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NANOPHOTONICS Purcell effect for active tuning of light scattering from semiconductor optical antennas Aaron L. Holsteen, 1 Søren Raza, 1 Pengyu Fan, 1 Pieter G. Kik, 1,2 Mark L. Brongersma 1 * Subwavelength, highrefractive index semiconductor nanostructures support optical resonances that endow them with valuable antenna functions. Control over the intrinsic properties, including their complex refractive index, size, and geometry, has been used to manipulate fundamental light absorption, scattering, and emission processes in nanostructured optoelectronic devices. In this study, we harness the electric and magnetic resonances of such antennas to achieve a very strong dependence of the optical properties on the external environment. Specifically, we illustrate how the resonant scattering wavelength of single silicon nanowires is tunable across the entire visible spectrum by simply moving the height of the nanowires above a metallic mirror. We apply this concept by using a nanoelectromechanical platform to demonstrate active tuning. H igh-index semiconductor nanostructures display a diverse set of optical resonances that can give rise to structural color (1) and facilitate effective light manipulation at the nanoscale (2). The optical resonances are tunable by manipulation of properties such as refractive index, size, and geometry, akin to the adaptability of metallic nanoparticles that support plasmonic resonances. A multipole analysis of the light scattering process provides valuable insights into the resonances that give rise to specific op- tical functionalities (37). We demonstrate that bringing these nanostructures into close proxim- ity of a reflective surface can markedly enhance or suppress the interaction with selected multi- poles. This is reminiscent of the Purcell effect in quantum optics, which dictates that the internal decay of an excited quantum emitter can be mod- ified by placing it near a mirror or into a resonant cavity (8, 9). From studies on quantum objects placed in tailored environments, it is also known that surface selection rules can emerge that have a substantial effect on processes such as fluores- cent decay or Raman scattering (10). We illustrate these concepts for the lowest-order resonances of judiciously sized Si nanowires (NWs) and dem- onstrate active tuning of the structural color of a Si NW across the visible spectrum with a nano- electromechanical device. We first analyzed the white-light scattering from Si NWs above an aluminum (Al) mirror at different heights (Fig. 1A). Si NWs grown by chemical vapor deposition were deposited on a quartz substrate and then suspended above an Al-coated plano-convex lens with a large radius of curvature (r m = 10 mm). This con- figuration affords nanometer-scale control over the NW height above the metal surface by slid- ing the quartz substrate in a plane normal to the optical axis of the Al mirror. A topographic map of this mirror was created by charting the Newtons rings resulting from the interference of mono- chromatic light between the air-quartz interface and the mirror (Fig. 1B) (11). The volume be- tween the quartz slide and mirror was sub- sequently filled with an index-matching oil to produce an optically homogeneous medium around the NW. In this configuration, the scattered light inten- sity from a NW is no longer just a function of the intrinsic NW properties. It is also dependent on the NW height above the mirror, as it can modify the excitation of relevant NW modes and the subsequent collection of the scattered fields by a detector. This can be seen by considering an exci- tation plane wave with an intensity I 0 and a wave vector of a magnitude 2p/l (l, wavelength) that is incident on the mirror at an off-normal angle f . The mirror reflection generates a standing wave above the mirror (Fig. 1C). On the basis of the spatial variations in the field magnitudes, one can expect concomitant variations in the excitation efficiency of the supported NW resonances. We initially consider an idealized scenario in which the mirror is taken as a perfect electrical