Algorithms for DFM in electronic design automation

As the dimension of features in integrated circuits (IC) keeps shrinking to fulfill Moore’s law, the manufacturing process has no choice but confronting the limit of physics at the expense of design flexibility. On the other hand, IC designs inevitably becomes more complex to meet the increasing demand of computational power. To close this gap, design for manufacturing (DFM) becomes the key to enable an easy and low-cost IC fabrication. Therefore, efficient electronic design automation (EDA) algorithms must be developed for DFM to address the design constraints and help the designers to better facilitate the manufacture process. As the core of manufacturing ICs, conventional lithography systems (193i) reach their limit for the 22 nm technology node and beyond. Consequently, several advanced lithography techniques are proposed, such as multiple patterning lithography (MPL), extreme ultra-violet lithography (EUV), electron beam (E-beam), and block copolymer directed self-assembly (DSA); however, DFM algorithms are essential for them to achieve better printability of a design. In this dissertation, we focus on analyzing the compatibility of designs and various advanced lithography techniques, and develop efficient algorithms to enable the manufacturing. We first explore E-Beam, one of the promising candidates for IC fabrication beyond the 10 nm technology node. To address its low throughput issue, the character projection technique has been proposed, and its stencil planning can be optimized with an awareness of overlapping characters. 2D stencil planning is proved NP-Hard. With the assumption of standard cells, the 2D problem can be partitioned into 1D row ordering subproblems; however, it is also considered hard, and no efficient optimal solution has been provided so far. We propose a polynomial time optimal algorithm to solve the 1D row ordering problem, which serves as the major subroutine for the entire stencil planning problem. Technical proofs and experimental results verify that our algorithm is efficient and indeed optimal. As the most popular and practical lithography technique, MPL utilizes multiple exposures to print a single layout and thus allows placement of features within the minimum distance. Therefore, a feasible decomposition of the layout is a must to adopt MPL, and it is usually formulated as a graph k-coloring problem, which is computationally difficult for k > 2. We study the k-colorability of rectangular and diagonal grid graphs as induced subgraphs of a rectangular or diagonal grid respectively, since it has direct applications in printing contact/via layouts. It remains an open question on how hard it is to color grid graphs due to their regularity and sparsity. In this dissertation, we conduct a complete analysis of the k-coloring problems on rectangular and diagonal grid graphs, and particularly the NP-completeness of 3-coloring on a diagonal grid graph is proved. In practice, we propose an exact 3-coloring algorithm for those graphs and conduct experiments to verify its performance and effectiveness. Besides, we also develop an efficient algorithm for model based MPL, because it is more expensive but accurate than the rule based decomposition. As one of the alternative lithography techniques, block copolymer directed self-assembly (DSA) is studied. It has emerged as a low-cost, high- throughput option in the pursuit of alternatives to traditional optical lithography. However, issues of defectivity have hampered DSA’s viability for large-scale patterning. Recent studies have shown the copolymer fill level to be a crucial factor in defectivity, as template overfill can result in malformed DSA structures and poor LCDU after etching. For this reason, the use of sub-DSA resolution assist features (SDRAFs) as a method of evening out template density has been demonstrated. In this dissertation, we propose an algorithm to place SDRAFs in random logic contact/via layouts. By adopting this SDRAF placement scheme, we can significantly improve the density unevenness and the resources used are also optimized. We also apply our knowledge in coloring grid graphs to the problem of group-and-coloring in DSA-MPL hybrid lithography. We derive a solution to group-3-coloring and prove the NP-completeness of grouping-2-coloring

