Optical Kerr nonlinear material for calculating the coefficient of binomial expansion under any positive integral index

摘要

Abstract An all-optical scheme, namely, optical binomial expansion device (OBED) is proposed based on the inherent convenience of parallelism of optical ray and intensity-dependent refractive index of isotropic positive optical nonlinear material for calculating the binomial co-efficient of a binomial expansion under any positive integral index. For computing binomial coefficients, the intensity level ‘nI’ of the input section functions as the binomial index ‘n’, where ‘n’ denotes the positive integer. Moreover, each output channel of OBED is activated by the fixed intensity level of the individual light. The rudimentary foundation of this scheme is an optical switch. Also, the beam combiner and beam splitter have been utilized strategically to implement the optical process. The present study can be envisaged in optoelectronic and photonic applications.