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                3.00 µm
                      2.00 µm
                           1.50 µm
                               Feature size
        1.00 µm                1.00 µm
                                   0.60 µm
                                       0.50 µm
                    0.436 µm
                                         0.40 µm
                                 0.365 µm
                Lithography wavelength
                                         0.35 µm
                                                     0.248 µm
                                              0.25 µm       0.193 µm
                                                 0.18 µm
                                                     0.15 µm   0.11 µm
                                                        0.13 µm
        0.10 µm
              1980    1984    1988     1992    1996    2000     2004
        Figure 9-14 Lithography wavelengths and feature sizes.
          Photolithography began using ultraviolet light with wavelengths too
        short for the human eye to see (<380 nm). Progressively shorter wave-
        lengths provided better resolution, but a host of other problems as well.
        Creating ever-shorter wavelengths is difficult and expensive. Shorter
        wavelengths tend to be absorbed more when passing through lenses.
        Each time the light source is changed, new photoresist chemicals sen-
        sitive to the new wavelength have to be developed. If new light sources
        had to be chosen for every process generation, Moore’s law would be
        forced to dramatically slow down.
          To avoid these problems, modern lithography uses optical proximity
        correction (OPC) and phase-shift masks (PSMs) to take into account
        the wave nature of light and pattern features less than half the wavelength
        of the light being used. Lithography has continued to move to steadily
        shorter wavelengths of light but at a dramatically slower rate than the con-
        tinued reduction of feature sizes. See Fig. 9-14. 2
          Figure 9-15 shows some of the features used in OPC and PSMs. At the
        left is shown a conventional mask where the image of a trench to be
        etched and later filled with metal is copied directly from the layout
        without alteration. When this mask is used in fabrication, the wire pro-
        duced will not be exactly the same shape as on the mask. The ends of
        shapes and exterior corners will tend to be rounded with less material
        than the ideal shape. Interior corners will tend to accumulate extra
        material. Altering the mask to take the manufacturing process into
        account produces a wire closer to the ideal shape.
          The center mask in Fig. 9-15 shows some of the common alterations
        performed by OPC. Hammerhead extensions on the ends of shapes and

          2
           Pati, “Tutorial on Subwavelength Lithography.”
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