Beam conditions for radiation generated by an electromagnetic Gaussian Schell-model source

Abstract

It was shown recently that the basic properties of a fluctuating electromagnetic beam can be derived from knowledge of a 2 x 2 cross-spectral density matrix of the electric field in the source plane. However, not every such matrix represents a source that will generate a beamlike field. We derive conditions that the matrix must satisfy for the source to generate an electromagnetic Gaussian Schell-model beam.

Polarization Properties of Quasi-Homogeneous Beams Propagating in Oceanic Turbulence

“…Several conditions of the source must be satisfied in order to produce a physically reliable QH beam [19].…”

Beam conditions for radiation generated by an electromagnetic J_0-correlated Schell-model source

“…As known, the far field of the angular spectrum representative of the wavefield can be expressed as ( [1] [1]. For such sources the elements of the cross-spectral density matrix have the form [3,10] W ij…”

“…Highly directional optical beams are required in many applications, such as guiding, aiming, remote sensing, imaging, and free-space optical communications [1][2][3]. However, not all sources can generate a beamlike field, which propagates close to z direction (beam axis).…”

“…This condition is also extended to one type of partially coherent cases, i.e., Gaussian Schell model sources [1]. Recently, Korotkova et al obtained more generalized conditions for a source to generate an electromagnetic Gaussian Schell-model beam, with a view to including the effects of polarization [3].…”

“…The second-order correlation properties of the beam in the space-frequency domain may be characterized by the 2 ϫ 2 (electric field) cross-spectral density matrix [3,[8][9][10]:…”