Layout decomposition for triple patterning lithography

Nowadays the semiconductor industry is continuing to advance the limits of physics as the feature size of the chip keeps shrinking. Products of the 22 nm technology node are already available on the market, and there are many ongoing research studies for the 14/10 nm technology nodes and beyond. Due to the physical limitations, the traditional 193 nm immersion lithography is facing huge challenges in fabricating such tiny features. Several types of next-generation lithography techniques have been discussed for years, such as {\em extreme ultra-violet} (EUV) lithography, {\em E-beam direct write}, and {\em block copolymer directed self-assembly} (DSA). However, the source power for EUV is still an unresolved issue. The low throughput of E-beam makes it impractical for massive productions. DSA is still under calibration in research labs and is not ready for massive industrial deployment. Traditionally features are fabricated under single litho exposure. As feature size becomes smaller and smaller, single exposure is no longer adequate in satisfying the quality requirements. {\em Double patterning lithography} (DPL) utilizes two litho exposures to manufacture features on the same layer. Features are assigned to two masks, with each mask going through a separate litho exposure. With one more mask, the effective pitch is doubled, thus greatly enhancing the printing resolution. Therefore, DPL has been widely recognized as a feasible lithography solution in the sub-22 nm technology node. However, as the technology continues to scale down to 14/10 nm and beyond, DPL begins to show its limitations as it introduces a high number of stitches, which increases the manufacturing cost and potentially leads to functional errors of the circuits. {\em Triple pattering lithography} (TPL) uses three masks to print the features on the same layer, which further enhances the printing resolution. It is a natural extension for DPL with three masks available, and it is one of the most promising solutions for the 14/10 nm technology node and beyond. In this thesis, TPL decomposition for standard-cell-based designs is extensively studied. We proposed a polynomial time triple patterning decomposition algorithm which guarantees finding a TPL decomposition if one exists. For complex designs with stitch candidates, our algorithm is able to find a solution with the optimal number of stitches. For standard-cell-based designs, there are additional coloring constraints where the same type of cell should be fabricated following the same pattern. We proposed an algorithm that is guaranteed to find a solution when one exists. The framework of the algorithm is also extended to pattern-based TPL decompositions, where the cost of a decomposition can be minimized given a library of different patterns. The polynomial time TPL algorithm is further optimized in terms of runtime and memory while keeping the solution quality unaffected. We also studied the TPL aware detailed placement problem, where our approach is guaranteed to find a legal detailed placement satisfying TPL coloring constraints as well as minimizing the {\em half-perimeter wire length} (HPWL). Finally, we studied the problem of performance variations due to mask misalignment in {\em multiple patterning decompositions} (MPL). For advanced technology nodes, process variations (mainly mask misalignment) have significant influences on the quality of fabricated circuits, and often lead to unexpected power/timing degenerations. Mask misalignment would complicate the way of simulating timing closure if engineers do not understand the underlying effects of mask misalignment, which only exists in multiple patterning decompositions. We mathematically proved the worst-case scenarios of coupling capacitance incurred by mask misalignment in MPL decompositions. A graph model is proposed which is guaranteed to compute the tight upper bound on the worst-case coupling capacitance of any MPL decompositions for a given layout

Scanning evanescent wave lithography for sub-22nm generations

Current assumptions for the limits of immersion optical lithography include NA values at 1.35, largely based on the lack of high-index materials. In this research we have been working with ultra-high NA evanescent wave lithography (EWL) where the NA of the projection system is allowed to exceed the corresponding acceptance angle of one or more materials of the system. This approach is made possible by frustrating the total internal reflection (TIR) evanescent field into propagation. With photoresist as the frustrating media, the allowable gap for adequate exposure latitude is in the sub-100 nm range. Through static imaging, we have demonstrated the ability to resolve 26 nm half-pitch features at 193 nm and 1.85 NA using existing materials. Such imaging could lead to the attainment of 13 nm half-pitch through double patterning. In addition, a scanning EWL imaging system was designed, prototyped with a two-stage gap control imaging head including a DC noise canceling carrying air-bearing, and a AC noise canceling piezoelectric transducer with real-time closed-loop feedback from gap detection. Various design aspects of the system including gap detection, feedback actuation, prism design and fabrication, software integration, and scanning scheme have been carefully considered to ensure sub-100 nm scanning. Experiments performed showed successful gap gauging at sub-100 nm scanning height. Scanning EWL results using a two-beam interference imaging approach achieved pattern resolution comparable to static EWL imaging results. With this scanning EWL approach and the imaging head developed, optical lithography becomes extendable to sub-22 nm generations

