Effect of Substrate Bending Curvature on Interaction between Femtosecond Laser and Silver Nanostructures at the Nanoscale

Qing Lin; Naifei Ren; Kaibo Xia; Xinnian Guo

doi:10.3788/AOS240674

Acta Optica Sinica, Volume. 44, Issue 16, 1614001(2024)

Effect of Substrate Bending Curvature on Interaction between Femtosecond Laser and Silver Nanostructures at the Nanoscale

Qing Lin^1,2、*, Naifei Ren², Kaibo Xia², and Xinnian Guo¹

Author Affiliations

¹School of Mechanical and Electrical Engineering, Suqian University, Suqian 223800, Jiangsu, China

²School of Mechanical Engineering, Jiangsu University, Zhenjiang 212013, Jiangsu, China

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Abstract Get PDF(in Chinese)

Figures & Tables(22)

Fig. 1. Gridding model

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Fig. 2. Schematic diagram of dimension relationship of geometric model

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$Refractive index of silver nanoparticles$

Fig. 3. Refractive index of silver nanoparticles

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Fig. 4. Electron-phonon coupling coefficient dependent on electron temperature^[25]

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Fig. 5. Electron heat capacity dependent on electron temperature^[25]

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Fig. 6. Coupling relation of multi-physical field models

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Fig. 7. Relative electric field enhancement ( $|E| / E_{0}$ ) of silver nanoparticles trimer at R=140 nm and θ=20°

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Fig. 8. Relative electric field enhancement ( $|E| / E_{0}$ ) of silver nanoparticles trimer at R=190 nm and θ=20°

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Fig. 9. Relative electric field enhancement ( $|E| / E_{0}$ ) of silver nanoparticles trimer at R=140 nm and θ=25°

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Fig. 10. Relative electric field enhancement ( $|E| / E_{0}$ ) of silver nanoparticles trimer at R=190 nm and θ=25°

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Fig. 11. Maximum relative electric field enhancement of trimer at different curvature radii R' and different angles θ

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Fig. 12. Relative electric field enhancement ( $|E| / E_{0}$ ) at θ=15°

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Fig. 13. Relative electric field enhancement ( $|E| / E_{0}$ ) at θ=20°

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Fig. 14. Relative electric field enhancement ( $|E| / E_{0}$ ) at θ=25°

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Fig. 15. Relative electric field enhancement ( $|E| / E_{0}$ ) on a flat substrate

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Fig. 16. Extinction cross-section of silver nanoparticles trimer at θ=15°

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Fig. 17. Maximum relative electric field enhancement of silver nanoparticles trimer at different incident wavelengths

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Fig. 18. Evolution process of electron density in the neighboring medium of nanoparticles at R=200 nm and θ=15°

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Fig. 19. Temperature change process of nanoparticle silver core under irradiation with different laser energy density

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Fig. 20. Temperature distribution of nanoparticle silver core at laser energy density of 200 mJ/cm² (t=1200 fs)

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Table 1. Parameters used in multi-physical field coupling model

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Table 1. Parameters used in multi-physical field coupling model

Parameter	Value	Description
λ /nm	580	Laser wavelength
c₀ /(m·s^-1)	3×10⁸	Speed of light in vacuum
ω /Hz	$2 π c_{0} / λ$	Angular frequency
ε₀/(F·m^-1)	8.85×10^-12	Vacuum permittivity
t_p /fs	300	Laser pulse width [full width at half maximum (FWHM)]
e /C	1.6×10^-19	Electron charge
M_w /kg	3×10^-26	Mass of water molecule
M_s /kg	9.9765×10^-26	Mass of silica molecule
$m_{e}$ /kg	9.10938291×10^-31	Electron mass
$m_{s}^{'}$	0.86m_e	Effective silica electron mass^[19]
$m_{e}^{'}$	0.5m_e	Effective water electron mass^[20]
τ /fs	1.6	Mean free time between electron/molecule collisions^[21]
$ℏ$ /(J·s)	1.0545718×10^-34	Reduced Planck constant
E_gap,w /eV	6.5	Band gap energy of water^[22]
E_gap,c /eV	9	Band gap energy of silica^[23]
ρ_bound,w /cm^-3	6.68×10²²	Bound electron density of water^[20]
ρ_bound,s /cm^-3	2.2×10²²	Bound electron density of silica^[23]
n_w	1.33	Refractive index of water
n_s	1.45	Refractive index of silica

Table 2. Different curvature radii selected for parameterized scanning calculation
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Table 2. Different curvature radii selected for parameterized scanning calculation
R /nm 140 150 160 170 180 190
R' /nm 162 172 182 192 202 212

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Qing Lin, Naifei Ren, Kaibo Xia, Xinnian Guo. Effect of Substrate Bending Curvature on Interaction between Femtosecond Laser and Silver Nanostructures at the Nanoscale[J]. Acta Optica Sinica, 2024, 44(16): 1614001

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