DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Direct imaging of isofrequency contours in photonic structures

Abstract

The isofrequency contours of a photonic crystal are important for predicting and understanding exotic optical phenomena that are not apparent from high-symmetry band structure visualizations. We demonstrate a method to directly visualize the isofrequency contours of high-quality photonic crystal slabs that show quantitatively good agreement with numerical results throughout the visible spectrum. Our technique relies on resonance-enhanced photon scattering from generic fabrication disorder and surface roughness, so it can be applied to general photonic and plasmonic crystals or even quasi-crystals. We also present an analytical model of the scattering process, which explains the observation of isofrequency contours in our technique. Furthermore, the isofrequency contours provide information about the characteristics of the disorder and therefore serve as a feedback tool to improve fabrication processes.

Authors:
 [1];  [2];  [3];  [4];  [5];  [4];  [4];  [4]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Wellesley College, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); NEC Corp., Ibaraki (Japan)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Technion-Israel Inst. of Tech., Haifa (Israel)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  5. Yale Univ., New Haven, CT (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1388456
Grant/Contract Number:  
SC0001299; FG02-09ER46577
Resource Type:
Accepted Manuscript
Journal Name:
Science Advances
Additional Journal Information:
Journal Volume: 2; Journal Issue: 11; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 2375-2548
Publisher:
AAAS
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Regan, E. C., Igarashi, Y., Zhen, B., Kaminer, I., Hsu, C. W., Shen, Y., Joannopoulos, J. D., and Soljacic, M. Direct imaging of isofrequency contours in photonic structures. United States: N. p., 2016. Web. doi:10.1126/sciadv.1601591.
Regan, E. C., Igarashi, Y., Zhen, B., Kaminer, I., Hsu, C. W., Shen, Y., Joannopoulos, J. D., & Soljacic, M. Direct imaging of isofrequency contours in photonic structures. United States. https://doi.org/10.1126/sciadv.1601591
Regan, E. C., Igarashi, Y., Zhen, B., Kaminer, I., Hsu, C. W., Shen, Y., Joannopoulos, J. D., and Soljacic, M. Fri . "Direct imaging of isofrequency contours in photonic structures". United States. https://doi.org/10.1126/sciadv.1601591. https://www.osti.gov/servlets/purl/1388456.
@article{osti_1388456,
title = {Direct imaging of isofrequency contours in photonic structures},
author = {Regan, E. C. and Igarashi, Y. and Zhen, B. and Kaminer, I. and Hsu, C. W. and Shen, Y. and Joannopoulos, J. D. and Soljacic, M.},
abstractNote = {The isofrequency contours of a photonic crystal are important for predicting and understanding exotic optical phenomena that are not apparent from high-symmetry band structure visualizations. We demonstrate a method to directly visualize the isofrequency contours of high-quality photonic crystal slabs that show quantitatively good agreement with numerical results throughout the visible spectrum. Our technique relies on resonance-enhanced photon scattering from generic fabrication disorder and surface roughness, so it can be applied to general photonic and plasmonic crystals or even quasi-crystals. We also present an analytical model of the scattering process, which explains the observation of isofrequency contours in our technique. Furthermore, the isofrequency contours provide information about the characteristics of the disorder and therefore serve as a feedback tool to improve fabrication processes.},
doi = {10.1126/sciadv.1601591},
journal = {Science Advances},
number = 11,
volume = 2,
place = {United States},
year = {Fri Nov 25 00:00:00 EST 2016},
month = {Fri Nov 25 00:00:00 EST 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 22 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

All-angle negative refraction without negative effective index
journal, May 2002


Self-collimating phenomena in photonic crystals
journal, March 1999

  • Kosaka, Hideo; Kawashima, Takayuki; Tomita, Akihisa
  • Applied Physics Letters, Vol. 74, Issue 9
  • DOI: 10.1063/1.123502

Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal
journal, January 2006

  • Rakich, Peter T.; Dahlem, Marcus S.; Tandon, Sheila
  • Nature Materials, Vol. 5, Issue 2
  • DOI: 10.1038/nmat1568

Superprism phenomena in photonic crystals
journal, October 1998


Spawning rings of exceptional points out of Dirac cones
journal, September 2015

  • Zhen, Bo; Hsu, Chia Wei; Igarashi, Yuichi
  • Nature, Vol. 525, Issue 7569
  • DOI: 10.1038/nature14889

Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
journal, August 2016


Observation of trapped light within the radiation continuum
journal, July 2013

  • Hsu, Chia Wei; Zhen, Bo; Lee, Jeongwon
  • Nature, Vol. 499, Issue 7457, p. 188-191
  • DOI: 10.1038/nature12289

