Using advanced simulation to aid microlithography development

An early historical overview is first presented here on the use of simulation in optical microlithography, along with a description of the general physical models. This paper then turns to more recent development work in microlithography simulation, which has followed several very different tracts. Three of the most important areas are discussed here. The first involves improvements in the underlying physical models, such as advances beyond the Kirchhoff boundary condition in optical diffraction theory, as well as a deeper understanding into the chemistry and physical behavior of photoresist materials. Such work guides basic understanding both in the optics and photoresist areas. At the other extreme, phenomenological models are being advanced to enable simulation results on large scales to be placed in the hands of device and circuit designers. Finally, optimization of the large number of allowable parameters is a pervasive problem that has received much attention and interest by the engineering community.

[1]  Joseph G. Garofalo,et al.  Applications of enhanced optical proximity correction models , 1998, Advanced Lithography.

[2]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[3]  C. P. Kirk,et al.  Optical microscope imaging of lines patterned in thick layers with variable edge geometry: theory , 1988 .

[4]  C. G. Willson,et al.  Introduction to microlithography , 1994 .

[5]  Andrew R. Neureuther,et al.  Rigorous three-dimensional time-domain finite-difference electromagnetic simulation , 1995 .

[6]  Paul Isaac Hagouel,et al.  X-ray lithographic fabrication of blazed diffraction gratings , 1976 .

[7]  Teruo Matsuzawa,et al.  Two-Dimensional Simulation of Photolithography on Reflective Stepped Substrate , 1987, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[8]  Eytan Barouch,et al.  OPTIMASK: an OPC algorithm for chrome and phase-shift mask design , 1995, Advanced Lithography.

[9]  Eytan Barouch,et al.  Comprehensive 3-D notching simulator with nonplanar substrates , 1990, Advanced Lithography.

[10]  D. Nyyssonen Theory of optical edge detection and imaging of thick layers , 1982 .

[11]  Daniel C. Cole,et al.  Optimization criteria for SRAM design: lithography contribution , 1999, Advanced Lithography.

[12]  E. H. Linfoot Principles of Optics , 1961 .

[13]  Eytan Barouch,et al.  Three-dimensional nonplanar lithography simulation using a periodic fast multipole method , 1997, Advanced Lithography.

[14]  Eytan Barouch,et al.  Resist development described by least action principle‐line profile prediction , 1988 .

[15]  Gordon E. Moore,et al.  Progress in digital integrated electronics , 1975 .

[16]  P. S. Hauge,et al.  Characterization of positive photoresist , 1975, IEEE Transactions on Electron Devices.

[17]  M. Levenson,et al.  Improving resolution in photolithography with a phase-shifting mask , 1982, IEEE Transactions on Electron Devices.

[18]  G.E. Moore,et al.  Cramming More Components Onto Integrated Circuits , 1998, Proceedings of the IEEE.

[19]  M. Peckerar,et al.  Modeling process latitude in UV projection lithography , 1991, IEEE Electron Device Letters.

[20]  Xiaolei Li,et al.  Metropole-3D: a rigorous 3D topography simulator , 1998, Advanced Lithography.

[21]  John H. Bruning 0ptical lithography--thirty years and three orders of magnitude: the evolution of optical lithography tools , 1997, Advanced Lithography.

[22]  Andrew R. Neureuther,et al.  Characterization and modeling of materials for photolithographic simulation , 1990 .

[23]  Gordon E. Moore,et al.  Lithography and the future of Moore's law , 2006, Advanced Lithography.

[24]  Luigi Capodieci,et al.  Characterizing acid mobility in chemically amplified resists via spectroscopic methods , 1999, Advanced Lithography.

[25]  Hiroyoshi Tanabe,et al.  Modeling of optical images in resists by vector potentials , 1992, Advanced Lithography.

[26]  Jack A. Mandelman,et al.  The use of simulation in semiconductor technology development , 1990 .

[27]  J. Goodman Introduction to Fourier optics , 1969 .

[28]  J. Goodman Statistical Optics , 1985 .

[29]  T D Milster,et al.  High-numerical-aperture effects in photoresist. , 1997, Applied optics.

[30]  Eytan Barouch,et al.  Vector aerial image with off-axis illumination , 1993, Advanced Lithography.

[31]  F. Dill,et al.  In-situ measurement of dielectric thickness during etching or developing processes , 1975, IEEE Transactions on Electron Devices.

[32]  John Joseph Helmsen,et al.  A comparison of three dimensional photolithography simulators , 1995 .

