Three-dimensional polarization ray-tracing calculus II: retardance.

The concept of retardance is critically analyzed for ray paths through optical systems described by a three-by-three polarization ray-tracing matrix. Algorithms are presented to separate the effects of retardance from geometric transformations. The geometric transformation described by a "parallel transport matrix" characterizes nonpolarizing propagation through an optical system, and also provides a proper relationship between sets of local coordinates along the ray path. The proper retardance is calculated by removing this geometric transformation from the three-by-three polarization ray-tracing matrix. Two rays with different ray paths through an optical system can have the same polarization ray-tracing matrix but different retardances. The retardance and diattenuation of an aluminum-coated three fold-mirror system are analyzed as an example.

[1]  Garam Yun,et al.  Three-dimensional polarization ray-tracing calculus I: definition and diattenuation. , 2011, Applied optics.

[2]  R. Clark Jones,et al.  A New Calculus for the Treatment of Optical Systems. VII. Properties of the N-Matrices , 1948 .

[3]  M. Berry.  The Adiabatic Phase and Pancharatnam's Phase for Polarized Light , 1987 .

[4]  R. Jones.  A New Calculus for the Treatment of Optical Systems. IV. , 1942 .

[5]  R. Chipman,et al.  Homogeneous and inhomogeneous Jones matrices , 1994 .

[6]  Peter Török,et al.  Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation , 1995 .

[7]  R. Clark Jones,et al.  A New Calculus for the Treatment of Optical SystemsV. A More General Formulation, and Description of Another Calculus , 1947 .

[8]  Samuel,et al.  Observation of topological phase by use of a laser interferometer. , 1988, Physical review letters.

[9]  D J Bone,et al.  Fourier fringe analysis: the two-dimensional phase unwrapping problem. , 1991, Applied optics.

[10]  R. Jones,et al.  A New Calculus for the Treatment of Optical SystemsII. Proof of Three General Equivalence Theorems , 1941 .

[11]  S. Pancharatnam.  Generalized theory of interference, and its applications , 2013 .

[12]  Giorgio Franceschetti,et al.  Phase unwrapping by means of genetic algorithms , 1998 .

[13]  S. Pancharatnam,et al.  Generalized theory of interference, and its applications , 1956 .

[14]  Russell A. Chipman,et al.  Polarization Analysis Of Optical Systems , 1988, Photonics West - Lasers and Applications in Science and Engineering.

[15]  R. Jones.  A New Calculus for the Treatment of Optical SystemsI. Description and Discussion of the Calculus , 1941 .

[16]  J. Myrheim,et al.  On the theory of identical particles , 1977 .

[17]  R. Jones,et al.  New calculus for the treatment of optical systems. VIII. Electromagnetic theory , 1956 .

[18]  R. Clark Jones,et al.  A New Calculus for the Treatment of Optical SystemsIII. The Sohncke Theory of Optical Activity , 1941 .

[19]  R. Clark Jones,et al.  A New Calculus for the Treatment of Optical SystemsVI. Experimental Determination of the Matrix , 1947 .