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Related Experiment Video

Updated: May 12, 2026

Patterning via Optical Saturable Transitions - Fabrication and Characterization

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Published on: December 11, 2014

Library-based illumination synthesis for critical CMOS patterning.

Jue-Chin Yu¹, Peichen Yu, Hsueh-Yung Chao

¹Department of Photonics and Institute of Electro-Optical Engineering, National Chiao Tung University, Hsinchu 30050, Taiwan. juechinyu@gmail.com

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society

|March 27, 2013

Summary

This study presents a new algorithm for optimizing illumination sources in optical microlithography. It enables better pattern fidelity and mask design by using freeform sources and analytical solutions.

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Last Updated: May 12, 2026

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Area of Science:

Semiconductor Manufacturing
Optical Engineering
Computational Lithography

Background:

Optical microlithography requires early determination of illumination sources for critical complementary metal-oxide-semiconductor (CMOS) layers, often with limited design data.
Freeform sources offer potential for improved pattern fidelity and reduced mask complexity in semiconductor manufacturing.
Current source optimization methods may not fully leverage the capabilities of freeform sources.

Purpose of the Study:

To develop a rigorous algorithm for optimizing freeform illumination sources in optical microlithography.
To enhance pattern fidelity and relax mask complexities by effectively utilizing advanced source designs.
To provide a method for linking synthesized illumination with pattern libraries for design rule studies and automation.

Main Methods:

A rigorous source-optimization algorithm based on the linear superposition of optimal sources for pre-selected patterns.
Application of Hopkins formulation and quadratic programming to derive analytical solutions for source optimization.
Integration of the algorithm with pattern libraries for comprehensive wafer-level optimization.

Main Results:

Demonstration of analytical solutions for freeform source optimization.
Successful linkage of synthesized illumination with diverse pattern libraries.
Validation of the algorithm's impact on design rule studies and early technology node planning.

Conclusions:

The presented algorithm offers a rigorous approach to freeform source optimization in optical microlithography.
This method enhances pattern fidelity and mask design, facilitating early planning and design automation.
The findings have direct implications for advancing semiconductor manufacturing processes and design rules.