SSS sensitivity to Faraday rotation

 

 

Method : to assume a Faraday rotation angle, then select bias or noise on this angle, then simulate a regression procedure using the Klein-Swift formulation.

 

In the Faraday angle case, since if there is an error it is likely to be the same for every data over a single satellite path, it is more adequate to speak of a bias than of a noise. When considering a bias, in order to estimate accurately the resulting bias on SSS, the measurement noise is set equal to zero. Otherwise (first 2 lines), the noise is taken to be 1 K over the TB. (In such cases, the "bias" figure on SSS simply expresses the consequences of injecting random noise on the TB)

 

The following table shows the main issues.(see columns A,B,C,D,E,K;L).

 

A

B

C

D

E

F

K

L

Comments

SST (0.01 K)

 

Npol

Faraday angle

FA ()

Bias (D)

Bias SSS

(0.01)

Std SSS (0.01)

Incidence angle range :16 angles from 20, step 1.4

No rotation

27300

2

0.0

0.0

0.0

0

0

0

0

-96

73

(1 polar)

27300

1

0.0

0.0

0.0

0

0

0

0

-15

105

1 rotation

27300

2

1.0

0.0

0.0

0

0

0

0

0

0

+ bias 1

27300

2

1.0

1.0

0.0

0

0

0

0

38

0

1 polar

27300

1

1.0

1.0

0.0

0

0

0

0

848

0

10 rotation

27300

2

10.0

1.0

0.0

0

0

0

0

38

0

(1 polar)

27300

1

10.0

1.0

0.0

0

0

0

0

625

0

T=293

29300

2

10.0

1.0

0.0

0

0

0

0

15

0

T=293

29300

1

10.0

1.0

0.0

0

0

0

0

264

0

 

Results :