Advanced control of nonlinear beams with Pancharatnam-Berry metasurfaces

M. Tymchenko, Juan Sebastian Gomez Diaz, J. Lee, N. Nookala, M. A. Belkin, A. Alù

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The application of the Pancharatnam-Berry (PB) phase approach to the design of nonlinear metasurfaces has recently enabled subdiffractive phase control over the generated nonlinear fields, embedding phased array features in ultrathin structures. Here, we rigorously model, analyze, and design highly efficient nonlinear metasurfaces with advanced functionalities, including the generation of pencil beams steered in arbitrary directions in space, as well as vortex beams with polarization-dependent angular momentum, and we extend the PB approach to various nonlinear processes. To this purpose, we develop an accurate and efficient theoretical framework - inspired by the linear phase array theory - based on the effective nonlinear susceptibility method, thus avoiding the use of time-consuming numerical simulations. Our findings allow exploiting the flat nonlinear optics paradigm, enabling exciting applications based on subwavelength field control over flat and large-scale structures with giant nonlinear responses.

Original languageEnglish (US)
Article number214303
JournalPhysical Review B
Volume94
Issue number21
DOIs
StatePublished - Dec 14 2016

Fingerprint

pencil beams
Nonlinear optics
Phase control
phase control
Angular momentum
nonlinear optics
phased arrays
embedding
Vortex flow
angular momentum
vortices
Polarization
magnetic permeability
Computer simulation
polarization
simulation
Direction compound

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Advanced control of nonlinear beams with Pancharatnam-Berry metasurfaces. / Tymchenko, M.; Gomez Diaz, Juan Sebastian; Lee, J.; Nookala, N.; Belkin, M. A.; Alù, A.

In: Physical Review B, Vol. 94, No. 21, 214303, 14.12.2016.

Research output: Contribution to journalArticle

Tymchenko, M. ; Gomez Diaz, Juan Sebastian ; Lee, J. ; Nookala, N. ; Belkin, M. A. ; Alù, A. / Advanced control of nonlinear beams with Pancharatnam-Berry metasurfaces. In: Physical Review B. 2016 ; Vol. 94, No. 21.
@article{0fe904d76b80486d9ec5741931cc79a7,
title = "Advanced control of nonlinear beams with Pancharatnam-Berry metasurfaces",
abstract = "The application of the Pancharatnam-Berry (PB) phase approach to the design of nonlinear metasurfaces has recently enabled subdiffractive phase control over the generated nonlinear fields, embedding phased array features in ultrathin structures. Here, we rigorously model, analyze, and design highly efficient nonlinear metasurfaces with advanced functionalities, including the generation of pencil beams steered in arbitrary directions in space, as well as vortex beams with polarization-dependent angular momentum, and we extend the PB approach to various nonlinear processes. To this purpose, we develop an accurate and efficient theoretical framework - inspired by the linear phase array theory - based on the effective nonlinear susceptibility method, thus avoiding the use of time-consuming numerical simulations. Our findings allow exploiting the flat nonlinear optics paradigm, enabling exciting applications based on subwavelength field control over flat and large-scale structures with giant nonlinear responses.",
author = "M. Tymchenko and {Gomez Diaz}, {Juan Sebastian} and J. Lee and N. Nookala and Belkin, {M. A.} and A. Al{\`u}",
year = "2016",
month = "12",
day = "14",
doi = "10.1103/PhysRevB.94.214303",
language = "English (US)",
volume = "94",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "21",

}

TY - JOUR

T1 - Advanced control of nonlinear beams with Pancharatnam-Berry metasurfaces

AU - Tymchenko, M.

AU - Gomez Diaz, Juan Sebastian

AU - Lee, J.

AU - Nookala, N.

AU - Belkin, M. A.

AU - Alù, A.

PY - 2016/12/14

Y1 - 2016/12/14

N2 - The application of the Pancharatnam-Berry (PB) phase approach to the design of nonlinear metasurfaces has recently enabled subdiffractive phase control over the generated nonlinear fields, embedding phased array features in ultrathin structures. Here, we rigorously model, analyze, and design highly efficient nonlinear metasurfaces with advanced functionalities, including the generation of pencil beams steered in arbitrary directions in space, as well as vortex beams with polarization-dependent angular momentum, and we extend the PB approach to various nonlinear processes. To this purpose, we develop an accurate and efficient theoretical framework - inspired by the linear phase array theory - based on the effective nonlinear susceptibility method, thus avoiding the use of time-consuming numerical simulations. Our findings allow exploiting the flat nonlinear optics paradigm, enabling exciting applications based on subwavelength field control over flat and large-scale structures with giant nonlinear responses.

AB - The application of the Pancharatnam-Berry (PB) phase approach to the design of nonlinear metasurfaces has recently enabled subdiffractive phase control over the generated nonlinear fields, embedding phased array features in ultrathin structures. Here, we rigorously model, analyze, and design highly efficient nonlinear metasurfaces with advanced functionalities, including the generation of pencil beams steered in arbitrary directions in space, as well as vortex beams with polarization-dependent angular momentum, and we extend the PB approach to various nonlinear processes. To this purpose, we develop an accurate and efficient theoretical framework - inspired by the linear phase array theory - based on the effective nonlinear susceptibility method, thus avoiding the use of time-consuming numerical simulations. Our findings allow exploiting the flat nonlinear optics paradigm, enabling exciting applications based on subwavelength field control over flat and large-scale structures with giant nonlinear responses.

UR - http://www.scopus.com/inward/record.url?scp=85006416146&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006416146&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.94.214303

DO - 10.1103/PhysRevB.94.214303

M3 - Article

AN - SCOPUS:85006416146

VL - 94

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 21

M1 - 214303

ER -