Background-free detection of molecular chirality using a single-color beam [Invited]

Yuhang Chen; Xiaosong Zhu; Pengfei Lan; Peixiang Lu

doi:10.3788/COL202220.100004

Journals >Chinese Optics Letters >Volume 20 >Issue 10 >Page 100004 > Article

Chinese Optics Letters
Vol. 20, Issue 10, 100004 (2022)

Background-free detection of molecular chirality using a single-color beam [Invited] | On the Cover

Yuhang Chen¹, Xiaosong Zhu^1,*, Pengfei Lan^1,**, and Peixiang Lu^1,2

Author Affiliations

¹Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

²Optics Valley Laboratory, Wuhan 430074, China

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DOI: 10.3788/COL202220.100004 Cite this Article Set citation alerts

Yuhang Chen, Xiaosong Zhu, Pengfei Lan, Peixiang Lu, "Background-free detection of molecular chirality using a single-color beam [Invited]," Chin. Opt. Lett. 20, 100004 (2022) Copy Citation Text

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Abstract

We propose and numerically demonstrate a simple and background-free all-optical chiral spectroscopy technique for gas molecules. Our approach is based on high harmonic generation driven by a new type of laser beam that is produced by one linearly polarized single-color beam passing through a lens and a prism. It is shown that chiral and achiral signals are completely separated in frequency, indicating strong background-free and highly sensitive chirality detection. We believe this all-optical method can open new opportunities for ultrafast detection for chiral dynamics in the femtoseond to attosecond time scale.

Keywords

high harmonic generation selection rule strong-field chiral spectroscopy

{\hat{H}}_{\vec{R}}^{Λ} (t) = \sum_{j} - \frac{\nabla_{j}^{2}}{2} + \frac{1}{2} \sum_{i \neq j} \frac{1}{| {\vec{r}}_{i} - {\vec{r}}_{j} |} + \sum_{j} V^{Λ} ({\vec{r}}_{j}) + \sum_{j} \vec{E} (t; \vec{R}) \cdot {\vec{r}}_{j} .

(1)

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{\hat{H}}_{\vec{R}}^{Λ} (t) Ψ_{\vec{R}}^{Λ} (t) = i \frac{\partial}{\partial t} Ψ_{\vec{R}}^{Λ} (t),

(2)

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{\vec{p}}^{Λ} (t; \vec{R}) = 〈 Ψ_{\vec{R}}^{Λ} (t) | \vec{r} | Ψ_{\vec{R}}^{Λ} (t) 〉 .

(3)

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\vec{p} (t; \vec{R}) = \sum_{Λ} {\vec{p}}^{Λ} (t; \vec{R}) .

(4)

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{\hat{H}}_{\vec{R}} (t) = \sum_{Λ} {\hat{H}}_{\vec{R}}^{Λ} (t),

(5)

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\vec{S} (Ω; \vec{R}) = \int \ddot{\vec{p}} (t; \vec{R}) e^{- i Ω t} d t,

(6)

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\vec{E} (t; \vec{R}) = (\begin{matrix} E_{0 x} (\vec{R}) \cos (ω t + ϕ_{x} (\vec{R})) \\ 0 \\ E_{0 z} (\vec{R}) \cos (ω t + ϕ_{z} (\vec{R})) \end{matrix}),

(7)

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\vec{p} (t; \vec{R}) = \sum_{n} {\vec{F}}_{n} (\vec{R}) \exp (i n \frac{2 π t}{T}),

(8)

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{\hat{τ}}_{2} \cdot {\hat{R}}_{2}^{y} \sum_{n} {\vec{F}}_{n} \exp (i n \frac{2 π t}{T}) = \sum_{n} {\vec{F}}_{n} \exp (i n \frac{2 π t}{T}) .

(9)

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\sum_{n} (\begin{matrix} - F_{n x} \cdot {(- 1)}^{n} \\ F_{n y} \cdot {(- 1)}^{n} \\ - F_{n z} \cdot {(- 1)}^{n} \end{matrix}) = \sum_{n} (\begin{matrix} F_{n x} \\ F_{n y} \\ F_{n z} \end{matrix}) .

(10)

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\sum_{n} (\begin{matrix} F_{n x} (- X,0, Z) \\ - F_{n y} (- X,0, Z) \\ - F_{n z} (- X,0, Z) \end{matrix}) = \sum_{n} (\begin{matrix} F_{n x} (X,0, Z) \\ F_{n y} (X,0, Z) \\ F_{n z} (X,0, Z) \end{matrix}) .

(11)

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E_{Z, λ_{q}} (X, Y) = \frac{e^{i \frac{π}{λ_{q} Z} (X^{2} + Y^{2})}}{i λ_{q} Z} \int_{- \infty}^{\infty} \int_{- \infty}^{\infty} E_{h} (X^{'}, Y^{'}) e^{i \frac{π}{λ_{q} Z} (X^{' 2} + Y^{' 2})} e^{\frac{- i 2 π (X X^{'} + Y Y^{'})}{Z λ_{q}}} d X^{'} d Y^{'},

(12)

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Yuhang Chen, Xiaosong Zhu, Pengfei Lan, Peixiang Lu, "Background-free detection of molecular chirality using a single-color beam [Invited]," Chin. Opt. Lett. 20, 100004 (2022)

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