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Fabrication of 1-D Photonic Crystal Cavity on a Nanofiber Using Femtosecond Laser-induced Ablation

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Three-dimensional diffraction calculations of laser resonator modes.

|February 4, 2010

Summary

This study applies the Fox and Li numerical technique to analyze complex laser resonator modes. Findings reveal shock wave effects on laser beams, showing potential for phase compensation in optical systems.

Area of Science:

Optics and Photonics
Computational Physics
Laser Engineering

Background:

Traditional laser resonator analysis often assumes symmetry.
Understanding non-symmetric resonators is crucial for advanced laser applications.
The influence of dynamic effects like shock waves on resonator modes is not fully characterized.

Purpose of the Study:

To adapt the Fox and Li numerical method for analyzing modes in asymmetric three-dimensional laser resonators.
To investigate the impact of laser medium shock waves on optical cavity properties and laser beam characteristics.
To evaluate the optical phase patterns and far-field behavior of beams from these complex resonators.

Main Methods:

Application of the Fox and Li numerical technique to non-symmetric resonator geometries.

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Modeling the effect of shock waves as a thin sheet altering the refractive index.

Analysis of near-field and far-field beam patterns, including phase and intensity distributions.

Main Results:

The numerical method successfully computed modes for stable and unstable asymmetric resonators.
Near-field beam patterns directly correlated with shock wave phase fronts, matching experimental gas dynamic laser results.
Far-field beams exhibited significant astigmatism and potential pattern breakup; however, optical phase remained relatively smooth.

Conclusions:

The Fox and Li method is effective for analyzing complex, asymmetric laser resonators.
Shock waves significantly influence laser beam properties, particularly in the far-field.
The smooth optical phase suggests that phase compensation techniques could mitigate beam distortions.