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Particle contamination effects in extreme ultraviolet lithography: enhanced theory for the analytical determination of critical particle sizes

[+] Author Affiliations
Gerd Brandstetter

University of California, Berkeley, 538 Davis Hall Berkeley, California 94720-1710

Sanjay Govindjee

University of California, Berkeley, Department of Civil Engineering, Structural Engineering, Mechanics and Materials, 779 Davis Hall BerkeleyCalifornia 94720-1710

J. Micro/Nanolith. MEMS MOEMS. 11(2), 023011 (Jun 13, 2012). doi:10.1117/1.JMM.11.2.023011
History: Received February 29, 2012; Revised April 27, 2012; Accepted May 11, 2012
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Abstract.  Existing analytical and numerical methodologies are discussed and then extended in order to calculate critical contamination-particle sizes, which will result in deleterious effects during extreme ultraviolet lithography E-chucking in the face of an error budget on the image-placement-error (IPE). The enhanced analytical models include a gap-dependent clamping pressure formulation, the consideration of a general material law for realistic particle crushing and the influence of frictional contact. We present a discussion of the defects of the classical de-coupled modeling approach where particle crushing and mask/chuck-indentation are separated from the global computation of mask bending. To repair this defect we present a new analytic approach based on an exact Hankel transform method which allows a fully coupled solution. This will capture the contribution of the mask-indentation to the image-placement-error (estimated IPE increase of 20%). A fully coupled finite element model is used to validate the analytical models and to further investigate the impact of a mask back-side CrN-layer. The models are applied to existing experimental data with good agreement. For a standard material combination, a given IPE tolerance of 1 nm and a 15 kPa closing pressure, we derive bounds for single particles of cylindrical shape (radius×height<44μm2) and spherical shape (diameter<12μm).

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© 2012 Society of Photo-Optical Instrumentation Engineers

Topics

Particles ; Reticles

Citation

Gerd Brandstetter and Sanjay Govindjee
"Particle contamination effects in extreme ultraviolet lithography: enhanced theory for the analytical determination of critical particle sizes", J. Micro/Nanolith. MEMS MOEMS. 11(2), 023011 (Jun 13, 2012). ; http://dx.doi.org/10.1117/1.JMM.11.2.023011


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