Abstract
We analyze numerically optical waveguiding structures created in photorefractive media by two incoherent counter-propagating 1D Airy beams under nonlinear self-focusing conditions. We then inject a Gaussian probe beam to test our waveguiding structure. By using an anti-symmetric Airy beam configuration in stationary conditions, we find rich and complex waveguiding structures with multiple input to multiple output configurations and transverse input-to-output shifts up to 13 times the guided beam’s waist.
Highlights
In 1979, in the context of quantum mechanics, Berry and Balazs predicted a new solution to the Schrodinger equation [1], the Airy wave packets
To studies with two co-propagating Airy beams, two counter-propagating Airy beams in a saturable nonlinear media will shed off-shooting solitons given enough nonlinearity strength [22], the off-shooting solitons tend to be attracted by the lobes of the counter-propagating Airy beam [23]
Waveguiding possibilities in the case of counter-propagating Airy beams have been studied in a symmetric configuration [22], but to our knowledge no study exists on an anti-symmetric configuration
Summary
In 1979, in the context of quantum mechanics, Berry and Balazs predicted a new solution to the Schrodinger equation [1], the Airy wave packets. By contrast to studies with two co-propagating Airy beams, a counter-propagating configuration combined with the large transverse dimension of the Airy shape and their curved trajectory allow several interaction schemes where one or several lobes of the counter-propagating beams can overlap [10, 22, 23]. The interaction of such counter-propagating Airy beams introduce new dynamics and open new interesting fields for optical interconnections. Shifts up to 13 times the guided beam’s waist
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