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| groups:mg:project_ptb-cavity:optical_contacting [2017/08/08 12:49] – ssauer | groups:mg:project_ptb-cavity:optical_contacting [2017/10/24 09:38] (current) – ssauer | ||
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| * Durchgeführt von T. Legero an der PTB. | * Durchgeführt von T. Legero an der PTB. | ||
| * Dokumentation: | * Dokumentation: | ||
| - | |||
| - | ===== Calculation between cavity spectrum and frequency distance ===== | ||
| - | Caculates the cavity spectrum and the frequency distance between TEM_00 and higher order modes m+n. Two curved mirrors possible. Programm made by T. Legero. | ||
| - | ==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 | ||
| - | * Reflectivity of mirrors: R= 0.99998 | ||
| - | * Speed of light: c= 299792458 m/s | ||
| - | | ||
| - | **Step 1: Calculate the Free-Spectral-Rang and Gouy-Phase**\\ | ||
| - | * Free-Spectral-Rang: | ||
| - | * Gouy-Phase: Gouy | ||
| - | $$FSR = \frac{c}{2\cdot L}$$ | ||
| - | $$Gouy = \frac{FSR}{\pi} \cdot \arccos \left( \sqrt{(1-\frac{L}{R1})\cdot(1-\frac{L}{R2}} \right)$$ | ||
| - | |||
| - | => | ||
| - | * FSR = 312.284 MHz | ||
| - | * Gouy = 101.783 MHz | ||
| - | |||
| - | **Step 2: Calculate the difference between TEM_00 and TEM_mn**\\ | ||
| - | * TEM mode number: mn | ||
| - | * Difference between TEM_00 and TEM_mn: delta | ||
| - | $$ \delta = FSR - mn\cdot Gouy $$ | ||
| - | |||
| - | * Define mn_max and w_max: | ||
| - | * mn_max = 100 | ||
| - | * w_max = 100 | ||
| - | * Define max frequency difference: | ||
| - | * abs(delta(mn, | ||
| - | |||
| - | |||
| - | => | ||
| ===== Photos ===== | ===== Photos ===== | ||