scholarly journals Resonance-forbidden second-harmonic generation in nonlinear photonic crystals

Nanophotonics ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Jicheng Jin ◽  
Jian Lu ◽  
Bo Zhen
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Finite Size ◽  
Parameter Tuning ◽  
Matching Condition ◽  
Finite Size Effect ◽  
Phase Matching ◽  
Nonlinear Photonic Crystal ◽  
Phase Matching Condition

Abstract Second harmonic generation through nonlinear nano-photonic structures is important in both classical and quantum applications. It is commonly expected that the second harmonic frequency can always be generated as long as appropriate quadratic nonlinearity is provided by the material and the phase-matching condition is satisfied. Here, we present an anomaly to this common wisdom by showing that second-harmonic dipoles generated in a nonlinear photonic crystal slab can be completely nonradiative. As a result, no energy is transferred from the fundamental frequency to the second harmonic even when the phase-matching condition is satisfied – a phenomenon we call “resonance-forbidden second-harmonic generation”. Through numerical simulation, we identify two mechanisms that can achieve this phenomenon: symmetry protection and parameter tuning. The finite-size effect and the topological origin of this phenomenon are also discussed.

scholarly journals Robust Geometries for Second-Harmonic-Generation in Microrings Exhibiting a 4-Bar Symmetry

2020 ◽  
Vol 10 (24) ◽  
pp. 9047
Author(s):  
Pierre Guillemé ◽  
Chiara Vecchi ◽  
Claudio Castellan ◽  
Stefano Signorini ◽  
Mher Ghulinyan ◽  
...  
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Matching Condition ◽  
Second Order ◽  
Phase Matching ◽  
Zinc Blend ◽  
Quasi Phase Matching ◽  
Fabrication Defects ◽  
Phase Matching Condition

Microring resonators made of materials with a zinc-blend or diamond lattice allow exploiting their 4-bar symmetry to achieve quasi-phase matching condition for second-order optical nonlinearities. However, fabrication tolerances impose severe limits on the quasi-phase matching condition, which in turn degrades the generation efficiency. Here, we present a method to mitigate these limitations. As an example, we studied the geometry and the pump wavelength conditions to induce the second-harmonic generation in silicon-based microrings with a second-order susceptibility χzxy(2)≠0. We found the best compromises between performances and experimental requirements, and we unveil a strategy to minimize the impacts of fabrication defects. The method can be easily transferred to other material systems.

scholarly journals Phase-matched nonlinear second-harmonic generation in plasmonic metasurfaces

Nanophotonics ◽  
2019 ◽  
Vol 8 (4) ◽  
pp. 607-612 ◽  
Author(s):  
S. Hamed Shams Mousavi ◽  
Robert Lemasters ◽  
Feng Wang ◽  
Ali Eshaghian Dorche ◽  
Hossein Taheri ◽  
...  
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Frequency Conversion ◽  
Second Harmonic ◽  
Matching Condition ◽  
Phase Matching ◽  
Nonlinear Frequency ◽  
Nonlinear Frequency Conversion ◽  
Phase Matching Condition ◽  
Plasmon Modes

AbstractThe 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.

Effect of field modulation on the quasi-phase-matching for second harmonic generation in a two-dimensional nonlinear photonic crystal

2017 ◽  
Vol 31 (05) ◽  
pp. 1750025
Author(s):  
Li-Ming Zhao ◽  
Yun-Song Zhou ◽  
Ai-Hua Wang
Keyword(s):  
Photonic Crystal ◽  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Phase Matching ◽  
Finite Width ◽  
Two Dimensional ◽  
Nonlinear Photonic Crystal ◽  
Quasi Phase Matching ◽  
Field Modulation

Second harmonic generation (SHG) in a two-dimensional (2D) nonlinear photonic crystal (NPC) with finite width along [Formula: see text]-direction that is embedded in air is investigated, without adopting the traditional approximations such as a plane-wave approximation (PWA) and slowly varying amplitude approximation (SVAA). The so-called quasi-phase-matching (QPM) and the corresponding SHG conversion efficiency can be modulated significantly by the field of fundamental wave (FW). It is assumed that the incident light, along [Formula: see text]-direction, is normally launched upon the surface of the sample, and QPM for different directions is investigated. It is found that the QPM shows significant differences, compared with the traditional QPM along the two different directions: in the direction of finite width of the sample, the peak value of SHG conversion efficiency is deviated from the traditional case and it gets to its peak values when the transmittance resonance occurs. However, in the other direction, the deviation from the traditional QPM arises from the field modulation of the second harmonic wave (SHW) and in this direction, it is investigated that the full width at half maximum of QPM is much wider than that in the direction of finite width of the sample. These results can be used to provide a theoretical guidance for achieving QPM SHG.

SECOND HARMONIC GENERATION USING A NON BIREFRINGENT MATERIAL IN A DOUBLY RESONANT MONOLITHIC CAVITY

1996 ◽  
Vol 05 (03) ◽  
pp. 591-601
Author(s):  
V. BERGER
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Resonance Condition ◽  
Double Resonance ◽  
Matching Condition ◽  
Linear Process ◽  
Tuning Parameter ◽  
Non Linear ◽  
Phase Matching Condition

Doubly resonant second harmonic generation (SHG) in a monolithic cavity is theoretically analysed. Using a non birefringent material as non linear medium, it is shown that both the double resonance condition and the phase matching condition between the two counter propagating second harmonic intracavity waves can be satisfied with a cavity length equal to the coherence length of the non linear process, and with well designed mirror phases. It is also shown theoretically how the double resonance can be maintained with only one tuning parameter. A SHG cavity enhancement of a few tens of thousands may be achieved at double resonance.

scholarly journals Second-Harmonic Generation of Blue Light in GaN Waveguides

2018 ◽  
Vol 8 (8) ◽  
pp. 1218 ◽  
Author(s):  
Martin Rigler ◽  
Tinkara Troha ◽  
Wei Guo ◽  
Ronny Kirste ◽  
Isaac Bryan ◽  
...  
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Chemical Vapor ◽  
Matching Condition ◽  
Dispersion Phase ◽  
Central Wavelength ◽  
Near Ir ◽  
Ridge Waveguides ◽  
Phase Matching Condition

Second-harmonic generation was studied in III-metal-polar GaN films grown on sapphire substrates by metalorganic chemical vapor deposition and formed into ridge waveguides. Broadband near-IR femtosecond pulses of an optical parametric amplifier system were injected by end-fire coupling and the nonlinear response was measured while tuning the central wavelength. A prominent peak was found at 450 nm for 1140 nm thick and 10 μm wide GaN waveguides. The measured second-harmonic peak was in agreement with the modal-dispersion phase matching condition calculated using the dispersion of the extraordinary refractive indices of GaN obtained by prism coupling.

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