Determination of the electric cross-spectral density matrix of a random electromagnetic beam
โ Scribed by Hema Roychowdhury; Emil Wolf
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 80 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0030-4018
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โฆ Synopsis
It has been shown in a recent publication that in order to calculate the changes which the degree of polarization, the degree of coherence and the spectrum of a random electromagnetic beam undergo as the beam propagates, it is necessary to know the 2 ร 2 cross-spectral density matrix of the fluctuating electric field. In this paper, a procedure is described for measuring the four elements of this matrix, with the help of two polarizers and a rotator. The procedure makes use of the Young interference experiment and the recently derived spectral interference law for such beams.
๐ SIMILAR VOLUMES
An expression is derived for the cross-spectral density matrix, valid in the paraxial region of the far field, generated by a planar blackbody source. With the help of it we determine the spectral degrees of polarization and of cross-polarization of the far field.
Given an absolutely continuous density of a random matrix X, we study the density of the inverse when X is a p x p symmetric, triangular and arbitrary matrix, and the pseudo-inverse when X is rectangular. In the latter case we provide alternative proofs to that of Zhang (1985), who first obtained th