Patent ID: 8928979
Filing Date: 2015-01-06
Classification: B82Y,G02B

Abstract:
1. A method for structuring an omnidirectional non-metallic mirror, the method comprising: 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 if the transmission coefficient T is below the threshold value T if the transmission coefficient T is above the threshold value T defining another heterostructure by step B) with a new substitution θ and repeating steps C) and D) until a non-metallic omnidirectional mirror is obtained or defining another base structure in step A) and repeating steps B), C), and D); and E) if a non-metallic omnidirectional mirror is identified in step D) depositing N layers to form this omnidirectional non-metallic mirror.