Design automation algorithms for advanced lithography

In circuit manufacturing, as the technology nodes keep shrinking, conventional 193 nm immersion lithography (193i) has reached its printability limit. To continue the scaling with Moore's law, different kinds of advanced lithography have been proposed, such as multiple patterning lithography (MPL), extreme ultraviolet (EUV), electron beam lithography (EBL) and directed self-assembly (DSA). While these new technologies create enormous opportunities, they also pose great design challenges due to their unique process characteristics and stringent constraints. In order to smoothly adopt these advanced lithography technologies in integrated circuit (IC) fabrication, effective electronic design automation (EDA) algorithms must be designed and integrated into computer-aided design (CAD) tools to address the underlying design constraints and help the circuit designer to better facilitate the lithography process. In this thesis, we focus on algorithmic design and efficient implementation of EDA algorithm for advanced lithography, including directed self-assembly (DSA) and self-aligned double patterning (SADP), to conquer the physical challenges and improve the manufacturing yield. The first advanced lithography technology we explore is self-aligned double patterning (SADP). SADP has the significant advantage over traditional litho-etch-litho-etch (LELE) double patterning in its ability to eliminate overlay, making it a preferable DPL choice for the 14 nm technology node. As in any DPL technology, layout decomposition is the key problem. While the layout decomposition problem for LELE DPL has been well studied in the literature, only a few attempts have been made for the SADP layout decomposition problem. This thesis studies the SADP decomposition problem in different scenarios. SADP has been successfully deployed in 1D patterns and has several applications; however, applying it to 2D patterns turns out to be much more difficult. All previous exact algorithms were based on computationally expensive methods such as SAT or ILP. Other previous algorithms were heuristics without a guarantee that an overlay-free solution can be found even if one exists. The SADP decomposition problem on general 2D layout is proven to be NP-complete. However, we show that if we restrict the overlay, the problem is polynomial-time solvable, and present an exact algorithm to determine if a given 2D layout has a no-overlay SADP decomposition. When designing the layout decomposition algorithms, it is usually useful to take the layout structure into consideration. As most of the current IC layouts adopt a row-based standard cell design style, we can take advantage of its characteristics and design more efficient algorithms compared to the algorithms for general 2D patterns. In particular, the fixed widths of standard cells and power tracks on top and bottom of cells suggest that improvements can be made over the algorithms for general decomposition problem. We present a shortest-path based polynomial time SADP decomposition algorithm for row-based standard cell layout that efficiently finds decompositions with minimum overlay violations. Our proposed algorithm takes advantage of the fixed width of the cells and the alternating power tracks between the rows to limit the possible decompositions and thus achieve high efficiency. The next advanced lithography technology we discuss in the thesis is directed self-assembly (DSA). Block copolymer directed self-assembly (DSA) is a promising technique for patterning contact holes and vias in 7 nm technology nodes. To pattern contacts/vias with DSA, guiding templates are usually printed first with conventional lithography (193i) that has a coarser pitch resolution. Contact holes are then patterned with DSA process. The guiding templates play the role of defining the DSA patterns, which have a finer resolution than the templates. As a result, different patterns can be obtained through controlling the templates. It is shown that DSA lithography is very promising in patterning contacts/vias in 7 nm technology node. However, to utilize DSA for full-chip manufacturing, EDA for DSA must be fully explored because EDA is the key enabler for manufacturing, and the EDA research for DSA is still lagging behind. To pattern the contact layer with DSA, we must ensure that all the contacts in the layout require only feasible DSA templates. Nevertheless, the original layout may not be designed in a DSA-friendly way. However, even with an optimized library, infeasible templates may be introduced after the physical design phase. We propose a simulated-annealing (SA) based scheme to perform full-chip level contact layer optimization. According to the experimental results, the DSA conflicts in the contact layer are reduced by close to 90% on average after applying the proposed optimization algorithm. It is a current trend that industry is transiting from the random 2D designs to highly regular 1D gridded designs for sub-20 nm nodes and fabricating circuit designs with print-cut technology. In this process, the randomly distributed cuts may be too dense to be printed by single patterning lithography. DSA has proven its success in contact hole patterning, and can be easily expanded to cut printing for 1D gridded designs. Nevertheless, the irregular distribution of cuts still presents a great challenge for DSA, as the self-assembly process usually forms regular patterns. As a result, the cut layer must be optimized for the DSA process. To address the above problem, we propose an efficient algorithm to optimize cut layers without hurting the original circuit logic. Our work utilizes a technique called `line-end extension' to move the cuts and extend the functional wires without changing the original functionality of the circuit. Consequently, the cuts can be redistributed and grouped into valid DSA templates. Multiple patterning lithography has been widely adopted for today's circuit manufacturing. However, increasing the number of masks will make the manufacturing process more expensive. By incorporating DSA into the multiple patterning process, it is possible to reduce the number of masks and achieve a cost-effective solution. We study the decomposition problem for the contact layer in row-based standard cell layout with DSA-MP complementary lithography. We explore several heuristic-based approaches, and propose an algorithm that decomposes a standard cell row optimally in polynomial-time. Our experiments show that our algorithm is guaranteed to find a minimum cost solution if one exists, while the heuristic cannot or only finds a sub-optimal solution. Our results show that the DSA-MP complementary approach is very promising for the future advanced nodes. As in any lithography technique, the process variation control and proximity correction are the most important issues. As the DSA templates are patterned by conventional lithography, the patterned templates are prone to deviate from mask shapes due to process variations, which will ultimately affect the contacts after the DSA process even for the same type of template. Therefore, in order to enable the DSA technology in contact/via layer printing, it is extremely important to accurately model and detect hotspots, as well as estimate the contact pitch and locations during the verification phase. We propose a machine learning based design automation framework for DSA verification. A novel DSA model and a set of features are included. We implemented the proposed ML-based flow and performed extensive experiments on comparing the performances of learning algorithms and features. The experimental results show that our approach is much more efficient than the traditional approach, and can produce highly accurate results

