Optical Invariant (Lagrange) calculator
Conserved Lagrange invariant of a system.
Category: Imaging
Formula: H = n·y·u' - n·y'·u
Inputs
| Input | Parameter | Unit | Default |
|---|---|---|---|
| Index n | n | 1 | |
| Marg. ray y | y | mm | 5 |
| Chief u' | up | rad | 0.1 |
| Chief y' | yp | mm | 2 |
| Marg. u | u | rad | 0.05 |
Result with the default inputs
- Invariant H: 0.4 mm·rad
Open it with your own values: put each input in the address as a parameter, for example /calculators/optical-invariant-lagrange?n=1. A unit other than the listed one goes in <parameter>_unit.