high-contrast grating mems optical phase-shifters for two...
TRANSCRIPT
High-contrast grating MEMS optical phase-shifters for two-dimensional free-space beam steering
Mischa Megensa, Byung-Wook Yoob, Trevor Chana, Weijian Yangb, Tianbo Sunb, Connie J. Chang-Hasnainb, Ming C. Wub, and David A. Horsleya,*
aDepartment of Mechanical and Aerospace Engineering, University of California at Davis, Davis, California 95616, United States; bDepartment of Electrical Engineering and Computer Sciences,
University of California, Berkeley, CA 94720, United States
ABSTRACT
We report an optical phased array (OPA) for two-dimensional free-space beam steering. The array is composed of tunable MEMS all-pass filters (APFs) based on polysilicon high contrast grating (HCG) mirrors. The cavity length of each APF is voltage controlled via an electrostatically-actuated HCG top mirror and a fixed DBR bottom mirror. The HCG mirrors are composed of only a single layer of polysilicon, achieving >99% reflectivity through the use of a subwavelength grating patterned into the polysilicon surface. Conventional metal-coated MEMS mirrors must be thick (1-50 μm) to prevent warpage arising from thermal and residual stress. The single material construction used here results in a high degree of flatness even in a thin 350 nm HCG mirror. Relative to beamsteering systems based on a single rotating MEMS mirror, which are typically limited to bandwidths below 50 kHz, the MEMS OPA described here has the advantage of greatly reduced mass and therefore achieves a bandwidth over 500 kHz. The APF structure affords large (~2π) phase shift at a small displacement (< 50 nm), an order-of-magnitude smaller than the displacement required in a single-mirror phase-shifter design. Precise control of each all-pass-filter is achieved through an interferometric phase measurement system, and beam steering is demonstrated using binary phase patterns.
Keywords: optical phased arrays, beam steering, micro electro mechanical systems, high contrast gratings, Gires-Tournois etalon, all-pass filters.
1. INTRODUCTION Optical phased arrays (OPAs)1,2 are versatile beam steering devices suitable for a variety of applications including LIDAR, free-space optical communication, 3D holographic displays, and high-resolution 3D imaging.3,4 An OPA consists of a two-dimensional (2D) array of phase shifters which impose a desired phase profile on an incoming beam of light. The constructive interference of the outgoing light waves forms the desired beam. An OPA is usually much faster than a single steering mirror, as individual phase shifters are much smaller and more nimble than a large scanning mirror.
The dominant OPA technology is based on liquid crystal phase shifters, which have been studied extensively since their initial demonstration using liquid crystal television panels.5,6 However, liquid crystals have limited operating speed because it takes tens of milliseconds for an electric field to reorient the molecules of the liquid crystal. More recently, micro-electromechanical systems (MEMS) have been used to produce OPAs.7,8 A typical MEMS-based phase shifter is realized by a “piston” mirror which is displaced to provide the desired phase shift. To increase the speed of such MEMS-based beam steering, we recently introduced phased arrays based on high contrast gratings (HCG’s), rather than mirrors.9–11 Unlike earlier multi-layer MEMS mirrors, these grating mirrors are made of a single dielectric layer, achieving high reflectivity (~99.9%) over a broad optical bandwidth.9,12 The HCG’s single-material construction results in greater manufacturability since residual stress is easily controlled when depositing the single polysilicon layer and the process eliminates the need for non-CMOS compatible metals such as gold. The HCG-OPA has the potential to operate at high optical power without warping due to mismatch in coefficient of thermal expansion and without the thermal damage that plagues mirrors composed of low melting-point metals (e.g. Au and Al). The thin, open structure of the grating mirrors greatly reduces its mass, and this increases the operating bandwidth of the OPA.
