Cerenkov-Type Second-Harmonic Generation in Two-Dimensional Nonlinear Photonic Structures

Saltiel, S.; Sheng, Yan; Voloch‐Bloch, Noa; Neshev, Dragomir N.; Królikowski, Wiesław; Arie, Ady; Koynov, Kaloian; Kivshar, Yu. S.

doi:10.1109/jqe.2009.2030147

Cited by 104 publications

(102 citation statements)

References 28 publications

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“…The strong external ring in Fig. 1(b) is due to the Č erenkov SH radiation [11,12,14]. This conical SH wave has a cone angle defined solely by the longitudinal phase-matching condition, k 2 cos ¼ 2k 1 .…”

Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 99%

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Nonlinear Diffraction from a Virtual Beam

et al. 2010

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Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 99%

“…. The two pairs of strong SH spots located at the far sides of every pattern correspond to the longitudinally phase-matched SH signal (Č erenkov-type phase matching) [11,12]. These two spots arise due to the two different types of SH interactions in the nonlinear crystal,…”

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Nonlinear Diffraction from a Virtual Beam

et al. 2010

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“…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).…”

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“…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).…”

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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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BaMgF₄: An Ultra‐Transparent Two‐Dimensional Nonlinear Photonic Crystal with Strong χ⁽³⁾ Response in the UV Spectral Region

Mateos

Ramı́rez

Carrasco

et al. 2013

Adv Funct Materials

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Ferroelectric patterning is often used in advanced photonics and optoelectronic devices to increase their operational bandwidth and functionality, providing novel and unique performances. However, the extension of the ferroelectric structures to two‐dimensional geometries is currently limited to very few oxides and phosphates systems, which constrains its current and future applications. Here, careful processing based on e‐beam lithography and poling is employed to fabricate the first example of a two‐dimensional nonlinear photonic crystal in Barium Magnesium Fluoride, BaMgF4, a ferroelectric fluoride crystal with an extraordinary transparency ranging from the deep ultraviolet (≈126 nm) to the mid infrared (≈13 μm). The optical characterization shows the possibility of obtaining simultaneously up to three different Cerenkov‐type second harmonic generation processes distributed in a conical geometry via χ(2)‐quasi‐phase‐matching technique. Additionally, the remarkably high χ(3) nonlinear response of BaMgF4 crystal in the UV spectral region is exploited to demonstrate what is believed to be the highest direct UV‐third harmonic generation conversion efficiency in a solid state system via pure χ(3) nonlinear process. Together, the results highlight the outstanding opportunities offered by nonlinear photonic structures as innovative avenues to manipulate the light generation and control with reliable multifunctional optical character.

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Cerenkov-Type Second-Harmonic Generation in Two-Dimensional Nonlinear Photonic Structures

Cited by 104 publications

References 28 publications

Nonlinear Diffraction from a Virtual Beam

Nonlinear Diffraction from a Virtual Beam

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

BaMgF₄: An Ultra‐Transparent Two‐Dimensional Nonlinear Photonic Crystal with Strong χ⁽³⁾ Response in the UV Spectral Region

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Cerenkov-Type Second-Harmonic Generation in Two-Dimensional Nonlinear Photonic Structures

Cited by 104 publications

References 28 publications

Nonlinear Diffraction from a Virtual Beam

Nonlinear Diffraction from a Virtual Beam

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

BaMgF4: An Ultra‐Transparent Two‐Dimensional Nonlinear Photonic Crystal with Strong χ(3) Response in the UV Spectral Region

Contact Info

Product

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BaMgF₄: An Ultra‐Transparent Two‐Dimensional Nonlinear Photonic Crystal with Strong χ⁽³⁾ Response in the UV Spectral Region