Multistage Accelerating Beams

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Moti Fridman 1 , Alessandro Farsi 2 and Alexander L. Gaeta 2 1 School of Engineering, Bar Ilan University, Ramat Gan, 52900, Israel 2 School of Applied and Engineering Physics, Cornell University, Ithaca, NY 14853, USA Multistage Accelerating Beams

description

Multistage Accelerating Beams. Moti Fridman 1 , Alessandro Farsi 2 and Alexander L. Gaeta 2 1 School of Engineering, Bar Ilan University, Ramat Gan , 52900, Israel 2 School of Applied and Engineering Physics, Cornell University, Ithaca, NY 14853, USA. Caustics. - PowerPoint PPT Presentation

Transcript of Multistage Accelerating Beams

Page 1: Multistage Accelerating Beams

Moti Fridman1, Alessandro Farsi2 and Alexander L. Gaeta2

1School of Engineering, Bar Ilan University, Ramat Gan, 52900, Israel

2School of Applied and Engineering Physics, Cornell University, Ithaca, NY 14853, USA

Multistage Accelerating Beams

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CausticsMenaechmus  ~ 400 BC

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Accelerating beam of light

G. A. Siviloglou et. al. (2007)

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Accelerating beam in space

Input beam

Mask imposingcubic phase

Accelerating beam

Lens

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Accelerating beam of electrons

N. V. Bloch et. al. (2012)

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Akhmanov, Sukhorukov, and Chirkin, Sov. Phys. - JETP, 28, 748, (1969).Kolner, IEEE J. Quantum Electron. 30, 1951 (1994).

Optical processing based on time-space duality

Spatial diffraction Dispersive propagation

Spatial domain

Temporal domain

x

z

z

diffraction

dispersive broadening

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Imaging in space

• Imaging achieved by adding a quadratic phase to wavefront.

lensquadratic phase

shift in space

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Temporal imaging

• Imaging achieved by adding a quadratic phase to the signal.

quadratic phase shiftin time

dispersive elements

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Accelerating beam in timecubic phase shift in time and a lens

dispersion

0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5

200

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• Parametric mixing with a quadratic chirped pump

D

quadratic frequency shift

Quadratic dispersion

pumppulse

• Look for interaction that imparts quadratic phase shift.

Imposing cubic phase in time

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Imposing cubic phase in time

PumpDiffracting grating

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Reflecting stairs

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Accelerating beam in time

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Multistage accelerating beam

FWM

Stage 1

signal

idler

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Multistage accelerating beam

FWM

Stage 1

FWM

signal

idler

Idler #2

Stage 2

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Experimental setup

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Accelerating beam in time

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Multistage accelerating beam in time

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Conclusions

• Accelerating beam in time.• Multistage acceleration.• More complex dispersion relations.• Space-time equivalent can open a

rout for many more novel demonstrations.