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Preview Performance of a novel PMMA polymer imaging bundle for field acquisition and wavefront sensing

Publications of the Astronomical Society of Australia(PASA) (cid:13)c AstronomicalSocietyofAustralia2017;publishedbyCambridgeUniversityPress. doi:10.1017/pas.2017.xxx. Performance of a novel PMMA polymer imaging bundle for field acquisition and wavefront sensing S. N. Richards1,2,3,4∗, S. Leon-Saval1,4, M. Goodwin2 J. Zheng2, J. S. Lawrence2, J. J. Bryant1,2,3, 7 J. Bland-Hawthorn1,4, B. Norris1,4, N. Cvetojevic1,2,4,5,6 and A. Argyros6 1 0 1SydneyInstituteforAstronomy,SchoolofPhysics,UniversityofSydney,NSW2006,Australia 2AustralianAstronomicalObservatory,POBox915,NorthRyde,NSW1670,Australia 2 3CAASTRO:ARCCentreofExcellenceforAll-skyAstrophysics n 4SydneyAstrophotonicInstrumentationLaboratory(SAIL),SchoolofPhysics,UniversityofSydney,Sydney,NSW2006,Australia a 5CUDOS:ARCCentreofExcellence,CentreforUltrahighbandwidthDevicesforOpticalSystems J 6InstituteofPhotonicsandOpticalScience(IPOS),SchoolofPhysics,UniversityofSydney,Sydney,NSW2006,Australia 3 1 Abstract ] Imagingbundlesprovideaconvenientwaytotranslateaspatiallycoherentimage,yetconventionalimaging M bundles made from silica fibre optics typically remain expensive with large losses due to poor filling fac- I tors (∼40%). We present the characterisation of a novel polymer imaging bundle made from poly(methyl . methacrylate)(PMMA)thatisconsiderablycheaperandabetteralternativetosilicaimagingbundlesover h p shortdistances(∼1m;fromthemiddletotheedgeofatelescope’sfocalplane).Thelargeincreaseinfilling - factor(92%forthepolymerimagingbundle)outweighsthelargeincreaseinopticalattenuationfromusing o PMMA (1dB/m) instead of silica (10−3dB/m). We present and discuss current and possible future multi- r t objectapplicationsofthepolymerimagingbundleinthecontextofastronomicalinstrumentationincluding: s fieldacquisition,guiding,wavefrontsensing,narrow-bandimaging,aperturemasking,andspeckleimaging. a [ TheuseofPMMAlimitsitsuseinlowlightapplications(e.g.imagingofgalaxies),howeveritispossibleto fabricate polymer imaging bundles from a range of polymers that are better suited to the desired science. 1 v Keywords: instrumentation: miscellaneous – telescopes – instrumentation: adaptive optics – instrumenta- 0 tion: high angular resolution 6 7 3 0 1 INTRODUCTION the fibre, leaving only the ends bundled together. The . delicate process of making a flexible silica fibre bundle 1 Over the course of the past few decades, the act of 0 increases the cost to ∼US$1000 per metre. High filling bundling optical fibres together to translate an image 7 factorsilicafibrebundlesdoexist(e.g.Bland-Hawthorn in a spatially coherent manner has been optimised to 1 et al. 2011; Bryant et al. 2014), though their large in- : increase the spatial resolution, yet retaining efficiency v dividual core diameters (∼100µm) results in a coarse andflexibility.Thesedevicesareknownasimagingfibre i spatialresolution,andwiththebundleonlybeingfixed X bundles(orcoherentfibrebundles),andarewidelyused at one end, they lack the ability to preserve a spatially r for remote sensing with applications such as biomedi- coherentimageandthereforearenotclassedasimaging a cal endoscopy. Most fibre bundles are made using sil- bundles. ica optical fibres, however the process used to make The use of polymer as an alternative to silica in fi- a ∼1mm diameter bundle that remains flexible sac- bre imaging bundles presents an attractive solution to rifices efficiency due to the fibre filling factor. This is many of the issues faced by using silica (e.g. the abil- because for most of the length, each fibre needs to be ity to obtain a high filling factor whilst retaining flexi- loose, otherwise a 1mm bundle would be a solid rod bility). One of the most common polymer fibre materi- withnearzeroflexibility.TheSCHOTTLeachedImage alsispoly(methylmethacrylate)(PMMA),howeverthe Bundles1 are a good example of this, where the inter- use of PMMA (and most polymers) over silica comes corecladdingmaterialisetcheddownoverthelengthof at the cost of attenuation (on the order of 1dB/m for PMMA versus 10−3dB/m for silica). This increase ∗E-mail:[email protected] in attenuation limits the applications of polymer fi- 1http://www.schott.com/lightingimaging/english/medical/ bre to cases where fibre lengths on order of a metre medical-products/transmitting-images_leached-image- are required (e.g. endoscopy, localised remote sensing). bundle.html 1 2 Richards et al. Albeit,longerlengthsofthesepolymerimagingbundles can be used in applications where the source is of high enough power to overcome the attenuation loss. An area where fibre optics continue to increase in their application is astronomy, where they have be- come the dominant method of translating the light of thousands of galaxies and stars from the telescope fo- cal plane to nearby spectrographs. Most focal planes