conduc- tor (PEC) and the near-field interactions between the NW and substrate are neglected. This serves as a valuable reference case, as a high-conductivity Al mirror approximates a PEC and the considered NW height h in our experiments is typically suf- ficiently large ð2kh 1Þ to ensure a minimal effect of near-field interactions [supplementary text sec- tions S1 to S3 (12)]. For this case, a simple ex- pression can be written for enhancements in local electric and magnetic fields h Ei e ðf; hÞ and h Hi e ðf; hÞ of the excitation standing wave [supple- mentary text sections S2 and S3 (12)]. For off- normal incidence angles, field enhancements can be seen in both the horizontal ðÞ plane and the direction normal ðÞ to the mirror surface, as de- noted by the label i. Similar height-dependent variations appear in the process of collecting scattered light from the NW by a finite-sized detector. These varia- tions result from the interference between light that is directly scattered toward the detector and light entering this detector after reflecting from the surface. The strength of this interference is again dependent on h but also on the collection angle q (13, 14). These additional height-dependent variations in the measured intensity are under- stood from a reciprocity argument; that is, by an- alyzing the properties of a plane wave sent back from the location of the photodetector toward the NW and the mirror. If the resulting collection standing wave can effectively excite a NW reso- nance of interest, then conversely the resonantly excited NW can scatter light effectively toward the detector. The collection efficiency can be linked to the field enhancements h Ei c ðq; hÞ and h Hi c ðq; hÞ for the collection standing wave. As the scattered intensity relies on an efficient ex- citation followed by an efficient collection, it will be functionally dependent on products of field enhancements for the excitation and collection plane waves in the form h Hi t ¼ h Hi e ðf; hÞh Hi c ðq; hÞ and h Ei t ¼ h Ei e ðf; hÞh Ei c ðq; hÞ . Because the excita- tion and collection efficiencies have different spa- tial periodicities, the total efficiency contains a beating pattern that depends on f and q. For the experimentally relevant case that a detector collects light normal to the surface ðq ¼ pÞ, the far-field scattered intensity (I ff ) can be written in an intuitive form [supplementary text sections S2 and S3 (12)] I ff ðr; fÞ I0 ¼ 2 pkr f h Ht a0 2h Et X m¼1;3;cosðmfÞam þ 2h Ht X m¼2;4;cosðmfÞa m j 2 TE h Et b 0 2h Ht X m¼1;3;cosðmfÞb m þ 2h Et X m¼2;4;cosðmfÞb m j 2 TM where m is an integer that labels the relevant Mie coefficients a m and b m that quantify the excita- tion strength of the various multipolar resonances of a cylindrical NW illuminated in free space (3) and r is the observation distance. Different reso- nances are excited for the transverse-magnetic (TM) and transverse-electric (TE) polarizations that feature incident electric and magnetic fields parallel to the Si NW axis, respectively. When light is collected in a direction normal to the metal sur- face, only enhancements in the electric and mag- netic fields in the horizontal plane are relevant, as they can drive NW resonances capable of scattering light upward to the detector. As such, the quantities h Ht and h Et describe the relevant beating pattern of the excitation and collection plane waves that govern the scattered intensity in this experimental geometry. Depending on the symmetry proper- ties of the relevant multipoles, the resonances are RESEARCH Holsteen et al., Science 358, 14071410 (2017) 15 December 2017 1 of 4 1 Geballe Laboratory for Advanced Materials, Stanford University, Stanford, CA 94305, USA. 2 CREOL, The College of Optics and Photonics, University of Central Florida, Orlando, FL 32816, USA. *Corresponding author. Email: [email protected] (1) on February 15, 2021 http://science.sciencemag.org/ Downloaded from
Transcript
Page 1: NANOPHOTONICS Purcell effect foractive tuning of light ... · optical antennas Aaron L. Holsteen, 1Søren Raza, Pengyu Fan,1 Pieter G. Kik,1,2 Mark L. Brongersma * Subwavelength,

