Conical second harmonic generation in one-dimension nonlinear photonic crystal

An, Ning; Zheng, Yuanlin; Ren, Huaijin; Deng, Xiaotie; Chen, Xianfeng

doi:10.1063/1.4807673

Cited by 16 publications

(19 citation statements)

References 16 publications

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“…In this situation, the Fourier coefficients become C 0 = 0 and C m = −2i mπ [sin( mπ 2 )] 2 . The scattering-assisted conical SH intensity can be express as 2 , which is the same as the conical SH intensity in PPLN [2]. A set of symmetrically distributed ring-shaped SH, in which 0, ±1 and ±3 orders of SH ring in experiment, observed, as shown in Fig.…”

Section: Experiments Results and Discussionmentioning

confidence: 88%

“…For instance, scattering could be used to discover structure information and physical properties of the materials relating to light-matter interaction. Not limited in linear optics, such scattering phenomenon has also been reported in processes of nonlinear frequency conversion [1][2][3][4][5][6], in which the nonlinear signal is enhanced because of the phase matching of the incident and scattered light in some special directions. The quasi-phase matching(QPM) method allows to phase match a nonlinear process in the transparency range of the nonlinear photonic crystals (NPCs) by spatially modulating its nonlinear coefficient.…”

Section: Introductionmentioning

confidence: 95%

“…The SLM had a resolution of 512 × 512 pixels, each with a rectangular area of 19.5 × 19.5 μm 2 . The FW was then imaged by a 4-f system (magnification of 0.25) to imprint the modulated wavefront pattern to the onset of a χ (2) crystal. The beam waist was reduced to 2 mm.…”

Section: The Theoretical Analysismentioning

confidence: 99%

“…Considering a degenerate second harmonic generation (SHG) process, the nonlinear polarization , which serves as the source of second harmonic (SH), excited by the fundamental wave (FW) in a nonlinear medium can be expressed as P 2ω (r, t) = 0 χ (2) (r)E 2 ω (r, t) , where 0 is the vacuum permittivity, χ (2) is the second-order susceptibility and E ω is the electric field of FW. It indicates that the SHG not only relates to χ (2) , but also the structure of the incident FW. This makes it possible to manipulate the SH pattern in real time by controlling the incident FW [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Scattering-assisted second harmonic generation of structured fundamental wave

Liu¹,

Li²,

Fang³

et al. 2016

Opt. Express

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We study a scattering-assisted second harmonic generation process of a structured fundamental wave, whose phase front is periodically modulated, in a homogenous nonlinear medium. Scattering-assisted multiple-conical second harmonic in a one-dimensional structured fundamental wave and second harmonic belts in two-dimensional cases were observed. The experimental results are consistent with our analysis. This method not only allows dynamic control of the scattering-assisted second harmonic signal, but also has potential applications in various nonlinear frequency conversion processes.

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Section: Experiments Results and Discussionmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 95%

Section: The Theoretical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scattering-assisted second harmonic generation of structured fundamental wave

Liu¹,

Li²,

Fang³

et al. 2016

Opt. Express

Self Cite

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“…However, for the NBD process to occur, both LPM and TPM need to be satisfied. In the past twenty years, secondharmonic generation (SHG) via various nonlinear diffractions in 1D and 2D NPCs had been the major focus [7][8][9][10][11][12][13] . Although high-order harmonics (HH) are very important to the field of nonlinear optics, until recently, publications on HH generation using NPCs have been almost nonexistent.…”

mentioning

confidence: 99%

Fourth-harmonic generation via nonlinear diffraction in a 2D LiNbO3 nonlinear photonic crystal from mid-IR ultrashort pulses

Kafka

Chowdhury

2017

Chin. Opt. Lett.