of currentlarge(4-10m)telescopesare(cid:46)1mindiameter, but there are soon to be focal planes of 1-2m diameter uponthearrivalofExtremelyLargeTelescopes(ELTs). These large focal planes require precise field acquisi- tion and guiding, for which coherent imaging bundles are well suited. In this application, at one end, multi- ple imaging bundles are deployed over the focal plane targeting guide stars, and at the other end, all of the imaging bundles are brought together with one camera situated away from the focal plane imaging their end faces.ThismethodhasbeenadoptedbytheSloanDig- italSkySurveymulti-objectspectrograph(SDSS;Smee et al. 2013) and the Sydney-AAO Multi-object Integral field spectrograph (SAMI; Bryant et al. 2015). SDSS use silica imaging bundles from Sumitomo2, and SAMI use polymer imaging bundles from ESKA3. Basic characterisation of the Sumitomo silica image bundles has been performed by Haynes et al. (2006), whoanalysedthespatialfidelity,crosstalkandscatter- ing,andconcludedthatmoreinvestigationintoimaging bundlesisneededtoassesstheirsuitabilityinastronom- ical applications. The Sumitomo bundle has 2µm cores spacedby3µminasemi-regularhexagonalpattern,re- sultinginafillingfactorof∼40%(Udovichetal.2008). This immediate substantial loss from the filling factor isdetrimentalinastronomicalapplicationsofthesespa- tially coherent imaging bundles, where every photon counts. In addition to the filling factor, core sizes of 2µmareveryclosetobeingpurelysingle-modedatop- ticalwavelengthsresultinginanevengreaterlossdueto very poor modal coupling (Horton & Bland-Hawthorn 2007). In the case of the Sumitomo bundle, the outer diameter is only 800µm, meaning that even without separating the individual cores along the length of the fibre, the bundle retains some flexibility. More recently, SCHOTT have developed a Wound Fibre Bundle4 for the Defense sector, that creates a spatially coherent array of smaller 6×6 fibre arrays with each fibre being 10µm in diameter. Its efficiency Figure1.:(top)Back-illuminatedmicroscopeimageofa over the wavelength range 400−1500 nm is typically coherent polymer bundle showing the entire face of the 40-50%, including attenuation, fill-factor and Fresnel bundle.(middle)amagnifiedimageof(top)showingthe surfacereflectionlosses.Detailedcharacterisationonits hexagonal structure of the cores. There are 7095 cores optical performance has yet to be carried out. hexagonally packed, with each core being 16µm (full- diagonal) resulting in an overall diameter of 1.5mm. 2SumitomoElectricLightwaveCorp., Dust in the microscope imaging system gives the ap- http://www.sumitomoelectric.com pearance of damaged cores. (bottom) a projected Hα 3ESKATM;MitsubishiCorp.,http://fiberopticpof.com mapofaspiralgalaxybybutt-couplingtheinputendof 4SCHOTTWoundFibreBundle,http://www.schott.com/ lightingimaging/english/defenseproducts/wound.html thebundletoa1.5mmgrayscaleprintoutofthegalaxy. PASA(2017) doi:10.1017/pas.2017.xxx Performance of a novel polymer imaging bundle 3 Our interest then lies with the ESKA polymer imag- This is a factor of 2-3 improvement over the best silica ing bundles (PMMA), which have a larger filling frac- imaging bundles (25−40%). This gain in filling factor tionthansilicaimagingbundles,yetretainspatialreso- iscriticalforastronomy,wheremissingspatialinforma- lutionandflexibility.InSection2wepresenttheresults tion can be detrimental to the science. When the filling of laboratory characterisations of two different sizes factor of this polymer imaging bundle is compounded of polymer imaging bundles. In Section 3 we explore with the typical attenuation of PMMA (1dB/m), it is their various applications in the context of astronom- easytosee,fromFigure2,thatinshortlengths(<4m) ical instrumentation, presenting recent on-sky demon- thepolymerimagingbundlestheoreticallyout-performs strations, and concluding our work in Section 4. even the best silica imaging bundles (0.01dB/m and 40% filling factor). By evenly back-illuminating the bundle, using an 2 Optical Performance OLED flat-screen source through a Bessel-Johnson R- Tobetterunderstandtherangeofpossibleapplications band filter, the flat-field response profile of the 1.5mm polymer imaging bundles have in astronomical instru- polymer imaging bundle was found by taking the mean mentation,weperformedlaboratorycharacterisationon of image pixel intensities within radially increasing an- their filling factor, flat-field response, spectral through- nuli (see Figure 3). Each annulus has a width of 16µm put,cross-talkandfocalratiodegradation.Weexplored (onecore),withtheimageinitiallydarksubtractedand twosizesofESKApolymerimagingbundles,withexter- thensubtractedbythemaximuminter-coreintensityto naldiametersof0.5and1.5mm.Theyarebothmadeby reduce the contamination of cladding light. The radial the samemethod, with the 0.5mm bundle being drawn profile is observed to have a slight decrease of ∼1% downfurtherintheprocess,resultinginthesamenum- out