NANOPHOTONICS

Purcell effect for active tuning of lightscattering from semiconductoroptical antennasAaron L. Holsteen,1 Søren Raza,1 Pengyu Fan,1 Pieter G. Kik,1,2 Mark L. Brongersma1*

Subwavelength, high–refractive index semiconductor nanostructures support opticalresonances that endow them with valuable antenna functions. Control over the intrinsicproperties, including their complex refractive index, size, and geometry, has beenused to manipulate fundamental light absorption, scattering, and emission processesin nanostructured optoelectronic devices. In this study, we harness the electric andmagnetic resonances of such antennas to achieve a very strong dependence ofthe optical properties on the external environment. Specifically, we illustrate howthe resonant scattering wavelength of single silicon nanowires is tunable across theentire visible spectrum by simply moving the height of the nanowires above a metallicmirror. We apply this concept by using a nanoelectromechanical platform todemonstrate active tuning.

High-index semiconductor nanostructuresdisplay a diverse set of optical resonancesthat can give rise to structural color (1) andfacilitate effective lightmanipulation at thenanoscale (2). The optical resonances are

tunable by manipulation of properties such asrefractive index, size, and geometry, akin to theadaptability ofmetallic nanoparticles that supportplasmonic resonances. A multipole analysis of thelight scattering process provides valuable insightsinto the resonances that give rise to specific op-tical functionalities (3–7). We demonstrate thatbringing these nanostructures into close proxim-ity of a reflective surface can markedly enhanceor suppress the interaction with selected multi-poles. This is reminiscent of the Purcell effect inquantum optics, which dictates that the internaldecay of an excited quantum emitter can bemod-ified by placing it near amirror or into a resonantcavity (8, 9). From studies on quantum objectsplaced in tailored environments, it is also knownthat surface selection rules can emerge that havea substantial effect on processes such as fluores-cent decay or Raman scattering (10). We illustratethese concepts for the lowest-order resonances ofjudiciously sized Si nanowires (NWs) and dem-onstrate active tuning of the structural color of aSi NW across the visible spectrum with a nano-electromechanical device.We first analyzed the white-light scattering

from Si NWs above an aluminum (Al) mirror atdifferent heights (Fig. 1A). Si NWs grown bychemical vapor deposition were deposited ona quartz substrate and then suspended abovean Al-coated plano-convex lens with a largeradius of curvature (rm = 10 mm). This con-figuration affords nanometer-scale control over

the NW height above the metal surface by slid-ing the quartz substrate in a plane normal to theoptical axis of the Almirror. A topographicmap ofthis mirror was created by charting the Newton’srings resulting from the interference of mono-chromatic light between the air-quartz interfaceand the mirror (Fig. 1B) (11). The volume be-tween the quartz slide and mirror was sub-sequently filled with an index-matching oil toproduce an optically homogeneous mediumaround the NW.In this configuration, the scattered light inten-

sity from a NW is no longer just a function of theintrinsic NW properties. It is also dependent onthe NWheight above the mirror, as it canmodifythe excitation of relevant NW modes and thesubsequent collection of the scattered fields by adetector. This can be seen by considering an exci-tation planewavewith an intensity I0 and awavevector of a magnitude 2p/l (l, wavelength) thatis incident on themirror at an off-normal anglef.Themirror reflection generates a standingwaveabove the mirror (Fig. 1C). On the basis of thespatial variations in the fieldmagnitudes, one canexpect concomitant variations in the excitationefficiency of the supported NW resonances. Weinitially consider an idealized scenario in whichthe mirror is taken as a perfect electrical conduc-tor (PEC) and the near-field interactions betweenthe NW and substrate are neglected. This servesas a valuable reference case, as a high-conductivityAlmirror approximates a PEC and the consideredNW height h in our experiments is typically suf-ficiently largeð2kh ≫ 1Þ to ensure aminimal effectof near-field interactions [supplementary text sec-tions S1 to S3 (12)]. For this case, a simple ex-pression can be written for enhancements inlocal electric and magnetic fields hEi

e ðf; hÞ andhHie ðf; hÞ of the excitation standing wave [supple-

mentary text sections S2 and S3 (12)]. For off-normal incidence angles, field enhancements canbe seen in both the horizontal ð∥Þ plane and the

direction normal ð⊥Þ to the mirror surface, as de-noted by the label i.Similar height-dependent variations appear

in the process of collecting scattered light fromthe NW by a finite-sized detector. These varia-tions result from the interference between lightthat is directly scattered toward the detector andlight entering this detector after reflecting fromthe surface. The strength of this interference isagain dependent on h but also on the collectionangle q (13, 14). These additional height-dependentvariations in the measured intensity are under-stood from a reciprocity argument; that is, by an-alyzing the properties of a plane wave sent backfrom the location of the photodetector toward theNW and the mirror. If the resulting collectionstanding wave can effectively excite a NW reso-nance of interest, then conversely the resonantlyexcited NW can scatter light effectively towardthe detector. The collection efficiency can belinked to the field enhancements hEi

