Vector-spherical-harmonics representation of vector complex source beams carrying vortices

Orlov, Sergej; Berškys, Justas

doi:10.1103/physreva.102.063532

Cited by 9 publications

(7 citation statements)

References 55 publications

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“…For the HFOBs carrying OAM, we use the CSP method to find the BSCs. [76] In the CSP method, the position vector is translated on the propagation axis to the complex plane, and the absolute value of the complex position vector is given by…”

Section: Complex Source Point Methods To Derive the Bscsmentioning

confidence: 99%

“…For the HFOBs carrying OAM, we use the CSP method to find the BSCs. [ 76 ] In the CSP method, the position vector is translated on the propagation axis to the complex plane, and the absolute value of the complex position vector is given by

r_{\text{c}} = \sqrt{x^{2} + y^{2} + \left(\left(\right. z - i z_{\text{R}} \left.\right)\right)^{2}}

where

z_{\text{R}} = \frac{k w_{0}^{2}}{2}

is the Rayleigh length of the beam, k is the free space wave number, and

w_{0}

is the beam waist.…”

Section: Analytical Formalismmentioning

confidence: 99%

“…Prior presenting the selective excitation results, we provide the selection rules based on the polarization and OAM accompanied by the incident light field. The azimuthally and radially polarized beams can be expanded in terms of magnetic and electric multipoles, [17,76] respectively, which stems from their behavioral resemblances. Consequently, the magnetic multipoles of the particle can be excited using the azimuthally polarized beams, also called the magnetic beams in this article, while the radially polarized ones, also called the electric beams, are utilized to excite the electric multipoles.…”

Section: Selective Excitation Of Multipoles Using Hfobs Carrying Oammentioning

confidence: 99%

“…Despite possessing a satisfactory performance, numerical calculation of the BSCs enhances the computational burdens. Therefore, an analytical approach to express the BSCs of highly focused vector vortex beams in the focal region has been proposed in other studies, [73][74][75][76] where the authors have resorted to the complex source point (CSP) method to analytically describe the vortex HFOB for different polarization near the focusing area.…”

Section: Introductionmentioning

confidence: 99%

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Optical Manipulation of Nanoparticles: A Selective Excitation Approach Using Highly Focused Orbital Angular Momentum Beams

Sadafi

Taghavi

Mota

et al. 2023

Advanced Photonics Research

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Orbital angular momentum and polarization states of highly focused vector vortex beams can be engineered to selectively excite the desired multipoles in nanoparticles, making them ideal candidates for complex optical applications. A platform based on the generalized Lorenz–Mie theory integrated with the complex source point method is developed to model the interaction of such beams with particles analytically. The existing platform is extended for obtaining the full‐vector electromagnetic fields, outlining the observed effects that adding a substrate brings to the problem space. Despite the cross‐coupling between different multipoles induced by the substrate, it is concluded that the proper choice of beam parameters enables the selective excitation of multipoles even in the critical case of a plasmonic substrate. The proposed formalism is general and allows a multipole study of the optical forces. Selective excitation is exploited to control the imparted optical forces on particles placed on a plasmonic substrate. 3D trapping regions are achievable for highly absorptive and high‐refractive‐index particles. Motion trajectory analyses are performed to demonstrate the trapping stability, concluding that highly focused optical beams, owing to the exceptional selective excitation ability, are suitable candidates for novel optical manipulation applications.

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Section: Complex Source Point Methods To Derive the Bscsmentioning

confidence: 99%

“…For the HFOBs carrying OAM, we use the CSP method to find the BSCs. [ 76 ] In the CSP method, the position vector is translated on the propagation axis to the complex plane, and the absolute value of the complex position vector is given by

r_{\text{c}} = \sqrt{x^{2} + y^{2} + \left(\left(\right. z - i z_{\text{R}} \left.\right)\right)^{2}}

where

z_{\text{R}} = \frac{k w_{0}^{2}}{2}

is the Rayleigh length of the beam, k is the free space wave number, and

w_{0}

is the beam waist.…”

Section: Analytical Formalismmentioning

confidence: 99%

Section: Selective Excitation Of Multipoles Using Hfobs Carrying Oammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optical Manipulation of Nanoparticles: A Selective Excitation Approach Using Highly Focused Orbital Angular Momentum Beams

Sadafi

Taghavi

Mota

et al. 2023

Advanced Photonics Research

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show abstract

“…The shape, material, orientation and other properties of meta-atoms can be changed fairly easily [14]. Under these conditions, light behaves non-intuitively, and phenomena such as slow light, chirality or birefringence are observed [15,16]. Two-dimensional functional meta-surfaces suitable for different wavelengths are created by variation of the scale of the structures.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Pancharatnam–Berry phase element for the generation of the top-hat beam

Gotovski¹,

Šlevas²,

Orlov³

et al. 2022

J. Opt.

Self Cite

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Within optics, the Pancharatnam-Berry phase enables the design and creation of various flat special optical elements such as top-hat converters. We present a study on engineering efficient vectorial top-hat converters inscribed in glass by high-power femtosecond laser pulses. We phase-encode a top-hat converter and demonstrate how its quality is influenced by various parameters. We investigate theoretically the generation of the top-hat beam under imperfect conditions such as the mismatch of the incident beam width or the misalignment of the center of the converter. Experimental verification of the concept is also presented.

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Ultrafast vectorial calculation of tightly focused vortex and non-vortex fields in a meridional plane

Sedukhin

2024

Optics Communications

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Vector-spherical-harmonics representation of vector complex source beams carrying vortices

Cited by 9 publications

References 55 publications

Optical Manipulation of Nanoparticles: A Selective Excitation Approach Using Highly Focused Orbital Angular Momentum Beams

Optical Manipulation of Nanoparticles: A Selective Excitation Approach Using Highly Focused Orbital Angular Momentum Beams

Investigation of the Pancharatnam–Berry phase element for the generation of the top-hat beam

Ultrafast vectorial calculation of tightly focused vortex and non-vortex fields in a meridional plane

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