GaussianBeamVI

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A handy tool to visualize Gaussian beam propagation through lenses

GaussianBeamVI 최신버젼 다운로드

최종 버전 다운로드 (.zip)

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# GaussianBeamVI

A handy tool to visualize Gaussian beam propagation through optical lenses.

## Live Demo

🔗 **[Try the interactive web version](https://wwang2.github.io/GaussianBeamVI/)**

![Example visualization](https://raw.githubusercontent.com/wwang2/GaussianBeamVI/master/exmaple1.png)

## Features

- Interactive visualization of Gaussian beam propagation through two lenses
- Real-time parameter adjustment:
  - Wavelength (200-1200 nm)
  - Initial beam waist
  - Lens positions and focal lengths
- Displays calculated beam waist sizes and image positions
- Available as both Python script and web application

## Installation

### Python Version

```bash
pip install numpy matplotlib
python GaussianVi.py
```

### Web Version

Simply open `docs/index.html` in a browser, or visit the GitHub Pages link above.

## Usage

Adjust the sliders to modify:
- **Wavelength**: Light wavelength in nanometers
- **Beam waist**: Initial beam waist radius at z=0
- **Lens positions**: Location of each lens along the optical axis
- **Focal lengths**: Focal length of each lens

The visualization shows:
- **Blue lines**: Beam profile (1/e² radius)
- **Red lines**: Lens positions
- **Green lines**: Beam waist locations

## Theory

For the theory behind Gaussian beam optics, see:
[Gaussian Beam Optics (UCSF)](http://nic.ucsf.edu/blog/wp-content/uploads/2014/06/Gaussian-Beam-Optics.pdf)

Key equations used:
- Rayleigh range: $z_R = \frac{\pi w_0^2}{\lambda}$
- Beam radius: $w(z) = w_0 \sqrt{1 + \left(\frac{z}{z_R}\right)^2}$
- Magnification: $M = \frac{1}{\sqrt{(1-s/f)^2 + (z_R/f)^2}}$

## Notes

1. Ensure the second lens is positioned after the first lens and the first image waist
2. The x=0 position represents the initial beam waist location

## License

See [LICENSE](LICENSE) file.

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