to a radius of ∼600µm before decreasing rapidly ber of cores, but smaller core diameters. Both bundles to∼90%attheedgeofthebundle.Weconjecturethat have 7095 hexagonally-shaped cores, with each core di- thistypeofradiallydecreasingprofileislikelylinkedto ameter being 16µm (full-diagonal) in the 1.5mm bun- the intrinsic scattering and crosstalk properties of the dle and 6µm (full-diagonal) in the 0.5mm bundle. In bundlestudiedinSection2.3.Linearpropagationlosses some of the tests we present the results of both bun- resulting in scattered light out of the central cores will dlesizes,althoughweprimarilytestedthe1.5mmbun- result in an increased crosstalk between neighbouring dle.Aback-illuminatedmicroscopeimageofthe1.5mm cores, however the same scattering mechanism in the bundle can be found in Figure 1. In all tests, the end outer diameter cores will result in power loss out of the faces were machine polished5 stepping down through composite waveguide, i.e. bundle. Variations in inten- 30,12,9,3,1,0.3µm grit paper. sity within the annuli, in addition to the radial profile, are easily corrected for by flat-fielding in a data reduc- tion process. The 1.5mm polymer imaging bundle is 2.1 Filling factor and flat-field therefore deemed acceptable for astronomical applica- Thedominantsourceoflossesinfibrebundles,interms tionsthatrequireaccuratefluxinformationofasource. of total efficiency, is a poor filling factor, where the to- This is true even when the source is extended spatially. tal area at the bundle end-face that can be sampled by the cores is less than the overall area. As the cores are 2.2 Spectral transmission what guides the incident light and maintain the spa- tial coherence (with the rest of the bundle consisting of Althoughtheuseofpolymercanincreasethefillingfac- the cladding), any light not coupled is at best lost, or tor of imaging bundles dramatically (see Section 2.1), at worst couples into the cladding that contributes to it has much larger optical attenuation compared to sil- cross-talk. Due to the small core sizes found in imag- ica (1dB/m and 10−3dB/m respectively). To see how ing bundles, sufficient cladding to confine propagating the attenuation varies as a function of wavelength, the modesresultsinlargerseparationsbetweencores.Ifthe spectral throughput of both polymer imaging bundles space between cores becomes too small then the modes was measured via the cut-back method (see Figure can easily leak into adjacent cores, spreading out the 4). A reference spectrum was obtained by coupling a spatial information and increasing light losses. Creat- white-light source into a 200µm core-diameter silica ing a large refractive index difference between the core patchcordandmeasuredwithanopticalspectrumanal- and the cladding allows the core-to-core separation to yser (OSA). End-face polished (0.3µm grit) and con- besmaller,whichispossibletoachievewhenusingpoly- nectorised lengths of the imaging bundles were then mer rather than silica (see Section 2.3). By analysing a butt-coupled to the patch-cord and fed into the OSA. front-illuminated image of the 1.5mm polymer imag- The lengths of imaging bundles were 10,5,2,1m, re- ing bundle, the filling factor was measured to be 92%. polishing and re-connectorising after each cut. The me- dian spectral transmission per metre of each bundle 5KrelltechRev2MicroPolisher was determined using the measurements of the mul- PASA(2017) doi:10.1017/pas.2017.xxx 4 Richards et al. 1.0 1.02 ) 1.00 d 0.8 n a nd) -Rb 0.98 a ( -Rb 0.6 ncy 0.96 Efficiency( 0.4 malisedefficie 00..9924 0.2 or N 0.90 0.0 0.88 10-2 10-1 100 101 102 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Fibrelength(m) Distancefromcentre(mm) Figure 2.: Theoretical R-band efficiency as a function Figure 3.: A normalised radial profile of the 1.5mm of fibre length for a 1.5mm polymer imaging bundle polymer imaging bundle. Each measurement is the (blue line) and a best silica imaging bundle (dashed mean intensity of pixels within annuli of widths 16µm line),wheretheefficiencyincludesthefibreattenuation placed on an R-band back-illuminated flat-field image (1dB/mand0.01dB/mrespectively)andthefillfactor of the bundle. Error bars represent the standard devi- (92% and 40% respectively). ation of each measurement. 