* [email protected]; phone: 1-530-341-3236, fax: 1-530-752-4158
Invited Paper
High Contrast Metastructures III, edited by Connie J. Chang-Hasnain, David Fattal, Fumio Koyama, Weimin Zhou, Proc. of SPIE Vol. 8995, 89950Q · © 2014 SPIE
CCC code: 0277-786X/14/$18 · doi: 10.1117/12.2045341
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Our HCGunderneath. Adisplacementsufficiently lthe springs, w
Here weemploying nGires-Tournothe top mirromirror separawhen the opthan an integslight electrophase shift ractuation. Usactuation vol
Figure 1.substrate.allowing layer andsteering.
G OPA’s are eAchieving a fut should remaarge to accommwhich impacts
e demonstrate ot just a singleois etalon. Theor, so the etaloation. Howeveptical path lenger number of wostatic attractiorelates to the rsing this conceltage. We demo
Scanning elect. Together the twit to move out o
d the tungsten gr
electrostaticallyull 2π phase shain smaller thamodate the desthe operating b
a way to rede mirror elemee bottom mirroon acts as an ar, the phase abgth of a roundwavelengths.
on of the top mreflectivity of
ept, we designeonstrate beam
tron micrographwo mirrors formof plane. It can round plane in t
y actuated by ahift requires a an about one-tsired stroke. Thbandwidth.
duce the operaent for each phor in such an etall-pass filter: nbruptly changed trip between The gap betwe
mirror to the botthe top mirro
ed a phase shifsteering with a
s of a High Conm a Gires-Tourno
be electrostaticathe substrate. An
applying a volmirror displac
third of the ghis either leads
ating voltage, hase shifter buttalon is designnearly all the is by 2π radianthe two mirro
een our mirror ttom mirror wi
or and can be fter with a banan 8×8 array of
ntrast Grating (Hois etalon. The Hally actuated by n 8×8 array of t
ltage between tcement of half
gap between ths to a high actu
or further inct rather a high
ned to have a reincident light i
ns when the etaors changes fro
pair is perchedill result in a ladesigned to m
ndwidth over 5f such all-pass-
HCG) mirror arrHCG mirror is su
applying a voltthese phase shif
the movable mf a wavelengthhe electrodes. uation voltage,
crease the bealy reflective meflectivity mucis always reflealon moves throm slightly shod close to sucharge phase shifmatch the stro00 kHz, large -filter mirrors.
ray, on top of auspended from ftage between thefters forms a pha
mirror and the sh. To avoid pul
The gap needor it requires s
am steering spmirror pair that ch closer to 10ected, regardlesrough a resonanorter to slightlyh a resonance, ft. The steepneke of the elecphase shifts, y
a DBR mirror infour flexure sprie polysilicon graased array for b
substrate ll-in, the ds to be softening
peed, by t forms a 00% than ss of the nce, i.e., y longer so that a
ess of the ctrostatic yet a low
n the ings, ating beam
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'VzN:l
Figure 1 shosubmicron pograting to msupported byof a tungstenapplying a velectrically inpolysilicon; iprovides a cdistributed Bcovers an areaddressable,
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Figure 2. the etalonshows thelayer), foshift meaincreasing
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where we hamirror surfacphase 2incidence, thFresnel coeff
ows the constrolysilicon bars
move towards y a silicon oxidn film beneath voltage betweensulated from it also supportscross section v
Bragg reflector ea of 20×20 μmand together fo
tom DBR mirrlight incident
Suitable phasee proper voltahe phase of suthin transparen
A Gires-Tournon can experiencee optical phase or various reflect
asured from the tgly becomes con
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ave used that ces. The reflec4 ⁄ , with he Fresnel coefficients are rel
2ruction of a ss in a firm squathe substrate.