Bound states in the continuum
journal, July 2016


Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials
journal, May 2011

  • Huang, Xueqin; Lai, Yun; Hang, Zhi Hong
  • Nature Materials, Vol. 10, Issue 8, p. 582-586
  • DOI: 10.1038/nmat3030

On-chip zero-index metamaterials
journal, October 2015


Watt-class high-power, high-beam-quality photonic-crystal lasers
journal, April 2014

  • Hirose, Kazuyoshi; Liang, Yong; Kurosaka, Yoshitaka
  • Nature Photonics, Vol. 8, Issue 5
  • DOI: 10.1038/nphoton.2014.75

Seeing protein monolayers with naked eye through plasmonic Fano resonances
journal, June 2011

  • Yanik, A. A.; Cetin, A. E.; Huang, M.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 29, p. 11784-11789
  • DOI: 10.1073/pnas.1101910108

Perfect single-sided radiation and absorption without mirrors
journal, January 2016


Fundamental limit of nanophotonic light trapping in solar cells
journal, September 2010

  • Yu, Zongfu; Raman, Aaswath; Fan, Shanhui
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 41, p. 17491-17496
  • DOI: 10.1073/pnas.1008296107

Ultrabroadband Photonic Structures To Achieve High-Performance Daytime Radiative Cooling
journal, March 2013

  • Rephaeli, Eden; Raman, Aaswath; Fan, Shanhui
  • Nano Letters, Vol. 13, Issue 4, p. 1457-1461
  • DOI: 10.1021/nl4004283

Radiative cooling of solar absorbers using a visibly transparent photonic crystal thermal blackbody
journal, September 2015

  • Zhu, Linxiao; Raman, Aaswath P.; Fan, Shanhui
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 40
  • DOI: 10.1073/pnas.1509453112

Structural Colors from Fano Resonances
journal, January 2015

  • Shen, Yichen; Rinnerbauer, Veronika; Wang, Imbert
  • ACS Photonics, Vol. 2, Issue 1, p. 27-32
  • DOI: 10.1021/ph500400w

Direct observation of iso-frequency contour of surface modes in defective photonic crystals in real space
journal, December 2010

  • Shi, Lei; Yin, Haiwei; Zhu, Xiaolong
  • Applied Physics Letters, Vol. 97, Issue 25
  • DOI: 10.1063/1.3524520

Fourier space imaging of light localization at a photonic band-edge located below the light cone
journal, January 2009


Deep-subwavelength imaging of the modal dispersion of light
journal, August 2012

  • Sapienza, R.; Coenen, T.; Renger, J.
  • Nature Materials, Vol. 11, Issue 9
  • DOI: 10.1038/nmat3402

Fourier plane imaging microscopy
journal, September 2014

  • Dominguez, Daniel; Alharbi, Nouf; Alhusain, Mdhaoui
  • Journal of Applied Physics, Vol. 116, Issue 10
  • DOI: 10.1063/1.4895157

Direct observation of photonic Fermi surfaces by plasmon tomography
journal, April 2011

  • Regan, C. J.; Krishnan, A.; Lopez-Boada, R.
  • Applied Physics Letters, Vol. 98, Issue 15
  • DOI: 10.1063/1.3581050

Directivity and isotropic band-gap in 12-fold symmetry plasmonic quasi-crystals with small index contrast
journal, October 2011

  • Regan, C. J.; Grave de Peralta, L.; Bernussi, A. A.
  • Applied Physics Letters, Vol. 99, Issue 18
  • DOI: 10.1063/1.3657498

Image Formation in Wide-Field Microscopes Based on Leakage of Surface Plasmon-Coupled Fluorescence
journal, August 2009


Direct image of surface-plasmon-coupled emission by leakage radiation microscopy
journal, January 2010

  • Zhang, Douguo G.; Yuan, Xiaocong; Bouhelier, Alexandre
  • Applied Optics, Vol. 49, Issue 5
  • DOI: 10.1364/AO.49.000875

Surface profile dependence of surface plasmon band gaps on metallic gratings
journal, May 1996

  • Kitson, S. C.; Barnes, W. L.; Bradberry, G. W.
  • Journal of Applied Physics, Vol. 79, Issue 9
  • DOI: 10.1063/1.361456

Direct mapping of surface plasmon dispersion using imaging scatterometry
journal, June 2013

  • Constant, Thomas J.; Hibbins, Alastair P.; Lethbridge, Alfred J.
  • Applied Physics Letters, Vol. 102, Issue 25
  • DOI: 10.1063/1.4812482

Surface plasmons at the Brillouin zone boundary of an oblique lattice
journal, March 2015

