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Tepe HU. The origin and properties of higher-order near- and far-field modes in plasmonic metal nano-rods. Sci Rep 2025; 15:16761. [PMID: 40369015 PMCID: PMC12078621 DOI: 10.1038/s41598-025-00878-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/09/2025] [Accepted: 05/02/2025] [Indexed: 05/16/2025] Open
Abstract
A hydrodynamic model within the discontinuous Galerkin method is used to simulate the non-linear optical properties of plasmonic gold nanorods. Highly pure spherical and vector spherical harmonics are obtained in the near and far-fields, where each over-tone and polarization represents a unique state. The nano-rods may be treated as switchable quasi-atoms, where the activating mechanism is the intense incident pulse. These properties might become useful in future quantum or optical computation applications. The pure harmonical states are explained by the localized Fermi gas pressure gradients, which is the main force driving the second harmonic generation (SHG).
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Affiliation(s)
- Hüseyin U Tepe
- Micro and Nanotechnology Program, Middle East Technical University, Ankara, 06800, Turkey.
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2
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Vijayakumar S, Vyas K, Espinosa DHG, Reshef O, Song M, Awan KM, Choudhary S, Cardenas J, Boyd RW, Dolgaleva K. Phase-matched third-harmonic generation in silicon nitride waveguides. NANOPHOTONICS 2024; 13:3385-3393. [PMID: 39185486 PMCID: PMC11340998 DOI: 10.1515/nanoph-2024-0120] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/07/2024] [Accepted: 05/14/2024] [Indexed: 08/27/2024]
Abstract
Third-harmonic generation (THG) in silicon nitride waveguides is an ideal source of coherent visible light, suited for ultrafast pulse characterization, telecom signal monitoring and self-referenced comb generation due to its relatively large nonlinear susceptibility and CMOS compatibility. We demonstrate third-harmonic generation in silicon nitride waveguides where a fundamental transverse mode at 1,596 nm is phase-matched to a TM02 mode at 532 nm, confirmed by the far-field image. We experimentally measure the waveguide width-dependent phase-matched wavelength with a peak-power-normalized conversion efficiency of 5.78 × 10-7 %/W2 over a 660-μm-long interaction length.
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Affiliation(s)
- Surendar Vijayakumar
- Institute of Optics, University of Rochester, 480 Intercampus Dr, Rochester, NY14627, USA
| | - Kaustubh Vyas
- School of Electrical Engineering and Computer Science, University of Ottawa, 800 King Edward Ave., Ottawa, ON, K1N 6N5, Canada
| | - Daniel H. G. Espinosa
- School of Electrical Engineering and Computer Science, University of Ottawa, 800 King Edward Ave., Ottawa, ON, K1N 6N5, Canada
| | - Orad Reshef
- Department of Physics, University of Ottawa, 25 Templeton Street, K1N 6N5, Ottawa, ON, Canada
| | - Meiting Song
- Department of Electrical and Computer Engineering, University of California Santa Barbara, Santa Barbara, CA, USA
| | - Kashif Masud Awan
- Institute of Materials Science and Engineering, Washington University, St Louis, MO63130, USA
| | - Saumya Choudhary
- Institute of Optics, University of Rochester, 480 Intercampus Dr, Rochester, NY14627, USA
| | - Jaime Cardenas
- Institute of Optics, University of Rochester, 480 Intercampus Dr, Rochester, NY14627, USA
| | - Robert W. Boyd
- Institute of Optics, University of Rochester, 480 Intercampus Dr, Rochester, NY14627, USA
| | - Ksenia Dolgaleva
- Department of Physics, University of Ottawa, 25 Templeton Street, K1N 6N5, Ottawa, ON, Canada
- School of Electrical Engineering and Computer Science, University of Ottawa, 800 King Edward Ave., Ottawa, ON, K1N 6N5, Canada
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Firby CJ, Elezzabi AY. Enhanced Green Light Emission from a Silicon-Based Metal-Encapsulated Nanoplasmonic Waveguide. NANO LETTERS 2024; 24:3067-3073. [PMID: 38426817 DOI: 10.1021/acs.nanolett.3c04705] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/02/2024]
Abstract
Integrated silicon plasmonic circuitry is becoming integral for communications and data processing. One key challenge in implementing such optical networks is the realization of optical sources on silicon platforms, due to silicon's indirect bandgap. Here, we present a silicon-based metal-encapsulated nanoplasmonic waveguide geometry that can mitigate this issue and efficiently generate light via third-harmonic generation (THG). Our waveguides are ideal for such applications, having strong power confinement and field enhancement, and an effective use of the nonlinear core area. This unique device was fabricated, and experimental results show efficient THG conversion efficiencies of η = 4.9 × 10-4, within a core footprint of only 0.24 μm2. Notably, this is the highest absolute silicon-based THG conversion efficiency presented to date. Furthermore, the nonlinear emission is not constrained by phase matching. These waveguides are envisioned to have crucial applications in signal generation within integrated nanoplasmonic circuits.
