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Light states evolution versus their fractional orbital angular momentum (OAM)has been analyzed in the conical diffraction process occurring through biaxialcrystals. Experimental results are provided by a non-degenerate cascade ofKGd(WO$_2$)$_4$ and Bi$_2$ZnOB$_2$O$_6$ biaxial crystals. The continuous $0\to1\to 2$ $\hbar$/photon increasing of the fractional OAM in passing throughinteger values was operated with the help of the spin-orbit coupling in theBi$_2$ZnOB$_2$O$_6$ crystal. The phase of the state light and its vortices werevisualized by interference patterns with a reference beam. The evolution of thefractional OAM value is accompanied by a continuous evolution of pairs ofvortices with opposite signs and linked by a $-\pi/+\pi$ discontinuous phaseline. The phase pattern evolution around half-integer OAM is observed to becontinuous. In other cases, the evolution can be interrupted by the breaking ofa $-\pi/+\pi$ discontinuous phase line and a new pair of vortices with oppositecharges is born.

Evolution of vortices created by conical diffraction in biaxial crystals versus orbital angular momentum