Space-time analogy for partially coherent plane-wave-type pulses

Area of Science:

• Optics and Photonics
• Wave Propagation
• Optical Communications

Background:

• Space-time duality is a known concept in physics.
• Partially coherent and incoherent sources present unique propagation challenges.
• Understanding wave field behavior is crucial for optical systems.

Purpose of the Study:

• To extend space-time duality to partially coherent and incoherent wave fields.
• To establish an analogy between paraxial diffraction and temporal distortion.
• To analyze coherence-dependent effects in optical pulse propagation.

Main Methods:

• Extension of space-time duality to partially coherent fields.
• Analysis of paraxial diffraction for quasi-monochromatic beams.
• Retrieval of pulse propagation effects from beam counterparts.
• Application to Gaussian Schell-model beams and pulses.

Main Results:

• Demonstrated space-time duality for partially coherent and incoherent sources.
• Established a general analogy between spatial diffraction and temporal distortion.
• Successfully retrieved coherence-dependent effects for Gaussian Schell-model pulses.
• Provided a framework for source linewidth analysis in optical fiber systems.

Conclusions:

• The extended space-time duality offers a unified view of wave propagation.
• The established analogy simplifies the analysis of complex optical phenomena.
• The findings are directly applicable to optimizing optical fiber communication systems.