Abstract
We study theoretically the stability problem of ray and wave propagation in a general astigmatic and twisted paraxial optical lensguide obtained by successive rotations of a basic astigmatic optical system around its paraxial optical axis. A generalized stability condition in terms of the ray matrix elements of the basic astigmatic optical system and twist rotation angle is derived in a closed form. It is shown that, for stable (unstable) astigmatic lensguides, the introduction of the twist generally leads to the appearance of a region of ray instability (ray stability) within a finite range of twist angle due to non-orthogonal effects induced by the twist. The general theory is applied to the noteworthy continuous limit of ray and wave propagation in a twisted astigmatic graded-index optical fiber.
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Janner, D., Valle, G.D., Galzerano, G. et al. Stability of astigmatic and twisted optical lensguides. Optical and Quantum Electronics 36, 1061–1078 (2004). https://doi.org/10.1007/s11082-004-1662-2
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DOI: https://doi.org/10.1007/s11082-004-1662-2