An evaluation method is suggested for determining the Berry geometrical spin-redirection phase in systems with a set of separated optical elements. The evaluation considers the coordinate transformation, taking into account the directions of the beam. The spin-redirection phase contains information about the nonplanarity of beam propagation. This geometrical phase can be determined even if the ray trajectory is traced as an <i>unclosed</i> topological contour on the unit sphere associated with wave-vector directions.
© 1999 Optical Society of America
(080.2730) Geometric optics : Matrix methods in paraxial optics
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
Alexander V. Tavrov, Tsutomu Kawabata, Yoko Miyamoto, Mitsuo Takeda, and Vladimir V. Andreev, "Method to evaluate the geometrical spin-redirection phase for a nonplanar ray," J. Opt. Soc. Am. A 16, 919-921 (1999)