[33]  Frank Wyrowski,et al.  Integral equation method with parametrization of grating profile theory and experiments , 1996 .

[34]  A. Neureuther,et al.  A general simulator for VLSI lithography and etching processes: Part I—Application to projection lithography , 1979, IEEE Transactions on Electron Devices.

[35]  Daniel C. Cole,et al.  Cross-Term Conservation Relationships for Electromagnetic Energy, Linear Momentum, and Angular Momentum , 1999 .

[36]  Geert Vandenberghe,et al.  Bottom-ARC optimization methodology for 0.25-μm lithography and beyond , 1998, Advanced Lithography.

[37]  Alexander Starikov Use Of A Single Size Square Serif For Variable Print Bias Compensation In Microlithography: Method, Design, And Practice , 1989, Advanced Lithography.

[38]  Ruey-Beei Wu,et al.  Hybrid finite-difference time-domain modeling of curved surfaces using tetrahedral edge elements , 1997 .

[39]  Robert J. Monteverde,et al.  Numerical simulation of thick-linewidth measurements by reflected light , 1991, Other Conferences.

[40]  Burn Jeng Lin,et al.  THE ATTENUATED PHASE-SHIFTING MASK , 1992 .

[41]  Eytan Barouch,et al.  Illuminator optimization for projection printing , 1999, Advanced Lithography.

[42]  Michael S. Yeung Application of the hybrid FDTD–FETD method to dispersive materials , 1999 .

[43]  Timothy A. Brunner,et al.  Approximate models for resist processing effects , 1996, Advanced Lithography.

[44]  Burn Jeng Lin Phase-shifting and other challenges in optical mask technology , 1991, Other Conferences.

[45]  John H. Bruning Optical lithography--thirty years and three orders of magnitude: the evolution of optical lithography tools , 1997, Advanced Lithography.

[46]  Lewis W. Flanagin,et al.  Molecular model of phenolic polymer dissolution in photolithography , 1999 .

[47]  Masaaki Tanaka,et al.  Photolithography System Using Modified Illumination , 1993 .

[48]  C.-M. Yuan,et al.  Efficient light scattering modeling for alignment, metrology, and resist exposure in photolithography , 1992 .

[49]  E. J. Walker,et al.  Reduction of photoresist standing-wave effects by post-exposure bake , 1975, IEEE Transactions on Electron Devices.

[50]  A. Neureuther,et al.  Modeling projection printing of positive photoresists , 1975, IEEE Transactions on Electron Devices.

[51]  Avideh Zakhor,et al.  Experimental results on optical proximity correction with variable-threshold resist model , 1997, Advanced Lithography.

[52]  S. Wolf,et al.  Silicon Processing for the VLSI Era , 1986 .

[53]  Michael S. Yeung Photolithography simulation on nonplanar substrates , 1990, Advanced Lithography.

[54]  Daniel C. Cole,et al.  Using multiple focal planes to enhance depth of focus , 1992, Advanced Lithography.

[55]  Chris A. Mack Inside Prolith-A Comprehensive Guide to Optical Lithography Simulation , 1997 .

[56]  Chang-Moon Lim,et al.  Practical methodology of optical proximity correction in subquarter-micron lithography , 1999, Advanced Lithography.

[57]  Chris A. Mack PROLITH: A Comprehensive Optical Lithography Model , 1985, Advanced Lithography.

[58]  Andrew R. Neureuther,et al.  Line‐Profile resist development simulation techniques , 1977 .

[59]  Ki-Ho Baik,et al.  Novel approximate model for resist process , 1998, Advanced Lithography.

[60]  H. P. Urbach,et al.  Modeling latent image formation in photolithography using the Helmholtz equation , 1990, Advanced Lithography.

[61]  J. Sethian,et al.  A level set approach to a unified model for etching, deposition, and lithography II: three-dimensional simulations , 1995 .

[62]  Qi-De Qian,et al.  Laser alignment modeling using rigorous numerical simulations , 1991, Other Conferences.

[63]  E. Wolf,et al.  Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system , 1959, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[64]  James A. Sethian,et al.  A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography I: Algorithms and T , 1995 .

[65]  Avideh Zakhor,et al.  Mathematical and CAD framework for proximity correction , 1996, Advanced Lithography.

[66]  Andrew R. Neureuther,et al.  Algorithms for simulation of three-dimensional etching , 1994, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[67]  Andrew R. Neureuther,et al.  Algorithms for three-dimensional simulation of photoresist development , 1990 .

