1 / 13

Faraday thermal lensing numerical simulations

Faraday thermal lensing numerical simulations. Slim Hamdani EGO LIGO-G070358-00-Z. Faraday Thermal Lensing. Virgo: 10W + 3W mismaching:~0.5%. Virgo +: 40W + 10W mismaching:~5%. Advanced Virgo: 150W + 50W mismaching:~37%. When heated, the Faraday isolator:

donovan-rojas
Download Presentation

Faraday thermal lensing numerical simulations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Faraday thermal lensingnumerical simulations Slim Hamdani EGO LIGO-G070358-00-Z Thermal lensing simulation

  2. Faraday Thermal Lensing • Virgo: • 10W + 3W • mismaching:~0.5% • Virgo +: • 40W + 10W • mismaching:~5% • Advanced Virgo: • 150W + 50W • mismaching:~37% • When heated, the Faraday isolator: • Changes its polarization (isolation) • Change non uniformly its refraction index (lensing) • Change non uniformly its dimensions (lensing) Thermal lensing simulation

  3. Finite elements radiation conduction Shield or not Vacuum or not heat radiation air cooling air cooling M. Punturo Matlab’s algorithm Gaussian beam Thermal lensing simulation

  4. Finite elements simulation radiation Q=Ase(T4-T04) Q[Watt/sec] rate of heat flow A [m2]contact area s[Wm-2K-4]Stefan Boltzmann cst e emissivity T[K] temperature conduction Q=kADT/d Q[Watt/sec] rate of heat flow k[Wm-1K-1] thermal conductivity A[m2] contact area DT temperature difference d [m]distance of heat flow Heat transfer equations Thermal lensing simulation

  5. External conditions simulation Shield or free Air or vacuum radiation Q=Ase(T4-T04) convection Q=b(T-Tair)A Q[Watt/sec] rate of heat flow b[Wm-1K-1]flux caracterization DT[K]sample temperature DTair[K]air temperature A [m2]contact area b=[10:100] turbulent or laminar flux Radiation transfer (with the shield considered always thermalized) Thermal lensing simulation

  6. Temperature map TGG heated by a 150 + 50 Watt Yag PR aligned Temperature map Refraction index map & Verdet cst map Thermal lensing simulation

  7. Phase Refraction index Thermal expansion Mean phase change TGG heated by a 150 + 50 Watt Yag Thermal lensing simulation

  8. N index fit -> Zmax Gaussian weighted mean 2nd order fit 6th order radial polynomial fit Zmax Thermal lensing simulation

  9. Focal approximation fit limits ~+- 1waist Circle fit Radius of curvature focal Thermal lensing simulation

  10. Virgo+ and Advanced Virgo thermal lensing Advanced VIRGO (200Watt) Thermal lens: f=13m Mismatch: 37% VIRGO+ (50Watt) Thermal lens: f=66m Mismatch: 5% tunable withthe input telescope E. Geninlogbook entry 13988 Thermal lensing simulation

  11. TGG characterization TGG Yag Next test wit a 0-200 Watt Yag Flip mirror 95% reflection waist SH 2.70e-3 Depending of the sample +- 4 times Preliminary test with a 650mWatt Yag, waist: 180mm Cold-Hot: R~24m. Simulation: R=24.3m. Thermal lensing simulation

  12. Faraday compensation DKDP ? l/2 plate TGG ringheater 45° ? VIRGO+ polarizer polarizer 67.5° rotator DKDP ? Advanced VIRGO ? 22.5 ° 22.5 ° polarizer polarizer Kazanov et al 2004 VIRGO+ Thermal lensing: converging lens Compensator: thermal diverging lens Thermal lensing simulation

  13. To do • - Depolarization measurements @ 50W and 200W on TGG, DKDP or others • Physical parameters characterization of TGG • Validation of the simulation with the metallic shield and under vacuum • Test final design for VIRGO+ • Studying the design for Advanced VIRGO Thermal lensing simulation

More Related