We generalize the concept of diffraction free beams to parabolic scaling beams
(PSBs), whose normalized intensity scales parabolically during propagation.
These beams are nondiffracting in the circular parabolic coordinate systems, and
all the diffraction free beams of Durnin’s type have counterparts as
PSBs. Parabolic scaling Bessel beams with Gaussian apodization are investigated
in detail, their nonparaxial extrapolations are derived, and experimental
results agree well with theoretical predictions.
© 2014 Optical Society of America
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