title: Limits of 3D dipole localization and orientation estimation for single-molecule imaging: towards Green's tensor engineering.
abstract: The 3D orientation and location of individual molecules is an important marker for the local environment and the state of a molecule. Therefore dipole localization and orientation estimation is important for biological sensing and imaging. Precise dipole localization is also critical for superresolution imaging. We propose and analyze wide field microscope configurations to simultaneously measure these parameters for multiple fixed dipole emitters. Examination of the images of radiating dipoles reveals how information transfer and precise detection can be improved. We use an information theoretic analysis to quantify the performance limits of position and orientation estimation through comparison of the Cramer-Rao lower bounds in a photon limited environment. We show that bi-focal and double-helix polarization-sensitive systems are attractive candidates for simultaneously estimating the 3D dipole location and orientation.
authors.affiliation: Department of Electrical, Computer and Energy Engineering, University of Colorado at Boulder, Boulder, Colorado, USA.
authors.forename: Anurag
authors.initials: A
authors.lastname: Agrawal
authors.forename: Sean
authors.initials: S
authors.lastname: Quirin
authors.forename: Ginni
authors.initials: G
authors.lastname: Grover
authors.forename: Rafael
authors.initials: R
authors.lastname: Piestun
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D006801:Humans; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008853:Microscopy / Q000379:methods*; D017785:Photons