Snapshot imaging spectrometer based on a microlens array

Zexia Zhang; Jun Chang; Hongxi Ren; Kaiyuan Fan; Dongmei Li

doi:10.3788/COL201917.011101

Journals >Chinese Optics Letters >Volume 17 >Issue 1 >Page 011101 > Article

Chinese Optics Letters
Vol. 17, Issue 1, 011101 (2019)

Snapshot imaging spectrometer based on a microlens array

Zexia Zhang^1、*, Jun Chang^1、**, Hongxi Ren¹, Kaiyuan Fan¹, and Dongmei Li^2、3

Author Affiliations

¹School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China

²University of Chinese Academy of Sciences, Beijing 100853, China

³Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China

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DOI: 10.3788/COL201917.011101 Cite this Article Set citation alerts

Zexia Zhang, Jun Chang, Hongxi Ren, Kaiyuan Fan, Dongmei Li. Snapshot imaging spectrometer based on a microlens array[J]. Chinese Optics Letters, 2019, 17(1): 011101 Copy Citation Text

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Abstract

This Letter proposes a snapshot imaging spectrometer, which obtains the spectral information and spatial information in one “shot”. The device proposed can achieve the data cube size of

21 \times 29 \times 40

in the waveband of 400–800 nm. The core element of this system is the microlens array, which contains

60 \times 60

microlenses in a square arrangement, each microlens has an aperture of

125 μ m \times 125 μ m

, and the

F

number is 15. The microlens array is mounted in a rotation mount, which provides 360° of rotation around the optical axis to maximize the spectral resolution. The final resolution of the system is about 10 nm.

I = \iint O (x, y, λ) \times \sum_{m, n}^{i, j} rect (\frac{x - x_{c i, j}}{d}, \frac{y - y_{c i, j}}{d}) \times p (λ, α, θ, φ) \times R d x d y,

(1)

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i_{2} (i, j, x, y) = \sum_{- N}^{N} I \times rect (\frac{x - x_{c i, j}}{d}, \frac{y - y_{c i, j}}{d}),

(2)

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x_{c i, j} = \frac{\sum_{i, j} x I_{x}}{\sum I_{x}}, y_{c i, j} = \frac{\sum_{i, j} y I_{y}}{\sum I_{y}} (i = 1, \dots, m, j = 1, \dots, n),

(3)

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\frac{d θ}{d λ} = \frac{d n \sin α}{d λ \cos i_{1}^{'} \cos i_{2}^{'}},

(4)

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\frac{d x}{d λ} = f \frac{d θ}{d λ} = \frac{f d n \sin α}{d λ \cos i_{1}^{'} \cos i_{2}^{'}},

(5)

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D = \frac{d F_{o} F}{F_{m} F_{c}},

(6)

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\frac{d λ}{d p} = \frac{D}{d x / d λ} = \frac{d F_{o} F d λ \cos i_{1}^{'} \cos i_{2}^{'}}{F_{m} F_{c} f d n \sin α} .

(7)

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W = N D = \frac{N d F_{o} F}{F_{m} F_{c}},

(8)

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C = \frac{I - I_{b}}{I_{w} - I_{b}} \times 100 %,

(9)

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Zexia Zhang, Jun Chang, Hongxi Ren, Kaiyuan Fan, Dongmei Li. Snapshot imaging spectrometer based on a microlens array[J]. Chinese Optics Letters, 2019, 17(1): 011101

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