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Afocal Laser Beam Expander Calculator — result sheet
Calculate ideal beam diameter, angular-divergence ratio, and afocal magnification from two lens focal lengths.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Ideal expansion magnification = |f_output/f_input|; output diameter = input diameter × magnification; output divergence ratio = 1/magnification.
An afocal two-lens beam expander trades beam diameter against angular divergence. The ratio is an ideal first-order optical result, useful for planning and checking a design before accounting for real beam quality and aperture limits.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Input-side focal length — mm; minimum 1.0E-6; maximum 1000000000
- Output-side focal length — mm; minimum 1.0E-6; maximum 1000000000
- Input beam diameter — mm; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Input-side focal length | 25 |
| Output-side focal length | 100 |
| Input beam diameter | 5 |
Ideal magnification = 4×; output beam diameter = 20 mm; divergence ratio = 0.25×.
Assumptions and limits
- Both focal lengths and the beam diameter use compatible length units and focal lengths are nonzero.
- The lenses are thin, aligned, afocal, and the beam is paraxial enough for the focal-length ratio to apply.
- Gaussian beam quality, diffraction, aberrations, clipping, damage thresholds, and laser safety are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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