Optical Contacting

• Durchgeführt von T. Legero an der PTB.
• Dokumentation: labjournal_thomas_legero

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.

• 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: FSR
• 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,w)) < 10E6

⇒

Durchgeführt am 10.07.2017

Durchgeführt am 27.07.2017