1.00 U B V R I 0.80 r e t e m r e 0.60 p n o si s mi 0.40 s n a 1.5mm r T 0.5mm 0.20 CYTOP Silica u g r i z 0.00 400 600 800 1000 1200 1400 Wavelength(nm) Figure 4.: Spectral throughput of the 0.5 and 1.5mm polymer imaging bundles (red and blue respectively). The green line is the transmission profile of a new polymer material, CYTOP, taken from Argyros (2013), and the magenta line is the manufacture’s transmission of AFS200220T silica fibre. Bessel-Johnson (UBVRI; dotted black line) and SDSS (ugriz; solid black line) spectral filters are overlaid for reference (arbitrarily scaled). There was no transmission of wavelengths less than ∼350nm and greater than ∼1100nm for either bundle. tiple lengths normalised by the reference spectrum. an additional loss of ∼40%. Both transmission curves The absorption bands seen in the spectral transmis- have been corrected for Fresnel end face losses. Figure sion curve (Figure 4) are due to the molecular vibra- 4 also shows the spectral transmissions for a new poly- tions of the PMMA, becoming essentially opaque to mer, CYTOP6 (Cyclic Transparent Optical Polymer), light of wavelengths shorter than ∼350nm and longer and a single silica fibre (AFS200220T7). than ∼1100nm. The aforementioned losses that arise from the single-mode nature of the cores in the 0.5mm 6CYTOP,AsahiGlassCo: http://www.agc.com/kagaku/shinsei/cytop/en/ bundle are clearly evident in the scaling difference be- 7AnhydroguideFiberSilica(AFS),FiberguideIndustries: tween the transmission of the two bundles, resulting in http://www.fiberguide.com/product/optical-fibers/ PASA(2017) doi:10.1017/pas.2017.xxx Performance of a novel polymer imaging bundle 5 0 1.0 ) 1 0.8 y t ensi sity t n in 2 0.6 te d n e i s d ali se orm 3 0.4 mali n r ( o 10 n g o 4 0.2 l 5 0.0 Figure5.:(left)Alogscaledinvertedimageafterbutt-couplingandaligningasilicasingle-modefibretothecentre of one core. (right) The intensity profile of the cut shown overlaid on (left) going from left to right. The red line is the log scaled intensity profile and the blue line is intensity on a linear scale. Both lines have been normalised to the maximum of the injected core. 3% of the injected light has been scattered to the surrounding cores. 2.3 Focal ratio degradation, cross-talk and ratiodegradation(FRD),wheretheconeangle(numer- scattering ical aperture; NA) of the input light becomes larger at the output of the fibre (or that the encircled energy of Due to the chemical composition and imperfections of a given profile is less at the output than at the input optical fibres, conservation of the input light is diffi- light). cult. This is even more so in standard polymers (e.g. Knowledge of a fibre’s FRD is important when de- PMMA); as demonstrated by the high attenuation lev- signing an optical system that makes use of optical fi- elswhencomparedtosilica,duetothehigherscattering bres. It dictates the power of the optical lenses used ofthepolymermedia.Unlikewhenmakingopticalfibres to image the near-field (face) of the fibre, whether as from silica, the ability to mix polymers together makes part of an imaging system or spectrograph. As the in- it possible to increase the numerical aperture of the fi- dividual core diameters of the polymer imaging bun- bre by creating a larger refractive index difference be- dles are small (6µm and 16µm), it was not possible to tweenthecoreandthecladding.Thisallowsforahigher measure the FRD via the standard method of inject- number of modes to propagate down the fibre and bet- ing a focussed spot of light (of varying NAs) down a ter constrains the mode field diameters. However, the single core and measuring the NA of the output light chemicalstructuresofPMMAandsilicaareverydiffer- (Bryant et al. 2014). Another technique to measured ent,leadingtoamuchlargerscatteringtermforPMMA FRD is to inject collimated light at varying angles, but thansilica.Thisincreaseinscatteringalsoincreasesthe this too requires injection into a single core. Therefore, chanceofcouplingbetweendifferentmodes.Lightscat- no FRD measurement was taken, but the large accep- tering can enhance the coupling from low order modes tance NA of the polymer imaging bundle would indi- to higher order modes closer to the core mode cut-off cate that its FRD would be not too dissimilar to that thatareweaklyguidingandlightlytocoupletocladding of a standard silica fibre. As an absolute reference, the modes.Whenfibresarebroughtclosetogether,asinthe maximum NA of both polymer imaging bundles was case of imaging bundles, the scattered light that leaves measured by overfilling the bundle’s input NA (in the the core has a chance of coupling into its neighbour- R-band), and radially measuring the far-field intensity ing cores. If the propagating modes are poorly confined using a power meter with a 500µm pinhole mask at a duetoasmalldifferenceinrefractiveindexbetweenthe radial distance of 20cm. This size of pinhole mask was core and the cladding, the propagating light has a high chosen to be large enough for the power meter to suf- chance of evanescently coupling to neighbouring cores. ficiently detect the incident light, yet small enough to Thesecouplingtermsareknownascross-talk,andmin- providediscretemeasurementsatthevariousanglesand imising this property is important for imaging bundles shieldthepowermeterfromscatteredlightinthelabo- as to not spread out the spatial information of the in- ratory. The maximum NA (at 5% maximum intensity) putlightsource.Thecouplingofmodestohigherorder of the 0.5mm and 1.5mm polymer imaging bundle is modes that were not coupled to at the input as well as 0.46±0.03and0.49±0.03respectively,withtheerrors the lading of modes to the cladding is known as focal PASA(2017) doi:10.1017/pas.2017.xxx 6 Richards et al. Figure 6.: Three 1.5mm polymer imaging bundles used as guiding probes for SAMI. (left) sky-flats of the three bundles imaged through a 1.5:1 re-imaging lens to a an Apogee Alta U6 CCD. Dust in the imaging system gives theappearanceofdamagedcores,howeverthelowerbundleisdamagedonitsrightside.