Dispersion control of broadband super-Rayleigh speckles for snapshot spectral ghost imaging

Pengwei Wang; Zhentao Liu; Jianrong Wu; Xia Shen; Shensheng Han

doi:10.3788/COL202220.091102

Journals >Chinese Optics Letters >Volume 20 >Issue 9 >Page 091102 > Article

Chinese Optics Letters
Vol. 20, Issue 9, 091102 (2022)

Dispersion control of broadband super-Rayleigh speckles for snapshot spectral ghost imaging

Pengwei Wang^1,2, Zhentao Liu^1,2,*, Jianrong Wu¹, Xia Shen¹, and Shensheng Han^1,2,3

Author Affiliations

¹Key Laboratory of Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

²Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

³Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou 310024, China

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DOI: 10.3788/COL202220.091102 Cite this Article Set citation alerts

Pengwei Wang, Zhentao Liu, Jianrong Wu, Xia Shen, Shensheng Han, "Dispersion control of broadband super-Rayleigh speckles for snapshot spectral ghost imaging," Chin. Opt. Lett. 20, 091102 (2022) Copy Citation Text

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Abstract

Snapshot spectral ghost imaging, which can acquire dynamic spectral imaging information in the field of view, has attracted increasing attention in recent years. Studies have shown that optimizing the fluctuation of light fields is essential for improving the sampling efficiency and reconstruction quality of ghost imaging. However, the optimization of broadband light fields in snapshot spectral ghost imaging is challenging because of the dispersion of the modulation device. In this study, by judiciously introducing a hybrid refraction/diffraction structure into the light-field modulation, snapshot spectral ghost imaging with broadband super-Rayleigh speckles was demonstrated. The simulation and experiment results verified that the contrast of speckles in a broad range of wavelengths was significantly improved, and the imaging system had superior noise immunity.

Keywords

dispersion ghost imaging spectral imaging

U_{slm} (r_{0}, λ_{0}) = \frac{j}{λ_{0} z_{2}} \exp (- j \frac{2 π}{λ_{0}} z_{2}) \int_{- \infty}^{\infty} w (r_{1}) \exp [- j \frac{π}{λ_{0} z_{2}} {(r_{0} - r_{1})}^{2}] d r_{1},

(1)

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U_{t} (r_{t}, λ) = \frac{1}{j λ z_{2}^{'}} \exp (j \frac{2 π}{λ} z_{2}^{'}) \int U_{0} (r_{0}, λ) U_{slm} (r_{0}, λ_{0}) \exp [j \frac{π}{λ z_{2}^{'}} {(r_{t} - r_{0})}^{2}] d r_{0},

(2)

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C = 1 + \frac{\frac{\sum_{k = 1}^{n - 1} {(C_{n}^{k})}^{4} {[k! (n - k)!]}^{2}}{{(n!)}^{2}}}{1 + \frac{k (n - k) z_{2}^{2} λ^{2} {[β - \frac{1}{(γ + τ)}]}^{2}}{π^{2} σ^{4}}},

(3)

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z_{1} = {(\frac{λ}{λ_{0} z_{2}} - \frac{1}{z_{2}^{'}})}^{- 1},

(4)

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C_{\max} = 1 + \frac{\sum_{k = 1}^{n - 1} {(C_{n}^{k})}^{4} {[k! (n - k)!]}^{2}}{{(n!)}^{2}} .

(5)

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\frac{1}{z_{o}} + \frac{1}{z_{i}} = \frac{1}{f},

(6)

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f = {(\frac{1}{z_{o}} + \frac{1}{D_{1} - \frac{z_{2} β}{1 - γ β}})}^{- 1},

(7)

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I (r_{t}, λ) \propto w (β γ r_{t} - β \frac{z_{i}}{z_{o}} τ r_{o}) w^{*} (β γ r_{t} - β \frac{z_{i}}{z_{o}} τ r_{o}),

(8)

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γ (Δ r_{o}) = \frac{{(n!)}^{2} \exp [- n {(B Δ r_{o})}^{2}] + \sum_{k = 1}^{n - 1} {(C_{n}^{k})}^{4} {[k! (n - k)!]}^{2} \exp [- (n - k) {(B Δ r_{o})}^{2}]}{{(n!)}^{2} + \sum_{k = 1}^{n - 1} {(C_{n}^{k})}^{4} {[k! (n - k)!]}^{2}},

(9)

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γ (Δ λ) \approx \frac{{(n!)}^{2} \exp [- n {(D r_{t} Δ λ)}^{2}] + \sum_{k = 1}^{n - 1} {(C_{n}^{k})}^{4} {[k! (n - k)!]}^{2} \exp [- (n - k) {(D r_{t} Δ λ)}^{2}]}{{(n!)}^{2} + \sum_{k = 1}^{n - 1} {(C_{n}^{k})}^{4} {[k! (n - k)!]}^{2}},

(10)

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Δ G^{(2)} (r_{r}, λ_{k}) = 〈 Δ I_{t} (r_{t}) Δ I_{r} (r_{t}; r_{r}, λ_{k}) 〉 \propto T (r_{r}, λ_{k}) \otimes g^{(2)} (r_{r}, λ_{k}),

(11)

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Y = A X,

(12)

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Pengwei Wang, Zhentao Liu, Jianrong Wu, Xia Shen, Shensheng Han, "Dispersion control of broadband super-Rayleigh speckles for snapshot spectral ghost imaging," Chin. Opt. Lett. 20, 091102 (2022)

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