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Simple Advanced Virgo arm cavity simulations

by Jerome Degallaix — last modified 2013-09-09 15:15

Cross checking results for a near perfect Advanced Virgo arm cavity

The simulations do not contain mirror maps but may include mode mismatching and slight misalignment.

Results for perfect cavity

    DarkF
  Finesse*
  FOG  
  MIST  
  OSCAR  
Circulating power [W]
 280.639 280.647 280.637 280.719 280.635
Reflected power [W]
 0.9783 0.9784 0.9783 0.9789 0.9783
Transmitted power [mW]
 0.561 0.5610.561
  0.561 0.561

* Does not take into account the finite size of the mirrors (no diffraction loss)

Cavity parameters:

RofC ITM = 1420 m

RofC ETM = 1683 m

Mirror aperture = 33 cm

Transmission ITM = 0.014

Transmission ETM = 2 ppm

Cavity round trip loss = 75 ppm

The input mirror is assumed to be very thin, with a flat perfect AR surface. Refractive index = 1.45.

Parameter of the input beam in that case w = 4.86 cm, R wavefront = -979.3 m, the input power is 1W


Results in case of mode mismatching

    DarkF
  Finesse*
  FOG  
  MIST  
  OSCAR  
Circulating power [W]
 274.894 274.931 274.697 274.768 274.645
Reflected power [W]
 0.9777  0.9788 0.9778 0.9778 0.9778
Transmitted power [mW]
 0.549  0.550 0.549  0.5495 0.549

* Does not take into account the finite size of the mirrors (no diffraction loss)

Same parameters as above, except RofC ETM = 1640 m (bigger than the expected mode mismatching but easier to see the effect in the simulations)



Results in case of EM misalignement

    DarkF
  Finesse*
  FOG  
  MIST  
  OSCAR  
Circulating power [W]
 274.973 274.959274.945
 275.041 274.940
Reflected power [W]
 0.9787  0.9788 0.9787 0.9793 0.9787
Transmitted power [mW]
 0.549  0.550 0.550 0.550 0.550

* Does not take into account the finite size of the mirrors (no diffraction loss)

Same parameters as the perfect case, except with a tilted ETM by 0.3 microrad


Simulation files

Below are the simulation files used to reproduce the results presented above
Finesse .kat file
OSCAR files