(middle)threeguidestars being probed by the polymer imaging bundles. Typical V-band magnitudes and exposures times for SAMI guide stars are 13-15 and 1s respectively. (right) image of Saturn and its rings through one of the bundles (∼2 arcsec seeing). Each imaging bundle has a 23 arcsec field-of-view. The outline of each bundle is traced by a black circle. All three images are inverted. representing the range of NAs found at intensity values 3 Applications of polymer imaging bundles eithersideofthe5%maximumintensity.Therefore,due in astronomy to the small overall diameter of these imaging bundles, In this section we present current and possible (but designing an optical system to image the face of the by no means exhaustive) applications of polymer imag- bundle, or even 100 bundles packed together, with f/1 ing bundles in astronomical instrumentation that use optics (NA = 0.5) is straightforward. lengths<2m.Forthisweconsiderthetrade-offsofthe To measure the cross-talk in the 1.5mm polymer increase in filling factor at the cost of an increase in imagingbundle,asilicasingle-modefibre(NA=0.1,in- attenuation. Fundamentally, polymer imaging bundles jectedwithR-bandlight)wasbutt-coupledandaligned translate images, which in the context of astronomy is to the centre of a single core, and the intensity of all of best suited to getting an image from the focal plane of thesurroundingcoreswasimaged(seeFigure5).Itwas a telescope to a nearby location where bulkier systems foundthat2.9±0.2%oftheinjectedlightwasscattered reside (cameras etc). The need of imaging bundles in into the surrounding cores. This is the mean measure- astronomy increases as the diameter of the telescope’s ment and standard deviation of five different locations focal plane increases, more so in the era of the ELTs. overthefaceoftheimagingbundle(withtheexception of the outermost cores). Due to the high-NA, i.e. large mode confinement, of the polymer imaging bundles, it is unlikely that the 3.1 Field acquisition and guiding modes’ evanescent fields are significant to allow effi- cient coupling between cores, meaning that the pri- The most obvious application of imaging bundles is for mary driver for the cross-talk is more likely to be the telescope guiding as part of a multi-object instrument, large scattering term of the polymer’s chemical struc- orwheretheweightofaguidecameraonthefocalplane ture. This is due to the larger molecular chains and is an issue (e.g. small telescopes). It is possible to use clusters of the polymer in addition to the molecular pick-offmirrorsonarmstodomulti-objectguiding,but absorptions of their vibrational states. Unlike a stan- ifthereareopticalsciencefibrescoveringthefieldplate dard silica fibre when unspooled, the polymer imaging then it is difficult to avoid collisions. Imaging bundles bundle retains a relaxed bend radius of ∼15cm. It is permit a flexible solution to translating a spatially co- possible to straighten the fibre via thermal annealing, herent image of a guide star from the focal plane to although doing so risks damaging the fibre (e.g. chang- a nearby camera. An advantage of using polymer over ing the polymer’s chemical / physical structure). silica for multi-object imaging bundles (other than the increaseinfillingfactor)isthattheendpreparationofa polymer imaging bundle is much more customisable, as theproductresemblesasinglefibre.Silicaimagingbun- PASA(2017) doi:10.1017/pas.2017.xxx Performance of a novel polymer imaging bundle 7 dleshavetobecarefullyconnectorised(normallybythe thatevenwithoutfore-optics,multiple1.5mmpolymer manufacturer) to minimise stress or fractures, whereas imagingbundlesareabletoacquireandguideonafield. the polymer imaging bundles can either be mounted in If an increased field-of-view per imaging bundle is de- custom connectors, or just left bare whilst maintaining sired, then the use of fore-optics (miniature lenses or the ability to be polished. fibre tapers) is straightforward. SAMI is a multi-object integral field spectrograph that deploys 13 silica fibre-bundle integral field units 3.2 Multi-object Wavefront Sensing (hexabundles) over a 1 degree field at the 3.9m Anglo- Australian Telescope (Bryant et al. 2015). For field ac- The use of adaptive optics (AO; Babcock 1953; Hardy quisition and guiding it uses three of the 1.5mm poly- 1998) to correct for atmospheric turbulence is an es- merimagingbundles(1mlengthsandeachwith23arc- sential part of the science cases proposed for ELTs, but sec