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- Title
Optical metasurfaces for generating and manipulating optical vortex beams.
- Authors
Ahmed, Hammad; Kim, Hongyoon; Zhang, Yuebian; Intaravanne, Yuttana; Jang, Jaehyuck; Rho, Junsuk; Chen, Shuqi; Chen, Xianzhong
- Abstract
At relatively small incident and observation angles, the scattered field can be approximated as: HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mi>r</mi><mi>a</mi><mi>d</mi></msub><mo> </mo><mi>c</mi><msub><mi> </mi><mi>e</mi></msub><mtext> </mtext><msup><mi>k</mi><mn>2</mn></msup><msup><mi>e</mi><mi>i</mi><mi>k</mi><mi>r</mi></msup><mo>[</mo><mfrac><mtext>cos</mtext><mi> </mi><mtext>cos</mtext><mi> </mi><mo>+</mo><mn>1</mn><mn>4</mn></mfrac><msubsup><mi>E</mi><mi>u</mi><mi> </mi></msubsup><mo>+</mo><mfrac><mo>(</mo><mtext>cos</mtext><mi> </mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>(</mo><mtext>cos</mtext><mi> </mi><mo>+</mo><mn>1</mn><mo>)</mo><mn>8</mn></mfrac><msubsup><mi>E</mi><mi>u</mi><mo>-</mo><mi> </mi></msubsup><msup><mi>e</mi><mo>+</mo><mi> </mi><mi>i</mi><mn>2</mn><mi> </mi></msup><mo>]</mo></math> ht Graph (3)where I r i is the distance from the antenna, I k i is the wave vector, and I i SB I e i sb is the dipole moment of the antenna. </mo><mi> </mi><mo>(</mo><mi>p</mi><mo>+</mo><mo>|</mo><mi>l</mi><mo>|</mo><mo>)</mo><mo>! The corresponding OAM metasurface hologram contains three types of hologram, including OAM conserving hologram, OAM selective hologram, and OAM multiplexing hologram [[102]]. The parameter I z i SB I R i sb is the Rayleigh range of Gaussian envelope, and HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><mo>(</mo><mrow><mn>2</mn><mi>p</mi><mo>+</mo><mo>|</mo><mi>l</mi><mo>|</mo><mo>+</mo><mn>1</mn></mrow><mo>)</mo></mrow><msup><mtext>tan</mtext><mo>-</mo><mn>1</mn></msup><mo>(</mo><mi>z</mi><mo>/</mo><msub><mi>z</mi><mi>R</mi></msub><mo>)</mo></mrow></math> ht corresponds to the Gouy phase.
- Subjects
OPTICAL vortices; VECTOR beams; FOURIER transform optics; OPTICAL polarization; HOLOGRAPHY; REFRACTION (Optics)
- Publication
Nanophotonics (21928606), 2022, Vol 11, Issue 5, p941
- ISSN
2192-8606
- Publication type
Article
- DOI
10.1515/nanoph-2021-0746