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- How to Model a High-Magnification Unstable Laser Resonator.
How to Model a High-Magnification Unstable Laser Resonator.
- By Mikhail Levtonov
- Published 25 October 2005
- User Articles , Physical Optics
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Introduction
Unstable confocal optical resonators with high magnification (about 100x) are commonly used with Metal Vapor Lasers (MVL) with high-aperture active media. The main problem in modeling these devices is the large single-pass loss, which requires an accurate resampling process. Other problems include modelling hard apertures when using Fast-Fourier Transform (FFT) calculations, as sharp edges produce a high-frequency drift of the resulting field.
This article will demonstrate how to handle both these problems. Here is the specification of the laser to be modelled:
Specifications:
Laser:
- Copper vapor (CVL)
- Wavelengths: 510.6 nm and 578.2 nm
- Active medium length: 600 mm
- Active medium diameter: 14 mm
Resonator:
- Confocal with output coupler represented by afocal meniscus with reflective coating of 3 mm in diameter
- Primary mirror: R2032mm
- Secondary (output) mirror: R20.04mm
- Distance: 1005.98mm

Experimental and previous theoretical investigations have shown the output radiation to be independent of starting beam characteristics after at least 2 passes through the resonator. Only diffraction effects and manufacturing and adjustment errors are significant . The following model may be used for system sensitivity analysis of these factors.