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@PHDTHESIS{Ram:463845,
      author       = {Ram, Farangis},
      othercontributors = {Zaefferer, Stefan and Mayer, Joachim and Winkelmann, Aimo},
      title        = {{T}he {K}ikuchi bandlet method for the intensity analysis
                      of the electron backscatter {K}ikuchi diffraction patterns},
      school       = {Aachen, Techn. Hochsch.},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {Publikationsserver der RWTH Aachen University},
      reportid     = {RWTH-2015-01069},
      pages        = {XIV, 167 S. : Ill., graph. Darst.},
      year         = {2015},
      note         = {Aachen, Techn. Hochsch., Diss., 2015},
      abstract     = {The present dissertation attempts to extend the application
                      fields of the Electron Backscatter Kikuchi Diffraction
                      technique (EBSD) by enabling the analysis of the intensity
                      of the Electron Backscatter Kikuchi Diffraction patterns
                      (EBSPs). It also presents an error analysis for the
                      conventional method that retrieves the crystallographic
                      orientation from an EBSP. The error analysis is performed on
                      simulated patterns. An analytical, inferential
                      statistics-based method for estimating the accuracy of a
                      retrieved orientation and a retrieved misorientation of a
                      real pattern is validated. The second part of this work
                      introduces a method, which deconvolutes and reconstructs the
                      individual Kikuchi bands, and thus, enables an accurate and
                      automatic analysis of their intensity profiles. The method
                      is termed the Kikuchi bandlet method. Two of this method's
                      exemplary applications are also presented: (1) the
                      quantification of the stored crystalline defects and (2) the
                      improvement of the accuracy of the retrieved crystal
                      orientation and the retrieved projection parameters of an
                      EBSP. The method proposed for quantifying the stored defects
                      through quantifying the individual Kikuchi band's sharpness
                      is applied to a controlled experimental case of bending a
                      micro-cantilever. It is shown that, using this method, for
                      each reflector, the deviation of the atomic positions from
                      equilibrium can be retrieved through the band sharpness,
                      which, in effect, measures the incoherency of the diffracted
                      beams. Linking the band sharpness to the underlying crystal
                      structure is performed through the simulation of Kikuchi
                      patterns resulting from a crystal structure containing a
                      known defect, and subsequently, analysing the pattern with
                      the Kikuchi bandlet method. The results shows that the
                      dislocation is clearly visible on the planes that fulfil the
                      $\vec g_{hkl} \cdot \vec b = 0$ criterion of diffraction,
                      with $\vec b$ being the dislocation's Burgers vector and
                      $\vec g_{hkl}$ being the reciprocal space vector of the
                      reflector. They also show that the retrieved band sharpness
                      correlates with the $\vec g_{hkl} \cdot \vec b$ value.The
                      intensity profile analysis of a reconstructed K-band reveals
                      its characteristic hyperbolic features. Using these curves
                      increases the accuracy of the estimated orientation and
                      projection center. This is presented as the second
                      application of the Kikuchi bandlet method. In the case
                      studied here, for simulated pattern, an order of magnitude
                      improvement in orientation accuracy and $5$ times
                      improvement in projection center accuracy is achieved.},
      cin          = {523110 / 520000},
      ddc          = {620},
      cid          = {$I:(DE-82)523110_20140620$ / $I:(DE-82)520000_20140620$},
      typ          = {PUB:(DE-HGF)11},
      urn          = {urn:nbn:de:hbz:82-rwth-2015-010692},
      url          = {https://publications.rwth-aachen.de/record/463845},
}