c ðq; hÞ andhHic ðq; hÞ for the collection standing wave. Asthe scattered intensity relies on an efficient ex-citation followed by an efficient collection, it willbe functionally dependent on products of fieldenhancements for the excitation and collectionplane waves in the form hHi

t ¼ hHie ðf; hÞhHi

c ðq; hÞand hEi

t ¼ hEie ðf; hÞhEi

c ðq; hÞ. Because the excita-tion and collection efficiencies have different spa-tial periodicities, the total efficiency contains abeating pattern that depends on f and q.For the experimentally relevant case that

a detector collects light normal to the surfaceðq ¼ pÞ, the far-field scattered intensity (Iff) canbe written in an intuitive form [supplementarytext sections S2 and S3 (12)]

I ffðr; fÞI0

¼ 2

pkr f hH∥t a0 � 2hE∥

t

X

m¼1;3;…

cosðmfÞam�����

þ 2hH∥t

X

m¼2;4;…

cosðmfÞamj2 TE

hE∥t b0 � 2hH∥

t

X

m¼1;3;…

cosðmfÞbm�����

þ 2hE∥t

X

m¼2;4;…

cosðmfÞbmj2 TM

wherem is an integer that labels the relevantMiecoefficients am and bm that quantify the excita-tion strength of the variousmultipolar resonancesof a cylindrical NW illuminated in free space (3)and r is the observation distance. Different reso-nances are excited for the transverse-magnetic(TM) and transverse-electric (TE) polarizationsthat feature incident electric and magnetic fieldsparallel to the SiNWaxis, respectively.When lightis collected in a direction normal to the metal sur-face, only enhancements in the electric andmag-netic fields in the horizontal plane are relevant, asthey candriveNWresonances capable of scatteringlightupward to thedetector. As such, thequantitieshH∥t andhE∥

t describe the relevant beating patternof the excitation and collection planewaves thatgovern the scattered intensity in this experimentalgeometry. Depending on the symmetry proper-ties of the relevantmultipoles, the resonances are

RESEARCH

Holsteen et al., Science 358, 1407–1410 (2017) 15 December 2017 1 of 4

1Geballe Laboratory for Advanced Materials, StanfordUniversity, Stanford, CA 94305, USA. 2CREOL, The Collegeof Optics and Photonics, University of Central Florida,Orlando, FL 32816, USA.*Corresponding author. Email: [email protected]

(1)

on February 15, 2021

http://science.sciencem

ag.org/D

ownloaded from

Page 2: NANOPHOTONICS Purcell effect foractive tuning of light ... · optical antennas Aaron L. Holsteen, 1Søren Raza, Pengyu Fan,1 Pieter G. Kik,1,2 Mark L. Brongersma * Subwavelength,

most effectively excited at maximums in eitherthe electric or magnetic field.Figure 1E shows an example of a 50-nm–

diameter Si NW that is brought toward an Almirror. Dark-field images of this NW, usingunpolarized white light, show substantial colorchanges as its height above the mirror changesby only a few hundred nanometers. A Si NWwitha diameter this small supports only the lowest-order TM resonance with one electric field max-imum in the core. It serves as a linear electricdipole, with scattering intensity governed by theMie coefficient b0. When the NW is 20 mm fromthemirror, the NW appears white, as it features aspectrally broad resonance in the scattering ef-ficiency (Qsca). However, when theNW is closer tothe mirror, the peak wavelength for this reso-nance is modified and can be tuned across thevisible spectrum (Fig. 1F).To systematically study the selective excitation

of the first twoMie resonances for both polariza-tions at a range of heights, we used electron beamlithography and reactive ion etching to fabricatea 105-nm-wide and 100-mm-long Si NW (Fig. 2A).

