Patent ID: 9477017
Filing Date: 2016-10-25
CPC Classification: B82Y,G02B

Claim Text:
1. An omnidirectional nonmetallic mirror custom made to be omnidirectional within a range from θ 1 to θ 2 , wherein θ 1 and θ 2 are each a value in the range of 0 to 90 degrees and selected before the omnidirectional nonmetallic mirror is prepared by a process comprising the steps of: A) defining a base structure including at least two layers, layer a and layer b, made of different non-metallic materials, layer a and layer b being each associated with an elementary matrix incorporating physical parameters of the layer and parameters of light passing through the layer, the physical parameters including thickness d B) defining a heterostructure by applying a selected substitution σ to the base structure, the substitution σ replacing one layer in the base structure with a predetermined combination of layer a and layer b, the heterostructure defined by the iterated action of σ having a total of N layers with each layer j being associated with its transfer matrix S C) calculating a product of matrices with a computer by a block-wise recurrence defined by σ and according to their arrangement by means of the block-wise recurrence to obtain the transfer matrix M N of the heterostructure defined in step B, from which the heterostructure transmission coefficient T is calculated also by the computer with the formula: where TrM N is the trace of the matrix M N and aTrM N its antitrace; D) comparing the transmission coefficient T so obtained with a threshold value T E) if a non-metallic omnidirectional mirror is identified in step D depositing N layers to form the omnidirectional non-metallic mirror.