title: Separation of electrostatic and magnetic phase shifts using a modified transport-of-intensity equation.
abstract: We introduce a new approach for the separation of the electrostatic and magnetic components of the electron wave phase shift, based on the transport-of-intensity equation (TIE) formalism. We derive two separate TIE-like equations, one for each of the phase shift components. We use experimental results on FeCoB and Permalloy patterned islands to illustrate how the magnetic and electrostatic longitudinal derivatives can be computed. The main advantage of this new approach is the fact that the differences in the power spectra of the two phase components (electrostatic phase shifts often have significant power in the higher frequencies) can be accommodated by the selection of two different Tikhonov regularization parameters for the two phase reconstructions. The extra computational demands of the method are more than compensated by the improved phase reconstruction results.
authors: Carnegie Mellon University, Pittsburgh, PA 15213, USA.
authors: E
authors: E
authors: Humphrey
authors: Argonne National Laboratory, Argonne, IL 60439, USA.
authors: C
authors: C
authors: Phatak
authors: Argonne National Laboratory, Argonne, IL 60439, USA.
authors: A K
authors: AK
authors: Petford-Long
authors: Carnegie Mellon University, Pittsburgh, PA 15213, USA.
authors: M
authors: M
authors: De Graef
mesh_terms: D007091:Image Processing, Computer-Assisted / Q000379:methods; D060328:Magnetic Phenomena; D008853:Microscopy / Q000295:instrumentation* / Q000379:methods*; D055672:Static Electricity
keywords: Lorentz transmission electron microscopy; Phase reconstruction; Transport of intensity equation