Electromagnetic field modeling for defect detection in 7 nm node patterned wafers

By 2017, the critical dimension in patterned wafers will shrink down to 7 nm, which brings great challenges to optics-based defect inspection techniques, due to the ever-decreasing signal to noise ratio with respect to defect size. To continue pushing forward the optics-based metrology technique, it is of great importance to analyze the full characteristics of the scattering field of a wafer with a defect and then to find the most sensitive signal type. In this article, the vector boundary element method is firstly introduced to calculate the scattering field of a patterned wafer at a specific objective plane, after which a vector imaging theory is introduced to calculate the field at an image plane for an imaging system with a high numerical aperture objective lens. The above methods enable the effective modeling of the image for an arbitrary vectorial scattering electromagnetic field coming from the defect pattern of the wafer.

[1]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[2]  Gabriel Popescu,et al.  9nm node wafer defect inspection using visible light , 2014, Advanced Lithography.

[3]  Makoto Kaneko,et al.  Advanced lithography: wafer defect scattering analysis at DUV , 2010, Advanced Lithography.

[4]  Benjamin Bunday,et al.  Use of TSOM for sub-11nm node pattern defect detection and HAR features , 2013, Advanced Lithography.

[5]  Amir Arbabi,et al.  Detecting 20 nm wide defects in large area nanopatterns using optical interferometric microscopy. , 2013, Nano letters.

[6]  Bryan M. Barnes,et al.  The limits and extensibility of optical patterned defect inspection , 2010, Advanced Lithography.

[7]  Calculation of the image of an arbitrary vectorial electromagnetic field. , 2007, Optics express.

[8]  First Order Triangular Patch Basis Functions for Electromagnetic Scattering Analysis , 2001 .

[9]  Gabriel Popescu,et al.  9nm node wafer defect inspection using three-dimensional scanning, a 405nm diode laser, and a broadband source , 2015, Advanced Lithography.

[10]  Brian K. Canfield,et al.  Role of local fields and defects in the nonlinear response of metal nanostructures , 2008, NanoScience + Engineering.

[11]  Martin Y. Sohn,et al.  Enhancing 9 nm node dense patterned defect optical inspection using polarization, angle, and focus , 2013, Advanced Lithography.

[12]  P. Yla-Oijala,et al.  Calculation of CFIE impedance matrix elements with RWG and n/spl times/RWG functions , 2003 .

[13]  Anthony Grbic,et al.  Near-Field Plates: Subdiffraction Focusing with Patterned Surfaces , 2008, Science.

[14]  O. Martin,et al.  Surface integral formulation for 3D simulations of plasmonic and high permittivity nanostructures. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Bruce W. Smith,et al.  Near-field optical microscopy characterization of IC metrology , 1994 .

[16]  Hui Zhou,et al.  Three-dimensional deep sub-wavelength defect detection using λ = 193 nm optical microscopy. , 2013, Optics express.

[17]  Peter Török,et al.  Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation , 1995 .

[18]  Bryan M. Barnes,et al.  Scatterfield microscopy of 22-nm node patterned defects using visible and DUV light , 2012, Advanced Lithography.

[19]  Timothy F. Crimmins Wafer noise models for defect inspection , 2011, Advanced Lithography.

[20]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .