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Doppler Optical Coherence Tomography of Retinal Circulation
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Published on: September 18, 2012

Fast approximation of transfer cross coefficient for optical proximity correction.

Romuald Sabatier1, Caroline Fossati, Salah Bourennane

  • 1Institut Fresnel, Ecole Centrale Marseille, CNRS UMR 6133, Marseille Cedex 20, France.

Optics Express
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PubMed
Summary

Model Based Optical Proximity Correction (MBOPC) uses computationally intensive Singular Value Decomposition. This study introduces a faster fixed-point algorithm to estimate eigenvectors, reducing runtime for aerial image computation in photolithography.

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Area of Science:

  • Semiconductor manufacturing
  • Computational lithography
  • Image processing

Background:

  • Model Based Optical Proximity Correction (MBOPC) is crucial for achieving sub-wavelength resolutions in photolithography.
  • Current MBOPC methods rely on computationally expensive Singular Value Decomposition (SVD) for Transfer Cross Coefficient (TCC) analysis.
  • Shrinking pattern dimensions necessitate efficient computational techniques.

Purpose of the Study:

  • To develop a faster algorithm for Model Based Optical Proximity Correction.
  • To reduce the computational runtime of aerial image calculations in MBOPC.
  • To maintain accuracy and minimize information loss during eigenvector estimation.

Main Methods:

  • Extension of a fast fixed-point algorithm.
  • Estimation of a fixed number of leading eigenvectors for TCC decomposition.
  • Application to aerial image computation in MBOPC.

Main Results:

  • The proposed fixed-point algorithm offers a significant speed-up compared to traditional SVD methods.
  • Accurate approximation of aerial images with minimal information loss is achieved.
  • The method effectively handles the decomposition of TCC into eigenvectors.

Conclusions:

  • The developed fast fixed-point algorithm provides an efficient alternative for MBOPC.
  • This advancement can accelerate the design and manufacturing of advanced semiconductor devices.
  • The technique ensures high-fidelity aerial image computation essential for sub-wavelength lithography.