We demonstrate large spectral tuning of glycerol/water microdroplets standing on a superhydrophobic surface using the optical scattering force exerted by a 1064 nm Nd 3+ :YVO 4 solid-state laser. Spectral tuning up to 30 nm is presented in the whispering gallery modes as a result of the deformation of the microdroplets toward a truncated prolate spheroid geometry. Observed large spectral tuning is also reported to be highly reversible. This demonstration can inspire novel, largely tunable optical switches or filters based on liquid microdroplets kept in a sealed chamber.
Polyhedra have interesting symmetries. Therefore they have attracted the attention of scientists and artists from past to present. Thus polyhedra are discussed in a lot of scientific and artistic works. There are only five regular convex polyhedra known as the platonic solids. There are many relationships between metrics and polyhedra. Some of them are given in previous studies. In this study, we introduce two new metrics, and show that the spheres of the 3-dimensional analytical space furnished by these metrics are chamfered cube and chamfered octahedron. Also we give some properties about these metrics. We show that the group of isometries of the 3-dimesional space covered by CC−metric and CO−metric are the semi-direct product of O h and T (3), where octahedral group O h is the (Euclidean) symmetry group of the octahedron and T (3) is the group of all translations of the 3-dimensional space.
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