Abstract

Abstract The phase matching between the propagating fundamental and nonlinearly generated waves plays an important role in the efficiency of the nonlinear frequency conversion in macroscopic crystals. However, in nanoscale samples, such as nanoplasmonic structures, the phase-matching condition is often ignored due to the sub-wavelength nature of the materials. Here, we first show that the phase matching of the lattice plasmon modes at the fundamental and second-harmonic frequencies in a plasmonic nanoantenna array can effectively enhance the surface-enhanced second-harmonic generation. Additionally, a significant enhancement of the second-harmonic generation is demonstrated using stationary band-edge lattice plasmon modes with zero phase.

Highlights

  • Nonlinear optical effects are the key underlying processes in a host of advanced photonic functionalities such as all-optical signal processing [1, 2], photon entanglement [3], generation of optical qubits for quantum computing [4] and quantum cryptography [5, 6], generation of ultrashort pulses [7, 8], generation of optical solitons and optical combs [9, 10], as well as nonlinear spectroscopy [11, 12] and imaging [13,14,15] techniques

  • While phase matching (PM) between the fundamental input signal and the nonlinear output signal is considered a critical issue in photonic structures [30,31,32], it is often ignored in the design of nonlinear plasmonic structures

  • We show that the conversion efficiency in surface-enhanced second-harmonic generation (SESHG) in a strongly coupled nanoantenna array, supporting lattice plasmon (LP)

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Summary

Introduction

Nonlinear optical effects are the key underlying processes in a host of advanced photonic functionalities such as all-optical signal processing [1, 2], photon entanglement [3], generation of optical qubits for quantum computing [4] and quantum cryptography [5, 6], generation of ultrashort pulses [7, 8], generation of optical solitons and optical combs [9, 10], as well as nonlinear spectroscopy [11, 12] and imaging [13,14,15] techniques. We first show that the phase matching of the lattice plasmon modes at the fundamental and second-harmonic frequencies in a plasmonic nanoantenna array can effectively enhance the surfaceenhanced second-harmonic generation.

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