Approximate solution of diffraction integral equation of resonator.

Area of Science:

• Optics and Photonics
• Laser Physics

Background:

• Understanding transverse modes is crucial for laser resonator design.
• Cavity parameters significantly influence laser beam quality.

Purpose of the Study:

• To develop a novel approximate solution for transverse modes.
• To investigate the impact of resonator parameters on transverse mode characteristics.

Main Methods:

• Utilized the diffraction integral equation.
• Applied the principle of slow amplitude approximation.
• Derived an approximate solution for transverse modes.

Main Results:

• The derived solution incorporates resonator parameters 'a' (section size) and 'g' (stability parameter).
• Theoretical analysis confirmed that 'a' and 'g' influence transverse mode shape and quality.
• Experimental validation supported the theoretical findings.

Conclusions:

• Resonator parameters 'a' and 'g' play a key role in transverse mode formation.
• Optimizing 'a' and 'g' can enhance the quality of the transverse pattern.
• The developed solution provides a valuable tool for resonator design and optimization.