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Summary: Control of free space propagation of Airy beams generated by quadratic
nonlinear photonic crystals
Ido Dolev,a
Tal Ellenbogen,b
Noa Voloch-Bloch,c
and Ady Aried
Department of Physical Electronics, Fleischman Faculty of Engineering, Tel-Aviv University,
Tel-Aviv 69978, Israel
Received 18 October 2009; accepted 21 October 2009; published online 20 November 2009
We present experimentally the control of free space propagation of an Airy beam. This beam is
generated by a nonlinear wave mixing process in an asymmetrically poled nonlinear photonic
crystal. Changing the quasi-phase matching conditions, e.g., the crystal temperature or pump
wavelength, alters the location of the Airy beam peak intensity along the same curved trajectory. We
explain that the variation in the beam shape is caused by noncollinear interactions. Owing to the
highly asymmetric shape of nonlinear crystal in the Fourier space, these noncollinear interactions
are still relatively efficient for positive nonzero phase mismatch. © 2009 American Institute of
Physics. doi:10.1063/1.3266066
It was shown in 1979 by Berry and Balazs1
that the free
particle Schrödinger equation has a nonspreading Airy wave
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