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Related Concept Videos

Boundary Layer Characteristics01:18

Boundary Layer Characteristics

When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...

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Related Experiment Video

Updated: Jun 22, 2026

Patterning via Optical Saturable Transitions - Fabrication and Characterization
08:19

Patterning via Optical Saturable Transitions - Fabrication and Characterization

Published on: December 11, 2014

Binary mask optimization for forward lithography based on the boundary layer model in coherent systems.

Xu Ma1, Gonzalo R Arce

  • 1Department of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USA. maxu@udel.edu

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|July 2, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a new optical proximity correction (OPC) method for subwavelength lithography, accounting for thick-mask effects. The boundary layer model simplifies calculations for improved accuracy in advanced semiconductor manufacturing.

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Multi-step Variable Height Photolithography for Valved Multilayer Microfluidic Devices
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Last Updated: Jun 22, 2026

Patterning via Optical Saturable Transitions - Fabrication and Characterization
08:19

Patterning via Optical Saturable Transitions - Fabrication and Characterization

Published on: December 11, 2014

Multi-step Variable Height Photolithography for Valved Multilayer Microfluidic Devices
10:18

Multi-step Variable Height Photolithography for Valved Multilayer Microfluidic Devices

Published on: January 27, 2017

Area of Science:

  • Semiconductor manufacturing
  • Advanced lithography techniques
  • Computational optics

Background:

  • Current optical proximity correction (OPC) methods often assume thin masks, which is inadequate for subwavelength lithography.
  • Thick-mask effects significantly impact pattern fidelity as critical dimensions shrink.
  • Existing OPC models struggle with accuracy in the subwavelength regime due to neglecting mask thickness.

Purpose of the Study:

  • To develop advanced model-based forward binary mask optimization methods.
  • To incorporate thick-mask effects into OPC for coherent imaging systems.
  • To improve the accuracy of OPC in the subwavelength regime.

Main Methods:

  • Utilized the boundary layer (BL) model to characterize thick-mask effects.
  • Developed a model-based OPC approach simplifying thick-mask considerations.
  • Simulated the performance of the proposed OPC method.

Main Results:

  • The proposed method effectively accounts for thick-mask effects in OPC.
  • The boundary layer model provides a simplified yet effective approach to thick-mask modeling.
  • Illustrative simulations demonstrate the algorithm's capabilities.

Conclusions:

  • The developed model-based OPC method offers a viable solution for subwavelength lithography challenges.
  • The BL model presents a practical approach for integrating thick-mask effects into OPC.
  • Further research can explore the advantages and limitations for broader applications.