Researching | Resonant and nonresonant second-harmonic generation in a single cadmium sulfide nanowire

Journals >Chinese Optics Letters >Volume 15 >Issue 6 >Page 061901 > Article

Chinese Optics Letters
Vol. 15, Issue 6, 061901 (2017)

Resonant and nonresonant second-harmonic generation in a single cadmium sulfide nanowire | Editors' Pick

Xiaoyang Huang¹, Shuwei Dai¹, Pengfei Xu², Yongmei Wang¹, Qing Yang², Yong Zhang^1、*, and Min Xiao^1、3

Author Affiliations

¹National Laboratory of Solid State Microstructures, School of Physics, and College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China

²State Key Laboratory of Modern Optical Instrumentation, Department of Optical Engineering, Zhejiang University, Hangzhou 310027, China

³Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701, USA

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DOI: 10.3788/COL201715.061901 Cite this Article Set citation alerts

Xiaoyang Huang, Shuwei Dai, Pengfei Xu, Yongmei Wang, Qing Yang, Yong Zhang, Min Xiao. Resonant and nonresonant second-harmonic generation in a single cadmium sulfide nanowire[J]. Chinese Optics Letters, 2017, 15(6): 061901 Copy Citation Text

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Abstract

We experimentally investigate the resonant and nonresonant second-harmonic generation in a single cadmium sulfide (CdS) nanowire. The second-order susceptibility tensor is determined by analyzing the forward second-harmonic signals of the CdS nanowire. Our results show that (1)

d_{33} / d_{31} = 2.5

at a nonresonant input wavelength of 1050 nm; (2)

d_{33} / d_{31} = 1.9

at a resonant wavelength of 740 nm. The difference can be attributed to the polarization-dependent resonance.

E_{s}^{2 ω} = \frac{8 {π ω}^{2}}{c^{2}} {i W}^{- 1} T_{s} \exp (i D W) \times \int_{- D}^{0} \exp (i z^{'} W) s \cdot P^{2 ω} \exp (- 2 i w z^{'}) d z^{'},

(1a)

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E_{p}^{2 ω} = \frac{8 {π ω}^{2}}{c^{2}} {i W}^{- 1} T_{p} \exp (i D W) \times \int_{- D}^{0} \exp (i z^{'} W) p \cdot P^{2 ω} \exp (- 2 i w z^{'}) d z^{'},

(1b)

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E_{s}^{2 ω} = S_{s} (- 2 d_{15} f_{c} t_{ω}^{s} t_{ω}^{p} \cos φ \sin φ) {(E^{ω})}^{2},

(2a)

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E_{p}^{2 ω} = S_{p} [(2 d_{15} f_{c} f_{s} F_{s} + d_{31} f_{s}^{2} F_{c} + d_{33} f_{c}^{2} F_{c}) {(t_{ω}^{p})}^{2} \cos^{2} φ + d_{31} F_{c} {(t_{ω}^{s})}^{2} \sin^{2} φ] {(E^{ω})}^{2},

(2b)

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I_{p}^{2 ω} = {(a_{p} \cos^{2} φ + b_{p} \sin^{2} φ)}^{2},

(3a)

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I_{s}^{2 ω} = {(c_{s} \cos φ \cdot \sin φ)}^{2},

(3b)

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\frac{d_{33}}{d_{31}} + 2 \frac{f_{s} F_{s}}{f_{c} F_{c}} (\frac{d_{15}}{d_{31}}) = \frac{t_{s}^{2}}{f_{c}^{2} t_{p}^{2}} (\frac{a_{p}}{b_{p}}) - \frac{f_{s}^{2}}{f_{c}^{2}} .

(4)

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E_{p}^{2 ω, quratz} = S_{p}^{quartz} d_{11}^{quartz} {(t^{quartz})}^{2} {(E^{ω})}^{2},

(5a)

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E_{p}^{2 ω, CdS} = S_{p}^{Cds} d_{33}^{CdS} {(t^{CdS})}^{2} {(E^{ω})}^{2},

(5b)

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d_{33}^{CdS} = d_{11}^{quartz} \sqrt{\frac{I_{p - p}^{CdS}}{I_{p - p}^{quartz}}} {(\frac{t^{quartz}}{t^{CdS}})}^{2} \frac{S_{p}^{quartz}}{S_{p}^{Cds}} .

(6)

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References (34)

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Xiaoyang Huang, Shuwei Dai, Pengfei Xu, Yongmei Wang, Qing Yang, Yong Zhang, Min Xiao. Resonant and nonresonant second-harmonic generation in a single cadmium sulfide nanowire[J]. Chinese Optics Letters, 2017, 15(6): 061901

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