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Near-field terahertz single-pixel imaging with ultralow sampling ratio
Optics Express
|June 14, 2025
Summary
We introduce a new Frequency-domain Modulus-correlation Hadamard (FMH) imaging method. FMH significantly reduces data needs for high-quality terahertz images, improving acquisition speed.
Area of Science:
- Optics and Photonics
- Image Reconstruction
- Signal Processing
Background:
- Terahertz (THz) imaging is crucial for non-destructive analysis.
- Current methods face limitations in sampling ratios and acquisition speed.
- Efficient image reconstruction is key for practical THz applications.
Purpose of the Study:
- To introduce a novel reordered Hadamard basis method, Frequency-domain Modulus-correlation Hadamard (FMH).
- To demonstrate FMH's capability in reducing sampling ratios for high-quality image reconstruction.
- To enhance the acquisition rate of near-field terahertz single-pixel imaging.
Main Methods:
- Developed the Frequency-domain Modulus-correlation Hadamard (FMH) method with uniform spatial frequency increment.
- Integrated a pseudo-background post-processing technique.
- Compared FMH performance against Sylvester Hadamard and Walsh Hadamard methods using simulations and experiments.
Main Results:
- FMH significantly decreases the required sampling ratio for high-quality image reconstruction compared to existing Hadamard methods.
- Achieved a low sampling ratio of 4.27% for terahertz image reconstruction with a Pearson correlation coefficient > 0.9.
- Demonstrated a nearly 5-fold increase in acquisition rate for near-field terahertz single-pixel imaging.
Conclusions:
- The FMH method offers a substantial improvement in terahertz image reconstruction efficiency.
- FMH enables faster data acquisition in near-field terahertz single-pixel imaging.
- This technique has the potential to advance various THz imaging applications.

