https://opg.optica.org/ViewMedia.cfm?r= ... 2A.1&seq=0
I thought this was interesting. Non-linear CGH can alter the phase and amplitude of a Gaussian beam. From the paper:
"Specifically, nonlinear CGH were recently used to convert a fundamental Gaussian beam into high order
Hermite-Gauss or Laguerre-Gauss beam at the second harmonic [1-4].
 A. Shapira, I. Juwiler and A. Arie, Opt. Lett. 36, 3015 (2011)
 N. Voloch-Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
 A. Shapira, R. Shiloh, I. Juwiler and A. Arie, Opt. Lett. 37, 2136 (2012).
 A. Shapira, I. Juwiler and A. Arie, Lasers and Photonics Reviews 7, L25 (2013)."
As some of you might know, Laguerre-Gauss beams carry angular momentum, and can, therefore, cause particles to rotate, hence these beams are called "optical vortices". They're not easy to produce, but now a computer generated hologram can produce them.
Holography related topics.
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