T1300538 BS_wide-angle_scatter_ZEMAX
6/10/13
Displacement noise requirement @ 100 Hz, m/rt Hz
Motion of manifold @ 100 Hz, m/rt Hz
ITM Elliptical Baffle displacement @ 100 Hz, m/rtHz
ACB displacement @ 100 Hz, m/rtHz
ISI optical table displacement @ 100 Hz, m/rtHz
Transfer function @ 100 Hz, ITM AR
Transfer function @ 100 Hz, BS from SR
BRDF of BD, sr^-1
BRDF of oxidized un-polished steel, sr^-1
BRDF of chamber wall, sr^-1
BRDF of ITM SUS frame @ normal incidence, sr^-1
laser wavelength, m
wave number, m^-1
ITM beam radius, m
see T070303 with arm cavity gain = 13000
Ref. T070247
Transmissivity of ITM HR
input laser power, W
arm cavity gain
arm cavity power, W
Ref. Hiro e-mail 8/29/11
power in power recycling cavity arm, W
radius of ITM, m
hemispherical scattering loss fraction
TM wide angle(ref: T070089)
see T070303 with arm cavity gain = 13000
The following data comes from ZEMAX Lambertian scatter sensor data; see /ALIGO/SLC/BS scatter power summary.xlsx
SCATTER PATH LENGTH
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to
distance from BSAR to WIDE ANGLE BAF BOTTOM LEDGE ITMX, m
distance from BSAR to WIDE ANGLE BAF side ITMX, m
BS INCIDENT ANGLE
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to
incident angle from BSAR to WIDE ANGLE BAF BOTTOM LEDGE ITMX, rad
incident angle from BSAR to WIDE ANGLE BAF side ITMX, rad
The calculation is done for BSAR surface scatter in the X-direction; assume that the same
scatter occurs from the BSHR surface in the Y-direction
FRACTION of LAMBERTIAN SCATTER FROM COC HITTING SURFACE
fractional power from BSAR to
ifractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
ifractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
fractional power from BSAR to
ifractional power from BSAR to WIDE ANGLE BAF BOTTOM LEDGE ITMX, rad
fractional power from BSAR to WIDE ANGLE BAF side ITMX, rad
INCIDENT POWER
ITM ELL BAF PLATE1, W
ITM ELL BAF PLATE2, W
ITM ELL BAF PLATE3, W
BSAR ELL BAF PLATE, W
BSC spool +X, W
BSC flange +X, W
spool BSC2-BSC3, W
BSC spool -Y, W
BSC flange -Y, W
BSC2 cylinder, W
BSC2 top, W
BSC2 bottom, W
HAM4/MC tube, W
ITM middle frame, W
ITM SUS ring, W
ACB Plate6, W
WIDE ANGLE BAF BOTTOM LEDGE ITMX, W
WIDE ANGLE BAF side ITMX, W
POWER SCATTERED INTO IFO MODE
wide angle scattered power from TM hitting the adjacent surface
power re-scattered by TM into IFO mode
combining these equations, we get
ITM ELL BAF PLATE1, W
ITM ELL BAF PLATE2, W
ITM ELL BAF PLATE3, W
TOTAL ITM ELL BAF, W
note: power adds cohherently
BSAR ELL BAF PLATE, W
BSC spool +X, W
BSC flange +X, W
BSC spool -Y, W
BSC flange -Y, W
BSC2 cylinder, W
BSC2 top, W
BSC2 bottom, W
TOTAL BSC2, W
note: power adds incohherently
HAM4/MC tube, W
ITM middle frame, W
ITM SUS ring, W
TOTAL ITM SUS FRAME, W
note: power adds cohherently
ACB Plate6, W
WIDE ANGLE BAF BOTTOM LEDGE ITMX, W
WIDE ANGLE BAF side ITMX, W
TOTAL WIDE ANGLE ITM ACB, W
note: power adds cohherently
DISPLACEMENT NOISE @ 100 Hz, m/rtHz
Note: the following calculation is the total noise from the BSAR and BSHR wide angle scattering, which will add incoherently
Displacement Noise Requirement @ 100 Hz, m/rt Hz
TOTAL ITM ELL BAF
BSAR ELL BAF PLATE
TOTAL BSC2
HAM4/MC TUBE
TOTAL ITM SUS FRAME
TOTAL WIDE ANGLE ITM ACB