Lithography aware physical design and layout optimization for manufacturability

textAs technology continues to scale down, semiconductor manufacturing with 193nm lithography is greatly challenging because the required half pitch size is beyond the resolution limit. In order to bridge the gap between design requirements and manufacturing limitations, various resolution enhancement techniques have been proposed to avoid potentially problematic patterns and to improve product yield. In addition, co-optimization between design performance and manufacturability can further provide flexible and significant yield improvement, and it has become necessary for advanced technology nodes. This dissertation presents the methodologies to consider the lithography impact in different design stages to improve layout manufacturability. Double Patterning Lithography (DPL) has been a promising solution for sub-22nm node volume production. Among DPL techniques, self-aligned double patterning (SADP) provides good overlay controllability when two masks are not aligned perfectly. However, SADP process places several limitations on design flexibility and still exists many challenges in physical design stages. Starting from the early design stage, we analyze the standard cell designs and construct a set of SADP-aware cell placement candidates, and show that placement legalization based on this SADP awareness information can effectively resolve DPL conflicts. In the detailed routing stage, we propose a new routing cost formulation based on SADP-compliant routing guidelines, and achieve routing and layout decomposition simultaneously. In the case that limited routing perturbation is allowed, we propose a post-routing flow based on lithography simulation and lithography-aware design rules. Both routing methods, one in detailed routing stage and one in post routing stage, reduce DPL conflicts/violations significantly with negligible wire length impact. In the layout decomposition stage, layout modification is restricted and thus the manufacturability is even harder to guaranteed. By taking the advantage of complementary lithography, we present a new layout decomposition approach with e-beam cutting, which optimizes SADP overlay error and e-beam lithography throughput simultaneously. After the mask layout is defined, optical proximity correction (OPC) is one of the resolution enhancement techniques that is commonly required to compensate the image distortion from the lithography process. We propose an inverse lithography technique to solve the OPC problem considering design target and process window co-optimization. Our mask optimization is pixel based and thus can enable better contour fidelity. In the final physical verification stage, a complex and time-consuming lithography simulation needs to be performed to identify faulty patterns. We provide a classification method based on support vector machine and principle component analysis that detects lithographic hotspots efficiently and accurately.Electrical and Computer Engineerin

Alternative Lithographic Methods for Variable Aspect Ratio Vias

The foundation of semiconductor industry has historically been driven by scaling. Device size reduction is enabled by increased pattern density, enhancing functionality and effectively reducing cost per chip. Aggressive reductions in memory cell size have resulted in systems with diminishing area between parallel bit/word lines. This affords an even greater challenge in the patterning of contact level features that are inherently difficult to resolve because of their relatively small area, a product of their two domain critical dimension image. To accommodate these trends there has been a shift toward the implementation of elliptical contact features. This empowers designers to maximize the use of free space between bit/word lines and gate stacks while preserving contact area; effectively reducing the minor via axis dimension while maintaining a patternable threshold in increasingly dense circuitry. It is therefore critical to provide methods that enhance the resolving capacity of varying aspect ratio vias for implementation in electronic design systems. This work separately investigates two unique, non-traditional lithographic techniques in the integration of an optical vortex mask as well as a polymer assembly system as means to augment ellipticity while facilitating contact feature scaling. This document affords a fundamental overview of imaging theory, details previous literature as to the technological trends enabling the resolving of contact features and demonstrates simulated & empirical evidence that the described methods have great potential to extend the resolution of variable aspect ratio vias using lithographic technologies

Design for Manufacturability in Advanced Lithography Technologies

As the technology nodes keep shrinking following Moore\u27s law, lithography becomes increasingly critical to the fabrication of integrated circuits. The 193nm ArF immersion lithography (193i) has been a common technique for manufacturing integrated circuits. However, the 193i with single exposure has finally reached its printability limit at the 28nm technology node. To keep the pace of Moore\u27s law, design for manufacturability (DFM) is demonstrated to be effective and cost-efficient. The concept of DFM is to modify the design of integrated circuits in order to make them more manufacturable. Tremendous efforts have been made for DFM in advanced lithography technologies. In general, the progress can be summarized in four directions. (1) Advanced lithography process by novel patterning techniques and next-generation lithography; (2) High performance lithography simulation approach in mask synthesis; (3) Physical design (PD) methodology with lithography manufacturability awareness; (4) Robust design flow integrating emerging PD challenges. Accordingly, we propose our research topics in those directions. (1) Throughput optimization for self-aligned double patterning (SADP) and e-beam lithography based manufacturing of 1D layout; (2) Design of efficient rasterization algorithm for mask patterns in inverse lithography technology (ILT); (3) SADP-aware detailed routing; (4) SADP-aware detailed routing with consideration of double via insertion and via manufacturability; (5) Pin accessibility driven detailed placement refinement. In our first research work, we investigate throughput optimization of 1D layout manufacturing. SADP is a mature lithography technique to print 1D gridded layout for advanced technologies. However, in 16nm technology node, trim mask pattern in SADP lithography process may not be printable using 193i along within a single exposure. A viable solution is to complement SADP with e-beam lithography. To order to increase the throughput of 1D layout manufacturing, we consider the problem of e-beam shot minimization subject to bounded line-end extension constraints. Two different approaches of utilizing the trim mask and e-beam to print a 1D layout are considered. The first approach is trimming by end cutting, in which trim mask and e-beam are used to chop up parallel lines at required locations by small fixed rectangles. The second approach is trimming by gap removal, in which trim mask and e-beam are used to rid of all unnecessary portions. We propose elegant integer linear program formulations for both approaches. Experimental results show that both integer linear program formulations can be solved efficiently and have a major speedup compared with previous related work. Furthermore, the pros and cons of the two approaches for manufacturing 1D layout are discussed. In our second research work, we focus on a critical problem of lithography simulation in the design of ILT mask. To reduce the complexity of modern lithography simulation, a widely used approach is to first rasterize the ILT mask before it is inputted to the simulation tool. Accordingly, we propose a high performance rasterization algorithm. The algorithm is based on a pre-computed look-up table. Every pixel in the rasterized image is firstly identified its category: exception or non-exception. Then convolution for every pixel can be performed by a single or multiple look-up table queries depending on its category. In addition, the proposed algorithm has shift invariant property and can be applied for all-angle mask patterns in ILT. Experimental results demonstrate that our approach can speedup conventional rasterization process by almost 500x while maintaining small variations in critical dimension. In our third research work, we concentrate on SADP-aware detailed routing. SADP is a promising manufacturing option for sub-22nm technology nodes due to its good overlay control. To ensure layout is manufacturable by SADP, it is necessary to consider it during layout configuration, e.g., detailed routing stage. However, SADP process is not intuitive in terms of mask design, and considering it during detailed routing stage is even more challenging. We investigate both of two popular types of SADP: spacer-is-dielectric and spacer-is-metal. Different from previous works, we apply the color pre-assignment idea and propose an elegant graph model which captures both routing and SADP manufacturing cost. They greatly simplify the problem to maintain SADP design rules during detailed routing. A negotiated congestion based rip-up and reroute scheme is applied to achieve good routability while maintaining SADP design rules. Our approach can be extended to consider other multiple patterning lithography during detailed routing, e.g., self-aligned quadruple patterning targeted at sub-10nm technology nodes. Compared with state-of-the-art academic SADP-aware detailed routers, we offer routing solution with better quality of result. In our fourth research work, we extend our SADP-aware detailed routing to consider other manufacturing issues. Both SADP and triple patterning lithography (TPL) are potential layout manufacturing techniques in 10nm technology node. While metal layers can be printed by SADP, via layer manufacturing requires TPL. Previous works on SADP-aware detailed routing do not automatically guarantee via layer are manufacturable by TPL. We extend our SADP-aware detailed routing to consider TPL manufacturability of via layer. Double via insertion is an effective method to improve yield and reliability in integrated circuits manufacturing. We also consider it in our SADP-aware detailed routing to further improve insertion rate. A problem of TPL-aware double via insertion in the post routing stage is proposed. It is solved by both integer linear programming and high-performance heuristic. Experimental results demonstrate that our SADP-aware detailed routing can ensure via layer are TPL manufacturable and improve double via insertion rate. In our last research work, we target at the enhancement of pin access. The significant increased number of routing design rules in advanced technologies has made pin access an emerging difficultly in detailed routing. Resolving pin access in detailed routing may be too late due to the fix pin locations. Thus, we consider pin access in earlier design stage, i.e., detailed placement stage, when perturbation of cell placement is allowed. A cost function is proposed to model pin access for each pin-to-pin connection in detailed routing. A two-phase detailed placement refinement is performed to improve pin access, and refinement techniques are limited to cell flipping, same-row adjacent cell swap and cell shifting. The problem is solved by dynamic programming and linear programming. Experimental results demonstrate that the proposed detailed placement refinement improve pin access and reduce the number of unroutable nets in detailed routing significantly