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or of the phaseon the mirror
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ois etalon, consise multiple round of the combined ivities R of the ttop interface equncentrated near t
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2. PHASE single phase share frame. TheThe flexure s
e substrate incoamorphous silicn and the highby silicon oxidl wiring that cog the polysiliceath. An 8 by r pitch is 35 μmphased array t
e shifter is desipair will be re
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top interface of 0uals the round trithicknesses that
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flection R and
SHIFTER Dhifter element
e frame is suspsprings are attorporates a discon/silicon oxily doped poly
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e substrate, as s
arent layer (2) onhe interfaces (shoound trip phase 0, 50, 80, and 95ip phase to the bare half-integer
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DESIGN t. It consists oended from fotached to the tributed Braggide. The mirrosilicon gratingxide serves as
dividual mirrorupported by thh phase shiftersfactor is ~33%
eam steering.
a higher reflectbut with a ph
ained by tunin mirror to ther the simpler cshown in Figur
n a highly reflecown here at a sli(i.e., twice the o
5%. For 0% the tottom mirror; fomultiples of the
herently, and
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of a high contur thin flexuresubstrate usin
g reflector (DBr can be electr
g, via the anchthe sacrificial
rs to their voltahe low tempes is shown in F
%. The phase sh
tivity than the hase shift that g through thee DBR substrcase of a Fabrre 2(a).
ctive substrate (3ight angle for cla
optical thickness top mirror is absor higher R the ch wavelength.
their combined
epeated reflectated in Figure
wavelength of ⁄ , interface via
trast grating me springs that ang square anchBR) mirror that rostatically actuhor pads. The p
layer for releaage source. Figerature oxide, Figure 1(c). Eahifters are indi
HCG mirror adepends on th
e etalon resonarate. To quantry-Pérot interfe
3). Light incidenarity). The graphof the middle ent, and the phahange in phase
d amplitude re
tions between 2, and the rothe light. Forso | | |
mirror of allow the hor pads consists
uated by pads are asing the gure 1(b)
and the ach HCG ividually
above, so he mirror ance, by titatively erometer
nt on h
se
eflection
(1)
the two ound trip r normal
. These | and
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. A0 to ma
The phase sh
(Alternativelinterface. Thshown in Figinterface. If iphase to the bfor increasininteger numbseparation le
The calcthe mirrors atransmission dimensions othan that of th
Figure 3. (DBR) munderstoo
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with respect
where the rou
where Δ is th
Any light not ake the bottom
hift Φ follows f
y, the bottom his results in agure 2(b), for its reflectivity ibottom mirror,
ngly steep stepber of wavelenads to a large c
culation of the are now no lon
phase with reof the HCG anhe DBR. The H
A Gires-Tournomirror below, withod in terms of th
e polysilicon Hto the outer pla
und trip phase
he electrostatic Φ HCG
reflected musm interface high
from | |interface can
a sign change various reflecis 0%, then the, and the graphs of 2π near th
ngths. It is nearchange in phas
etalon reflectivnger infinitely tespect to the ound the DBR layHCG dimensio
ois etalon using ah dimensions of
he reflection and
HCG mirror is nanes of the hig
2 now incorp
displacement arctan 11
t be transmittehly reflective, th
Φ: tanΦ2also be made
for , and htivities R of th
e top interface mh is a straight lihe resonances
r such a resonase.
vity for an HCGthin, we have tuter surfaces oyers. The dime
ons are optimiz
a high contrast gf the mirror comptransmission of
not absorbing, h contrast grat
HCGporates the pha
2 HCGof the HCG. THCG ∙ DBRHCG ∙ DBR
ed, so 1hen we arrive a√1 √1 √1 √ tan
e highly reflecence an additihe top interfacmight as well nine. For higher, where the op
ance that we wa
G-DBR mirrorto be more speof the mirrors,ensions are deszed to provide a
grating (HCG) mponents indicate
f its components,
it is still true tting, it turns ou| HCG| | DBR1 | HCG|| DBRase shifts of the
DBR 2 2The resulting phRR tanφ arct
; this furthat the familiar .ctive by settinional π phase ce. The phase not be there, sor R, the phase sptical path lengant to poise ou
r pair closely foecific about the as shown in Fsigned so that a large window
mirror on top, anded. The reflection, as shown.
