Properties of inflective nano wires

The wave phenomena around inflection points are studied from a new point of view in order to coordinate inflective shapes analytically. The inflective coordinate systems are used to compute the exact solutions. The differential equations obtained using these recently introduced coordinate systems are solved by extending the usual separation method. These extensions bring out new, special functions and series, and the achieved results give the exact meaning of physics related with inflection points. In addition, the electromagnetic wave is calculated around inflection point. The approach is extended to the nano-scale.