Twisted anisotropic electromagnetic beams with Laguerre Gaussian-Schell model correlation

Area of Science:

• Electromagnetism
• Optics
• Wave physics

Background:

• Scalar beam theory is a foundation in optics.
• Extending scalar beam properties to the electromagnetic domain is crucial for advanced optical applications.
• Laguerre-Gaussian-Schell model correlations offer a framework for describing partially coherent beams.

Purpose of the Study:

• To introduce and analyze a class of twisted anisotropic electromagnetic beams.
• To derive the propagation characteristics of these beams using the cross-spectral density matrix.
• To investigate methods for engineering beam coherence and polarization properties.

Main Methods:

• Analytical derivation of the cross-spectral density matrix for propagating beams.
• Formulation of twisted anisotropic electromagnetic beams based on Laguerre Gaussian-Schell model correlations.
• Detailed analysis of the degree of coherence, degree of polarization, and state of polarization.

Main Results:

• An analytical formula for the cross-spectral density matrix of twisted anisotropic electromagnetic beams was derived.
• The study demonstrated the influence of source anisotropy, topological charge, and twist factor on beam characteristics.
• Specific coherence and polarization patterns were shown to be engineerable.

Conclusions:

• Twisted anisotropic electromagnetic beams offer a versatile platform for controlling optical field properties.
• The presented method allows for the synthesis of beams with tailored coherence and polarization.
• This research provides a pathway for developing novel optical fields with unique patterns.