Polarization imaging in atmospheric environment based on polarized reflectance retrieval

Huijie Zhao; Jian Xing; Xingfa Gu; Guorui Jia

doi:10.3788/COL201917.012601

Journals >Chinese Optics Letters >Volume 17 >Issue 1 >Page 012601 > Article

Chinese Optics Letters
Vol. 17, Issue 1, 012601 (2019)

Polarization imaging in atmospheric environment based on polarized reflectance retrieval

Huijie Zhao^1、*, Jian Xing¹, Xingfa Gu², and Guorui Jia^1、**

Author Affiliations

¹School of Instrumentation Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China

²Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, Beijing 100094, China

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DOI: 10.3788/COL201917.012601 Cite this Article Set citation alerts

Huijie Zhao, Jian Xing, Xingfa Gu, Guorui Jia. Polarization imaging in atmospheric environment based on polarized reflectance retrieval[J]. Chinese Optics Letters, 2019, 17(1): 012601 Copy Citation Text

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Abstract

A method for calculating the atmospheric parameters measurement accuracy requirement based on polarized reflectance retrieval is proposed. The at-sensor polarization states with different atmospheric parameters content are simulated based on the atmospheric radiative transfer model in order to select the key parameter affecting the polarization observation. The accuracy requirement of atmospheric parameters is derived through the polarized reflectance retrieval method. Experiment results show that retrieval accuracy of polarized reflectance of typical ground objects can be up to 90%. The atmospheric parameters measurement accuracy requirement when the retrieval accuracy is more than 75% is derived.

{\vec{L}}_{s} = {\vec{L}}_{r} + {\vec{L}}_{d} + {\vec{L}}_{u},

(1)

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{\vec{L}}_{r} = T_{r} (θ_{r}) F_{r} (θ_{i}, θ_{r}, φ) T_{i} (θ_{i}) \cos θ_{i} E_{s} (θ_{i}),

(2)

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{\vec{L}}_{d} = T_{r} (θ_{r}) \iint_{Ω_{i}} F_{r} (θ_{i}, θ_{r}, φ) \cos θ_{i} {\vec{L}}_{d}^{Ω_{i}} (θ_{i}, φ_{i}) d Ω_{i},

(3)

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{\vec{L}}_{u} = {\vec{L}}_{u} (θ_{r}, φ_{r}),

(4)

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T_{r} F_{r} T_{i} \cos θ_{i} E_{s} = {\vec{L}}_{s} - T_{r} \iint_{Ω_{i}} F_{r} \cos θ_{i} {\vec{L}}_{d}^{Ω_{i}} d Ω_{i} - {\vec{L}}_{u} .

(5)

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T_{r} [\begin{matrix} f_{00} \\ f_{10} \\ f_{20} \end{matrix}] T_{i} \cos θ_{i} E_{s} = {\vec{L}}_{s} - T_{r} \iint_{Ω_{i}} F_{r} \cos θ_{i} {\vec{L}}_{d}^{Ω_{i}} d Ω_{i} - {\vec{L}}_{u},

(6)

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[\begin{matrix} f_{00} \\ f_{10} \\ f_{20} \end{matrix}] = \frac{{\vec{L}}_{s} - T_{r} \iint_{Ω_{i}} F_{r} \cos θ_{i} {\vec{L}}_{d}^{Ω_{i}} d Ω_{i} - {\vec{L}}_{u}}{T_{r} T_{i} \cos θ_{i} E_{s}} .

(7)

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[\begin{matrix} f_{00} \\ f_{10} \\ f_{20} \end{matrix}] = \frac{{\vec{L}}_{s} - {\vec{L}}_{u}}{T_{r} T_{i} \cos θ_{i} E_{s}} - \frac{T_{r} \iint_{Ω_{i}} F_{r} \cos θ_{i} {\vec{L}}_{d}^{Ω_{i}} d Ω_{i}}{T_{r} T_{i} \cos θ_{i} E_{s}} = \frac{{\vec{L}}_{s} - {\vec{L}}_{u}}{T_{r} T_{i} \cos θ_{i} E_{s}} - [\begin{matrix} ε_{0} \\ ε_{1} \\ ε_{2} \end{matrix}],

(8)

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[\begin{matrix} f_{00} + ε_{0} \\ f_{10} + ε_{1} \\ f_{20} + ε_{2} \end{matrix}] = \frac{{\vec{L}}_{s} - {\vec{L}}_{u}}{T_{r} T_{i} \cos θ_{i} E_{s}} .

(9)

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α = \frac{\sqrt{Q^{2} + U^{2}}}{I}, η = \frac{1}{2} \arctan \frac{U}{Q},

(10)

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e_{i j} = \frac{| r_{i j} - r_{i j}^{0} |}{r_{i j}^{0}} \times 100 %,

(11)

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M_{r} = \sqrt{\frac{\sum_{n} e_{i j}^{2}}{n}} \times 100 %,

(12)

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Huijie Zhao, Jian Xing, Xingfa Gu, Guorui Jia. Polarization imaging in atmospheric environment based on polarized reflectance retrieval[J]. Chinese Optics Letters, 2019, 17(1): 012601

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