For both TE and TM polarizations (Fig. 2B), wemeasuredand calculated the scattering efficienciesof the Si NWwithout themirror (Fig. 2, C andD).The scattering calculations were performed usingMie theory for a Si cylinder in free space. Thecorresponding optical images of the NWs areshown next to the spectrums, displaying a uni-form color. The gray dotted line represents thesimulated spectrum of Qsca, whereas the blackdotted line denotes the partial scattering efficiencyobtained by integrating the differential scatteringefficiency over the collection solid angle of theobjective. We find that the latter matches theexperimental scattering spectra substantiallybetter than the total scattering efficiency, in-dicating the importance of accounting for theanisotropic scattering properties of these NWs[supplementary text section S4 (12)]. The peaksin the total scattering efficiency identify the spec-tral locations of the supported Mie resonances.The field maps for the resonances are shown asinsets and facilitate a classification accordingto their dipolar nature. The a1 and b0 Mie co-efficients are associated with electric dipole (ED)

resonances. Similarly, the a0 and b1 Mie coef-ficients can be linked to magnetic dipole (MD)resonances.Light scattering spectrawere taken for different

wire heights above the mirror in the range from0 to 2 mm and cascaded to create maps of thespectral and height dependent scattering proper-ties of the NWs (Fig. 2, E and F). Adjacent to thesemaps, one can see the dark-field white-light scat-tering images of the NWs. Strong scattering isobserved in the spectral region correspondingto the different Mie resonances, and the colorvaries substantially along the NW length. Thisis explained by the fact the scattering intensityat each resonance wavelength is modulated asthe NW height changes. To explore the validityof the proposed analytical model, we first cal-culated the composite standing field profiles (i.e.,hH∥t andhE∥

t ) [supplementary text section S3 (12)].Themaxima in the in-plane electric (black) andmagnetic (white) fields for f = 37° and q = 180°are overlaid on the map and seen to intersect ex-perimental maxima in the scattering intensity. Thestrong scattering from electric (magnetic) dipole

Holsteen et al., Science 358, 1407–1410 (2017) 15 December 2017 2 of 4

Distance from mirror center (µm)

Hei

ght (

µm)

0

1.0

2.0

3.0

4.0

0 50 100 150 200 250

Radial Intensity (a.u.)

0.1

0.2

0.3

0.4

0.5

.Ei kiHi

.rH rk

h

|E|2

0 1

mirror

p

|E|2

0 1

h

π − θ

mirror

λ(nm)450 550 650 750

0

0.5

1

420 nm340 nm230 nm

Inte

nsity

(a.

u.)

20 µm

420 nm

340 nm

230 nm

220 - 350 nm

Convex MirrorQuartz Coverslip

Quartz

Mirror Oil

SiNW

Quartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz CoverslipQuartz Coverslip

Fig. 1. Light scattering from Si NWs near a mirror. (A) Configurationof the suspended NWs. (B) Light intensity of Newton’s rings (inset)imaged at 500 nm (blue trace), showing that the minimums in theinterference pattern (red squares) map the parabolic mirror surface (blackdashed line). a.u., arbitrary units. (C and D) Standing wave intensityfrom an incident (C) and collected (D) TM-polarized plane wave. E, electric

field; h, NW height; Ei, incident electric field; ki, incident wave vector; Hi,incident magnetic field, Er, reflected electric field; kr, reflected wave vector; Hr,

reflected magnetic field; p→, dipolar scatterer; f, angle of the incident plane

wave; q, collection angle. (E) Optical images from a single silicon NW atvarious heights above the mirror shown in (A). Scale bar, 5 mm. (F) Dark-fieldscattering spectra from three heights shown in (E).