[68]  Burn Jeng Lin Off-axis illumination--working principles and comparison with alternating phase-shifting masks , 1993, Advanced Lithography.

[69]  B. Lin The optimum numerical aperture for attenuated phase-shifting masks , 1992 .

[70]  W. Harth,et al.  Low-frequency open-circuit noise voltage of GaAs pin-avalanche transit-time diodes , 1992 .

[71]  Roberto Guerrieri,et al.  Massively parallel algorithms for scattering in optical lithography , 1991, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[72]  Sheila Vaidya,et al.  Reduction of ASIC gate-level line-end shortening by mask compensation , 1995, Advanced Lithography.

[73]  Gordon E. Moore,et al.  Lithography and the future of Moore's law , 1995, Advanced Lithography.

[74]  Michael S. Yeung,et al.  Modeling High Numerical Aperture Optical Lithography , 1988, Advanced Lithography.

[75]  H. P. Urbach,et al.  Thin-film interference effects in photolithography for finite numerical apertures , 1991 .

[76]  Valery Axelrad,et al.  Efficient computational techniques for aerial imaging simulation , 1996, Advanced Lithography.

[77]  Eytan Barouch,et al.  Achieving sub-half-micron i-line manufacturability through automated OPC , 1997, Advanced Lithography.

[78]  S. Campbell The Science and Engineering of Microelectronic Fabrication , 2001 .

[79]  Ross C. McPhedran,et al.  Theory of Crossed Gratings , 1980 .

[80]  E. Barouch,et al.  Limitation of the Kirchhoff boundary conditions for aerial image simulation in 157-nm optical lithography , 2000, IEEE Electron Device Letters.

[81]  Alfred Kwok Kit Wong,et al.  Massively parallel electromagnetic simulation for photolithographic applications , 1995, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[82]  A. Rosenbluth,et al.  A critical examination of submicron optical lithography using simulated projection images , 1983 .

[83]  Steven A. Orszag,et al.  Numerical simulation of submicron photolithographic processing , 1991 .

[84]  O. Heavens Handbook of Optical Constants of Solids II , 1992 .

[85]  Lars W. Liebmann,et al.  Pattern-dependent correction of mask topography effects for alternating phase-shifting masks , 1995, Advanced Lithography.

[86]  Steven A. Orszag,et al.  Derivation and Simulation of Higher Numerical Aperture Scalar Aerial Images , 1992 .

[87]  Lynn Fuller,et al.  Comparison of scalar and vector diffraction modeling for deep-UV lithography , 1993, Advanced Lithography.

[88]  Eytan Barouch,et al.  Model considerations, calibration issues, and metrology methods for resist-bias models , 1999, Advanced Lithography.

[89]  Peter Young,et al.  Full-depth optical proximity correction (FD-OPC) based on E-D forest , 1999, Advanced Lithography.

[90]  E. Palik Handbook of Optical Constants of Solids , 1997 .

[91]  Douglas A. Bernard,et al.  Model-based optical proximity correction including effects of photoresist processes , 1997, Advanced Lithography.

[92]  E. Wolf,et al.  Electromagnetic diffraction in optical systems - I. An integral representation of the image field , 1959, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[93]  Chiakang Sung,et al.  A general simulator for VLSI lithography and etching processes: Part II—Application to deposition and etching , 1980, IEEE Transactions on Electron Devices.

[94]  Soichi Inoue,et al.  Practical topography design for alternating phase-shifting mask , 1996, Advanced Lithography.

[95]  E. Barouch,et al.  Three Dimensional Profile Simulation For Positive Photoresists , 1989, Advanced Lithography.

[96]  Charles R. Szmanda,et al.  Simulations of bar printing over a MOSFET device using i-line and deep-UV resists , 1991, Other Conferences.

[97]  F. Dill Optical lithography , 1975, IEEE Transactions on Electron Devices.

[98]  Eytan Barouch,et al.  Process latitudes in projection printing , 1991, Other Conferences.

[99]  Thomas Kailath,et al.  Phase-shifting masks for microlithography: automated design and mask requirements , 1994 .

[100]  D. K. Vaughan,et al.  Calculation Of Light Scatter From Structures On Silicon Surfaces , 1987, Advanced Lithography.

[101]  H. Hopkins On the diffraction theory of optical images , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[102]  Eytan Barouch,et al.  Optimization of stepper parameters and their influence on OPC , 1996, Advanced Lithography.

[103]  Yuri Granik,et al.  Sub-half-micron contact window design with 3D photolithography simulator , 1997, Advanced Lithography.