Below are plots comparing the kappas and cavity pole from LHO as computed in the GDS pipeline and the SLM tool. The data is from the end of a lock stretch, starting on October 24, 2016, at GPS time 1161341820, and lasting 4.5 hours. The agreement is very good for the most part, with the following exceptions:
1) kappa_c as computed by GDS is slightly larger than that computed by SLM.
2) The cavity pole as computed by GDS is smaller by about 2-3% (~10 Hz).
Below is a table of mean and standard deviation values for the data taken from GDS, SLM, and the ratio GDS / SLM:
SLM mean SLM std GDS mean GDS std ratio mean ratio std
Re(kappa_tst) 0.8920 0.0068 0.8915 0.0058 0.9995 0.0044
Im(kappa_tst) -0.0158 0.0039 -0.0145 0.0014 0.9725 1.0764
Re(kappa_pu) 0.8961 0.0080 0.8956 0.0059 0.9995 0.0067
Im(kappa_pu) -0.0050 0.0056 -0.0034 0.0022 0.1662 28.8601
kappa_c 1.1115 0.0094 1.1168 0.0087 1.0048 0.0078
f_c 354.2332 2.9296 345.0556 2.3106 0.9742 0.0104
Below is an updated table of mean and standard deviation values for the data taken from GDS, SLM, and the ratio GDS / SLM with imaginary parts rescaled by adding 1.0 (~the magnitude of the kappas):
SLM mean SLM std GDS mean GDS std ratio mean ratio std
Re(kappa_tst) 0.8920 0.0068 0.8915 0.0058 0.9995 0.0044
Im(kappa_tst) -0.0158 0.0039 -0.0145 0.0014 1.0014 0.0042
Re(kappa_pu) 0.8961 0.0080 0.8956 0.0059 0.9995 0.0067
Im(kappa_pu) -0.0050 0.0056 -0.0034 0.0022 1.0017 0.0061
kappa_c 1.1115 0.0094 1.1168 0.0087 1.0048 0.0078
f_c 354.2332 2.9296 345.0556 2.3106 0.9742 0.0104
Here are covariance matrices and correlation coefficient matrices between SLM and GDS:
Covariance Correlation
Re(kappa_tst)
1.0e-04 *
0.4618 0.3208 1.0000 0.8163
0.3208 0.3345 0.8163 1.0000
Im(kappa_tst)
1.0e-04 *
0.1507 0.0012 1.0000 0.0211
0.0012 0.0210 0.0211 1.0000
Re(kappa_pu)
1.0e-04 *
0.6385 0.3128 1.0000 0.6636
0.3128 0.3480 0.6636 1.0000
Im(kappa_pu)
1.0e-04 *
0.3140 -0.0036 1.0000 -0.0293
-0.0036 0.0495 -0.0293 1.0000
kappa_c
1.0e-04 *
0.8895 0.4464 1.0000 0.5464
0.4464 0.7502 0.5464 1.0000
f_c
8.5828 -0.0252 1.0000 -0.0037
-0.0252 5.3387 -0.0037 1.0000
Updated plots are attached as well.