bragg Gratings

Optical control of molecular dynamics: Liouville-space theory

Compact high-resolution spectral phase shaper

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