Second harmonic generation of metal nanoparticles under tightly focused illumination

Sun, Jian; Wang, Xianghui; Chang, Shengjiang; Zeng, Ming; Zhang, Na

doi:10.1088/1674-1056/25/3/037803

Chinese Phys. B

2016

DOI: 10.1088/1674-1056/25/3/037803

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Second harmonic generation of metal nanoparticles under tightly focused illumination

Jian Sun

Xianghui Wang

Shengjiang Chang

et al.

Abstract: The near-field and far-field second harmonic (SH) responses of a metal spherical nanoparticle placed in the focal region of a highly focused beam are investigated by using the calculation model based on three-dimensional finite-difference time-domain (FDTD) method. The results show that off-axis backward-propagating SH response can be reinforced by tightly focusing, due to the increase of the relative magnitude of the longitudinal field component and the phase shift along the propagation direction.

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Cited by 2 publications

References 29 publications

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Analytical theory of second harmonic generation from a nanowire with noncentrosymmetric geometry

Singla

Mochán

2019

Phys. Rev. B

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We analytically investigate the effect of a non-centrosymmetric geometry in the optical second harmonic (SH) generation from a particle made of a centrosymmetric material, in the interior of which quadratic optical processes are suppressed. We consider a cylindrical particle with a cross-section that is slightly deformed away from a circle and with a radius much smaller than the wavelength. We calculate the induced linear and nonlinear fields perturbatively in terms of the deformation parameter and obtain the nonlinear dipolar and quadrupolar hyperpolarizabilities, whose spectra we evaluate for metallic and dielectric materials. We show that for very small deformations the dipolar contribution to the response competes with the quadrupolar term, and may even be dominant. We explore the spectra of the hyperpolarizability and identify the contributions to its structure for metallic and dielectric particles. We also discuss the nature of SH radiation at various frequencies and find that it may be dominated by the dipolar or the quadrupolar term, or that both may compete yielding non-symmetric radiation patterns. Our calculation may be employed to assess, calibrate and test numerical SH calculations.

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Analytical theory of second harmonic generation from a nanowire with noncentrosymmetric geometry

Singla

Mochán

2019

Phys. Rev. B

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Far-field radiation patterns of second harmonic generation from gold nanoparticles under tightly focused illumination

Sun¹,

Wang²,

Chang³

et al. 2016

Opt. Express

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We study far-field angular radiation patterns of second harmonic generation (SHG) from gold nanosphere, nanocube, nanorod, and nanocup illuminated by tightly focused linearly and radially polarized beams, respectively. It is found that under linearly polarized illumination, far-field forward-scattering SHG (FSHG) dominates second harmonic (SH) responses generated by those gold particles. On the contrary, it is amazing that significant backward-scattering SHG (BSHG) can be observed when those gold nanoparticles are excited by a focused radially polarized beam. For the case of gold nanosphere, the effective point dipole systems are developed to reasonably elucidate this interesting difference. Our investigations suggest that for SHG microscopy with backward detection scheme, tightly focused radially polarized beam could be a promising excitation field to improve the backward SH signal.

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Second harmonic generation of metal nanoparticles under tightly focused illumination

Cited by 2 publications

References 29 publications

Analytical theory of second harmonic generation from a nanowire with noncentrosymmetric geometry

Analytical theory of second harmonic generation from a nanowire with noncentrosymmetric geometry

Far-field radiation patterns of second harmonic generation from gold nanoparticles under tightly focused illumination

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