Modal method modeling of binary gratings with improved...

Optics: measuring and testing – Dimension

Reexamination Certificate

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C356S630000, C702S155000, C702S170000

Reexamination Certificate

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07375828

ABSTRACT:
A method of determining actual properties of layered media. An incident beam of light is directed towards the layered media, such that the incident beam of light is reflected from the layered media as a reflected beam of light. The actual properties of the reflected beam of light are measured, and properties of the layered media are estimated. A mathematical model of the layered media based on a modal function expansion is solved with the estimated properties of the layered media to yield theoretical properties of the reflected beam of light. The eigenvalues of the modal functions are computed recursively by recasting the eigenvalue equation in the following form:in-line-formulae description="In-line Formulae" end="lead"?βni+1=F(βni)in-line-formulae description="In-line Formulae" end="tail"?where βni=the eigenvalue of the ithrecursion and F is a function such that βn=F(βn) is mathematically identical to the eigenvalue equation.

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Moharam et al., “formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A, vol. 12, No. 5, May 1995.
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