Dihedral optical resonators and prism beam waveguides.

Area of Science:

• Optics and Photonics
• Theoretical Physics

Background:

• Optical resonators are fundamental components in laser systems and optical experiments.
• Traditional designs often employ spherical or flat mirrors, limiting certain configurations.
• A need exists for theoretical frameworks describing novel resonator geometries.

Purpose of the Study:

• To develop a simple theory for optical resonators with dihedral angle mirrors.
• To analyze the intensity distribution and mode characteristics within these novel resonators.
• To provide a mathematical framework for understanding beam-waveguide resonators.

Main Methods:

• Development of a geometric optical model for the resonator.
• Analysis of intensity variation using analogies to spherical mirror resonators.
• Identification of continuous medium modes as limits of prism sequences.
• Derivation of mode characteristics using Airy functions.

Main Results:

• A theoretical model for optical resonators with dihedral angle mirrors was established.
• Intensity variations within the resonator were determined geometrically.
• Resonator modes were characterized using Airy functions and a parameter Omega.
• A spot size parameter was derived as [Omega/2k0(2)]1/3.

Conclusions:

• The developed theory provides a viable method for analyzing novel optical resonator designs.
• The use of dihedral angle mirrors and prism beam-waveguides offers an alternative to conventional resonator geometries.
• The findings contribute to the understanding and design of optical resonators for various applications.