A simple analytical model of the angular momentum transformation in strongly focused light beams

Bekshaev, A. Ya.

doi:10.2478/s11534-010-0011-2

Cited by 24 publications

(35 citation statements)

References 34 publications

(122 reference statements)

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“…The main problem is that the transverse field momentum normally has very low absolute value and, to reach a perceptible level of its action, strong energy concentration in the cell with suspended particles is indispensable, which is achieved by the high-NA focusing. But in this case, the initial spin flow of the incident beam is inevitably converted into the orbital flow of the focused beam, associated mainly with its amplified longitudinal component, which acquires the vortex structure 24 . As a result, the conversion-generated orbital flow produces essentially similar ponderomotive action, and one cannot definitely distinguish the spin and orbital flow contributions.…”

Section: Statement Of the Problemmentioning

confidence: 99%

Circular motion of particles by the help of the spin part of the internal energy flow

et al. 2013

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Non-spherical dielectric microparticles were suspended in the water-filled cell and exposed to the coherent Gaussian light beam with switchable state of polarization. When the beam polarization is linear, the particles were trapped at certain off-axial position within the beam cross section. After switching to the right (left) circular polarization, the particles performed spinning motion in agreement with the angular momentum imparted by the field, but also they were involved in the orbital rotation around the beam axis, which in previous works [Y. Zhao et al, Phys. Rev. Lett. 99, 073901 (2007)] was treated as an evidence for the spin-to orbital angular momentum conversion. Since in our situation the moderate focusing of the beam excluded possibility of such a conversion, we treat the observed particle behaviour as a demonstration of the macroscopic "spin energy flow" predicted by the theory of inhomogeneously polarized paraxial beams [A. Bekshaev et al, J. Opt. 13, 053001 (2011)].

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Section: Statement Of the Problemmentioning

confidence: 99%

Circular motion of particles by the help of the spin part of the internal energy flow

et al. 2013

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“…First, in view of Eqs. (12) and (23), all the exponential multipliers in Eqs. (15)-(18) appear to be identical and may be omitted.…”

Section: General Calculationsmentioning

confidence: 99%

“…Then, after simple but tedious algebra, involving Eqs. (25)- (28) and (23), and the derivative correspondences…”

Section: -3mentioning

confidence: 99%

“…(3) and (11), "incorporate" all the polarizationdependent features of the incident paraxial beam, and all the subsequent spin-sensitive effects, which may happen to the beam in the course of its propagation or transformations, inevitably "stem" from these longitudinal fields. For example, relative magnitudes of the z components can be substantially amplified and their vortex nature comes to light due to violation of the beam paraxiality (e.g., after the beam is tightly focused or scattered [1,17,[21][22][23][24]). Likewise, here we intend to show that it is the longitudinal field [Eqs.…”

Section: Introductionmentioning

confidence: 99%

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Polarization-dependent transformation of a paraxial beam upon reflection and refraction: A real-space approach

Bekshaev¹

2012

Phys. Rev. A

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We analyze the paraxial beam transformation upon reflection and refraction at a plane boundary. In contrast to the usual approach dealing with the beam angular spectrum, we apply the continuity conditions to explicit spatial representations of the electric and magnetic fields on both sides of the boundary. It is shown that the polarization-dependent distortions of the beam trajectory (in particular, the "longitudinal" Goos-Hänchen shift and the "lateral" Imbert-Fedorov shift of the beam center of gravity) are directly connected to the incident beam longitudinal component and appear due to its transformation at the boundary.

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“…The use of this circular basis is particularly useful in the analysis of the angular momentum and when dealing with vortex beams [34][35][36]. Moreover, this basis is very suitable for designing the polarization characteristics of the transverse component of a highly focused beam [18,32].…”

Section: Review Of Basic Conceptsmentioning

confidence: 99%

Experimental implementation of tightly focused beams with unpolarized transversal component at any plane

Martı́nez-Herrero¹,

Maluenda²,

Juvells³

et al. 2014

Opt. Express

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The aim of this paper is to provide a formal framework for designing highly focused fields with specific transversal features when the incoming beam is partially polarized. More specifically, we develop a field with a transversal component that remains unpolarized in the focal area. Special attention is paid to the design of the input beam and the development of the experiment. The implementation of such fields is possible by using an interferometric setup combined with the use of digital holography techniques. Experimental results are compared with those obtained numerically.

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A simple analytical model of the angular momentum transformation in strongly focused light beams

Abstract: Abstract: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.

Cited by 24 publications

References 34 publications

Circular motion of particles by the help of the spin part of the internal energy flow

Circular motion of particles by the help of the spin part of the internal energy flow

Polarization-dependent transformation of a paraxial beam upon reflection and refraction: A real-space approach

Experimental implementation of tightly focused beams with unpolarized transversal component at any plane

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