Estimation of Parameters of an Inhomogeneous Dielectric Layer

•   This paper presents a general framework for sensitivity analysis for fewparameter inverse problems using the Fisher information and the Cram´er-Rao bound. In particular, the one-dimensional inverse problem of estimating the dispersive parameters of an inhomogeneous dielectric layer with linear spatial variation is studied. The analysis technique is particularly well-suited for inverse problems using few parameters, and it is anticipated that the framework may be used as a basis for extensive numerical investigations and physical interpretations. The ill-posedness of the inverse problem can be explicitely quantified by using the Fisher information analysis. As an example, the sensitivity analysis is used together with asymptotic theory to show that the inverse problem becomes extremely ill-posed when the linear spatial variation vanishes.  

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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)

NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Inverse problems

Fisher information

Electrical engineering

Elektroteknik

Mathematical physics

Matematisk fysik

Applied mathematics

Tillämpad matematik

Electrotechnology

Elektroteknik alt Electrical engineering

Matematik

Mathematics

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