that 1ut that argR|R| ,e HCG and theΔ ,hase shift of thtan 1 HC1 HC
er simplifies eGires-Tournoi
ng ∞, moshift.) Graphs shift here is m
o the phase shishift becomes agth of a mirro
ur etalon, so a s
follows the deve phase. We deFigure 3. The the reflectivity
w of fabrication
d a distributed Bn of the mirror p
. With our defarg ⁄e DBR reflectio
he etalon is CG DBR⁄CG DBR⁄ tanφ
equation (1). Iis result:
ore akin to a of the phase
measured fromft equals the ro
almost constanor round trip esmall change i
velopment abovefine the reflecFigure also sh
y of the HCG n tolerance.10
Bragg reflector pair can be
finition of the p2, and we find
ons:
.
If we set
(2)
(3)
metallic shift are
m the top ound trip
nt, except quals an in mirror
ve. Since ction and hows the is lower
phase d that
(4)
(5)
(6)
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.,}V''
Since RDBR istend to cance
The last terman extra phasin the opposconsequencefront surface
Figure 3 shomeasured usito the phase going acrossand shifts the
Figure 4. shift for a
Figure 5shift vs. voltsince the mirThe HCG awavelengths,
PositionDBR, since Changing thparticular, if phase shiftersteering.
s close to 1, theel, hence the ph
m takes into accse delay if the site direction. in practice, si.
ows the phase ing phase shiftof a reflection the resonancee resonance tow
Measured phasea Gires-Tournois
5 provides a futage squared forror displacemeand DBR mirr, but the round
ing the mirrorsthe round trip
he operating wf the mirror gars demonstrate
e two arctangenhase shift of ou
Φ HCcount that in ophase shifter iHence the ac
ince the phase
3. shift versus w
ting interferomn from the areae of the all-pasward shorter w
e shift vs. wavels etalon. Applyin
rther confirmafor several wavent is expectedrors are suffic
d trip phase cha
s close to resonp phase due towavelength proap is too narroed here, we se
nt terms are almur device is clo
CG 2 arctanur device, the is actuated. In chievable phase change due to
RESULTSwavelength of
metry as outlinea in between thss filter. Apply
wavelengths, as
ength of the all-ng a voltage actu
ation that the pvelengths. Plotd to be approximciently broadb
anges, so the cu
nance to achieo the mirrors iovides some laow, then no apelected an op
most equal, anosely approxim1 HCG1 HCG ta
substrate is stacontrast, the p
se shift is sligo resonance is
S AND DISCf one of the aled in ref. 11, ushe mirrors nearying a modest
expected.
pass filter mirrouates the mirror
hase shifter is tting vs. squarmately proportband reflectorsurves shift acco
ve low voltageis about equallatitude, but nopplied voltage erating wavele
nd furthermore mated by
nφ 2ationary and th
phase due to thhtly smaller t
s much larger t
CUSSIONll pass filter msing a tunable rby. The phasevoltage attract
or of Figure 3. Thand shifts the re
working as dered voltage puttional to voltags that the refordingly.
e operation reqly important a
ot very much, can bring the ength of 1500
the RDBR and 1
2Δ.he front surfacee resonance (thhan 2π. Fortuthan that due t
mirrors in our laser source. T
e shows a largets the HGC mi
he curves are a f
esonance, as expe
esigned. This Fts these curves
ge squared, for flectivity is si
quires careful das that due to
as will be cletalon back in
0 nm to comfo
1/ RDBR in these
e is moving, lehe arctangent)
unately this is to displacemen
array. The phThe phase is ree change of cloirror towards t
fit to Eq. 7, phaseected.
Figure shows ths on the same electrostatic ac
imilar for the
design of the Hthe mirror sepear from Figunto resonance.fortably perform
e terms
(7)
eading to changes of little
nt of the
hase was ferenced
ose to 2π the DBR
e
he phase footing,
ctuation. various
HCG and paration. ure 5. In For the m beam
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n_
000000
\S
00 GGm=1
Figure 5. incremen
To put the areflecting froto the all-pasincreases witphase varies resonance. Factuation vol
Figure 6. shift of a larger pha
Beam stwith the phas7. The centrabinary patterup and down
Measured phasents.
advantage of aom the surface ss filter HCG.1th voltage, as tquadratically trom the Figureltage.
