Direct and inverse scattering problems in dispersive media-Green's functions and invariant imbedding techniques

• Transient electromagnetic wave propagation in a dispersive medium is reviewed. The medium is assumed to be 1) linear, 2) invariant to time translations, 3) causal, 4) continuous, and 5) isotropic. The constitutive relations are then uniquelyrepresen ted bya Riemann-Stieltjes integral in the time variable. The kernel in this convolution is the susceptibilityk ernel. Two explicit examples of mathematical models of the susceptibilityk ernel are given. The medium treated in this paper is assumed to varyonlywith depth. In the direct problem the reflection and transmission data are computed. The inverse scattering problem is to find the susceptibilityk ernel from known reflexion data. It is, thus, a problem of finding a function depending on the time variable. In the spatiallyhomogeneous case the inverse scattering problem is solved from reflexion data bysolving a Volterra integral equation of the second kind. This inverse problem is therefore well-posed and easyto solve.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Annan elektroteknik och elektronik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Other Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)

Publikations- och innehållstyp

rap (ämneskategori)

vet (ämneskategori)