Cosine-Gaussian correlated Schell-model pulsed beams.

Area of Science:

• Optics and Photonics
• Wave Propagation
• Coherent Optics

Background:

• Partially coherent light sources are crucial in various optical applications.
• Schell-model beams offer a tractable mathematical framework for partially coherent light.
• Understanding pulse evolution in dispersive media is essential for optical communications and sensing.

Purpose of the Study:

• To introduce a new class of partially coherent pulses: Cosine-Gaussian Schell-model (CGSM) pulses.
• To derive and analyze the temporal mutual coherence function of CGSM pulses in dispersive media.
• To investigate the unique pulse-splitting behavior of CGSM pulses.

Main Methods:

• Analytical derivation of the temporal mutual coherence function for CGSM pulses.
• Numerical simulations to study intensity distribution and temporal coherence evolution.
• Parametric analysis of pulse behavior based on source and medium properties.

Main Results:

• An analytic expression for the temporal mutual coherence function of CGSM pulses was derived.
• CGSM pulses exhibit intensity profile and coherence evolution dependent on pulse duration, coherence length, order parameter, and medium dispersion.
• A key finding is the ability of CGSM pulses to split into two distinct pulses in dispersive media.

Conclusions:

• CGSM pulses represent a novel class of partially coherent waves with unique propagation characteristics.
• The critical distance for pulse splitting and subsequent evolution are controllable via source parameters and medium dispersion.
• This research offers potential for advanced optical pulse shaping and manipulation in dispersive environments.