Related Experiment Video
Updated: Jun 16, 2026
13:02
Fabrication of 1-D Photonic Crystal Cavity on a Nanofiber Using Femtosecond Laser-induced Ablation
Published on: February 25, 2017
Three-dimensional diffraction calculations of laser resonator modes.
Applied Optics
|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.
- 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.
Related Concept Videos
01:29Determination of Crystal Structures
In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...
02:18X-ray Crystallography
The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
01:28Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by: