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→Surface Resolution Approximation
== Surface Resolution Approximation ==
== 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.
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 <math>\boldsymbol{E} = \boldsymbol{E_0} e^{i \left( \boldsymbol{k \cdot x} - \omega t \right)}</math>
[[Image:ResDiagram1.jpg|thumb|Surface Schematic]]
[[Image:ResDiagram1.jpg|thumb|Surface Schematic]]
<math>\boldsymbol{E} = \boldsymbol{E_0} e^{i \left( \boldsymbol{k \cdot x} - \omega t \right)}</math>
<math>\boldsymbol{E} = \boldsymbol{E_0} e^{i \left( \boldsymbol{k \cdot x} - \omega t \right)}</math>