Based on Thom’s elliptic umbilical singularity, we design pivotal phase-only masks to generate accelerating regular polygon beams. By using the diffractive phase grey-scale map written onto a spatial light modulator, we experimentally obtain optical regular accelerating triple-cusp beams and quinary-cusp beams. Their optical propagation characteristics are investigated subsequently. It will provide useful information for their future potential applications.
Since the zeroth-order Bessel and Airy function are invariant propagation modes in free space, they can be potentially
used not only in time but also in space. Different from nonlinear solitary wave, Airy-Bessel configuration wave packets
with particle-like nature are a kind of stable linear wave packets without spatio-temporal spread during propagation in
free space because it combine spatial Bessel beams with temporal Airy pulses. In the paper, by studying spatially
induced group velocity dispersion effect during propagation of ultrashort pulsed Bessel beams, we find that Gaussian-
Bessel wave packets can evolve as Airy-Bessel in given propagation conditions. The research results are expected to
open up one new channel to generate stable linear localized wave packets.
The transfer property of light in the fiber based on the total reflection on the interface between core and cladding of fiber.
But at the interface of total reflection, incident light spot and reflect light spot are not the same, and there is a small
lateral shift between them, this is Gause-hasen displacement. But in the traditional optical waveguide theory, the effect
of Gause-hasen displacement on dispersion were totally neglected. Considering the effect of Gause-hasen displacement,
the expression of the time delay is presented. The theoretical results show that time delay distortion is a cause of the
optical pulse dispersion, and Gause-hasen displacement really cause the dispersion of optical pulse. In the past, scientists
only consider the effect of model dispersion, waveguide dispersion, material dispersion and polarization mode
dispersion. Now, we must consider the effect from Gause-hasen displacement while we study the dispersion. In other
words, the traditional research on the optical waveguide theory ignore the effect of the Gause-hasen displacement, which
must induce an error. So we must pay more attention to this important problem in the future when the light transmitting
in a fiber is studied.
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