Role of beam waist in Laguerre-Gauss expansion of vortex beams.

@article{Vallone2017RoleOB,
  title={Role of beam waist in Laguerre-Gauss expansion of vortex beams.},
  author={Giuseppe Vallone},
  journal={Optics letters},
  year={2017},
  volume={42 6},
  pages={
          1097-1100
        }
}
Laguerre-Gauss (LG) modes represent an orthonormal basis set of solutions of the paraxial wave equation. LG modes are characterized by two integer parameters n and ℓ that are related to the radial and azimuthal profile of the beam. The physical dimension of the mode is instead determined by the beam waist parameter w0: only LG modes with the same w0 satisfy the orthogonality relation. Here, we derive the scalar product between two LG modes with different beam waists and show how this result can… CONTINUE READING

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