Circuit elements at optical frequency in non-integer dimensional space

In present discussion, the idea of non-integer dimensional (NID) optoelectronics has been investigated. For this purpose, a nano-size sphere of any material (plasmonic or non-plasmonic) placed in NID space has been excited by an optical signal. Fields in the presence of sphere have been used to derive impedances. Reactance for the region inside the sphere is independent of NID parameter. Whereas, the capacitive and inductive behavior of impedance for the region outside the sphere can be controlled through material properties and NID parameter. This gives the existence of fringing capacitance and inductance.