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resonances occurs when theNW is located at oneof the electric (magnetic) fieldmaxima. The com-plete solution for this experimental configura-tion, including real material parameters andnear-field interactions, was also solved analyti-cally using the method described in (13), and thefar-field scattered intensities are shown in Fig. 2,G and H.The presence of the mirror results in enhance-

ments in light scattering that are reminiscent ofthe changes in Raman scattering and fluorescentemissionwhenmolecules are placed near amirror(8, 9, 15). When the total scattered power with the

mirror present is normalized by the total scatteredpower in free space, enhancements are observedfor each mode orderm

F TEm¼0 ≅ ½1þ J0ð2khÞ�jhHe ðfÞj2 ð2Þ

F TEm¼�1;1 ≅ ½1þ J2ð2khÞ�jhEe ðfÞj2 ð3Þ

F TMm¼0 ≅ ½1� J0ð2khÞ�jhEe ðfÞj2 ð4Þ

FTMm¼�1;1 ≅ ½1� J2ð2khÞ�jhHe ðfÞj2 ð5Þ

where Jm is the Bessel function of the first kind[supplementary text sections S6 and S7 (12)]. Inthese products, the first terms with the Besselfunction describe the radiative decay rate enhance-ment, and the second terms (jhEe ðfÞj2 or jhHe ðfÞj2)quantify the excitation efficiency enhancementsseen in the presence of a mirror. The decay rateenhancements are analogous to the Purcell ef-fect and are directly connected to the local den-sity of optical states (LDOS) [supplementary text

Holsteen et al., Science 358, 1407–1410 (2017) 15 December 2017 3 of 4

Fig. 2. Dipolar modescontributing to lightscattering from aSi NW near a mirror.(A) Experimentalconfiguration for theresults shown in (E) to(H). f is the angle ofthe incident plane wave.(B) The polarizationconvention for thiswork. (C and D) Finite-difference time-domain(FDTD) simulation of thetotal scattering crosssection collected at allangles (gray dottedlines), with the electricand magnetic fieldprofiles on resonance(insets) for bothpolarizations. Theexperimentally collectedscattering spectrum(solid lines) and thecorresponding FDTDsimulated differentialscattering efficiencycollected within a0.7–numerical apertureobjective through thequartz handle wafer(black dotted lines).The insets show thefield magnitude mapsfor each resonancelabeled as eitherelectric dipole–like(ED) or magneticdipole–like (MD).Qsca, scatteringefficiency; TE,transverse-electricpolarization; TM,transverse-magneticpolarization. (E andF) Experimentally collected light scattering spectra at heightsranging from 0 to 2000 nm for TE and TM polarization with a scaleof arbitrary units. Dark-field images of the NW vertically scaledto compensate for the parabolic shape of the mirror are shownto the right of each plot. The simulated electric (black) and magnetic(white) field maxima are overlaid, with the width of the lines

corresponding to the magnitude of the field maxima. (G and H) Analyticmodel of far-field diffracted light scattered from a Si NW abovean Al mirror for both polarizations, showing the ratio of the intensityof the scattered light (Iff) to the incident intensity (I0) collectednormal to the mirror plane where the observation distance isr = 2/(pk).

0

500

1000

1500

Hei

ght

(nm

)

x

Ei

kiHi

mirror

TE

.Ei ki

Hi

mirror

TM

0

500

1000

1500

Hei

ght

(nm

) Q

sca

0

4

8 TM11

TM 01

No Mirror

6x6x

ED

MD

0

0.5

1|E|2

Qsc

a

0

1

2

3

TE11 TE01

No Mirror

3x

3x

EDMD

0

0.5

1|H|2

400 500 600 700 8000

500

1000

1500

2000

5

10

15

20

25

λ (nm)

Hei

ght

(nm

)

o/ Ι

ff Ι T

M (θ

= 1

80 )o

400 500 600 700 8000

500

1000

1500

2000

5

10

15

Ι T

E (θ

= 1

80 )

λ (nm)