Comparison of single HCG phaase shift for a m
eering experimse of the mirroal spot in thesrns shown defln (for a pattern
e shift vs. voltag
an all-pass filtof a single act
2 In particular,the mirror gradtoo. In contraste it is apparent
the phase shift oase shifter (blue,
much reduced actu
ments were conors set to eitherse images is thect the beam sn of horizontal
ge squared, for v
ter mirror in ptuated HCG m, it has similar dually is pulledt, the phase of t that the all-pa
of our HCG-DBR, open symbols),uation voltage.
nducted with thr 0 or π radianshe 0th order besymmetrically l lines), to left
arious waveleng
perspective, wmirror, in Figur
resonant frequd in. Since the the all-pass filass filter provi
R all-pass filter p, with similar res
he 8×8 array ofs. Far field imaeam due to theto the four cort and right (for
gths from 1480 n
we compare itse 6. The HCGuency. For the displacement v
lter mirror decrides a larger ph
phase shifter (resonant frequency
f mirrors usingages for a selece modest 33% rners of the fier vertical lines
nm to 1530 nm, i
s phase shift w-only mirror isconventional Hvaries quadratireases as the ethase shift for a
ed, filled symboly. The all-pass fi
g a binary pattection of patternfill factor of
eld (for the ches), or diagonal
in 10 nm
with that achis comparable iHCG mirror, thically with volttalon tunes throa considerably
s) with the phasefilter achieves a
ern of phase shns are shown ithe present arreckerboard patlly (for a diago
ieved by n design he phase tage, the ough the reduced
e
hifts, i.e., n Figure ray. The ttern), or onal line
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pattern). SmacheckerboardA video of th
Figure 7. pattern be
Video 8. scan is av
A novel mideveloped fosuspended abactuated by athe mirror panumber of wlarge voltageactuation vol
aller deflectiond pattern. In fahe beam raster
A selection of below each panel
Beam steering. Ivailable at:
cro-electromecor fast beam stbove a distribuapplying a volair is poised cl
wavelengths. Ae-controlled phltage. We demo
n angles can beact, any beam pscanning over
beam patterns. Tshows the arran
Images for multi
chanical systemteering. The 8uted Bragg refltage between lose to resonan
A small mirror hase shift. In tonstrate beam
e obtained by aposition inside the square is a
The dashed rectanngement of mirro
iple beam positi
4. COms optical ph×8 array of phflector mirror a grating mirronce, where thedisplacement
this way we acsteering with a
applying a morthe dashed sq
available online
ngle in the first pors switched on o
ons are superimp
ONCLUSIOhase shifter bahase shifters cosubstrate usingor and the sub
e round trip opthen suffices tchieve a widean 8×8 array of
re coarsely struquare can be ree.
panel outlines thor off (π or zero
posed here. A vi
ONS ased on an aonsist of lightwg flexure sprin
bstrate. The miptical path lengto pull the mir operating banf these all-pass
uctured patternached by apply
he maximum steephase shift).
ideo of the beam
all-pass filter hweight high co
ngs. The mirroirror separationgth is slightly lrrors through rndwidth of oves-filter mirrors.
, as illustrated ying a suitable
ering range. The
m making a raster
has been succontrast grating
ors are electrosn is designed slonger than anresonance, leader 500 kHz, fo
with the e pattern.
e
r
cessfully g mirrors statically such that n integral ding to a or a low
http://dx.doi.org/10.1117/12.2045341.1
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ACKNOWLEDGEMENTS This work was supported by the DARPA SWEEPER program (Grant No. HR0011-10-2-0002). Devices were fabricated at the Marvell Nanofabrication Laboratory at UC Berkeley.
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