Moti Fridman 1, Alessandro Farsi 2 and Alexander L. Gaeta 2 1 School of Engineering, Bar Ilan...
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Transcript of Moti Fridman 1, Alessandro Farsi 2 and Alexander L. Gaeta 2 1 School of Engineering, Bar Ilan...
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
CausticsMenaechmus ~ 400 BC
Accelerating beam of light
G. A. Siviloglou et. al. (2007)
Accelerating beam in space
Input beam
Mask imposingcubic phase
Accelerating beam
Lens
Accelerating beam of electrons
N. V. Bloch et. al. (2012)
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
Imaging in space
• Imaging achieved by adding a quadratic phase to wavefront.
lensquadratic phase
shift in space
Temporal imaging
• Imaging achieved by adding a quadratic phase to the signal.
quadratic phase shiftin time
dispersive elements
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
• 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
Imposing cubic phase in time
PumpDiffracting grating
Reflecting stairs
Accelerating beam in time
Multistage accelerating beam
FWM
Stage 1
signal
idler
Multistage accelerating beam
FWM
Stage 1
FWM
signal
idler
Idler #2
Stage 2
Experimental setup
Accelerating beam in time
Multistage accelerating beam in time
Conclusions
• Accelerating beam in time.• Multistage acceleration.• More complex dispersion relations.• Space-time equivalent can open a
rout for many more novel demonstrations.