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  • 1
    Book
    Book
    Pages: VII, 130 S. , Ill., graph. Darst.
    Note: Zsfassung in engl. und dt. Sprache , Heidelberg, Univ., Diss., 2011
    Parallel Title: Online-Ausg. Wagner, Jennifer, 1984 - Quality control for peptide chip array production
    Former Title: Qualitätskontrolle für die Peptidchiparrayproduktion
    Language: English
    Keywords: Hochschulschrift
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  • 2
    Online Resource
    Online Resource
    Saarbrücken : LAP LAMBERT Academic Publishing
    Pages: Online-Ressource
    Edition: 1. Aufl.
    ISBN: 9783848405398 , 3848405393
    Note: Lizenzpflichtig. - Vom Verlag als Druckwerk on demand und/oder als E-Book angeboten
    Language: English
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  • 3
    Online Resource
    Online Resource
    Common title
    Pages: 10
    ISSN: 1432-0746
    Description / Table of Contents: Based on the standard gravitational lensing formalism with its effective, projected lensing potential in a given background cosmology, we investigated under which transformations of the source position and of the deflection angle the observable properties of the multiple images remain invariant. These observable properties are time delay differences, the relative image positions, relative shapes, and magnification ratios. As they only constrain local lens properties, we derive general, local invariance transformations in the areas covered by the multiple images. We show that the known global invariance transformations, for example, the mass-sheet transformation or the source position transformation, are contained in our invariance transformations, when they are restricted to the areas covered by the multiple images and when lens-model-based degeneracies are ignored, like the freedom to add or subtract masses in unconstrained regions without multiple images. Hence, we have identified the general class of invariance transformations that can occur, in particular in our model-independent local characterisation of strong gravitational lenses.
    Note: Gesehen am 11.12.2019
    In: Astronomy and astrophysics, Les Ulis : EDP Sciences, 1969, 620(2018) Artikel-Nummer A86, 10 Seiten, 1432-0746
    Language: English
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  • 4
    Online Resource
    Online Resource
    Pages: Online-Ressource
    Note: Heidelberg, Univ., Diss., 2011
    Parallel Title: Druckausg. Wagner, Jennifer, 1984 - Quality control for peptide chip array production
    Former Title: Qualitätskontrolle für die Peptidchiparrayproduktion
    Language: English
    Keywords: Hochschulschrift
    URL: Volltext  (Kostenfrei)
    URL: Volltext  (kostenfrei)
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  • 5
    Online Resource
    Online Resource
    Common title
    Pages: 12
    ISSN: 1365-2966
    Description / Table of Contents: ABSTRACT. We give a physical interpretation of the formalism intrinsic degeneracies of the gravitational lensing formalism that we derived on a mathematical ba
    Note: Gesehen am 22.07.2019
    In: Royal Astronomical Society, Monthly notices of the Royal Astronomical Society, Oxford : Oxford Univ. Press, 1827, 487(2019), 4, Seite 4492-4503, 1365-2966
    Language: English
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  • 6
    Book
    Book
    Erlangen ; Nürnberg
    Pages: 89 Seiten , Diagramme
    Note: Dissertation Friedrich-Alexander-Universität Erlangen-Nürnberg 2017
    Language: German
    Keywords: Hochschulschrift
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  • 7
    Book
    Book
    Pages: VII, 130 S. , Ill., graph. Darst.
    Note: Heidelberg, Univ., Diss., 2011
    Language: English
    Keywords: Qualitätskontrolle ; Peptidsynthese ; Bildverarbeitung ; Oberflächenanalyse ; Hochschulschrift
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  • 8
    Online Resource
    Online Resource
    Common title
    Pages: 11
    ISSN: 1432-0746
    Description / Table of Contents: In galaxy-galaxy strong gravitational lensing, Einstein rings are generated when the lensing galaxy has an axisymmetric lensing potential and the source galaxy is aligned with its symmetry centre along the line of sight. Using a Taylor expansion around the Einstein radius and eliminating the unknown source, I derive a set of analytic equations that determine differences of the deflection angle of the perturber weighted by the convergence of the axisymmetric lens and ratios of the convergences at the positions of the arcs from the measurable thickness of the arcs. In the same manner, asymmetries in the brightness distributions along an arc determine differences in the deflection angle of the perturber if the source has a symmetric brightness profile and is oriented parallel to or orthogonal to the caustic. These equations are the only model-independent information retrievable from observations to leading order in the Taylor expansion. General constraints on the derivatives of the perturbing lens are derived such that the perturbation does not change the number of critical curves. To infer physical properties such as the mass of the perturber or its position, models need to be inserted. The same conclusions about the scale of detectable masses (of the order of 10〈sup〉8〈sup/〉〈i〉M〈i/〉〈sub〉⊙〈sub/〉) and model-dependent degeneracies as in other approaches are then found and supported by analysing B1938+666 as an example. Yet, the model-independent equations show that there is a fundamental degeneracy between the main lens and the perturber that can only be broken if their relative position is known. This explains the degeneracies between lens models already found in simulations from a more general viewpoint. Hence, apart from the radii and brightness distributions of the arcs, independent information on the axisymmetric lens or the perturber has to be employed to disentangle the axisymmetric lens and the perturber. Depending on the properties of the pertuber, this degeneracy can be broken by characterising the surrounding of the lens or by measuring the time delay between quasar images embedded in the perturbed Einstein ring of the host galaxy.
