Optical proximity correction (OPC) is a photolithography enhancement technique commonly used to compensate for image errors due to diffraction or process effects. The need for OPC is seen mainly in the making of semiconductor devices and is due to the limitations of light to maintain the edge placement integrity of the original design, after processing, into the etched image on the silicon wafer. These projected images appear with irregularities such as line widths that are narrower or wider than designed, these are amenable to compensation by changing the pattern on the photomask used for imaging. Other distortions such as rounded corners are driven by the resolution of the optical imaging tool and are harder to compensate for. Such distortions, if not corrected for, may significantly alter the electrical properties of what was being fabricated. Optical proximity correction corrects these errors by moving edges or adding extra polygons to the pattern written on the photomask. This may be driven by pre-computed look-up tables based on width and spacing between features (known as rule based OPC) or by using compact models to dynamically simulate the final pattern and thereby drive the movement of edges, typically broken into sections, to find the best solution, (this is known as model based OPC). The objective is to reproduce the original layout drawn by the designer on the semiconductor wafer as well as possible.
The two most visible benefits of OPC are correcting linewidth differences seen between features in regions of different density (e.g., center vs. edge of an array, or nested vs. isolated lines), and line end shortening (e.g., gate overlap on field oxide). For the former case, this may be used together with resolution enhancement technologies such as scattering bars (sub-resolution lines placed adjacent to resolvable lines) together with linewidth adjustments. For the latter case, "dog-ear" (serif or hammerhead) features may be generated at the line end in the design. OPC has a cost impact on photomask fabrication whereby the mask write time is related to the complexity of the mask and data-files and similarly mask inspection for defects takes longer as the finer edge control requires a smaller spot size.
The conventional diffraction-limited resolution is given by the Rayleigh criterion as
0.61λ/NA,
NA
λ
k1,
k1λ/NA.
k1<1
The degree of coherence of the illumination source is determined by the ratio of its angular extent to the numerical aperture. This ratio is often called the partial coherence factor, or
\sigma
0.5λ/(\sigmaNA).
\sigma
A related point is that the use of OPC does not change the illumination requirement. If off-axis illumination is required, OPC cannot be used to switch to on-axis illumination, because for on-axis illumination, imaging information is scattered outside the final aperture when off-axis illumination is needed, preventing any imaging.
Aberrations in optical projection systems deform wavefronts, or the spectrum or spread of illumination angles, which can affect the depth of focus. While the use of OPC can offer significant benefits to depth of focus, aberrations can more than offset these benefits.[3] Good depth of focus requires diffracted light traveling at comparable angles with the optical axis, and this requires the appropriate illumination angle.[4] Assuming the correct illumination angle, OPC can direct more diffracted light along the right angles for a given pitch, but without the correct illumination angle, such angles will not even arise.
As the
k1
In contrast to multiple exposure of the same photoresist film, multiple layer patterning entails repeated photoresist coating, deposition, and etching to pattern the same device layer. This gives an opportunity to use looser design rules to pattern the same layer. Depending on the lithography tool used to image at these looser design rules, the OPC will be different. Multiple-etch patterning may become a popular technique for future technology generations. A specific form of multiple-etch patterning, using sidewall sacrificial features, is currently the only demonstrated way of systematically patterning features less than 10 nm.[6] The minimum half-pitch corresponds to the deposited thickness of the sacrificial feature.
Today, OPC is rarely practiced without the use of commercial packages from electronic design automation (EDA) vendors. Advances in algorithms, modeling techniques and the use of large compute farms has enabled the most critical patterning layers to be corrected overnight, starting from the 130 nm design rules (when model based OPC was first used) [7] down to the most advanced design rules. The number of layers requiring sophisticated OPC has increased with advanced nodes, as previously non-critical layers now require compensation.
The use of OPC is not restricted to the low
k1
Subresolution assist features (SRAFs) are features which are separated from targeted features but assist in their printing, while not being printed themselves. Printing SRAFs are a critical yield detractor and require additional OPC models to determine and remove SRAFs where undesirable printing may occur.[8] SRAFs have more pronounced effects on the diffraction spectrum than targeted feature resizing and/or attachments. The requirement to not print constrains their use with low doses only. This could pose issues with stochastic effects.[9] Hence their main application is to improve depth of focus for isolated features (dense features do not leave enough room for SRAF placement). Since SRAFs redistribute energy toward higher spatial frequencies or diffraction orders, the depth of focus is more dependent on the illumination angle (center of spectrum of spatial frequencies or diffraction orders) as well as the pitch (separation of spatial frequences or diffraction orders). In particular, different SRAFs (position, shape, size) could result in different illumination specifications.[10] [11] In fact, certain pitches forbid the use of SRAFs for specific illumination angles.[12] Since the pitch is usually predetermined, some illumination angles must be avoided even with the use of SRAF OPC. Generally, though, SRAFs cannot be a complete solution, and can only approach the dense case, not match it.[13]