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approaches 0.5 in the theoretical limit <strong>of</strong> diffraction. Increasing the NA has an<br />

adverse effect on the depth <strong>of</strong> focus (DOF), which describes the aerial image blur<br />

through the thickness <strong>of</strong> the resist: 5<br />

Equ<strong>at</strong>ion 1.2<br />

DOF = k<br />

2<br />

( ) 2<br />

NA<br />

where k2 is again a system-dependent parameter. <strong>The</strong>re is a balance between<br />

increasing NA in order to achieve better resolution, and decreasing NA in order to<br />

achieve larger DOF. Many <strong>of</strong> the significant advances in resolution have come as a<br />

result <strong>of</strong> using shorter exposure wavelengths.<br />

7<br />

λ<br />

<strong>The</strong>se resolution improvements, along with the use <strong>of</strong> different wavelengths,<br />

require new light sources, new resist m<strong>at</strong>erials, new lens m<strong>at</strong>erials and systems, and<br />

improvements in machine tolerances, among others. <strong>The</strong>se improvements come <strong>at</strong> a<br />

cost, as can be seen in Figure 1.4, which shows the exponentially increasing cost <strong>of</strong><br />

photolithography tools over time. <strong>The</strong> next gener<strong>at</strong>ion lithography (NGL)<br />

technologies th<strong>at</strong> are currently expected to allow further resolution improvements<br />

may in fact depart upwards from this trend, resulting in an even gre<strong>at</strong>er tool cost.

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