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Affiliation(s)
- Curtis J Firby
- Ultrafast Optics and Nanophotonics Laboratory, Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta T6G 2V4, Canada
| | - Abdulhakem Y Elezzabi
- Ultrafast Optics and Nanophotonics Laboratory, Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta T6G 2V4, Canada
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Chen Z, Fainman Y. Compensation of Kerr-induced impairments in silicon nitride third-harmonic generators. OPTICS EXPRESS 2023; 31:5229-5241. [PMID: 36823809 DOI: 10.1364/oe.479059] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/25/2022] [Accepted: 01/12/2023] [Indexed: 06/18/2023]
Abstract
Integrated third-harmonic generators enable on-chip wavelength conversion translating telecom signals to the visible spectrum. Despite the desirable functionality, the device performance is susceptible to phase distortions. Here, we present a design method of compensating the Kerr-induced distortions in third-harmonic generation. The design method yields a chirped Bragg grating theoretically improving the conversion efficiency by ∼30 dB. We envision the design method will pave the way for demonstrating efficient infrared-to-visible upconversion in silicon nitride chips.
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Hallman KA, Rodríguez-Suné L, Trull J, Cojocaru C, Vincenti MA, Akozbek N, Vilaseca R, Scalora M. Harmonic generation from silicon membranes at visible and ultraviolet wavelengths. OPTICS EXPRESS 2023; 31:792-801. [PMID: 36785128 DOI: 10.1364/oe.472036] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/15/2022] [Accepted: 10/12/2022] [Indexed: 06/18/2023]
Abstract
Nonlinear silicon photonics offers unique abilities to generate, manipulate and detect optical signals in nano-devices, with applications based on field localization and large third order nonlinearity. However, at the nanoscale, inefficient nonlinear processes, absorption, and the lack of realistic models limit the nano-engineering of silicon. Here we report measurements of second and third harmonic generation from undoped silicon membranes. Using experimental results and simulations we identify the effective mass of valence electrons, which determines second harmonic generation efficiency, and oscillator parameters that control third order processes. We can then accurately predict the nonlinear optical properties of complex structures, without introducing and artificially separating the effective χ(2) into surface and volume contributions, and by simultaneously including effects of linear and nonlinear dispersions. Our results suggest that judicious exploitation of the nonlinear dispersion of ordinary semiconductors can provide reasonable nonlinear efficiencies and transformational device physics well into the UV range.
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Vernay A, Boutou V, Félix C, Jegouso D, Bassignot F, Chauvet M, Boulanger B. Birefringence phase-matched direct third-harmonic generation in a ridge optical waveguide based on a KTiOPO 4 single crystal. OPTICS EXPRESS 2021; 29:22266-22274. [PMID: 34265995 DOI: 10.1364/oe.432636] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/27/2021] [Accepted: 06/18/2021] [Indexed: 06/13/2023]
Abstract
Birefringence phase-matched third-harmonic generation at 1594 nm is performed for the first time in a KTiOPO4 single crystal micrometric ridge waveguide. The energy conversion efficiency reaches 3.4% for a pump energy as low as 2 µJ over a pulse duration of 15 ps at a repetition rate of 10 Hz. Strong agreements between theory and experiments for both phase-matching and conversion efficiency is obtained, which let us envision future triple photon generation quantum experiments.
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