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Transverse and Lateral Shifts of the Centre of Gravity of a Refracted Nonparaxial Bessel Beam Carrying Spin and Orbital Angular Momentum
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Swedish Institute of Space Physics, Uppsala Division. Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Space Plasma Physics. (Physics in Space)
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Swedish Institute of Space Physics, Uppsala Division. (Physics in Space)
(English)Article in journal (Refereed) Submitted
Abstract [en]

By applying geometrical optics (GO) to each plane wave component of a nonparaxial electromagnetic (e-m) Bessel beam carrying spin and orbital angular momentum (SAM/OAM), we calculate the shift of the beam centroid during oblique propagation in an isotropic gradient-index medium. In addition to the transverse spin and orbital Hall shifts expected from paraxial theory, the nonparaxial treatment reveals new shifts in both the transverse and lateral directions. When the propagation is close to perpendicular to the density gradient, the new shifts should be significant also for nearly paraxial beams. Suggestions are given for an experimental verification of the results.

Keyword [en]
Orbital angular momentum, Hall effect, Nonparaxial beam
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:uu:diva-158794OAI: oai:DiVA.org:uu-158794DiVA: diva2:441185
Available from: 2011-09-14 Created: 2011-09-14 Last updated: 2011-11-04Bibliographically approved
In thesis
1. Opening New Radio Windows and Bending Twisted Beams
Open this publication in new window or tab >>Opening New Radio Windows and Bending Twisted Beams
2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In ground based high frequency (HF) radio pumping experiments, absorption of ordinary (O) mode pump waves energises the ionospheric plasma, producing optical emissions and other effects. Pump-induced or natural kilometre-scale field-aligned density depletions are believed to play a role in self-focussing phenomena such as the magnetic zenith (MZ) effect, i.e., the increased plasma response observed in the direction of Earth's magnetic field.

Using ray tracing, we study the propagation of ordinary (O) mode HF radio waves in an ionosphere modified by density depletions, with special attention to transmission through the radio window (RW), where O mode waves convert into the extraordinary (X, or Z) mode. The depletions are shown to shift the position of the RW, or to introduce RWs at new locations. In a simplified model neglecting absorption, we estimate the wave electric field strength perpendicular to the magnetic field at altitudes normally inaccessible. This field could excite upper hybrid waves on small scale density perturbations.

We also show how transmission and focussing combine to give stronger fields in some directions, notably at angles close to the MZ, with possible implications for the MZ effect.

In a separate study, we consider electromagnetic (e-m) beams with helical wavefronts (i.e., twisted beams), which are associated with orbital angular momentum (OAM). By applying geometrical optics to each plane wave component of a twisted nonparaxial e-m Bessel beam, we calculate analytically the shift of the beam's centre of gravity during propagation perpendicularly and obliquely to a weak refractive index gradient in an isotropic medium. In addition to the so-called Hall shifts expected from paraxial theory, the nonparaxial treatment reveals new shifts in both the transverse and lateral directions. In some situations, the new shifts should be significant also for nearly paraxial beams.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2011. 77 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 854
Keyword
Orbital angular momentum, Hall effect, Nonparaxial beam, Geometrical optics, High frequency radio waves, Ray tracing, Magnetic zenith effect, Ionospheric irregularities, Wave propagation
National Category
Fusion, Plasma and Space Physics Atom and Molecular Physics and Optics
Research subject
Physics with specialization in Space and Plasma Physics
Identifiers
urn:nbn:se:uu:diva-158797 (URN)978-91-554-8160-5 (ISBN)
Public defence
2011-10-28, Polhemssalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 10:15 (English)
Opponent
Supervisors
Available from: 2011-10-07 Created: 2011-09-14 Last updated: 2011-11-04Bibliographically approved

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Nordblad, Erik

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