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Content available remote A simple analytical model of the angular momentum transformation in strongly focused light beams
100%
Bekshaev A.
Open Physics
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2010
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tom 8
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nr 6
947-960
EN
A ray-optics model is proposed to describe the vector beam transformation in a strongly focusing optical system. In contrast to usual approaches based on the focused field distribution near the focal plane, we use the beam pattern formed immediately after the exit aperture. In this cross section, details of the output field distribution are of minor physical interest but proper allowance is made for transformation of the beam polarization state. This enables the spin and orbital angular momentum representations to be obtained, which are valid for any cross section of the transformed beam. Simple analytical results are available for a transversely homogeneous, circularly polarized incident beam confined by a circular aperture. Variations of the spin and orbital angular momenta of the output beam with change of the focusing strength are analyzed. The analytical results are in good qualitative and reasonable quantitative agreement with the results of numerical calculations performed for the Gaussian and Laguerre-Gaussian beams. The model supplies an efficient and physically transparent means for qualitative analysis of the spin-to-orbital angular momentum conversion. It can be generalized to incident beams with complex spatial and polarization structure.
2
Content available Symmetry of polychromatic beams and transverse energy flows
100%
Mokhun I. I. , Galushko Y. K. , Felde C. V. , Karabchiyvskiy M. D. , Viktorovskaya Y. , Val O. D.
Opto-Electronics Review
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2024
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tom Vol. 32, No. 2
art. no. e150187
EN
The article considers the mechanisms of the formation of transverse energy flows in polychromatic fields with different structures. It is shown that the magnitude of the Poynting vector transverse component and the angular momentum for symmetric polychromatic beams are the same as in coherent monochromatic fields. Changes in the characteristics of energy flows due to the transformation and destruction of beam symmetry are demonstrated. The data of computer simulation are presented.
3
Content available Dynamics of a mass variable drum winding a heavy rope
100%
Buśkiewicz J.
Archives of Mechanics
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2021
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tom Vol. 73, nr 5-6
557--582
EN
The paper focuses on a winch drum winding a heavy rope to present the variety of issues related to the dynamics of systems with rotating parts of time-varying mass. The dynamic motion equations for such systems are frequently either incorrect or derived under the assumption of mass constancy. When the mass variability is taken into account, simpler cases are discussed. The considerations on the angular momentum theorem enables formulating a new two time parameters form of the rotational motion equation for the system with time varying mass. Four cases are considered and different approaches of motion equations derivation are applied. The assumptions and solution methods of the analyzed systems as well as ambiguities and possible contradictions that may arise as a result of the trial of the problem formulation on the grounds of rigid body mechanics are discussed. The numerical simulations are presented.
4
Content available remote Erratum to “A simple analytical model of the angular momentum transformation in strongly focused light beams” by Aleksandr Ya. Bekshaev
86%
Bekshaev A.
Open Physics
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2011
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tom 9
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nr 3
896-896
EN
The original version of the article was published in Central European Journal of Physics 8, 94–960 (2010), DOI: 10.2478/s11534-010-0011-2. Unfortunately, due to an editorial processing error the original version of this article contains mistakes in Eqs. (23) and (25). Here we display the corrected version of these equations.
5
Content available remote The behavior of the Poynting vector in the area of elementary polarization singularities.
86%
Mokhun I. , Khrobatin R. , Mokhun A. , Viktorovskaya J.
Optica Applicata
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2007
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tom Vol. 37, nr 3
261-277
EN
The behavior of the Poynting vector in the area of elementary polarization singularities withone or two C-points, which are bounded by regular shape s-contour is considered. It has been shown that C-points are associated with the "vortex" kind singularities of the averaged transversal component of the Poynting vector if the handedness factor and topological charge of C-point are characterized by different signs. "Passive" Poynting singularities arise in the area if the signs are the same. It has been shown that the positions of the Poynting singularities shift relatively to the C-points under the phase and amplitude asymmetry of orthogonal components of the resulting field. The results of the computer simulation are presented.
6
Content available remote Surface effects of coupled fields in micropolar continuous media
72%
Hoffmann T. J. , Chudzicka-Adamczak M. , Pytliński R. , Pośpiech M.
Vibrations in Physical Systems
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2008
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tom Vol. 23
151--156
EN
In mechanics of continuous media, one of the sub areas is the coupled field theory describing interactions of mechanical, thermal, diffusion and electromagnetic field. All this physical fields are represented in the tensors introduced in this theory. Taking into consideration the momentum and angular momentum of the electromagnetic field in medium requires introduction of the fields: couple stress, mass angular momentum and mass couple in balance equations. From the vectorial nature of momentum, angular momentum, force and couple it appears that the stress tensor and couple stress tensor are the second order. Bearing in mind the importance for modern technology of the physical properties of the surface and surface layer of a solid, the conception of balance equations will be applied to describe the material surface interacting with an electromagnetic field.
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