Reduction of Line Edge Roughness (LER) in Interference-Like Large Field Lithography

Line edge roughness (LER) is seen as one of the most crucial challenges to be addressed in advanced technology nodes. In order to alleviate it, several options were explored in this work for the interference-like lithography imaging conditions. The most straight forward option was to scale interference lithography (IL) for large field integrated circuit (IC) applications. IL not only serves as a simple method to create high resolution period patterns, but, it also provides the highest theoretical contrast achievable compared to other optical lithography systems. Higher contrast yields a smaller transition region between the low and high intensity parts of the image, therefore, inherently lowers LER. Two of the challenges that would prohibit scaling IL for large field IC applications were addressed in this work: (1) field size limitations, and (2) magnification correction (i.e., pitch fine-tuning) ability. Experimental results showed less than 0.5 nm pitch adjustment capability using fused silica wedges mounted on rotational stages at 300 nm pitch pattern. A detailed discussion on maximum practical IL field size was outlined by considering the subsequent trim exposures and optical path difference effects between the interfering diffraction orders. The practical limit on the IL field size was assessed to be 10 mm for the conditions specified in this work. One of the contributors of LER is the mask absorber roughness. To mitigate it, two methods were explored that are also applicable to scanners working under interference-like conditions: (1) aerial image averaging via directional translation, and (2) pupil plane filtering. Experiments on pupil plane filtering approach were performed at Imec in Leuven, Belgium, on the ASML:NXT1950i scanner equipped with FlexWAVE wavefront manipulator. Utilizing an optimized phase filter at the pupil plane and a programmed roughness mask, the transfer of 200 nm roughness period to the wafer plane was eliminated. This mitigation effect was found to be strongly dependent on the focus

