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A symmetrization procedure for astigmatic laser-diode beams with different values of beam propagation factors Mx2 and My2 by means of a conversion into twisted beams of axisymmetrical X-shaped variance matrix is proposed. Properties of the symmetrization are analyzed and practically realizable optical systems consisting of twisted, cylindrical lenses or GRIN lenses rate presented. The modified 4 by 4 matrix notation which is closely connected with the common 2 by 2 matrix notation is proposed.
Zbigniew Zawadzki
"Possible application of GRIN optics for symmetrization of partially coherent laser-diode beams", Proc. SPIE 2943, Gradient-Index Optics in Science and Engineering, (22 October 1996); https://doi.org/10.1117/12.255532
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Zbigniew Zawadzki, "Possible application of GRIN optics for symmetrization of partially coherent laser-diode beams," Proc. SPIE 2943, Gradient-Index Optics in Science and Engineering, (22 October 1996); https://doi.org/10.1117/12.255532