field-of-view) mounted in the same plug-plate con- is also a technology that is currently available on tele- nector design as the hexabundles. All of the imaging scopes all over the world. Performing AO on a single bundlesfeedasingleguidecameralocatednearbytothe on-axis target is now standard practice for ≥8m class sideofthefocalplane(seeFigure6).Althoughonlyone telescopes, though recent studies into multi-object AO oftheguidestarsisusedfortelescopeguidinginSAMI, (MOAO;Hammeretal.2002;Roussetetal.2010;Vidal having multiple guide stars over a 1 degree field allows etal.2014)showthepowerofmaximisingthescientific forbetterunderstandofthewide-fieldatmosphericcon- output of large aperture wide-field telescopes, such as ditions,andthetip/tiltdeterminationofthefieldplate. the 25.4m Giant Magellan Telescope (GMT; Bernstein The light-weight and flexible nature of the polymer et al. 2014). For MOAO to be realised on telescopes imaging bundles makes them suited to many types of such as the GMT, many wavefront sensors would need fibrepositioningtechnologies.Inadditiontouseinplug- to be deployed across the focal plane, localised to each plate instruments, the 1.5mm polymer imaging bundle science target. has also been proven to be compatible with the Star- The use of polymer imaging bundles becomes an at- Bugs positioning system (Gilbert et al. 2012; Kuehn tractivesolutiontodistributedwavefrontsensors,where et al. 2014), and multiple 0.5mm polymer imaging eachbundlehasminiatureShack-Hartmannfore-optics, bundles will perform the guiding for the multi-object relaying the wavefront information to a high frame fibre spectrograph instrument, TAIPAN on the UK rate camera situated off the focal plane. These minia- Schmidt Telescope (Kuehn et al. 2014, see Figure 7). tureShack-Hartmannwavefrontsensors(mini-SHWFS; Even though there is a loss in efficiency when using the Goodwin et al. 2014) were demonstrated on the 3.9m 0.5mm polymer imaging bundle instead of the 1.5mm AAT in December 2015 (see Figure 8; a full descrip- polymer imaging bundle, the smaller core sizes of the tion of these devices is provided by Goodwin et al. in 0.5mmpolymerimagingbundlearebettersuitedtothe preparation). plate scale of the UKST (0.44 to 1.08 arcsec per core The 1.5mm polymer imaging bundle, with its 16µm respectively, with the latter being too coarse to accu- cores and high filling factor, is able to critically sample rately sample the guide star’s point-spread-function). the Shack-Hartmann spots of the wavefront sensor. A The 0.5mm polymer imaging bundle is also being con- laboratory closed-loop adaptive optics experiment was sidered to replace the current guide bundles on the 2df carried out to quantify the suitability of the polymer instrument on the 3.9m Anglo-Australian Telescope, imagingbundleinwavefrontsensing(seeFigure8).The which uses a pick-and-place positioning system with fi- set-up for the experiment was as follows: (1) Collimate bre retractors (Lewis et al. 2002; Sharp et al. 2006). thebeamofa635nmlasertoabeamwidthof12.5mm. Investigation into the stresses induced on the 0.5mm (2) send the collimated laser beam through a rotatable polymerimagingbundleanditslongevitywhenusedin phase-screenwitheffectiveseeingof0.78arcsec.(3)im- sprung retractors is underway. age the pupil of the collimated beam onto an ALPAO As focal planes become increasingly larger, particu- 97-15 Deformable Mirror (DM). (4) re-image the pupil larlyintheeraofELTswherefocalplaneswillbe1-2m planethrougha100µm-pitchmicrolensarray,resulting diameter, the need of fibre bundles to perform guid- in the 1.5mm polymer imaging bundle (1m length) re- ing also increases. This is where the adaptability of the ceiving a 14×14 Shack-Hartmann spot pattern, which polymer imaging bundles to different positioning tech- contains the wavefront information at the pupil plane. nologies has an advantage, in addition to the large in- (5) re-image the end-face of the 1.5mm polymer imag- creaseinfillingfactor.Typicalplate-scalesfortheELTs ing bundle with 2× magnification onto an Andor Zy- are a few arcsec/mm, meaning that the field-of-view lar 5.5 MP sCMOS detector. (6) Control the rotation of a 1.5mm polymer imaging bundle would also be a speed of the phase-screen, the SCMOS detector, and few arcsec. Blind pointing of modern large telescopes is the DM via "S/W ALPAO Core Engine (ACE)" soft- commonly ∼1 arcsec (Bernstein et al. 2014), meaning ware using MATLAB/C++. The software was cus- tomised to fit this experiment, which was able to run PASA(2017) doi:10.1017/pas.2017.xxx 8 Richards et al. at ∼250 frames per second in closed-loop mode. The latency in the experiment was found to typically be 2- 3 frames. Optically, the set-up was designed to work in f/10, and to mimic the University of Hawaii’s 2.2m telescope. From Figure 8 (bottom) it is possible to see that the 1.5mm polymer imaging bundle can indeed criti- cally sample the Shack-Hartmann spot pattern as part of a