TY - JOUR

T1 - Elliptic critical points

T2 - C-points, a-lines, and the sign rule

AU - Mokhun, A. I.

AU - Soskin, M. S.

AU - Freund, I.

PY - 2002/6/15

Y1 - 2002/6/15

N2 - The critical points of generic paraxial ellipse fields consist of singular points of circular polarization, called C-points, and azimuthal stationary points, i.e., maxima, minima, and saddle points. We define these stationary points here and review their properties. The sign rule for ellipse fields requires that the sign of the singularity indices IC = ±1/2 of the C-points on non-self-intersecting lines of constant azimuthal ellipse orientation (modulo π/2), i.e., a-lines, alternate along the line. We verify this rule experimentally, using a newly developed interferometric technique to measure C-points and a-lines in an elliptically polarized random optical field.

AB - The critical points of generic paraxial ellipse fields consist of singular points of circular polarization, called C-points, and azimuthal stationary points, i.e., maxima, minima, and saddle points. We define these stationary points here and review their properties. The sign rule for ellipse fields requires that the sign of the singularity indices IC = ±1/2 of the C-points on non-self-intersecting lines of constant azimuthal ellipse orientation (modulo π/2), i.e., a-lines, alternate along the line. We verify this rule experimentally, using a newly developed interferometric technique to measure C-points and a-lines in an elliptically polarized random optical field.

UR - http://www.scopus.com/inward/record.url?scp=0037097846&partnerID=8YFLogxK

U2 - 10.1364/ol.27.000995

DO - 10.1364/ol.27.000995

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AN - SCOPUS:0037097846

SN - 0146-9592

VL - 27

SP - 995

EP - 997

JO - Optics Letters

JF - Optics Letters

IS - 12

ER -