Surface Resolution

Surface Resolution Approximation

An important part of topological interferometry is that the surface be retained in the reflected image. Plane wave solutions are most effective when the surface gradually curves and no sharp peaks are present.

Huygen's Principle

Each point on the surface can be approximated by an outgoing spherical wave (away from the surface). These waves have solutions such as ${\boldsymbol {E}}={\boldsymbol {E_{0}}}e^{i\left({\boldsymbol {k\cdot x}}-\omega t\right)}$

Surface Schematic

${\boldsymbol {E}}={\boldsymbol {E_{0}}}e^{i\left({\boldsymbol {k\cdot x}}-\omega t\right)}$

Huygen's Principle Illustrated (courtesy of http://www.mathpages.com/home/kmath242/kmath242.htm