Hei

ght

(nm

)

ffo

/ Ιo

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Page 4: NANOPHOTONICS Purcell effect foractive tuning of light ... · optical antennas Aaron L. Holsteen, 1Søren Raza, Pengyu Fan,1 Pieter G. Kik,1,2 Mark L. Brongersma * Subwavelength,

section S7 (12)]. LDOS highlights the classicalnature of this effect, with the magnitude of thescattering efficiency determined by optical inter-ference. Similarly, the Purcell effect has also beenobserved for Rayleigh scattering from moleculesin a cavity (16). For selected heights, a mirror canenhance the total scattered power more thanfive times for m = 0 and more than twice form = ±1 modes, as compared with the free-spacecondition for both polarizations. This enhance-ment in the scattering efficiency from the NWnear the mirror takes into account the scat-tering to all directions. When only one specificfar-field scattering direction is chosen, even fur-ther enhancement values can be observed. Fornormally incident excitation and collection fromaNW, a 16-fold enhancement over the free-spacescattered light intensity can be expected as theexcitation and collection efficiencies are enhancedby a factor of 4.We developed a nanoelectromechanical system

(NEMS) platform to actively tune the scatteringintensity and spectral properties of a NW. Re-configurable nanomechanical structures have re-cently received considerable interest from thenanophotonics community for their low-powerand high-frequency operation (17). We fabricateda 50-nm-wide Si NW with a square cross sectionwithin an underetched frame patterned into asilicon-on-insulator wafer (12). Such a small NWsupports only the lowest-order TM resonance.The dark-field scattering shows a uniform coloralong its length, indicating that the NW widthand height are constant (Fig. 3B). For voltagesfrom 0 to 2.75 V, we were able to tune the singlescattering peak across a large part of the visible

spectrum from 700 to 520 nm (Fig. 3, C andD), inagreement with simulations (fig. S10). As long asnonreversible pull-in is avoided, the device canbe reversibly tuned for more than 2 billion cycleswithout degradation with a maximum modula-tion near the fundamental mechanical resonancemode at 1 MHz (Fig. 3, E and F). For single-wavelength operation, this device can act as anintensity modulator. If we choose a spectral loca-tion such as 800 nmon the shoulder of one of theresonances, an intensitymodulation ratio as largeas 10 dB is achieved.We have demonstrated how the presence of a

mirror can substantially modify the excitationand collection of scattered light fromNWs, evenfor wavelength-scale separations. These modifi-cations are very different for the electrical andmagnetic dipole resonances supported by theNWs. As a result, both the light scattering in-tensity and the spectral properties of suspendedNWs are altered substantially. We made a rigor-ous link to the enhancements and suppressionsassociated with the Purcell effect observed forquantum objects. Looking forward, we envisionthat these NW devices will be used as buildingblocks for a range of active, integrated opto-electronic functionalities.

REFERENCES AND NOTES

1. S. Kinoshita, S. Yoshioka, ChemPhysChem 6, 1442–1459(2005).

2. A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma,Y. S. Kivshar, B. Luk’yanchuk, Science 354, aag2472(2016).

3. C. Bohren, D. Huffman, Absorption and Scattering of Light bySmall Particles (Wiley, 1983).

4. L. Novotny, B. Hecht, Principles of Nano-Optics (CambridgeUniv. Press, 2006).

5. L. Cao, P. Fan, M. L. Brongersma, Nano Lett. 11, 1463–1468(2011).

6. L. Cao et al., Nat. Mater. 8, 643–647 (2009).7. A. B. Evlyukhin, C. Reinhardt, E. Evlyukhin, B. N. Chichkov,

J. Opt. Soc. Am. B 30, 2589–2598 (2013).8. R. R. Chance, A. Prock, R. Silbey, in Advances in Chemical

Physics (Wiley, 1978), vol. 37, pp. 1–65.9. G. W. Ford, W. H. Weber, Phys. Rep. 113, 195–287

(1984).10. M. Moskovits, J. Chem. Phys. 77, 4408–4416 (1982).11. S. Karaveli, A. J. Weinstein, R. Zia, Nano Lett. 13, 2264–2269

(2013).12. See supplementary materials.13. R. Borghi, M. Santarsiero, F. Frezza, G. Schettini,

J. Opt. Soc. Am. A 14, 1500–1504 (1997).14. R. Borghi, F. Frezza, G. Schettini, F. Gori, M. Santarsiero,

J. Opt. Soc. Am. A 13, 483–493 (1996).15. M. Moskovits, Rev. Mod. Phys. 57, 783–826

(1985).16. M. Motsch, M. Zeppenfeld, P. W. H. Pinkse, G. Rempe,

New J. Phys. 12, 063022 (2010).17. N. I. Zheludev, E. Plum, Nat. Nanotechnol. 11, 16–22

(2016).

