Optomechanical shape analysis using group theory.
We describe an optomechanical technique using a knife-edge, which is scanned spatially across a beam of light to identify shape-based irradiance. Symmetry groups are identified through linear and rotational scanning signatures of illuminated shapes. The scanning signature is used to classify the shape into a symmetry group. To demonstrate the shape analysis technique, we have classified basic geometric shapes, which belong to the orthogonal and dihedral symmetry groups O(2), D(2), D(3), and D(6).
Magnes
Jenny
J
Physics and Astronomy Department, Vassar College, 124 Raymond Avenue, Poughkeepsie, New York 12604, USA. jemagnes@vassar.edu
Kinneberg
Margo
M
Khakurel
Rahul
R
Melikechi
Noureddine
N