  • Constant, Thomas J.; Vukusic, Pete; Hibbins, Alastair P.
  • Applied Physics Letters, Vol. 106, Issue 9
  • DOI: 10.1063/1.4914479

Photonic Crystals
book, January 2011


Temporal coupled-mode theory for the Fano resonance in optical resonators
journal, January 2003

  • Fan, Shanhui; Suh, Wonjoo; Joannopoulos, J. D.
  • Journal of the Optical Society of America A, Vol. 20, Issue 3
  • DOI: 10.1364/JOSAA.20.000569

Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities
journal, October 2004


Lower bound for the spatial extent of localized modes in photonic-crystal waveguides with small random imperfections
journal, June 2016

  • Faggiani, Rémi; Baron, Alexandre; Zang, Xiaorun
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep27037

Resonant scattering and second-harmonic spectroscopy of planar photonic crystal microcavities
journal, November 2005

  • McCutcheon, Murray W.; Rieger, Georg W.; Cheung, Iva W.
  • Applied Physics Letters, Vol. 87, Issue 22
  • DOI: 10.1063/1.2137898

Light scattering and Fano resonances in high-Q photonic crystal nanocavities
journal, February 2009

  • Galli, M.; Portalupi, S. L.; Belotti, M.
  • Applied Physics Letters, Vol. 94, Issue 7
  • DOI: 10.1063/1.3080683

Meep: A flexible free-software package for electromagnetic simulations by the FDTD method
journal, March 2010

  • Oskooi, Ardavan F.; Roundy, David; Ibanescu, Mihai
  • Computer Physics Communications, Vol. 181, Issue 3, p. 687-702
  • DOI: 10.1016/j.cpc.2009.11.008

Coherent Perfect Absorbers: Time-Reversed Lasers
journal, July 2010


Time-Reversed Lasing and Interferometric Control of Absorption
journal, February 2011


Critically coupled resonators in vertical geometry using a planar mirror and a 5 nm thick absorbing film
journal, January 2006

  • Tischler, Jonathan R.; Bradley, M. Scott; Bulović, Vladimir
  • Optics Letters, Vol. 31, Issue 13
  • DOI: 10.1364/OL.31.002045

Observation and Differentiation of Unique High-Q Optical Resonances Near Zero Wave Vector in Macroscopic Photonic Crystal Slabs
journal, August 2012


Emulating one-dimensional resonant Q -matching behavior in a two-dimensional system via Fano resonances
journal, December 2006


Density of states functions for photonic crystals
journal, January 2004


Analysis of guided resonances in photonic crystal slabs
journal, June 2002


Enabling enhanced emission and low-threshold lasing of organic molecules using special Fano resonances of macroscopic photonic crystals
journal, August 2013

  • Zhen, Bo; Chua, Song-Liang; Lee, Jeongwon
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 34
  • DOI: 10.1073/pnas.1311866110

Transparent displays enabled by resonant nanoparticle scattering
journal, January 2014

  • Hsu, Chia Wei; Zhen, Bo; Qiu, Wenjun
  • Nature Communications, Vol. 5, Article No. 3152
  • DOI: 10.1038/ncomms4152

A transparent projection screen based on plasmonic Ag nanocubes
journal, January 2015


Broadband angular selectivity of light at the nanoscale: Progress, applications, and outlook
journal, February 2016

  • Shen, Yichen; Hsu, Chia Wei; Yeng, Yi Xiang
  • Applied Physics Reviews, Vol. 3, Issue 1
  • DOI: 10.1063/1.4941257

Principles of Nano-Optics
book, January 2006


Spontaneous emission extraction and Purcell enhancement from thin-film 2-D photonic crystals
journal, January 1999

  • Boroditsky, M.; Vrijen, R.; Krauss, T. F.
  • Journal of Lightwave Technology, Vol. 17, Issue 11
  • DOI: 10.1109/50.803000

Enabling Enhanced Emission and Low Threshold Lasing of Organic Molecules Using Special Fano Resonances of Macroscopic Photonic Crystals
conference, January 2014


Fourier Plane Imaging Microscopy
conference, January 2015


Transparent Displays Enabled by Resonant Nanoparticle Scattering
conference, January 2014


Spawning Rings of Exceptional Points out of Dirac Cones
conference, January 2016

  • Zhen, Bo; Hsu, Chia Wei; Igarashi, Yuichi
  • CLEO: QELS_Fundamental Science, Conference on Lasers and Electro-Optics
  • DOI: 10.1364/cleo_qels.2016.ff2b.2

Observation of Trapped Light Within the Radiation Continuum
conference, January 2013


Exceptional contours and band structure design in parity-time symmetric photonic crystals
conference, January 2016


