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Beam Expander Optimizer
Wavelength: nm
Available lenses:
Thorlabs 1" Thorlabs 2" Custom (ex: "18.4;25.2;52.4")
First lens mm
Second lens mm
\(f_1\) range: from mm to mm
\(f_2\) range: from mm to mm
Max. beam diameter at first lens: mm
Max. beam diameter at second lens: mm
Input beam waist:
Target beam waist:
Mode-matching eff.1 \(f_1\) (mm) \(f_2\) (mm) Output beam waist () ⌀ @ Lens 1 (mm) ⌀ @ Lens 2 (mm)

Notes:

Last update: 2025-04-09

1. Mode-matching efficiency

Mode-matching efficiency is calculated using equation 9 in W. Joyce and B. DeLoach, "Alignment of Gaussian beams," Appl. Opt. 23, 4187-4196 (1984)., simplified to assume same waist position: $$\text{Power transmission} = \frac{4}{\left( \frac{w_1}{w_2} + \frac{w_2}{w_1}\right)^2}$$