We propose a 2-dimensional method for Bessel Gaussian beam azimuthal and radial decomposition using digital holograms. We illustrate the reconstruction of a Bessel Gaussian beam after encountering an obstruction. From the measured decomposition we show the reconstruction of the amplitude, phase and azimuthal index of the field with high degree of accuracy.
As in the case of zero-order Bessel beam being produced by illuminating an axicon with a Gaussian beam, higher-order
Bessel beams are generated by substituting the Gaussian beam with a Laguerre Gaussian (LG) beam. These beams hold
similar properties to zero-order Bessel beams except they carry orbital angular momentum (OAM). They also undergo an
abrupt spatial transformation at the boundary of their non-diffracting regime whereby the near-field intensity distribution
is a Bessel function which transforms into an annular ring (far-field profile). This can be considered a disadvantage to
such beams in comparison to a Gaussian beam that is propagation invariant. By using a double axicon lens system this
Bessel beams with z-dependent cone angles can be produced however at the expense of its non-diffracting nature. Here
we outline an optical design to produce higher-order Bessel-like beams with z-dependent cone angles that will retains its
spatial distribution as z→∞.
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