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Diagonal relations between elegant Hermite-Gaussian and Laguerre-Gaussian beam fields

Pagani Y., Nasalski W.

Opto-Electronics Review

2005

Vol. 13, No. 1

51--60

Standard Hermite-Gaussian and standard Laguerre-Gaussian diagonal beams can be expressed by similar summation of non-diagonal standard Hermite-Gaussian beams with expansion coefficients that are equal in magnitude in both cases. We show theoretically and numerically that the same relations hold also for elegant Hermite-Gaussian beams and elegant Laguerre-Gaussian beams. On the other hand, our theoretical estimations and numerical simulations show substantial differences between standard and elegant beams in their phase transverse distribution and evolution of this distribution during beam propagation.

Creation and diagnostics of stable rainbow optical vortices

Arkhelyuk O. O., Polyanskii P. V., Ivanovskii A. A., Soskin M. S.

Optica Applicata

2004

Vol. 34, nr 3

419-426

An on-axis computer-synthesized hologram-based technique is introduced to create white-light “rainbow” optical vortices, which are stable with respect to environmental disturbances under long-distance propagation of singularity supporting beams. Regularities governing the radial alternation of colors at highly directed rainbow vortices are discussed. The original diffraction technique for detecting phase singularities is applied to reveal and diagnose the polychromatic vortices

Referenceless testing of vortex optical beams

Bogatiryova H. V., Felde C. V., Polyanskii P. V.

Optica Applicata

2003

Vol. 33, nr 4

695-708

A new simple technique for determining the phase handedness (clockwise or counterclockwise) of vortex optical beams, which does not require implementation of an interferometric arrangement, is introduced. It is shown that both the phase handedness and the modulus of an azimuthal mode index of the beam can be directly and unambiguously determined on the basis of bending of interference fringes in a “strip” Young’s interference experiment. The initial results are obtained by simulation, partially demonstrated and discussed. Applicability of the proposed technique to testing elementary and complex vortex-bearing optical beams and fields is discussed