OffAxisSelfInterferenceHolographicImagingofanIncoherent3DSceneTimothyMarshall1,Ziyi Zhu2,DarrickHay2,TimHolmstrom1,Myung Kim2,ZhiminShi2,1DepartmentofPhysics,LongwoodUniversity,FarmvilleVA239092DepartmentofPhysics,UniversityofSouthFlorida,TampaFL33620REURET2015PosterSymposium,July29,2015This project is supported by the NSF REU grant #DMR-1263066: REU Site in Applied Physics at USFConclusions[1] J.RosenandG.Brooker,Opt.Lett.32,912(2007).[2]J.Hong&M.K.Kim,Opt.Lett. 38,51965199(2013).Threedimensional (3D) imaging has diverse applicationsin biological imaging, surveillance, remote sensing, precisionmetrology,etc.In biologicalstudies,for example,confocalmicroscopy is a widely used method for acquiring the 3Dinformation of a biological sample. However, confocalmicroscopy requires a timeconsuming scanning processthrough the spatial points, and therefore cannot be used tocapture some of the fast dynamics of the samples.In this work, we study an alternative approach toimplement a 3D imaging modality using digital holography. Toperform holographic imaging, one needs a signal field and areference field to interfere and generate enough information inthe intensity of the interferogram. For an incoherent scene,light from different points do not have any specific phaserelations,meaning one needs to generate the signalandreference fields for each individual point sources. We hereadopt a selfinterference digital holography concept introducedby Rosen et al. [1] and Hong et al. [2].In addition, we wish to add two more features in ourimplementation to realizing robust imaging in realtime.1. A singleshot measurement, enabling realtime operationcapability.2. A commonpath configuration, meaning the setup is stableand vibrationinsensitive.IntroductionNumericalSimulationFig.1Schematicdiagramofapolarizationinterferometrybasedselfinterferenceholographicimagingsystemfora3Dincoherentscene.We here propose an offaxis selfinterference holographicimaging modality. The offaxis holography can retrieve theunambiguous phase information through filtering in the spatialfrequency domain.The schematics of one implementationutilizing polarization interferometry is shown in Fig. 1. The keycomponent to realize common path geometry is a chiral mirrorthat responds differently to two orthogonal polarizationcomponents, which serve as the necessary signal and referencebeams that travels along the same path.It can be shown that through a filtering in the spatialfrequency domain, one can obtain a complexvalue hologramgiven by the convolution of the transverse incoherent fielddistribution at a target plane and a Greens functionwhere is a parabolic phase determined by the distancefrom the source plane to the detection plane [2].TheoreticalFrameworkWe have developed a Matlab code to numerically validateour scheme. The code is based on angular spectrumrepresentation of arbitrary transverse field.ExperimentalResultsWe have demonstrated both numerically andexperimentally a selfreferencing offaxis holographic 3Dimaging system based on polarization interferometry. Suchcapability is promising for monitoring a 3D scene, such asFluorescence biological samples , in real time.ReferencesRecordedimage SpatialFilteringReconstructedsceneofasinglepointsourceat1.0mReal ImaginaryReconstructedsceneatdifferentdistancesZ=0.75m Z=1.0m Z=1.25m Z=1.5mZ=0.75m Z=1.0m Z=1.25m Z=1.5mZ=0.7m Z=0.85m Z=1.0m Z=1.15mReconstructedsceneof twopointsourcesat0.7mand1.0m,respectively