Publication: Non-uniformly polarized beams across their transverse profiles: an introductory study for undergraduate optics courses
Loading...
Official URL
Full text at PDC
Publication Date
2004-11
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing Ltd.
Citations
Exportar
Abstract
We provide a simple theoretical study of beams non-uniformly polarized across their transverse sections which can be introduced in undergraduate optics courses. In order to generate such beams we propose to use a slightly convergent (or divergent) linearly and uniformly polarized beam impinging on an anisotropic uniaxial material with the beam propagation direction along the optic axis. Analytical expressions for the Jones vector, Stokes parameters, ellipticity and azimuth at each point of the transverse section, perpendicular to the propagation direction, are obtained at the output of this system. By means of these parameters a detailed description of the state of polarization across the transverse profile is given.
Description
©2004 IOP Publishing Ltd.
One of the authors (G P) acknowledges support from project BFM2001-1356 of the Ministerio de Ciencia y TecnologĂa of Spain.
UCM subjects
Unesco subjects
Keywords
Citation
[1] Born M and Wolf E 1999 Principles of Optics 7th edn (Cambridge: Cambridge University Press) chapter 15.
[2] Fowles G R 1975 Introduction to Modern Optics (New York: Dover).
[3] Collett E 1968 The description of polarization in classical physics Am. J. Phys. 36 713–26.
[4] Hecht E 1970 Note on an operational definition of the Stokes parameters Am. J. Phys. 38 1156–8.
[5] Baylis W E, Bonenfant J, Derbyshire J and Huschilt J 1993 Light polarization: a geometric-algebra approach Am. J. Phys. 61 534–45.
[6] Auerbach D 2000 Optical polarization without tools Eur. J. Phys. 21 13–7.
[7] Dettwiller L 2001 Interpretation and generalization of polarized interferences by means of the Poincaré sphere Eur. J. Phys. 22 576–86.
[8] Tidwell S C, Ford D H and Kimura W D 1990 Generating radially polarized beams interferometrically Appl. Opt. 29 2234–9.
[9] Erdogan T and Hall D G 1990 Circularly symmetric distributed feedback semiconductor laser: an analysis J. Appl. Phys. 68 1435–44.
[10] Erdogan T, King O,Wicks G W, Hall D G, Anderson E and Rooks M J 1992 Circularly symmetric operation of a concentric-circle-grating surface emitting AlGaAs/GaAs quantum well semiconductor laser Appl. Phys. Lett. 60 1921–3.
[11] Tidwell S C, Kim G H and Kimura W D 1993 Efficient radially polarized laser beam generation with a double interferometer Appl. Opt. 32 5222–29.
[12] Freund I 2001 Polarization flowers Opt. Commun. 199 47–63.
[13] MartĂas P M, MejĂnez-Herrero R, Piquero G and Movilla J M 2002 Parametric characterization of the spatial structure of non-uniformly polarized laser beams Prog. Quantum Electron. 26 65–130.
[14] Provenziani D, Ciattoni A, Cincotti G, Palma C, Ravaccia F and Sapia C 2002 Stokes parameters of a Gaussian beam in a calcite crystal Opt. Express 10 699–706.
[15] Gori F 1999 Measuring Stokes parameters by means of a polarization grating Opt. Lett. 24 584–86.
[16] Someda C G 2000 Far field of polarization gratings Opt. Lett. 25 1657–9.
[17] Pekka H A, Friberg A T, KailovaMA J and SalomaaMM1999 Conoscopy interferometry of surface-acoustic wave substrate crystals Appl. Opt. 38 5399–407.