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Multistage Accelerating Beams

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.

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Multistage Accelerating Beams

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  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

  2. Caustics Menaechmus  ~ 400 BC

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

  4. Accelerating beam in space Mask imposing cubic phase Input beam Lens Accelerating beam

  5. Accelerating beam of electrons N. V. Bloch et. al. (2012)

  6. Optical processing based on time-space duality Spatial domain x z z diffraction Temporal domain dispersive broadening Spatial diffraction  Dispersive propagation Akhmanov, Sukhorukov, and Chirkin, Sov. Phys. - JETP, 28, 748, (1969). Kolner, IEEE J. Quantum Electron. 30, 1951 (1994).

  7. Imaging in space lens quadratic phase shift in space • Imaging achieved by adding a quadratic phase to wavefront.

  8. Temporal imaging dispersive elements quadratic phase shift in time • Imaging achieved by adding a quadratic phase to the signal.

  9. Accelerating beam in time cubic phase shift in time and a lens dispersion

  10. Imposing cubic phase in time • Look for interaction that imparts quadratic phase shift. • Parametric mixing with a quadratic chirped pump D Quadratic dispersion quadratic frequency shift pump pulse

  11. Imposing cubic phase in time Pump Diffracting grating

  12. Reflecting stairs

  13. Accelerating beam in time

  14. Multistage accelerating beam Stage 1 idler signal FWM

  15. Multistage accelerating beam Stage 2 Stage 1 Idler #2 idler signal FWM FWM

  16. Experimental setup

  17. Accelerating beam in time

  18. Multistage accelerating beam in time

  19. Conclusions • Accelerating beam in time. • Multistage acceleration. • More complex dispersion relations. • Space-time equivalent can open a rout for many more novel demonstrations.

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