Broadband continuous supersymmetric transformation: a new paradigm for transformation optics

Jieun Yim; Nitish Chandra; Xilin Feng; Zihe Gao; Shuang Wu; Tianwei Wu; Haoqi Zhao; Natalia M. Litchinitser; Liang Feng

Your Location：

Home >

Browse articles >

Broadband continuous supersymmetric transformation: a new paradigm for transformation optics

eLight Vol. 2, Issue 1, (2022)

RESEARCH ARTICLE | Updated：2024-09-28

- Broadband continuous supersymmetric transformation: a new paradigm for transformation optics
- Affiliations：
  
  Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA
  Department of Electrical and Computer Engineering, Duke University, Durham, NC 27708, USA
  Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA
- Author bio：
  
  *Natalia M. Litchinitsernatalia.litchinitser@duke.edu
  Liang Fengfenglia@seas.upenn.edu
- Funds：
- DOI：
  CLC：
- Published：2022-12，
  
  Published Online：12 September 2022，
  
  Received：22 July 2022，
  
  Revised：08 August 2022，
  
  Accepted：10 August 2022
- Accepted：
Scan QR Code
Jieun Yim, Nitish Chandra, Xilin Feng, et al. Broadband continuous supersymmetric transformation: a new paradigm for transformation optics. [J]. eLight, 2022,2(1).
DOI：

Jieun Yim, Nitish Chandra, Xilin Feng, et al. Broadband continuous supersymmetric transformation: a new paradigm for transformation optics. [J]. eLight, 2022,2(1). DOI：

摘要

Abstract

Transformation optics has formulated a versatile framework to mold the flow of light and tailor its spatial characteristics at will. Despite its huge success in bringing scientific fiction (such as invisibility cloaking) into reality

the coordinate transformation often yields extreme material parameters unfeasible even with metamaterials. Here

we demonstrate a new transformation paradigm based upon the invariance of the eigenspectra of the Hamiltonian of a physical system

enabled by supersymmetry. By creating a gradient-index metamaterial to control the local index variation in a family of isospectral optical potentials

we demonstrate broadband continuous supersymmetric transformation in optics

on a silicon chip

to simultaneously transform the transverse spatial characteristics of multiple optical states for arbitrary steering and switching of light flows. Through a novel synergy of symmetry physics and metamaterials

our work provides an adaptable strategy to conveniently tame the flow of light with full exploitation of its spatial degree of freedom.

关键词

Keywords

SupersymmetryTransformation opticsMetamaterialsIntegrated photonics

references

U. Leonhardt, Science 312, 1777 (2006)

J.B. Pendry, D. Schurig, D.R. Smith, Science 312, 1780 (2006)

A. Alù, N. Engheta, Phys. Rev. E 72, 016623 (2005)

D. Schurig, J.J. Mock, B.J. Justice, S.A. Cummer, J.B. Pendry, A.F. Starr, D.R. Smith, Science 314, 977 (2006)

W. Cai, U.K. Chettiar, A.V. Kildishev, V.M. Shalaev, Nat. Photonics 1, 224(2007)

I.I. Smolyaninov, V.N. Smolyaninova, A.V. Kildishev, V.M. Shalaev, Phys Rev Lett 102, 213901 (2009)

T. Ergin, N. Stenger, P. Brenner, J.B. Pendry, M. Wegener, Science 328, 337 (2010)

T. Han, X. Bai, D. Gao, J.T.L. Thong, B. Li, C.-W. Qiu, Phys Rev Lett 112, 054302 (2014)

Y. Lai, J. Ng, H. Chen, D. Han, J. Xiao, Z.-Q. Zhang, C.T. Chan, Phys Rev Lett 102, 253902 (2009)

V.G. Veselago, Sov Phys Usp 10, 509 (1968)

D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, S. Schultz, Phys Rev Lett 84, 4184 (2000)

R.A. Shelby, D.R. Smith, S. Schultz, Science 292, 77 (2001)

