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Proof-Along-Track Resolution Synthetic Aperature Radar (SAR)

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The PDF document highlights information with regard to the Synthetic Aperature Radar.

Of interest for the problems in the word document are the equations on page 5 (title: Along-track resolution) and 6 of the PDF document.
The equation for two-way phase shift with regard to range is shown on page 3.

Thanks in advance for any/all assistance.

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Solution Summary

The solution provides a step-by-step proof for the resolution synthetic aperture radar.

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On page 3:

phi = phi_o + 2pi*v^2*t^2/lembda*Ro + higher order terms

Because, in higher order terms the denominator increases much faster than numerator, therefore the higher order terms are neglected.

Therefore,
phi = phi_o + ...

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