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groups:mg:project_ptb-cavity:linewidth [2017/10/24 09:55] – created ssauer | groups:mg:project_ptb-cavity:linewidth [2017/10/24 11:10] (current) – ssauer | ||
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- | ====== Calcualtion of linewidth ====== | + | ====== Calcualtion of linewidth |
==Parameter== | ==Parameter== | ||
- | * Radius of curvature of mirror R1: R1= 1 m | ||
- | * Radius of curvature of mirror R2: R2= 1 m | ||
* Cavity Length: L= 0.48 m | * Cavity Length: L= 0.48 m | ||
- | * Reflectivity of mirrors: R= 0.99998 | ||
* Speed of light: c= 299792458 m/s | * Speed of light: c= 299792458 m/s | ||
+ | * Finesse: F= 107.000 aus [[https:// | ||
- | $$FSR = \frac{c}{2\cdot L}$$ | + | Freier Spektralbereich: |
- | $$Gouy = \frac{FSR}{\pi} \cdot \arccos \left( \sqrt{(1-\frac{L}{R1})\cdot(1-\frac{L}{R2}} \right)$$ | + | $$FSR = \frac{c}{2\cdot L} -> FSR = 312.284 MHz$$ |
- | $$F = ... $$ | + | |
+ | Linienbreite: | ||
+ | $$\delta \nu = \frac{FSR}{F} -> \delta \nu = 2.927,88 Hz $$ | ||
- | => | ||
- | * FSR = 312.284 MHz | ||
- | * Gouy = 101.783 MHz |