Cavities with three kinds of dimension errors are also calculated.
The actual profiles of the reflector and SOE before coating the thin film are compared to the designed profiles to investigate the dimension errors and their influence on optical performance.
Based on the concept of equivalent linkage and the derived correlation between the radial-dimension errors and the normal-direction errors of the cam profile, the sensitivity analysis method for equivalent linkages is introduced for analyzing the tolerances in cam-modulated linkages, whose output error equations can be derived through an analytical means.
Five motivating problems: constructibility in geometry, classification of patterns in two dimensions, error-correcting codes, cryptography, and the analysis of symmetry in structures.
For increasing data dimension, the error rates for all considered algorithms decreases continuously.
For any integers L and r, the list-L decoder with multiplicityr guarantees successful recovery of the message subspace provided that the normalized dimension of error is at most ( frac{2left(L+1right)}{r+1}-1-frac{Lleft(L+1right)}{rleft(r+1right)}{R}^{ast } ) where R∗ is the normalized packet rate.
Using the measured reflectivity spectrum, we then use inverse optimization to estimate the realized thin film dimensions, deposition error and unwanted oxidation volume.
While the convergence rate of ME-PCM deteriorates in 50 dimensions, the error in the mean and variance is two orders of magnitude lower than the error obtained with the Monte Carlo method using only a small number of samples (e.g., 100).
A four-step matrix can be constructed, building upon the three dimensions: systematic error, random error, and design error.