closed-loop adaptive optics instrument, enabling the the Shack-Hartmann spot pattern to be relayed to a nearby, yet arbitrarily located, sensor. Only at wind- speeds greater than 10 ms−1 does the wavefront im- provement become negligible, with the RMS approach- ing that of an uncorrected wavefront (open-loop). Cus- tom designs of polymer imaging bundles can be man- ufactured depending on system requirements, however this is somewhat limited without the ability to self- manufactureasaccesstoproprietypolymersandequip- ment is restricted. In addition to being used for high-order wavefront sensing, the polymer imaging bundles are also suited Figure7.:Microscopeimageofa0.5mmdiameterpoly- to distributed low-order wavefront sensing for use in mer imaging bundle mounted in a TAIPAN StarBug ground-layerAO(GLAO;Hartetal.2010)orthemon- with a 3D-printed ferrule. itoring of natural guide stars in laser-tomography AO (LTAO; Viard et al. 2002), which would also benefit any attempt of laser-tomography MOAO with either Rayleigh or Sodium laser guide stars. An alternative method in wavefront sensing is the curvature sensor (Roddier 1988; Roddier & Roddier 1993),wheretheintensityimageoftheintra-andextra- focus are simultaneously obtained, allowing the second derivativeofthewavefronttobemeasured.TheVisible and Infrared Survey Telescope for Astronomy (VISTA) builtintoitsdesigntheabilitytoobtaintheintra-focus of one star and the extra-focus of another (but nearby) star with two respectively independent CCDs (Patter- son & Sutherland 2003). The assumption is that differ- ential aberrations between the two stars are negligible. However,mostAOsystemsthatarebasedoncurvature Figure8.:(top)RaytraceofminiatureShack-Hartmann wavefront sensors (Rigaut et al. 1998; Arsenault et al. sensor, where A is the starlight from the telescope (f/8 2003; Watanabe et al. 2008) use a resonant vibrating at AAT cassegrain focus), B is a 3mm diameter colli- mirror with sinusoidal piston variations to obtain the matinglens,Cisa110µmpitchmircolensarray,andD intra- and extra-focuses. This is a very delicate proce- is the polished front face of a 1.5mm polymer imaging dure, and limits the adaptability to MOAO. Based off bundle. (left) Image of a prototype miniature Shack- the design proposed by Guyon (2010), another method Hartman sensor illuminated with a 630nm laser at f/8 istousetwoimagingbundlesforeachcurvaturesensor, (top). Dust inside the wavefront sensor blocks ∼2 of with a beam splitter projecting the intra- and extra- the lenslets. (right) On-sky demonstration of the same focus images of a star onto each bundle. The imaging wavefront sensor as shown in (left) translating the spot bundles then feed into a sensitive high frame-rate cam- pattern from the focal plane to a high frame rate cam- era off the focal plane, and the intensity images are era (sCMOS). This stacked image is equivalent to a 1s analysed to obtain the wavefront information. A full exposure.Thede-centringofthepupilisduetoasmall description of these devices and recent on-sky tests are tip/tiltintheopticalalignmentofthewavefrontsensor given by Zheng et al. (2014, in preparation). to the focal plane. The wavefront sensor’s field-of-view (sub-aperture spacing) is ∼2 arcsec. Both images have beeninvertedincolour,withacircledrawntoshowthe boundary of the imaging bundle. PASA(2017) doi:10.1017/pas.2017.xxx Performance of a novel polymer imaging bundle 9 1.0 0 m/s 3 m/s 7 m/s no phase screen 1 m/s 5 m/s 10 m/s 0.8 ) s n 0.6 o r c i m ( S 0.4 M R 0.2 0.0 0 5 10 15 20 25 30 35 40 seconds Figure 9.: Laboratory closed-loop adaptive optics data using a 1.5mm polymer imaging bundle as part of a mini- Shack-Hartmann wavefront sensor (mini-SHWFS, see text for setup description). (top left) The 14×14 Shack- Hartmannspotpatternrelayedbythe1.5mmpolymerimagingbundle.Thecentre-of-massofeachspotisequated in relation to the centre of each zonal box, with the offsets represented by red arrows. A mask is applied to skip zones/spots that have too little flux. Dust inside the mini-Shack-Hartmann sensor results in some zones to the left of the bundle being skipped. (top right) The flux map showing the masked out zones as black zones. (bottom) Closed-loop results for six different simulated wind speeds of the 0.78 arcsec phase screen, in addition to no phase screen.TheRMSisameasurementoftheerrorcomparedtothatofaflatwavefront(bestimagequality).Thesmall RMSdifferencebetweenthe0ms−1 andnophasescreenisaverificationthatthemini-SHWFSissuccessful.There is little to no wavefront improvement for wind speeds above 10 ms−1, with the RMS increasing to the uncorrected wavefront due to system latency (2-3 frames). PASA(2017) doi:10.1017/pas.2017.xxx 10 Richards et al. 3.3 Other applications 4 Conclusions In addition to being used for field acquisition, guid- Imagingbundlesareausefulwayoftranslatingspatially ingandwavefrontsensing,polymerimagingbundlesare coherentimages,andovershortdistances,imagingbun- also