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Appendix 9 Geometric Factor Study for the Deflected and Unscattered Electrons of HISCALE (Buckley MS Thesis continued)

If we could find the appropriate A and g, then we could compute the following integral flux for any passband:

How does one determine A and g?  This can only be done if we bring in additional information from adjacent passbands for one of the two energy channels. For example, say we wish to adjust the E3 passband to fit the upper and lower limits of the DE3 passband. One way of doing this is to model the differential count rates for E2 and E3, and assume that they both have approximately the same constant A and energy spectrum g.  This is not a bad approximation provided the passband of E2 and E3 are adjacent to one another.  Under this assumption, we can write the following:

Taking the ratio, we see that

For E_E2 and E_E3 we can use the geometric mean for those particular passbands, i.e.

A little arithmetic will show that

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