Scattering of light from quasi-homogeneous sources by quasi-homogeneous media.

Uniqueness of the solution to the inverse source problem for quasi-homogeneous sources

The quasi-homogeneous approximation, often used but never rigorously justi®ed, is carefully derived for primary, three-dimensional, scalar radiation sources. The derivation indicates that nonradiating quasi-homogeneous sources do not exist. The relevance of this result and its derivation for the inverse source problem is discussed. Ó 2001 Elsevier Science B.V. All rights reserved.

Non-homogeneous continuous and discrete gradient systems‎: ‎the quasi-convex case

‎In this paper‎, ‎first we study the weak and strong convergence of solutions to the‎ ‎following first order nonhomogeneous gradient system‎ ‎$$begin{cases}-x'(t)=nablaphi(x(t))+f(t), text{a.e. on} (0,infty)\‎‎x(0)=x_0in Hend{cases}$$ to a critical point of $phi$‎, ‎where‎ ‎$phi$ is a $C^1$ quasi-convex function on a real Hilbert space‎ ‎$H$ with ${rm Argmin}phineqvarnothing$ and $fin L^1(0...

Coherence and polarization properties of far fields generated by quasi-homogeneous planar electromagnetic sources.

In studies of radiation from partially coherent sources the so-called quasi-homogeneous (QH) model sources have been very useful, for instance in elucidating the behavior of fields produced by thermal sources. The analysis of the fields generated by such sources has, however, been largely carried out in the framework of scalar wave theory. In this paper we generalize the concept of the QH sourc...

Convolution and Homogeneous Spaces

Correlation of intensity fluctuations in beams generated by quasi-homogeneous sources.

We derive expressions for the far-zone correlation of intensity fluctuations (the Hanbury Brown-Twiss effect) that occurs in electromagnetic beams that are generated by quasi-homogeneous sources. Such sources often have a radiant intensity pattern that is rotationally symmetric, irrespective of the source shape. We demonstrate how from the far-zone correlation of intensity fluctuations the spec...