Heterochromatic nonlinear optical responses in upconversion nanoparticles for point spread function engineering
Chaohao Chen, Baolei Liu, Yongtao Liu, Jiayan Liao, Xuchen Shan, Fan, Wang, and Dayong Jin

TL;DR
This paper introduces a method using upconversion nanoparticles to generate diverse point spread functions under a single beam, enabling enhanced high-resolution imaging by capturing both low and high-frequency information.
Contribution
The study presents a novel heterochromatic PSF engineering technique utilizing nonlinear upconversion nanoparticles for improved nanoscopy imaging.
Findings
Achieved 40 nm spatial resolution, 1/24th of excitation wavelength.
Demonstrated simultaneous capture of low and high-frequency image information.
Verified enhanced image quality through Fourier domain heterochromatic fusion.
Abstract
Point spread function (PSF) engineering of the emitter can code higher spatial frequency information of an image to break diffraction limit but suffer from the complexed optical systems. Here we present a robust strategy to simultaneously achieve diverse PSFs from upconversion nanoparticles under a single doughnut-shape scanning beam. By saturating the four-photon state, the high-frequency information can be extracted through the doughnut emission PSF. In contrast, the complementary lower frequency information can be carried out by the Gaussian-like emission PSF, as a result of over-saturated at the two-photon state. With the Fourier domain heterochromatic fusion, we verify the capability of the synthesised PSF to cover both low and high-frequency information, yielding the overall enhanced image quality. We show a spatial resolution of 40 nm, 1/24th of the excitation wavelength. This…
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