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Surface topography by caustics.

P S Theocaris, E E Gdoutos

|February 19, 2010

Summary

The optical method of caustics can now map any surface topography. This universal technique uses light patterns (caustics) to reveal surface shapes with high sensitivity.

Area of Science:

Optics
Materials Science
Surface Metrology

Background:

The optical method of caustics was initially used for elastic stress fields.
Its application was limited to specific types of surfaces and stress singularities.

Purpose of the Study:

To generalize the optical method of caustics for studying any surface topography.
To develop a universal technique for surface analysis using caustics.

Main Methods:

Formulated a general theory of caustics for surface topography.
Applied the technique using parallel, convergent, or divergent light beams.
Studied an axisymmetric mirror with varying elliptical cross-sections as a test case.

Main Results:

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Demonstrated a universal technique for surface topography analysis using caustics.
Showcased the high sensitivity of caustics to surface form.
Validated the method for surfaces with both large and infinitesimal slopes.

Conclusions:

The generalized method of caustics is effective for recording the topography of any surface.
The technique offers a sensitive and versatile approach to surface metrology.
Caustics provide valuable insights into surface geometry and deformation.