suited to a variety of other astronomical applica- dlesmadefrompolymercanbemoreefficientandprac- tionsthatrequiretheefficientandflexibletranslationof tical than than those made from silica. We performed images over short distances. One such application is in laboratory characterisation of ESKA PMMA imaging multi-object narrowband imaging, where each imaging bundles, and explored their various applications in the bundle is positioned over a target and has a miniature context of astronomical instrumentation. These cheap tuneable narrowband filter that is tuned for its target polymer imaging bundles (∼$10 per metre) remain (e.g. a galaxy’s redshift). The ability to obtain high- flexibleasasingle1.5mmdiameterunitwith7095cores spatial resolution narrowband images (e.g. Hα) of 105 providing a spatial filling factor of 92%. Their R-band independent galaxies over a survey lifetime can provide transmissionwasmeasuredtobe∼85%permetre,and adatasetthatisunparalleledinunderstandingthestar theirflat-fieldresponseyieldsaradialdecreaseof∼3% formation morphology of a galaxy as a function of its towardstheoutercores.WithamaximalNAof0.5,the environment. An issue if using the polymer bundle pre- polymer imaging bundles are well suited to a range of sented here is the spectral absorption features of the telescope focal ratios. As most applications will image PMMA.Thereisalargeabsorptionfeatureat∼740nm theend-faceoftheimagingbundleswithacamera,any (seeFigure4),whichwouldbedetrimentaltoHαobser- FRD can be accounted for in the camera design. vationsofgalaxiesatredshifts,0.06(cid:46)z (cid:46)0.2.Depend- The polymer imaging bundles characterised here are ingonthescienceinquestion,differentpolymerscanbe already in use for field acquisition and guiding as part usedtominimisespectralfeatures,whilststillretaining oftheastronomicalinstrument,SAMI,andinthenear- other benefits such as high fill-factors. Argyros (2013) future, TAIPAN. This application is the most obvious provides a review of the common polymers used in the useofspatiallycoherentimagingbundles,thoughother manufacture of fibre optics, with CYTOP having the demonstrated applications include multi-object minia- best spectral transmission (high and flat; Figure 4) in ture wavefront sensing. Polymer imaging bundles are addition to operating at near-infrared wavelengths. highly customisable in design (including which poly- It is also possible to envisage an instrument that mers to use depending on desired wavelength ranges) hasdistributedminiatureaperturemasks(Tuthilletal. making them well suited to a range of astronomical ap- 2000)overthefocalplane,withtheintensityofeachin- plications, such as multi-object narrow-band imaging, terference pattern projected onto the polymer imaging multi-objectaperturemaskingandmulti-objectspeckle bundles, all feeding a sensitive high frame-rate camera imaging. There are of course many other applications off the focal plane. This application would work much not yet explored, and the use of polymer imaging bun- better if the polymer used in the bundles is one that is dlesinfutureastronomicalinstrumentshaspotentialto efficient at wavelengths in the near/mid-infrared, such become routine. that extrasolar planet detection by imaging is feasi- ble (Burrows 2005; Ireland 2012). Multi-object speckle imaging (Saha 2002) is also feasible with distributed polymer imaging bundles without fore-optics, again 5 Acknowledgments withallbundlesfeedingasensitivehighframe-ratecam- We would like to thank Chris Betters, Simon Gross, era off the focal plane. This would be useful in a fast Alexander Arriola, David Brown, and the staff at the survey to understand the fraction of multiple star sys- Anglo-Australian Telescope for their help in the char- tems (Duchêne & Kraus 2013). acterisation and commissioning of the different instru- Over time, an increasing number of telescope instru- ments that make use of the polymer imaging bundles. ments are achieving multi-object functionality as they Most of the characterisation work was performed at aim to maximise the available science over the focal theSydneyAstrophotonicInstrumentationLaboratory, plane, so it is only natural to keep thinking of feasible fundedbyanARCLaureateFellowshipawardedtoJoss ways to make use of the power and large focal plane Bland-Hawthorn. of the ELTs to come. There are likely many more ap- Thisresearchwasalsoconductedinpartnershipwith plications of polymer imaging bundles for astronomical the Australian Research Council Centre of Excellence applications, and we leave the reader to imagine. for All-sky Astrophysics (CAASTRO), funded under the Australian Research Council (ARC) Centre of Ex- cellence program (project number CE110001020), with additional funding from the seven participating univer- sities and from the NSW State Government’s Science Leveraging Fund. PASA(2017) doi:10.1017/pas.2017.xxx

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