Patternable materials for next-generation lithography

One of the salient truths facing the microelectronics industry today is that photolithography tools are unable to meet the resolution requirements for manufacturing next-generation devices. In the past, circuit feature sizes have been minimized by reducing the exposure wavelength used for patterning. However, this strategy failed with the worldwide dereliction of 157 nm lithography in 2003. Extreme ultraviolet (EUV) lithography still faces many technical challenges and is not ready for high volume manufacturing. How will the microelectronics industry continue to innovate without regular advances in photopatterning technology? Regardless of which paradigm is adopted, new materials will probably be required to meet the specific challenges of scaling down feature sizes and satisfying the economic ultimatum of Moore’s Law. In the search for higher resolution patterning tools, device manufacturers have identified block copolymer (BCP) lithography as a possible technique for next-generation nanofabrication. BCP self-assembly offers access to sub-5 nm features in thin films, well beyond the resolution limits of photolithography. However, BCP materials must be carefully designed, synthesized, and processed to create lithographically interesting features with good etch resistance for pattern transfer. In this dissertation, we describe a pattern transfer process for 5 nm BCP lamellae and a directed self-assembly (DSA) process for aligning 5 nm structures in thin films. To achieve defect-free alignment, the interfacial interactions between the BCP and pre-patterned substrate must be precisely controlled. We also discuss a new process for selectively modifying oxidized chromium films using polymer brushes, which could further improve the aforesaid DSA process. To facilitate better pattern transfer of BCP structures, several new BCPs with “self-developing” blocks were synthesized and tested. These materials depolymerize and evaporate in strongly acidic environments, leading to developed BCP features without the need for etching or solvent. “Self-developing” polymers may also be useful materials for traditional photolithography. Chemically amplified resists used in manufacturing today are fundamentally limited by a trade-off between sensitivity and pattern quality. To overcome this problem, we present a new type of photoresist that relies on depolymerization, rather than catalysis, to achieve amplification without producing significant roughness or bias in the final patternChemical Engineerin

An Investigation of Interference Lithography Applications using Evanescent Fields

Since the dawn of large scale integrated circuitry photolithography has been the primary means of pattern production. Over the following 60 years the size of these patterns has shrunk massively, along with the consequent increase in the complexity of the photolithography process. The demand for smaller, more powerful, and more energy efficient computational devices requires further shrinking of the patterns. The development of processes for further pattern size reduction however is not a simple one, thus a great deal of research and investments has been focused towards it. The research within this thesis is aimed at discovering new methods and techniques for photolithography pattern reduction by exploiting fields in an interference lithography setting. Previously it was shown that dielectric resonant underlayers could be employed to enhance the depth of field for evanescent interference lithography. This however is limited by the availability of transparent high refractive index dielectric layers. To extend this to higher effective refractive indices an investigation into applying Herpin effective media within resonant underlayers was carried out. These underlayers were shown to be effective for combinations which have propagating fields within at least one layer; for combinations where all layers were evanescent however, the method broke down. Investigations into generic resonant underlayers also led to the development of a resonant overlayer method for increasing the evanescent field strength within a PR layer while allowing thicker and/or lower refractive index IMLs. Further to this a new form of BARC for hyper-NA photolithography termed an evanescent-coupled ARC was developed. These ARCs rely on evanescently-coupled dielectric or surface state polariton resonators to produce destructive interference within the PR. The properties and design constraints for each of these systems was explored and two experimental designs developed. Experiment verification of evanescent-coupled ARCs was successfully demonstrated for a SiO2jHfO2 dielectric resonator based ARC. Demonstration of a MgF2jCr surface state polariton resonator based ARC was partially demonstrated with resonance within the underlayer and the consequent alteration of the PR standing wave pattern observed. The use of prism coupling for interference lithography is limited by the maximum refractive index of the coupling prism; above this refractive index all fields are evanescent and no energy will coupled into the PR. To overcome this limit grating coupled evanescent near-field interference lithography methods are employed. The higher order diffraction orders from the grating can have NAs far greater than the refractive index of naturally occurring materials, thus patterning with these diffraction orders produces far smaller interference pitches than prism coupled systems are capable of. Grating coupled systems involve the use of evanescent fields, plasmonic resonances,as well as coupled resonators all within subwavelength scales, consequently simulation and optimization of these systems is very computationally intensive. To improve this a genetic algorithm process was applied to reduce the computational time for optimization, and to allow the use of an inverse design process. Application of this method produced an order of magnitude improvement in optimization time compared to a full parameter sweep. Models including resonant overlayers, overlayers and underlayers, as well as those employing extremely high NAs and/or higher |m| diffraction orders were produced. Simulations showed that extremely high NAs up to 20 may theoretically be used for patterning of structures with a pitch of lambda/40 equating to a full pitch of 10.1 nm with an exposing wavelength of 405 nm