A.J. Hoffman, L. Alekseyev, S.S. Howard, K.J. Franz, D. Wasserman, V.A. Podolskiy, E.E. Narimanov, D.L. Sivco, C. Gmachl, Nat Mater 6, 946 (2007)

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D.A. Genov, G. Bartal, X. Zhang, Nature 455, 376 (2008)

J.K. Gansel, M. Thiel, M.S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, M. Wegener, Science 325, 1513 (2009)

W. Cai, V.M. Shalaev, Optical metamaterials: fundamentals and applications (Springer, New York, 2010)

N.I. Zheludev, Y.S. Kivshar, Nat Mater 11, 917 (2012)

J. Li, J.B. Pendry, Phys Rev Lett 101, 203901 (2008)

R. Liu, C. Ji, J.J. Mock, J.Y. Chin, T.J. Cui, D.R. Smith, Science 323, 366 (2009)

J. Valentine, J. Li, T. Zentgraf, G. Bartal, X. Zhang, Nat Mater 8, 568 (2009)

L.H. Gabrielli, J. Cardenas, C.B. Poitras, M. Lipson, Nat Photonics 3, 461 (2009)

D.R. Smith, J.J. Mock, A.F. Starr, D. Schurig, Phys Rev E 71, 036609 (2005)

W.X. Jiang, S. Ge, T. Han, S. Zhang, M.Q. Mehmood, C. Qiu, T.J. Cui, Adv Sci 3, 1600022 (2016)

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, B. Kanté, Nature 541, 196 (2017)

A.B. Khanikaev, G. Shvets, Nat Photonics 11, 763 (2017)

L. Feng, R. El-Ganainy, L. Ge, Nat Photonics 11, 752 (2017)

E. Witten, Nucl Phys B 188, 513 (1981)

F. Cooper, A. Khare, U.P. Sukhatme, Supersymmetry in quantum mechanics (World Scientific, River Edge, 2001)

M.-A. Miri, M. Heinrich, R. El-Ganainy, D.N. Christodoulides, Phys Rev Lett 110, 233902 (2013)

S. Longhi, Opt Lett 40, 463 (2015)

S. Yu, X. Piao, J. Hong, N. Park, Nat Commun 6, 8269 (2015)

M.P. Hokmabadi, N.S. Nye, R. El-Ganainy, D.N. Christodoulides, M. Khajavikhan, Science 363, 623 (2019)

X. Qiao, B. Midya, Z. Gao, Z. Zhang, H. Zhao, T. Wu, J. Yim, R. Agarwal, N.M. Litchinitser, L. Feng, Science 372, 403 (2021)

M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, D.N. Christodoulides, Nat Commun 5, 3698 (2014)

M.-A. Miri, M. Heinrich, D.N. Christodoulides, Optica 1, 89 (2014)

W. Walasik, N. Chandra, B. Midya, L. Feng, N.M. Litchinitser, Opt Express 27, 22429 (2019)

J. Pappademos, U. Sukhatme, A. Pagnamenta, Phys Rev A 48, 3525 (1993)

D.J.C. Fernández, E. Salinas-Hernández, J Phys A Math Gen 36, 2537 (2003)

T. Tamir, R.C. Alferness, Guided-wave optoelectronics (Springer, Berlin, 1990)

A. Khare, U. Sukhatme, J Phys A Math Gen 22, 2847 (1989)

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Publicity Resources

High-permittivity ceramics enabled highly homogeneous zero-index metamaterials for high-directivity antennas and beyond

Floquet metamaterials

Conformal optical black hole for cavity

Related Author

Tian Dong

Yang Li

Yue Li

Ji Zhou

Jingbo Sun

Ming Bai

Yujing He

Ning Leng

Related Institution

State Key Laboratory of Precision Measurement Technology and Instruments,Department of Precision Instrument, Tsinghua University

Department of Electronic Engineering, Tsinghua University

State Key Laboratory of New Ceramics and Fine Processing, School of Materials Science and Engineering, Tsinghua University

The School of Electronic and Information Engineering, Beihang University

Photonics Initiative, Advanced Science Research Center, The City University of New York, 85 St. Nicholas Terrace

⁰