Superprism phenomena in photonic crystals
conference, January 1999

  • Kosaka, Hideo; Kawashima, Takayuki; Tomita, Akihisa
  • Quantum Optoelectronics
  • DOI: 10.1364/qo.1999.qma5

Fourier plane imaging microscopy
journal, November 2014


Coherent Perfect Absorbers: Time-reversed Lasers
conference, January 2010

  • Chong, Yidong; Ge, Li; Cao, Hui
  • Quantum Electronics and Laser Science Conference, Conference on Lasers and Electro-Optics 2010
  • DOI: 10.1364/qels.2010.qpda5

Fundamental limit of nanophotonic light-trapping in solar cells
conference, August 2010

  • Yu, Zongfu; Raman, Aaswath; Fan, Shanhui
  • SPIE Solar Energy + Technology, SPIE Proceedings
  • DOI: 10.1117/12.861457

Spawning Rings of Exceptional Points out of Dirac Cones
conference, January 2015

  • Zhen, Bo; Hsu, Chia Wei; Igarashi, Yuichi
  • Laser Science, Frontiers in Optics 2015
  • DOI: 10.1364/ls.2015.lm1h.1

Fundamental Limit of Nanophotonic Light-trapping in Solar Cells
conference, January 2010

  • Yu, Zongfu; Raman, Aaswath; Fan, Shanhui
  • Conference on Lasers and Electro-Optics 2010
  • DOI: 10.1364/cleo.2010.cml3

Photonic Crystals
book, December 2008


Structural Colors from Fano Resonances
text, January 2014


Exceptional contours and band structure design in parity-time symmetric photonic crystals
text, January 2016


Transparent displays enabled by resonant nanoparticle scattering
journal, January 2014

  • Hsu, Chia Wei; Zhen, Bo; Qiu, Wenjun
  • Nature Communications, Vol. 5, Article No. 3152
  • DOI: 10.1038/ncomms4152

Deep-subwavelength imaging of the modal dispersion of light
journal, August 2012

  • Sapienza, R.; Coenen, T.; Renger, J.
  • Nature Materials, Vol. 11, Issue 9
  • DOI: 10.1038/nmat3402

Enabling enhanced emission and low-threshold lasing of organic molecules using special Fano resonances of macroscopic photonic crystals
journal, August 2013

  • Zhen, Bo; Chua, Song-Liang; Lee, Jeongwon
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 34
  • DOI: 10.1073/pnas.1311866110

Radiative cooling of solar absorbers using a visibly transparent photonic crystal thermal blackbody
journal, September 2015

  • Zhu, Linxiao; Raman, Aaswath P.; Fan, Shanhui
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 40
  • DOI: 10.1073/pnas.1509453112

Deliberate versus intrinsic disorder in photonic crystal nanocavities investigated by resonant light scattering
journal, July 2011


Time-Reversed Lasing and Interferometric Control of Absorption
journal, February 2011


Exceptional contours and band structure design in parity-time symmetric photonic crystals
conference, January 2016


The influence of material absorption on the quality factor of photonic crystal cavities
journal, January 2009

  • Xu, Tao; Wheeler, Mark S.; Ruda, Harry E.
  • Optics Express, Vol. 17, Issue 10
  • DOI: 10.1364/oe.17.008343

Fabricating centimeter-scale high quality factor two-dimensional periodic photonic crystal slabs
journal, January 2014

  • Lee, Jeongwon; Zhen, Bo; Chua, Song-Liang
  • Optics Express, Vol. 22, Issue 3
  • DOI: 10.1364/oe.22.003724

Direct observation of surface plasmon-polariton dispersion
journal, January 2005


Direct image of surface plasmon-coupled emission by leaky radiation microscopy
text, January 2009


Coherent Perfect Absorbers: Time-reversed Lasers
text, January 2010


Fundamental Limit of Nanophotonic Light-trapping in Solar Cells
text, January 2010


Works referencing / citing this record:

Far-field probing of leaky topological states in all-dielectric metasurfaces
journal, March 2018


Topologically enabled ultrahigh-Q guided resonances robust to out-of-plane scattering
journal, October 2019


Beam splitting and unidirectional cloaking using anisotropic zero-index photonic crystals
journal, April 2019

  • Yang, Yuting; Jia, Ziyuan; Xu, Tao
  • Applied Physics Letters, Vol. 114, Issue 16
  • DOI: 10.1063/1.5088837

Hyperbolic metamaterials: From dispersion manipulation to applications
journal, February 2020

  • Guo, Zhiwei; Jiang, Haitao; Chen, Hong
  • Journal of Applied Physics, Vol. 127, Issue 7
  • DOI: 10.1063/1.5128679

Observation of bulk Fermi arc and polarization half charge from paired exceptional points
journal, January 2018