Asymmetric fluid-structure dynamics in nanoscale imprint lithography

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5.5 SQUEEZE FILM DYNAMICS OF PARALLEL, CIRCULAR PLATESThe analytical squeeze film damping force for parallel, circular plates wasapplied to the equations of motion of the mechanical system. The analyticalequations for the fluid pressure for a parallel circular plate with a circular dropfrom chapter 3 were applied to this simulation.In this section, the results of a numerical simulation of the squeeze filmdynamics are presented. The results from numerous simulations show verysimilar trends. The results presented here are nearly optimal when consideringfinal base layer thickness, required actuation forces, and the time to achieve thedesired base layer thickness. The results of the simulation in this section showsimilar behavior as in the previous section where the solution of the twodimensionalReynolds equation was applied.200018001600base layer thickness, nm14001200100080060040020000 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5time, sFigure 5.12 Base layer thickness corresponding to the case of finite, parallelcircular plates75
Again, Figure 5.12 shows that a base layer thickness of 200 nm can beobtained within reasonable force limits of the actuators. The actuation scheme inthis case resulted in an improved force-time profile similar to the double s-curveactuation in the previous section.force, lb504540353025201510500 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5time, sFigure 5.13 Force corresponding to the case of finite, parallel circular plates76
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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
Page 27 and 28:
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
Page 35 and 36:
7. The fluid is assumed incompressi
Page 37 and 38: ⎛ ∂ ⎞⎜τdz ⎟dxdy⎝+ τ
Page 39 and 40: where V 1 and V 2 correspond to U 1
Page 41 and 42: ddx⎛⎜h⎝3dp ⎞ ∂h⎟ = 12µ
Page 43 and 44: dhdtLzhθh αh βxx αx = 0 x βFig
Page 45 and 46: C2hhtanθ2 21= αxαxβxαxβ( ) (
Page 47 and 48: ⎛⎜ hD⎜⎝6C ⎞1tanθ⎟24µh
Page 49 and 50: at the plate edges. Freeland obtain
Page 51 and 52: For the case of 10 psi of pressure,
Page 53 and 54: are the same as the width of the tr
Page 55 and 56: orientation stages relative to the
Page 57 and 58: Wafer ChuckAir SolenoidMounting Pla
Page 59 and 60: The one degree-of-freedom template
Page 61 and 62: 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: improve upon these results by tunin
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 and 114: is a major milestone. The next step
Page 115 and 116: 7.2.4 Control schemeThe ultimate go
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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