Abstract
We introduce an analytical procedure to construct an optical beam with an
arbitrary value of orbital-angular momentum (OAM) by keeping the flexibility of
shaping its transverse intensity distribution without changing its OAM. We apply
the general theory of fractional differential operators in Fourier domain to
derive general expressions for the OAM content in the beam and find the relevant
parameters that determine its OAM value and those that can be freely modified
without affecting it.
© 2015 Optical Society of America
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