The left panel shows an optical/SEM-style inspection probe scanning across a nanostructured surface patterned with a regular hexagonal array of nano-holes. A circular callout highlights a single hole's contour, overlaid with a smooth elliptical fit, alongside a simplified power-spectral-density (PSD) plot indicating quantitative frequency-domain analysis. The right panel shows the two technical pillars behind this measurement capability. The upper section illustrates the established EFD-based workflow: from a raw SEM image, to a binary contour extraction, to fitting an elliptic Fourier descriptor onto the hole's edge, to computing PSD and correlation length as a directional shape-quantification index. The lower section shows an ongoing/future direction: a noisy SEM image is passed through an unsupervised U-Net denoiser, producing a cleaner image whose noise floor can then be subtracted from the measured PSD to yield an unbiased CER (contact edge roughness) PSD.
Applied Technologies
1. Elliptic Fourier Descriptor (EFD)-based Quantitative Characterization
A closed contour extracted from an SEM image (e.g., a nano-hole edge) is decomposed into its x and y coordinate signals, each represented as a Fourier series. This yields harmonic coefficients that quantitatively describe how the contour deviates from an ideal shape, in both x and y directions independently. Unlike conventional polar-coordinate roughness analysis, which cannot separate directional frequency components, EFD enables a genuinely two-dimensional characterization of contact edge roughness (CER) — capturing power spectral density, correlation length, and shape-variation fingerprints that are directly relevant to device performance, even for non-circular or curvilinear contact patterns.
2. Deep-Learning Denoising for Unbiased PSD Extraction (Future Direction)
CD-SEM images inherently contain measurement noise, since only a limited number of frames can be averaged without damaging the resist. This noise manifests as a flat "noise floor" in the high-frequency region of the PSD, causing roughness values to be systematically overestimated — a problem that becomes especially severe for ultrathin EUV resists with low signal-to-noise ratio. Our planned approach applies an unsupervised deep-learning denoiser (a U-Net trained via a Noise2Void-style scheme, requiring no ground-truth clean images) to suppress this noise at the image level before contour extraction. By comparing PSD curves before and after denoising — and cross-validating against AFM measurements — this pipeline aims to recover an unbiased CER PSD, extending the well-established LER/LWR denoising methodology into the largely unexplored CER/CWR domain.
Elliptic Fourier Descriptor
Denoising