Investigating SEM metrology effects using a detailed SEM simulation and stochastic resist model

A Monte Carlo electron scattering simulation tool that can create SEM images of 3D features with arbitrary geometry has been developed. This is combined with both a stochastic resist model and synthetic 3D features to probe the effect of the effect of roughness on SEM measurements. Sidewall roughness makes it difficult to precisely identify the true feature width of a line because the roughness increases the SEM signal non-proportionally to the amount of material with which it is interacting. LER generally under predicts sidewall surface roughness because the SEM has an averaging effect as the electron beam interacts with a volume of material. LER becomes a better measure of surface roughness as the correlation length of the surface roughness increases. Decreasing film thickness causes a decrease in the linewidth and increase in LER measured by SEM, especially for features 35 nm thick and below. This occurs even if the true 3D feature width and roughness is approximately constant, meaning that the apparent change in linewidth and LER is a metrology effect. Threshold based estimations of line edges are difficult because the threshold choice that best matches the true feature width changes with the feature geometry. Model based library fits of linescans do not appear to provide a solution because sidewall roughness and sidewall angle have similar effects on the linescan meaning no unique linescan likely exists.

[1]  Clifford L. Henderson,et al.  Three-dimensional mesoscale model for the simulation of LER in photoresists , 2010, Advanced Lithography.

[2]  Clifford L. Henderson,et al.  Influence of film thickness, molecular weight, and substrate on the physical properties of photoresist polymer thin films , 2003, SPIE Advanced Lithography.

[3]  Manish Chandhok,et al.  EUV lithography for 30nm half pitch and beyond: exploring resolution, sensitivity, and LWR tradeoffs , 2009, Advanced Lithography.

[4]  Atsuko Yamaguchi,et al.  Metrology of LER: influence of line-edge roughness (LER) on transistor performance , 2004, SPIE Advanced Lithography.

[5]  Leonard J. Brillson,et al.  Electron energy loss spectroscopy and the optical properties of polymethylmethacrylate from 1 to 300 eV , 1978 .

[6]  S. J. Pearton,et al.  Reduction of sidewall roughness during dry etching of SiO2 , 1992 .

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

[8]  J. Foucher,et al.  CD-AFM versus CD-SEM for resist LER and LWR measurements , 2006, SPIE Advanced Lithography.

[9]  John S. Villarrubia,et al.  Sensitivity of scanning electron microscope width measurements to model assumptions , 2009 .

[10]  R. Gauvin,et al.  CASINO: A new monte carlo code in C language for electron beam interaction —part I: Description of the program , 2006 .

[11]  B. L. Henke,et al.  X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92 , 1993 .

[12]  R. J. Kline,et al.  Scanning electron microscope measurement of width and shape of 10nm patterned lines using a JMONSEL-modeled library. , 2015, Ultramicroscopy.

[13]  Clifford L. Henderson,et al.  Thin film buckling as a method to explore the effect of reactive rinse treatments on the mechanical properties of resist thin films , 2010, Advanced Lithography.

[14]  John S. Villarrubia,et al.  Dimensional metrology of resist lines using a SEM model-based library approach , 2004, SPIE Advanced Lithography.

[15]  Alessandro Vaglio Pret,et al.  Investigation of interactions between metrology and lithography with a CD SEM simulator , 2014, Advanced Lithography.

[16]  Clifford L. Henderson,et al.  Mesoscale kinetic Monte Carlo simulations of molecular resists: effects of photoacid homogeneity on resolution, line-edge roughness, and sensitivity , 2010 .

[17]  A. Neureuther,et al.  Energy deposition and transfer in electron-beam lithography , 2001 .

[18]  Clifford L. Henderson,et al.  Negative-tone molecular resists based on cationic polymerization , 2009, Advanced Lithography.

[19]  R. Gauvin,et al.  CASINO: A new monte carlo code in C language for electron beam interactions—part II: Tabulated values of the mott cross section , 1997 .

[20]  D. Gillespie Exact Stochastic Simulation of Coupled Chemical Reactions , 1977 .

[21]  Understanding the relationship between true and measured resist feature critical dimension and line edge roughness using a detailed scanning electron microscopy simulator , 2010 .

[22]  Mark P. Davidson,et al.  Investigation of the effects of charging in SEM-based CD metrology , 1997, Advanced Lithography.

[23]  Patrick P. Naulleau,et al.  Deprotection blur in extreme ultraviolet photoresists: Influence of base loading and post-exposure bake temperature , 2009 .

[24]  Richard A. Lawson,et al.  Mesoscale simulation of molecular resists: The effect of PAG distribution homogeneity on LER , 2009 .

[25]  Clifford L. Henderson,et al.  Effect of nanoscale confinement on the diffusion behavior of photoresist polymer thin films , 2004, SPIE Advanced Lithography.

[26]  Z. J. Ding,et al.  A Monte Carlo modeling of electron interaction with solids including cascade secondary electron production , 2006 .

[27]  J. C. Ashley Energy loss rate and inelastic mean free path of low-energy electrons and positrons in condensed matter , 1990 .

[28]  Cornelis W. Hagen,et al.  Determination of line edge roughness in low-dose top-down scanning electron microscopy images , 2014 .

[29]  Evangelos Gogolides,et al.  Line edge roughness transfer during plasma etching: modeling approaches and comparison with experimental results , 2009, Advanced Lithography.

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

[31]  Carsten Hartig,et al.  Time-dependent electron-beam-induced photoresist shrinkage effects , 2012 .

[32]  Z. Ding,et al.  Monte Carlo simulation study of scanning electron microscopy images of rough surfaces , 2008 .

[33]  J. Villarrubia,et al.  Simulation study of repeatability and bias in the critical dimension scanning electron microscope , 2005 .

[34]  C. Mack Generating random rough edges, surfaces, and volumes. , 2013, Applied optics.

[35]  D. R. Penn,et al.  Electron mean-free-path calculations using a model dielectric function. , 1987, Physical review. B, Condensed matter.

[36]  David C. Joy,et al.  Calculations of Mott scattering cross section , 1990 .

[37]  R. Pease,et al.  Empirical forms for the electron/atom elastic scattering cross sections from 0 , 1994 .

[38]  Chris A. Mack,et al.  Mesoscale modeling: a study of particle generation and line-edge roughness , 2014 .