CHAMP dewarp equations - Revision history

Monnier at 15:12, 26 May 2010

2010-05-26T15:12:52Z

← Older revision		Revision as of 15:12, 26 May 2010
Line 1:		Line 1:

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	CHAMP Dewarp Equations		CHAMP Dewarp Equations
	John Monnier		John Monnier

Monnier at 14:33, 26 May 2010

2010-05-26T14:33:53Z

← Older revision		Revision as of 14:33, 26 May 2010
Line 5:		Line 5:
	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}</math> and true phase <math>\phi_0<\math>. Then the true fringe intensity:		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>

Monnier at 14:33, 26 May 2010

2010-05-26T14:33:08Z

← Older revision		Revision as of 14:33, 26 May 2010
Line 5:		Line 5:
	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}<\math> and true phase <math>\phi_0<\math>. Then the true fringe intensity:		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>		</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>		</math>

Monnier: 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...

2010-05-26T14:31:10Z

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...

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 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>