Abstract

Optical scatterometry by use of a neural network is now recognized as an efficient method for retrieving dimensions of gratings in semiconductors or glasses. For an on-line control, a small number of measurements and a rapid data treatment are needed. We demonstrate that these requirements can be met by combining data preprocessing and a proper neural learning method. A good accuracy is attainable with the measurement of only a few orders, even in the presence of experimental errors, with a reduction in learning and computing time.

Highlights

  • The increasing integration density in integrated electronic circuits gives rise to new manufacturing capabilities that can be used in the optical domain for the realization of periodic structures of increased spatial frequency

  • The neural network performances were evaluated on the basis of 100 new simulated gratings with parameters randomly chosen in the range defined above

  • Where n is the number of simulated gratings (n ϭ 100), pex is the exact grating parameter value, and pcal is the calculated value given by the neural network

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Summary

INTRODUCTION

The increasing integration density in integrated electronic circuits gives rise to new manufacturing capabilities that can be used in the optical domain for the realization of periodic structures of increased spatial frequency. The last operation is known as the inverse-problem resolution These two stages must be optimized for the low response time needed for a realistic industrial measurement method: The number of diffracted intensities to be measured must be sufficiently low and the treatment of the experimental data instantaneous. In the optical diffracted domain, a neural network has been used to develop an inspection method for a grating structure.[7] several methods for solving the inverse problem include a neural network.[8] Some early results obtained by means of a neural analysis were not as accurate as those obtained from classical linear regression, such as the partial least square method[4] in particular. The conclusion emphasizes the advantages and weaknesses of the method and identifies where future work should be directed

INVERSE-SCATTERING PROBLEM
NEURAL NETWORKS
IMPLEMENTATION OF THE METHOD
Particular Training
RESULTS AND DISCUSSION
CONCLUSION

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