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Detailed analysis of optical cascades is usually performed using the matrix method of optics, which allows us to determine the transformation matrix of coordinates and the incidence angle of the beam for each element of the cascade. The convenience of matrix description lies in the unity of approach to both ray and wave propagation problems. A series of symmetrical and asymmetric optical cascades that are optimal for turning a wave beam in phase space and do not have forbidden rotation bands are considered using matrix optics methods. For the simplest symmetric two-lens cascades, the tuning characteristics are obtained that allow setting the rotation angle in the range ±π. Rotation control is performed by adjusting the external or internal "run" of the beam between the lenses. For specific cascades, the geometry of the forbidden zones of turns, physical analogs of turns at a complex angle are analyzed.
A. V. Blank andN. A. Suhareva
"Complex transfer characteristics of long-path optical systems", Proc. SPIE 11532, Environmental Effects on Light Propagation and Adaptive Systems III, 115320N (20 September 2020); https://doi.org/10.1117/12.2579344
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A. V. Blank, N. A. Suhareva, "Complex transfer characteristics of long-path optical systems," Proc. SPIE 11532, Environmental Effects on Light Propagation and Adaptive Systems III, 115320N (20 September 2020); https://doi.org/10.1117/12.2579344