ACKNOWLEDGMENTS

This research was supported by the U.S. Air Force Office ofScientific Research (grant FA9550-14-1-0389) and the Samsungcorporation. A.L.H. acknowledges a National Defense Scienceand Engineering Graduate Fellowship. S.R. acknowledgessupport by a grant (VKR023371) from VILLUM FONDEN. Wethank R. Zia for valuable discussions. M.L.B. and A.L.H. areinventors on patent application 62/486742 held and submittedby Stanford University that covers NEMS actuated high-indexoptical antennas for light manipulation and control.

SUPPLEMENTARY MATERIALS

www.sciencemag.org/content/358/6369/1407/suppl/DC1Materials and MethodsSupplementary TextFigs. S1 to S11References (18–20)

31 July 2017; accepted 15 November 201710.1126/science.aao5371

Holsteen et al., Science 358, 1407–1410 (2017) 15 December 2017 4 of 4

0.00 V

1.00 V

1.50 V

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2.25 V

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2.75 Vλ (nm)

500 600 700 800 9000

0.5

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0.00 V1.00 V1.50 V

2.00 V2.25 V2.50 V2.75 V

Inte

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(a.

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Time (s)

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900800700600500050

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Time (s)0 50 100

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Mo

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B)

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530 nm

700 nm

800 nmFig. 3. Active tuning of light scattering with a nanoelectromechanicaldevice. (A) Scanning electron micrograph of a fabricated device with asuspended Si NW of ~60 nm in width. Scale bars, 2 mm (main panel);100 nm (inset) (B) Dark-field scattering image of the device shown in(A). (C) Dark-field scattering spectra confocally collected from the Si NWunder applied bias and TM polarization. (D) Dark-field images of the NW ateach bias shown in (C). Scale bar, 2 mm. (E) Dark-field scattering shownover time as the bias is turned on and off for 10 cycles at 6-s switchingintervals. (F) Modulation in the intensity for selected wavelengths overthe 10 switching cycles, showing repeatable and consistent amplitudecontrol for applied biases of 0 and 2.75 V.

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Page 5: NANOPHOTONICS Purcell effect foractive tuning of light ... · optical antennas Aaron L. Holsteen, 1Søren Raza, Pengyu Fan,1 Pieter G. Kik,1,2 Mark L. Brongersma * Subwavelength,

Purcell effect for active tuning of light scattering from semiconductor optical antennasAaron L. Holsteen, Søren Raza, Pengyu Fan, Pieter G. Kik and Mark L. Brongersma

DOI: 10.1126/science.aao5371 (6369), 1407-1410.358Science 

, this issue p. 1407Sciencenano-electromechanical system illustrates the potential for developing active optical platforms.across the entire visible spectrum simply by adjusting the height of the nanowire above a metallic mirror. This

tuned the resonant scattering wavelength of silicon nanowireset al.properties under an external stimulus. Holsteen scale. Most devices developed to date have been passive structures or have shown only modest changes in optical

The development of nanophotonic technology relies on the ability to control and manipulate light at the nanometerTuning the scattering of light

ARTICLE TOOLS http://science.sciencemag.org/content/358/6369/1407

MATERIALSSUPPLEMENTARY http://science.sciencemag.org/content/suppl/2017/12/13/358.6369.1407.DC1

REFERENCES

http://science.sciencemag.org/content/358/6369/1407#BIBLThis article cites 14 articles, 1 of which you can access for free

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is a registered trademark of AAAS.ScienceScience, 1200 New York Avenue NW, Washington, DC 20005. The title (print ISSN 0036-8075; online ISSN 1095-9203) is published by the American Association for the Advancement ofScience

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