CHAMP dewarp equations: Difference between revisions
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New page: CHAMP Dewarp Equations John Monnier written up 2010May26 based on idea that the fringe frequency is known and the opd steps in the ABCD are known but not equally spaced. So assume we ha... |
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based on idea that the fringe frequency is known and the opd steps in the ABCD are known but not equally spaced. | based on idea that the fringe frequency is known and the opd steps in the ABCD are known but not equally spaced. | ||
So assume we have a fringe of spatial frequency <math>k_0 = \frac{2 \pi}{\lambda_0}< | So assume we have a fringe of spatial frequency <math>k_0 = \frac{2 \pi}{\lambda_0}</math> and true phase <math>\phi_0<\math>. Then the true fringe intensity: | ||
<math> | <math> | ||
I_i = A_0 sin (2 \pi k_0 x_i - \phi_0 ) + I_0 | I_i = A_0 sin (2 \pi k_0 x_i - \phi_0 ) + I_0 | ||
< | </math> | ||
The true quadrature terms X,Y are then: | The true quadrature terms X,Y are then: | ||
<math> X_0 = -A_0 sin(\phi_0) | <math> X_0 = -A_0 sin(\phi_0) | ||
Y_0 = A_0 cos(\phi_0) | Y_0 = A_0 cos(\phi_0) | ||
< | </math> | ||
Revision as of 14:33, 26 May 2010
CHAMP Dewarp Equations John Monnier written up 2010May26
based on idea that the fringe frequency is known and the opd steps in the ABCD are known but not equally spaced.
So assume we have a fringe of spatial frequency <math>k_0 = \frac{2 \pi}{\lambda_0}</math> and true phase <math>\phi_0<\math>. Then the true fringe intensity:
<math> I_i = A_0 sin (2 \pi k_0 x_i - \phi_0 ) + I_0 </math>
The true quadrature terms X,Y are then: <math> X_0 = -A_0 sin(\phi_0) Y_0 = A_0 cos(\phi_0) </math>
