Fabrication error analysis for diffractive optical elements used in a lithography illumination system

Abstract. With the constant shrinking of printable critical dimensions in photolithography, off-axis illumination (OAI) becomes one of the effective resolution-enhancement methods facing these challenges. This, in turn, is driving much more strict requirements, such as higher diffractive efficiency of the diffractive optical elements (DOEs) used in the OAI system. Since the design algorithms to optimize DOEs’ phase profile are improved, the fabrication process becomes the main limiting factor leading to energy loss. Tolerance analysis is the general method to evaluate the fabrication accuracy requirement, which is especially useful for highly specialized deep UV applications with small structures and tight tolerances. A subpixel DOE simulation model is applied for tolerance analysis of DOEs by converting the abstractive fabrication structure errors into quantifiable subpixel phase matrices. Adopting the proposed model, four kinds of fabrication errors including misetch, misalignment, feature size error, and feature rounding error are able to be investigated. In the simulation experiments, systematic fabrication error studies of five typical DOEs used in 90-nm scanning photolithography illumination system are carried out. These results are valuable in the range of high precision DOE design algorithm and fabrication process optimization.

[1]  M R Taghizadeh,et al.  Multilevel-grating array generators: fabrication error analysis and experiments. , 1993, Applied optics.

[2]  D. W. K. Wong,et al.  Method of reduction of zeroth order intensity in computer generated holograms by use of phase addition technique , 2007, SPIE OPTO.

[3]  O. Bryngdahl,et al.  Iterative Fourier-transform algorithm applied to computer holography , 1988 .

[4]  Ernst-Bernhard Kley,et al.  Design and fabrication of a highly off-axis binary multi-phase-level computer-generated hologram based on an effective medium approach , 2011, MOEMS-MEMS.

[5]  Mohammad R. Taghizadeh,et al.  Diffractive elements for high-power fibre coupling applications , 2003 .

[6]  Jinsong Liu Design and fabrication of diffractive optical elements , 2004 .

[7]  Han Xing,et al.  Off-axis illumination of lithography tool , 2013, Other Conferences.

[8]  Rick L. Morrison,et al.  Symmetries that simplify the design of spot array phase gratings , 1992 .

[9]  Adam J Caley,et al.  Analysis of multimask fabrication errors for diffractive optical elements. , 2007, Applied optics.

[10]  Frank Wyrowski,et al.  Theory of speckles in diffractive optics and its application to beam shaping , 1996 .

[11]  Jörgen Bengtsson,et al.  Fan-out diffractive optical elements designed for increased fabrication tolerances to linear relief depth errors. , 2002, Applied optics.

[12]  Hans Peter Herzig,et al.  Diffractive elements designed to suppress unwanted zeroth order due to surface depth error , 2004 .

[13]  Andrew J. Waddie,et al.  Investigating fabrication errors for diffractive optical elements , 2006, SPIE Photonics Europe.

[14]  M R Taghizadeh,et al.  Binary surface-relief gratings for array illumination in digital optics. , 1992, Applied optics.

[15]  M T Gale,et al.  Analysis and optimization of fabrication of continuous-relief diffractive optical elements. , 1998, Applied optics.

[16]  Christopher W. Slinger,et al.  Recent developments in computer-generated holography: toward a practical electroholography system for interactive 3D visualization , 2004, IS&T/SPIE Electronic Imaging.