High-power structured laser modes: manifestation of quantum Green's function.

Area of Science:

• Optics
• Quantum Mechanics
• Cavity Physics

Background:

• The first part of this study established an analogy between resonant frequencies in astigmatic cavities and quantum energy structures.
• Previous work verified that lasing modes exhibit vortex array structures.

Purpose of the Study:

• To theoretically confirm the analogy between astigmatic cavity resonant frequencies and 2D quantum harmonic oscillators.
• To investigate the agreement between lasing modes and quantum Green's functions in the high-order regime.

Main Methods:

• Theoretical analysis of resonant frequency distributions in an astigmatic cavity.
• Comparison of observed lasing modes with quantum Green's functions.

Main Results:

• Theoretical confirmation of the equivalence between astigmatic cavity resonant frequencies and 2D quantum harmonic oscillator energy structures.
• Demonstration of excellent agreement between lasing modes and quantum Green's functions.
• Identification of Lissajous figure patterns within the high-order regime of lasing modes.

Conclusions:

• The study reinforces the quantum-classical correspondence in optical cavities.
• The findings provide a deeper understanding of complex mode structures in lasers.
• This work bridges concepts from optics and quantum mechanics through theoretical equivalence.