MIF's Interface with IOO

Carrier

iKAGRA

Wavelength	1064nm	Comment
Power	>500mW at PRM AR
Polarization	S
Complex beam radius at the PRM AR	9.8358048093144834+i*18.307397678406861	So called q-parameter in the unit of m. Although there is no PRM in iKAGRA, this is a beam parameter at the position where the AR surface of the PRM will be located in bKAGRA. This parameter gives the perfect mode match to the iKAGRA arm cavities. However, the MIF does not require IOO to provide 100% mode matching in iKAGRA phase.
Frequency Noise	To be calculated from the viewpoint of lock acquisition.	Residual frequency noise after the MC.
Relative Intensity Noise	To be calculated from the viewpoint of lock acquisition.
Beam Jitter	To be calculated from the viewpoint of lock acquisition.

bKAGRA

Wavelength	1064nm	Comment
Power	75W at PRM AR
Polarization	S
Complex beam radius at the PRM AR	-10.580258464886768+i*56.648923633432595	So called q-parameter in the unit of m.
Frequency Noise	BRSE, DRSE	Residual frequency noise after the MC. For more detailed discussion, see this.
Relative Intensity Noise	BRSE, DRSE
Beam Jitter	3e-11 rad/rtHz@10Hz, 7e-14 rad/rtHz@100Hz (Safety mergin of 20)	Detail

Modulations

iKAGRA

Name	Freqency	Type	Mod. index	Relative Amplitude to Carrier before PRM	Comment
f1	16.880961MHz	PM	0.1rad

bKAGRA

Name	Frequency	Type	Mod. index	Relative Amplitude to Carrier before PRM	Oscillator Phase Noise	Oscillator Amplitude Noise	Comment
f1	16.880961MHz	PM	0.15rad		BRSE, DRSE	BRSE, DRSE
f2	45.0159MHz	PM	0.05rad		BRSE, DRSE	BRSE, DRSE
f3	56.2699MHz	AM	0.05rad				Non-resonant sidebands to be used only for lock acquisition.

Assumed modulator arrangement

In the Optickle modeling, f1, f2 and f3 modulations are applied in series in this order. Optickle can properly handle the generation of sidebands on sidebands. So it is confirmed that series modulation is OK for bKAGRA. In practice, it may be better to apply f3 modulation first. This is to be discussed with IOO.