Random sources for cusped beams

Area of Science:

• Optics and Photonics
• Light Scattering
• Coherent Beam Propagation

Background:

• Partially coherent light sources are crucial in various optical applications.
• Existing models like Gaussian Schell-model (GSM) have limitations in spectral density and focusing.
• Novel beam formulations are needed to overcome these limitations.

Purpose of the Study:

• Introduce two new classes of partially coherent beams: rectangular Lorentz-correlated Schell-model (LSM) and rectangular fractional multi-Gaussian-correlated Schell-model (FMGSM).
• Analyze their spectral density distributions and focusing properties.
• Provide experimental validation of the theoretical models.

Main Methods:

• Derivation of analytical expressions for spectral density using the generalized Collins formula.
• Propagation analysis through stigmatic ABCD optical systems.
• Experimental generation using a spatial light modulator (SLM) as a random phase screen.

Main Results:

• LSM and FMGSM beams exhibit significantly higher and sharper spectral density apexes than GSM beams.
• Experimental results align with theoretical predictions.
• FMGSM beams demonstrate superior focusing capabilities compared to GSM beams with similar coherence.

Conclusions:

• The novel LSM and FMGSM beams offer enhanced spectral density and focusing properties.
• These beams represent a significant advancement over traditional GSM beams.
• Potential applications include material surface processing, optical communications, and sensing through random media.