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2026

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06

Incoherent Super-Resolution Based on Diffraction in Hermite–Gaussian Imaging

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The Liangcai Cao team at Tsinghua University has proposed a diffraction-based Hermite–Gaussian imaging (D‑HGI) method that enables Gaussian imaging of time‑incoherent light sources. D‑HGI employs a single pure phase element to perform mode projection without a local oscillator and estimates mode intensities by integrating the ±1 diffraction orders, made possible through a mask design that accounts for the point spread function. Experimental demonstrations using point‑source localization validate the performance of this mode‑projection approach. For Gaussian imaging of full two‑dimensional objects, the authors replace the previous neural network with a calibration‑driven reconstruction algorithm, thereby enhancing robustness and interpretability. Experiments show that D‑HGI achieves an optical resolution of 0.31λ/NA in incoherent imaging systems, demonstrating passive superresolution beyond the Rayleigh limit. This method offers a practical pathway toward passive incoherent superresolution in microscopy and astronomy.

The research findings were published in Optica on May 5, 2026, under the title “Incoherent superresolution via diffraction-based Hermite–Gaussian imaging.”

Figure 1: Principle and Workflow of D-HGI

Figure 2: (a) A subset of the selected iHG modes used in the experiment.

Figure 3: Experimentally calibrated response matrices for several representative spatial patterns.

Figure 4: Localization of a sub-diffraction-limited point source using a diffraction-based pattern measurement method.

Figure 5: Ground truth (GT), DI, and D-HGI results for 2D line pairs on the object.

Figure 6: Two-dimensional imaging of English letters—GT, DI, and D-HGI results

Figure 7: Resolution Comparison of DI, DI+WNR, DI+RL, and HGI

Source: Optics World