Asymmetric fluid-structure dynamics in nanoscale imprint lithography

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pressure distribution. Then this pressure must be numerically integrated to obtainthe force and torque.7.2.2 Distributed parameter model of the mechanical systemThe mechanical system has been modeled as a lumped parameter massspring-dampermodel leading to a two degree of freedom mechanical system.Structural interaction leads to an increase in the number of degrees of freedom.For example, the revolute joint adds another rotational degree of freedom that hasnot been modeled in this research. Screw systems theory could be used to modelsuch mechanical systems with a large number of degrees of freedom.7.2.3 Measurements with Patterned TemplatesThe current gap-sensing scheme can be used to measure the gap betweenthe template and substrate for base layers down to 350 nm without using theIMMA algorithm. This algorithm has not been successfully applied to thecomputation of thin base layers. A workaround to this problem is to have a stepin the template. For the area that is not used for imprinting, there can be a 300 nmrecess in the template, for example. This is illustrated in Figure 7.4.Measurements using patterned templates can then be performed withoutexceeding the limits of the gap sensing tool.Recess DepthFigure 7.1 Recessed depth to aide in gap sensing with pattern templates101
7.2.4 Control schemeThe ultimate goal of an active stage system is to actively control theorientation of the template relative to the substrate. A better understanding of thefluid mechanical effects gives insight in the process of developing a feedforwardor feedback control system. In a feedback control scheme, the controller wouldtake as input the gap sensing information and perform real-time control at 10 Hzor better. Ultra-high resolution, high bandwidth actuation can be supplied bypiezoelectric actuators, which are capable of nanometer resolution motions.102
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Asymmetric Fluid-StructureDynamics
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AcknowledgementsFirst of all, I wou
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Table of ContentsList of Tables ...
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6.2.3 Control Software ............
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List of FiguresFigure 1.1 Optical m
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Figure 6.9 Force due to fluid press
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The exponential escalation in the c
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1.2.1 Optical Lithography Process O
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patterns to the desired specificati
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1.3 STEP AND FLASH IMPRINT LITHOGRA
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transferlayerwaferStep 1: Spin-coat
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the etch barrier fluid has an infin
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Researchers at the University of Te
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stage development. Design requireme
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minimum and maximum base layer thic
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square plate with fluid completely
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7. The fluid is assumed incompressi
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⎛ ∂ ⎞⎜τdz ⎟dxdy⎝+ τ
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where V 1 and V 2 correspond to U 1
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ddx⎛⎜h⎝3dp ⎞ ∂h⎟ = 12µ
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dhdtLzhθh αh βxx αx = 0 x βFig
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C2hhtanθ2 21= αxαxβxαxβ( ) (
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⎛⎜ hD⎜⎝6C ⎞1tanθ⎟24µh
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at the plate edges. Freeland obtain
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For the case of 10 psi of pressure,
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are the same as the width of the tr
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orientation stages relative to the
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Wafer ChuckAir SolenoidMounting Pla
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The one degree-of-freedom template
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Figure 3.7 Initial and final desire
Page 63 and 64: 7645321Figure 3.8 Active stage prot
Page 65 and 66: Chapter 4: Real-Time Gap Sensing Vi
Page 67 and 68: R( λ)( 4πnd/ λ)2 2 −2αd−αd
Page 69 and 70: Rate Monitoring and is adapted for
Page 71 and 72: 10090807060PSD504030201000 500 1000
Page 73 and 74: the multi-imprint and active stage
Page 75 and 76: 5.2.2 Composite Stiffness and Dampi
Page 77 and 78: ( )2πR−1.5clamping length of 1.5
Page 79 and 80: 65actuator height, micron432100 0.1
Page 81 and 82: time marching is required to minimi
Page 83 and 84: 5.4 SQUEEZE FILM DYNAMICS OF INCLIN
Page 85 and 86: force, lb504540353025201510500 0.05
Page 87 and 88: improve upon these results by tunin
Page 89 and 90: Again, Figure 5.12 shows that a bas
Page 91 and 92: optically flat quartz plate coated
Page 93 and 94: optic probe was illuminated with a
Page 95 and 96: Figure 6.3 Screenshot of control so
Page 97 and 98: 6.3 EXPERIMENTAL PROCEDUREExperimen
Page 99 and 100: film thickness, nm40003800360034003
Page 101 and 102: Figure 6.6 shows that the force due
Page 103 and 104: similar. In Figures 6.7 and 6.8, th
Page 105 and 106: 500045004000film thickness, nm35003
Page 107 and 108: Figure 6.13 shows the force-time pl
Page 109 and 110: ⎛ n ⎞in the FFT that is not ind
Page 111 and 112: when measuring thin layers in the r
Page 113: is a major milestone. The next step
Page 117 and 118: Assuming the liquid perfectly wets
Page 119 and 120: ase h (for a semi-circular notch,h
Page 121 and 122: Chou, S. Y., P .R. Krauss, and P. J
Page 123 and 124: Tripp, J. H. 1983. Surface roughnes
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Asymmetric fluid-structure dynamics in nanoscale imprint lithography

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