Intensity and phase fields behind phase-shifting masks studied with high-resolution interference microscopy

Abstract. We try to find out the details of how light fields behind the structures of photomasks develop in order to determine the best conditions and designs for proximity printing. The parameters that we use approach real situations like structure printing at proximity gaps of 20 to 50  μm and structure sizes down to 2  μm. This is the first time that an experimental analysis of light propagation through a mask is presented in detail, which includes information on intensity and phase. We use high-resolution interference microscopy (HRIM) for the measurement. HRIM is a Mach–Zehnder interferometer, which is capable of recording three-dimensional distributions of intensity and phase with diffraction-limited resolution. Our characterization technique allows plotting the evolution of the desired light field, usually called the aerial image, and therefore gives access to the printable structure until the desired proximity gap. Here, we discuss in detail the evolution of intensity and phase fields of elbow or corner structures at different positions behind a phase mask and interpret the main parameters. Of particular interest are tolerances against proximity gap variation and the theoretical explanation of the resolution in printed structures.

[1]  Alfred Kwok-Kit Wong,et al.  Resolution enhancement techniques in optical lithography , 2001 .

[2]  Shinji Okazaki,et al.  Pushing the limits of lithography , 2000, Nature.

[3]  Anthony Garetto,et al.  Aerial imaging technology for photomask qualification: from a microscope to a metrology tool , 2012 .

[4]  Myun-Sik Kim,et al.  Measuring amplitude and phase of light emerging from microstructures with HRIM , 2011, Optical Metrology.

[5]  Myun-Sik Kim,et al.  Phase anomalies in Talbot light carpets of self-images. , 2013, Optics express.

[6]  M. Fritze,et al.  Subwavelength Optical Lithography with Phase-Shift Photomasks , 2003 .

[7]  C. Dais,et al.  Phase shifting masks in Displacement Talbot Lithography for printing nano-grids and periodic motifs , 2015 .

[8]  C. Dais,et al.  Displacement Talbot lithography: a new method for high-resolution patterning of large areas. , 2011, Optics express.

[9]  Roderick R. Kunz,et al.  Recent Trends in Optical Lithography , 2004 .

[10]  Toralf Scharf,et al.  Multiwavelength High Resolution Interference Microscopy (HRIM) for the characterization of small size microlenes , 2010 .

[11]  A W Lohmann,et al.  Making an array illuminator based on the talbot effect. , 1990, Applied optics.

[12]  Franklin M. Schellenberg,et al.  A History of Resolution Enhancement Technology , 2005 .

[13]  Reinhard Voelkel,et al.  Simulation tools for advanced mask aligner lithography , 2011, Optical Systems Design.

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

[15]  M. V. Berry,et al.  Integer, fractional and fractal Talbot effects , 1996 .

[16]  H. Herzig,et al.  Talbot Images of Wavelength-scale Amplitude Gratings , 2022 .

[17]  U. Zeitner,et al.  Resolution enhancement for advanced mask aligner lithography using phase-shifting photomasks. , 2014, Optics express.

[18]  T J Suleski,et al.  Generation of Lohmann images from binary-phase Talbot array illuminators. , 1997, Applied optics.

[19]  T. Eiju,et al.  Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm. , 1987, Applied optics.

[20]  Li-Da Huang,et al.  Optical proximity correction (OPC): friendly maze routing , 2004, DAC.

[21]  Toralf Scharf,et al.  Shaping intensity behind amplitude masks for proximity correction lithography: design, measurement, and realization , 2014, Optics & Photonics - Optical Engineering + Applications.

[22]  C. Mack Fundamental principles of optical lithography : the science of microfabrication , 2007 .

[23]  J. Pelka,et al.  Diffraction effects in submicron contact or proximity printing , 1990 .

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

[25]  Takeaki Ebihara,et al.  Vortex Mask: Making 80nm contacts with a twist! , 2002, Photomask Technology.