Moti Fridman 1, Alessandro Farsi 2 and Alexander L. Gaeta 2 1 School of Engineering, Bar Ilan...

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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

Accelerating beam of light G. A. Siviloglou et. al. (2007)

Transcript of Moti Fridman 1, Alessandro Farsi 2 and Alexander L. Gaeta 2 1 School of Engineering, Bar Ilan...

Page 1: 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.

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

Page 2: 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.

CausticsMenaechmus  ~ 400 BC

Page 3: 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.

Accelerating beam of light

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

Page 4: 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.

Accelerating beam in space

Input beam

Mask imposingcubic phase

Accelerating beam

Lens

Page 5: 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.

Accelerating beam of electrons

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

Page 6: 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.

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

Page 7: 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.

Imaging in space

• Imaging achieved by adding a quadratic phase to wavefront.

lensquadratic phase

shift in space

Page 8: 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.

Temporal imaging

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

quadratic phase shiftin time

dispersive elements

Page 9: 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.

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

400

600

800

1000

1200

1400

1600

1800

2000

Page 10: 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.

• 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

Page 11: 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.

Imposing cubic phase in time

PumpDiffracting grating

Page 12: 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.

Reflecting stairs

Page 13: 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.

Accelerating beam in time

Page 14: 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.

Multistage accelerating beam

FWM

Stage 1

signal

idler

Page 15: 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.

Multistage accelerating beam

FWM

Stage 1

FWM

signal

idler

Idler #2

Stage 2

Page 16: 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.

Experimental setup

Page 17: 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.

Accelerating beam in time

Page 18: 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.

Multistage accelerating beam in time

Page 19: 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.

Conclusions

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

rout for many more novel demonstrations.