Wavelength calibration note

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Wavelength Calibration

Tests have been undertaken at Sira on the dispersion of CHRIS. The results are shown plotted in Figure 1 together with a 5 th order polynomial curve that is the best least square fit to the measurements. The measurement were taken at 20.2

C, a shift will be expected due to launch and temperature changes.

Figure 2 shows a plot of the difference between the measured data and the 5 th

order polynomial. The differences are very small and can probably be accounted for largely by experimental error. If desirable, a slightly better fit can be obtained by dividing the curve into two sections and fitting 5 th

order polynomial curves to each of these separately.

Table 1 lists the relevant coefficients for a polynomial of the form:

= A

0

+A

1 n+A

2 n

2

+A

3 n

3

+A

4 n

4

+A

5 n

5 where

is the wavelength in nm and n is the array row number.

WAVELENGTH

RANGE (nm)

400 – 640

640 – 1050

400 – 1050

A

5

A

4

2.35573 x 10 -8 -6.62753 x 10 -6

-5.90263 x 10 -8 3.35818 x

10 -5

-6.21248 x 10 -9 3.54053 x

10 -6

A

3

A

2

A

1

A

0

7.71120 x 10 -4 -3.17521 x 10 -

2

1.82870 380.835

-7.15930 x 10 -3 7.50379 x 10 -1 -36.0441 1081.93

-5.20920 x 10 -4 4.27704 x 10 -2 -.0464701 396.140

Table 1 Polynomial coefficients to fit the wavelength calibration curves

WAVELENGTH CALIBRATION

1100.00

1000.00

900.00

800.00

700.00

600.00

500.00

400.00

0 20 40 60 80 100

COLUMN NUMBER

120 140 160

Fig. 1 Plot of wavelength calibration data and best fit 5 th

(T=20.2

C)

order polynomial

180

10.00

9.00

8.00

7.00

6.00

-3.00

-4.00

-5.00

-6.00

-7.00

-8.00

-9.00

-10.00

5.00

4.00

3.00

2.00

1.00

0.00

-1.00

-2.00

300.00

DEPARTURE OF MEASURED WAVELENGTHS FROM VALUES PREDICTED BY

POLYNOMIAL EQUATION

400.00

500.00

900.00

1000.00

600.00

700.00

WAVELENGTH nm

800.00

1100.00

Fig.2 Difference between measured data and best-fit polynomial – blue triangles are for a single polynomial and red dots for two polynomials

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