TY - JOUR

T1 - Coherency matrix description of optical polarization singularities

AU - Freund, Isaac

PY - 2004/5

Y1 - 2004/5

N2 - The polarization figures of strictly monochromatic, elliptically polarized light are true ellipses only at particular points in time; at other times, and in other fields, the figures differ from ellipses, and can often exhibit a bewildering variety of complex shapes. A modified real coherency matrix of the field, script m sign, is shown to provide a convenient representation of the polarization figures in arbitrary monochromatic, and arbitrary polychromatic, two dimensional, and three dimensional, not necessarily stationary, electromagnetic fields that are observed at arbitrary times for arbitrary intervals. The eigenvalues of script m sign permit a simple classification of the polarization figures, and their singularities; the eigenvectors of 071 define the important line of sight down which the singularities are properly viewed; the zeros of the discriminant of the characteristic equation of 971 track the path of the singularities through space. Instructive examples are discussed that illustrate the utility of this particular matrix approach to optical polarization.

AB - The polarization figures of strictly monochromatic, elliptically polarized light are true ellipses only at particular points in time; at other times, and in other fields, the figures differ from ellipses, and can often exhibit a bewildering variety of complex shapes. A modified real coherency matrix of the field, script m sign, is shown to provide a convenient representation of the polarization figures in arbitrary monochromatic, and arbitrary polychromatic, two dimensional, and three dimensional, not necessarily stationary, electromagnetic fields that are observed at arbitrary times for arbitrary intervals. The eigenvalues of script m sign permit a simple classification of the polarization figures, and their singularities; the eigenvectors of 071 define the important line of sight down which the singularities are properly viewed; the zeros of the discriminant of the characteristic equation of 971 track the path of the singularities through space. Instructive examples are discussed that illustrate the utility of this particular matrix approach to optical polarization.

KW - Coherency matrix

KW - Polarization

KW - Singularities

UR - http://www.scopus.com/inward/record.url?scp=2542506439&partnerID=8YFLogxK

U2 - 10.1088/1464-4258/6/5/015

DO - 10.1088/1464-4258/6/5/015

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AN - SCOPUS:2542506439

SN - 1464-4258

VL - 6

SP - S229-S234

JO - Journal of Optics A: Pure and Applied Optics

JF - Journal of Optics A: Pure and Applied Optics

IS - 5

ER -