    Note: Gesehen am 15.04.2019
    In: Astronomy and astrophysics, Les Ulis : EDP Sciences, 1969, 615(2018) Artikel-Nummer A102, 11 Seiten, 1432-0746
    Language: English
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  • 9
    Online Resource
    Online Resource
    Common title
    Pages: 13
    ISSN: 1432-0746
    Description / Table of Contents: We extend our model-independent approach for characterising strong gravitational lenses to its most general form to leading order and use the orientation angles of a set of multiple images with respect to their connection line(s) in addition to the relative distances between the images, their ellipticities, and time-delays. For two symmetric images that straddle the critical curve, the orientation angle additionally allows us to determine the slope of the critical curve and a second (reduced) flexion coefficient at the critical point on the connection line between the images. It also allows us to drop the symmetry assumption that the axis of largest image extension is orthogonal to the critical curve. For three images almost forming a giant arc, the degree of assumed image symmetry is also reduced to the most general case, describing image configurations for which the source need not be placed on the symmetry axis of the two folds that unite at the cusp. For a given set of multiple images, we set limits on the applicability of our approach, show which information can be obtained in cases of merging images, and analyse the accuracy achievable due to the Taylor expansion of the lensing potential for the fold case on a galaxy cluster scale Navarro-Frenk-White-profile, a fold and cusp case on a galaxy cluster scale singular isothermal ellipse, and compare the generalised approach with our previously published one. The position of the critical points is reconstructed with less than 5′′ deviation for multiple images closer to the critical points than 30% of the (effective) Einstein radius. The slope of the critical curve at a fold and its shape in the vicinity of a cusp deviate less than 20% from the true values for distances of the images to the critical points less than 15% of the (effective) Einstein radius.
    Note: Gesehen am 23.10.2017
    In: Astronomy and astrophysics, Les Ulis : EDP Sciences, 1969, 601(2017) Artikel-Nummer A131, 13 Seiten, 1432-0746
    Language: English
    URL: Volltext  (Kostenfrei)
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  • 10
    Online Resource
    Online Resource
    Common title
    Pages: 13
    Description / Table of Contents: We extend the model-independent approach to characterise strong gravitational lenses of Wagner & Bartelmann (2016) to its most general form to leading order by using the orientation angles of a set of multiple images with respect to their connection line(s) in addition to the relative distances between the images, their ellipticities and time-delays. For two symmetric images that straddle the critical curve, the orientation angle additionally allows to determine the slope of the critical curve and a second (reduced) flexion coefficient at the critical point on the connection line between the images. It also allows to drop the symmetry assumption that the axis of largest image extension is orthogonal to the critical curve. For three images almost forming a giant arc, the degree of assumed image symmetry is also reduced to the most general case, allowing to describe image configurations for which the source need not be placed on the symmetry axis of the two folds that unite at the cusp. For a given set of multiple images, we set limits on the applicability of our approach, show which information can be obtained in cases of merging images, and analyse the accuracy achievable due to the Taylor expansion of the lensing potential for the fold case on a galaxy cluster scale NFW-profile, a fold and cusp case on a galaxy cluster scale SIE-profile, and compare the generalised approach with the one of Wagner & Bartelmann (2016). The position of the critical points is reconstructed with less than 5" deviation for multiple images closer to the critical points than 30\% of the (effective) Einstein radius and the slope of the critical curve at a fold and its shape in the vicinity of a cusp deviate less than 20\% from the true values for distances of the images to the critical points less than 15\% of the (effective) Einstein radius.
    Note: Gesehen am 23.10.2017
    In: De.arxiv.org, [S.l.] : Arxiv.org, 1991, (2017) Artikel-Nummer 1612.01793, 13 Seiten
    Language: English
    URL: Volltext  (Kostenfrei)
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