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Five conical harmonic beams are generated from the interaction of femtosecond mid-infrared (mid-IR) pulses at a nominal input wavelength of 1997 nm with a 2D LiNbO 3 nonlinear photonic crystal with Sierpinski fractal superlattices. The main diffraction orders and the corresponding reciprocal vectors involved in the interaction are ascertained. Second and third harmonics emerging at external angles of 23.82°and 36.75°result from nonlinearČerenkov and Bragg diffractions, respectively. Three pathways of fourth-harmonic generation are observed at external angles of 14.21°, 36.5°, and 53.48°, with the first one resulting from nonlinearČerenkov diffraction, and the other two harmonics are generated via different cascaded processes.OCIS codes: 190.4420, 190.2620, 050.1940. doi: 10.3788/COL201715.051901.When a monochromatic wave passes through a homogeneous medium with its second-order nonlinear susceptibility varying in some regions, e.g., χ ð2Þ in a nonlinear photonic crystal (NPC), nonlinear diffraction can be detected for the harmonic rings or spots of the input fundamental wave [1][2][3][4][5][6] . Nonlinear diffraction, which is based on phase matching, includes nonlinearČerenkov diffraction (NCD), nonlinear Raman-Nath diffraction (NRND), and nonlinear Bragg diffraction (NBD). For NCD, the longitudinal phase matching (LPM) is satisfied when the longitudinal direction is parallel to the incident fundamental laser beam. This phase matching can be achieved by the addition of integer multiples of the incident wave vector or the combination of the incident wave vector and reciprocal vectors. In the case of NRND, the transverse (perpendicular to the incident fundamental laser beam) phase matching (TPM) has to be satisfied. This can be achieved by the combination of the reciprocal vectors. However, for the NBD process to occur, both LPM and TPM need to be satisfied. In the past twenty years, secondharmonic generation (SHG) via various nonlinear diffractions in 1D and 2D NPCs had been the major focus [7][8][9][10][11][12][13] . Although high-order harmonics (HH) are very important to the field of nonlinear optics, until recently, publications on HH generation using NPCs have been almost nonexistent. Recently, there have been several significant efforts to generate third harmonics in periodic, short-range ordered or radially poled NPCs, NPC waveguide and random quadratic media by NCD and NRND [14][15][16][17][18] . Also, high efficiency quasi-phase-matched harmonic generation from the 2nd to 8th order have been observed within a single LiNbO 3 (LN) NPC [19] . However, fourth-harmonic generation (FHG) via nonlinear diffraction is rarely reported. The advantage of using a 2D fractal superlattice is that it may allow the freedom of optimization of many parameters such as input wavelength, harmonic order, angle, and efficiency. In this Letter, second, third, and especially multiple fourth harmonics are achieved by nonlinear diffractions in an LN NPC with Sierpinski fractal superlattices under femtosecond pulses.In our experim...

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Enhancing Nonlinear Interactions by the Superposition of Plasmonic Lattices on χ⁽²⁾-Nonlinear Photonic Crystals

et al. 2021

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Plasmonic structures have been revealed as efficient units to enhance localized nonlinear phenomena generated at dielectric–metal interfaces. However, their effect on the nonlinear interactions provided by quasi-phase matching processes in χ(2) modulated dielectric crystals have been scarcely addressed, mainly due to the complexity in manufacturing appropriate periodic plasmonic structures overlying the χ(2) dielectric structure. Here, by a simple method we have fabricated a periodic structure based on the combination of two commensurate lattices: a periodic lattice of chains of Ag nanoparticles and a periodic lattice of χ(2)-modulation based on a ferroelectric domains structure. The hybrid system supports multiple surface plasmon lattice resonances (SLRs) at the technologically relevant NIR spectral region, which yield the enhancement of the nonlinear diffraction pattern generated by the χ(2) structure. The superposition of the plasmonic and the χ(2)-modulation lattice results in a 20-fold enhancement of the directional SHG due to the excitation of SLRs by the interacting waves involved in the nonlinear process. The results are obtained in lithium niobate, a widely used crystal in optoelectronics, and demonstrate the potential of the approach to design integrated solid-state platforms for on-chip optical steering, multiplexing or quantum technologies.

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Conical second harmonic generation in one-dimension nonlinear photonic crystal

Cited by 16 publications

References 16 publications

Scattering-assisted second harmonic generation of structured fundamental wave

Scattering-assisted second harmonic generation of structured fundamental wave

Fourth-harmonic generation via nonlinear diffraction in a 2D LiNbO3 nonlinear photonic crystal from mid-IR ultrashort pulses

Enhancing Nonlinear Interactions by the Superposition of Plasmonic Lattices on χ⁽²⁾-Nonlinear Photonic Crystals

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Conical second harmonic generation in one-dimension nonlinear photonic crystal

Cited by 16 publications

References 16 publications

Scattering-assisted second harmonic generation of structured fundamental wave

Scattering-assisted second harmonic generation of structured fundamental wave

Fourth-harmonic generation via nonlinear diffraction in a 2D LiNbO3 nonlinear photonic crystal from mid-IR ultrashort pulses

Enhancing Nonlinear Interactions by the Superposition of Plasmonic Lattices on χ(2)-Nonlinear Photonic Crystals

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Product

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Enhancing Nonlinear Interactions by the Superposition of Plasmonic Lattices on χ⁽²⁾-Nonlinear Photonic Crystals