1. Geodetically Accurate InSAR Data Processor for Time Series Analysis Howard Zebker, Piyush Shanker, Cody Wortham, Scott Hensley Stanford University and Jet Propulsion Laboratory

5. Definitions for orbital geometry Reference orbit Orbit track projected on reference sphere Coordinate origin at center of sphere with local Earth radius of curvature Point to be imaged Instantaneous squint angle

6. Remember the basics Phase and range relations Doppler relations

7. Focus and position equations in our geometry

8. SCH coordinate system r c – local radius of curvature, not Earth radius s – along track distance on local sphere from reference point c – across-track distance on local sphere h – height above local sphere

9. Geometry for motion compensation distance and phase Actual satellite position Satellite position on reference orbit at same squint direction (Figure is projection of imaging geometry onto the reference sphere)

10. Finding the position on the reference orbit for an actual spacecraft location

11. Motion compensation distance calculation Motion compensation baseline is difference between actual range r’ and reference orbit range r

12. Motion compensation algorithm Derivation of reference distance r: Mocomp distance and phase corrections:

13. Phase history for mocomped scatterer Compare phase histories for r act (t) and r(t)

14. Focus corrections Quadratic phase correction from processing at wrong distance: Frequency domain phase term from range-varying motion compensation phase:

16. Iterative topography correction Topographic phase correction:

17. Impulse response Impulse resolution: 5.3 m range, 4.0 m azimuth Figure for mocomp baseline of 1500 m (InSAR baseline 3km)

18. Single look complex image of SFO

21. Ventura, CA – Atmospheric phases

22. Hawaii – deformation plus atmosphere

23. Iceland – significant ionospheric artifact

24. Correlation images Ventura Hawaii Iceland