LCGTALSPhaseNoise
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開始行:
[[LCGTNotes]]
* Phase Noise Requirement for Green Laser [#d3bb1ce3]
** Differential frequency noise requirement [#z7c239c3]
The green laser is phase locked to the main laser (PSL) w...
The FSR of the arm cavity is about 50kHz. Since the fines...
** Conversion of the SSB phase noise to frequency noise [...
Usually the noise performance of an oscillator is specifi...
We have to convert this SSB noise to the RMS frequency fl...
Now, if the phase noise at a particular frequency &math2(...
#math2(\exp[i\{\Omega t + m \sin (\omega t)\}] \simeq J_0...
Therefore,
#math2(N_\mathrm{SSB}(f) = \frac{J_1(m)}{J_0(m)} \simeq \...
where &math2(m^\mathrm{RMS}(f) = m(f)/\sqrt{2}); is the R...
Since the frequency noise is just the time derivative of ...
#math2(f_\mathrm{n}^\mathrm{RMS}(f) = f m^\mathrm{RMS}(f)...
The total RMS frequency fluctuation is given by the follo...
#math2(\Delta f = \sqrt{2\int^\infty_0 \{f_\mathrm{n}^\m...
** 1/f phase noise [#cf6cdd41]
Assuming 1/f noise shape of &math2(N^2_\mathrm{SSB}(f));,...
#math2(N^2_\mathrm{SSB}(f) = \frac{N^2_0}{f}\quad \righta...
where &math2(N^2_0); is the SSB phase noise at 1Hz and &m...
With &math2(N^2_0); = -110dBc (about the spec. of R&S SMB...
終了行:
[[LCGTNotes]]
* Phase Noise Requirement for Green Laser [#d3bb1ce3]
** Differential frequency noise requirement [#z7c239c3]
The green laser is phase locked to the main laser (PSL) w...
The FSR of the arm cavity is about 50kHz. Since the fines...
** Conversion of the SSB phase noise to frequency noise [...
Usually the noise performance of an oscillator is specifi...
We have to convert this SSB noise to the RMS frequency fl...
Now, if the phase noise at a particular frequency &math2(...
#math2(\exp[i\{\Omega t + m \sin (\omega t)\}] \simeq J_0...
Therefore,
#math2(N_\mathrm{SSB}(f) = \frac{J_1(m)}{J_0(m)} \simeq \...
where &math2(m^\mathrm{RMS}(f) = m(f)/\sqrt{2}); is the R...
Since the frequency noise is just the time derivative of ...
#math2(f_\mathrm{n}^\mathrm{RMS}(f) = f m^\mathrm{RMS}(f)...
The total RMS frequency fluctuation is given by the follo...
#math2(\Delta f = \sqrt{2\int^\infty_0 \{f_\mathrm{n}^\m...
** 1/f phase noise [#cf6cdd41]
Assuming 1/f noise shape of &math2(N^2_\mathrm{SSB}(f));,...
#math2(N^2_\mathrm{SSB}(f) = \frac{N^2_0}{f}\quad \righta...
where &math2(N^2_0); is the SSB phase noise at 1Hz and &m...
With &math2(N^2_0); = -110dBc (about the spec. of R&S SMB...
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