Sökning: "inverse scattering transform"

Visar resultat 1 - 5 av 10 avhandlingar innehållade orden inverse scattering transform.

  1. 1. The Back-scattering Problem in Three Dimensions

    Författare :Robert Lagergren; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; back-scattering; Schrödinger operator; inverse scattering; Mathematics; Matematik;

    Sammanfattning : In this thesis we study the (inverse) back-scattering problem for the Schr"odinger operator in $R^3$. We introduce the back-scattering transform $B(v)$ of a real-valued potential $vin C_0^infty(R^3)$, and prove that the back-scattering data associated to $v$ determine $B(v)$. LÄS MER

  3. 2. Inverse Problems in Tomography and Fast Methods for Singular Convolutions

    Författare :Fredrik Andersson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Unequally spaced FFT; Integral transforms; Singular integrals; Lippmann?Schwinger equation; Helmholtz equation; Inverse problems; Fast Gauss transform; Fast summation; Convolution; Radon transform; Tomography;

    Sammanfattning : There are two, partially interlaced, themes treated in this thesis; inverse problems of tomographic type and fast and accurate methods for the application of convolution operators. Regarding the first theme, the inverse problem of Doppler tomography is considered and the Doppler moment transform is introduced for that purpose. LÄS MER

  4. 3. Numerical and experimental aspect of coherent lensless imaging

    Författare :Erik Malm; NanoLund: Centre for Nanoscience; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Coherent diffractive imaging; Holography; Phase retrieval; Diffraction; Inverse scattering; XUV light; non-rigid image registration; Fysicumarkivet A:2021:Malm;

    Sammanfattning : This thesis is devoted to the understanding, application, and extension of coherent lensless imaging methods for microscopy purposes. Particular attention is given to the Fourier transform holography and coherent diffractive imaging methods. LÄS MER

  5. 4. Applications of 3D time domain wave splittings to direct and inverse scattering

    Författare :Jiasu Cao; KTH; []
    Nyckelord :;

    Sammanfattning : The three-dimensional direct and inverse scattering problems in the time-domain are considered in the present thesis. The direct problem is to find an explicit or numerical solution of the transient reflection for given physical parameters. LÄS MER

  7. 5. Design and development of a microwave multifrequency polarimetric scatterometer for biosphere remote sensing

    Författare :Anders Stjernman; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Polarimetry; scatterometer; microwave remote sensing; calibration; network analyzer based; S-parameters; scattering matrix;

    Sammanfattning : Microwave radar and radiometer techniques are used to gather crucial information about the earth and its atmosphere. The ERS-1, JERS-1, RadarSAT and NASA’s Mission to Planet Earth projects are designed to study the changing global environment. In all these endeavors, the key instrument is the radar or scatterometer. LÄS MER