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Hidden information extraction from layered structures through terahertz imaging

Hidden information extraction from layered structures through terahertz imaging
Schematic diagram of information extraction process via THz imaging. The measurement is conducted by THz-TDS in the reflection mode for raster scan. The reflected signal composed of dozens of pulses provides both time-of-flight and reflectivity information of the sample, which can be used for subsequent stratigraphic reconstruction and transverse imaging within individual layers. Credit: Science Advances, doi: 10.1126/sciadv.adg8435

Noninvasive inspection of layered structures is challenging for time-resolved imaging methods, where the resolution and contrast can be compromised by prominent signal attenuation with interlayer reflections and dispersions.

In a new report on Science Advances, Yuqing Cui and a team of scientists in manufacturing , electrical and computer engineering and chemistry in China, U.K., and U.S., introduced a method based on terahertz time-domain spectroscopy to attenuate the limits through fine resolution and a broadband spectrum, to extract hidden structural and content information from layered structures.

To accomplish this, they studied the local symmetrical characteristics of reflected Terahertz pulses to determine the location of each layer and enhanced the image contrast to evidence its superior performance. The scientists noted the extraction of alphabetic characters in a 26-layer subwavelength. The work allowed Cui and colleagues to accurately reconstitute the structure and imaging at ultralow signal to noise ratios, to inspect the internal architecture of cultural artifacts, coatings, and composites.

Terahertz time-domain spectroscopy (THz-TDS)

Scientists typically conduct imaging in the terahertz band due to its nonionizing nature, and the high degree of transparency in nonpolar dielectrics. Terahertz time-domain spectroscopy is a nondestructive spectroscopic testing method with 3D imaging, to examine the properties of samples using short pulses of terahertz electromagnetic radiation. The method provides fine resolution and a broadband spectral signature when compared with X-ray tomography and ultrasonic techniques that are suitable to inspect layered structures such as cultural artifacts, pharmaceutical drugs, and composite structures.

Hidden information extraction from layered structures through terahertz imaging
Signal analysis and reflection model. (A) Example of a THz time-domain signal reflected from the layered sample. The vertical axis indicates the amplitude of the reflected electric field in arbitrary units (a.u.), and the horizontal axis represents the time of flight. The orange dashed line indicates the signal envelope. The inset figure shows a comparison between the reference and reflected signals illustrating how weak the latter is by comparison with the former. The peak-to-peak value of the reference pulse is 7.6. (B) Reflection model in periodic dielectric layered stack. Yellow and brown indicate odd-indexed and even-indexed layers, respectively. Black arrows represent some possible paths for THz waves passing through 12 layers (m = 6). (C) The ratio of single- to multiple-reflection amplitudes under various reflectivity ρ. Credit: Science Advances, doi: 10.1126/sciadv.adg8435

Nevertheless, the method can be challenging for broad practical applications due to its sub-milliwatt power that is too feeble to penetrate deeply layered materials for information extraction. This is also accompanied with a drop in the signal-to-noise ratio with numerous small pulses to make imaging challenging to detect the position and amplitude of terahertz pulses. In this work, Cui and colleagues proposed a new method for hidden information extraction from layered structures due to an ultralow signal-to-noise ratio. The approach provides an innovative inspection method with high image contrast and profound penetration depth to examine layered structures.

Measurement setup and processing framework

The team inducted experiments with a pair of photoconductive antennas set in a reflection geometry to measure a 30-layer stack of paper, comprised of alphabetical letters. The emitted terahertz pulse through the lens concentrated in the sample, while the reflected terahertz signal consisted of a sequence of pulses originating at various interfaces, to capture and reflect the terahertz signal and provide time-of-flight and reflectivity information.

The scientists carried out signal analysis and physical explanations, to note signal attenuation due to the confocal setup of the instrument, water-vapor absorption, and transmission absorption in the paper stack. Cui and team explored the signal analysis and reflection model.

Hidden information extraction from layered structures through terahertz imaging
Evaluation of THz imaging results. (A) THz images of each layer. The proposed method successfully obtained layer images with high contrast and consistency. The image of the last page with the letter "Z" can be found in Fig. 5B. Images are normalized separately with the mean value set to 0.4. (B) Estimated SNR of THz signals for each layer. SNR is defined as 20log10 (As/An). The signal amplitude As is calculated from half of the difference between adjacent positive and negative peaks, and the noise amplitude An is calculated from the SD of the nine-point neighborhood around the peak. (C) Evaluation of the THz image quality using the peak SNR (PSNR). PSNR is calculated from the normalized mean square error between the THz image and the binarized optical image. Credit: Science Advances, doi: 10.1126/sciadv.adg8435

Layer-structure reconstruction

To examine layered samples with the THZ-TDS technique, the team used pulse position to reconstruct layer structure and understand the appropriate timeframe to conduct transverse imaging. While the appropriate extraction of the pulse position partially determined the , the complex terahertz signals underwent reflection from structures with dozens of layers. Cui et al. additionally developed a pulse extraction algorithm known as local symmetry peak finding.

The scientists compared the results among different pulse extraction techniques. Following the peak finding of pulse sequences, they successfully extracted layer interfaces from point clouds to reconstruct the structure of layered samples. Afterwards, they obtained transverse terahertz images within various layers by extracting amplitude information from corresponding pulses.

The team used a method for average-amplitude terahertz imaging named the pulse neighborhood average imaging method to obtain high-contrast terahertz images from structures with dozens of layers, with excellent consistency and imaging quality. The team explored the capacity of the proposed method by writing nine words from layers three to 19 of a 22-layer paper stack and conducted terahertz imaging to clearly recognize all the words.

Hidden information extraction from layered structures through terahertz imaging
Application to the Terra-Cotta Warriors. (A) Excavated Terra-Cotta Army and conservation of life-sized warriors. (B) Structure reconstruction and thickness measurement of warrior fragments. (C) THz imaging of the bottom surface. High-amplitude regions in the THz image indicate pores or debonding. Credit: Science Advances, doi: 10.1126/sciadv.adg8435

Applications to decipher cultural heritage

Cui and colleagues next examined cultural artifacts such as murals or canvas paintings with layered structures to detect internal defects and hidden paint layers of artworks to gather hidden information of the structures. The team accomplished this and examined the potential to study the structure and aging conditions of 8000 Terra-Cotta warriors of the Emperor Qin Shi Huang Mausoleum in X'ian to protect and repair the figures. The proposed method successfully examined the structure, its internal defects, and hidden content to obtain hidden information of rich cultural heritage value.

In this way, Yuqing Cui and colleagues used terahertz pulses and neighborhood average imaging to obtain high contrast, images with noise elimination. The proposed framework can extract hidden structural and content information spanning from subwavelength layered paper with high resolution and contrast, to the level of detecting ancient documents—without damage. The method thereby provides fine imaging quality with practical solutions.

More information: Yuqing Cui et al, Hidden-information extraction from layered structures through terahertz imaging down to ultralow SNR, Science Advances (2023). DOI: 10.1126/sciadv.adg8435

Albert Redo-Sanchez et al, Terahertz time-gated spectral imaging for content extraction through layered structures, Nature Communications (2016). DOI: 10.1038/ncomms12665

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