A two-dimensional nonlinear photonic crystal for strong second harmonic generation

Shi, Bin; Jiang, Zhijun; Zhou, Xingping; Wang, X.

doi:10.1063/1.1473669

Cited by 23 publications

(10 citation statements)

References 16 publications

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“…SHG has been investigated using an FDTD scheme in one-dimensional bulk structures and stratified media [27][28][29][30] and in two-dimensional defective photonic crystals [18][19][20]. Recently, a two-dimensional FDTD code has been proposed for the study of both second-and third-order nonlinear phenomena [31].…”

Section: Fdtd Analysismentioning

confidence: 99%

“…In Raineri et al [18] the SHG is observed in a linear defect realized by removing an entire row of air holes in a two-dimensional triangular lattice of AlGaAs; the pump field at the FF and the generated SH fields become confined in the PC waveguide and they also interact under the phase-matching condition. An infinite array of square rods of LiNbO 3 surrounded by air is presented in Shi et al [19]. The defects in this structure are introduced by changing the side length of some rods in the PC so that a transmittance peak, which refers to a defect mode, appears in the band gap.…”

Section: Introductionmentioning

confidence: 99%

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A Doubly Resonant Photonic-Crystal Microcavity for Second-Harmonic Generation

Antonucci

D’Orazio

Ceglia

et al. 2007

Fiber and Integrated Optics

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A two-dimensional, photonic-crystal microcavity is proposed in order to achieve efficient second-harmonic generation in the third optical communication window. The simultaneous resonance conditions of the pump beam at the fundamental frequency and second-harmonic field generated inside the structure with a defect provides a considerable enhancement of the conversion efficiency. In the configuration we propose, a transverse-magnetic (TM) polarized beam resonating at the fundamental frequency generates a second-harmonic field corresponding to a transverse-electric (TE) polarized resonant mode. The design of this doubly resonant microcavity is carried out by a linear analysis to search for the resonance frequencies and calculate their field distributions. The nonlinear analysis of the second-harmonic generation is performed using a dispersive finite-difference time-domain code.

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Section: Fdtd Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Doubly Resonant Photonic-Crystal Microcavity for Second-Harmonic Generation

Antonucci

D’Orazio

Ceglia

et al. 2007

Fiber and Integrated Optics

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“…It has been shown (by a standard method of harmonic expansion) that for a particular photonic crystal (PC) of square symmetry there are wavelengths at which such flattening occurs in particular spatial directions in certain propagation band [2][3][4][5]. On the other hand the PCs can be made in nonlinear materials and thus they can be used in nonlinear optics, in particular for observation of the efficient SHG [6][7]. More recently, it has been suggested also that both χ (3) [8] and χ (2) [9] nonlinear processes can be considerably increased using PC structures tuned to subdiffractive regimes.…”

Section: Introductionmentioning

confidence: 99%

Second harmonic generation in planar two-dimensional photonic crystals without out-of-plane losses

Nistor

Cojocaru

Loiko

et al. 2009

2009 11th International Conference on Transparent Optical Networks

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We are making a study of the out-of-plane losses for the second harmonic generation process in planar twodimensional photonic crystals made from Al 0.3 Ga 0.7 As. We found that for the rhombic symmetry of the lattice it can be obtained a structure in which the out-of-plane losses vanish for both fundamental and second harmonic waves in conditions of very small diffraction for the second harmonic wave and a diffraction close to the one obtained in homogeneous medium for the fundamental wave. INTRODUCTIONThe light wavelength conversion is an important process that it is used in various optical engineering technologies. In general, for converting the wavelength it is used a nonlinear optical process where higher-order polarization generates new frequency components. This conversion process requires the use of highly nonlinear crystals (as Al 0.3 Ga 0.7 As, for example) and the conversion efficiency depends on the input light intensity, phase matching condition and light travelling distance. One way to obtain higher light intensity is to focus the light into a narrow beam (with spot of few light wavelengths) inside the nonlinear material. If the second harmonic (SH) wave, for example, is generated in relatively long nonlinear crystals the region where the beam has its minimum diameter (i.e. maximum intensity) is small compared with the nonlinear material length. Therefore, the efficiency of the conversion process, and in particular of the second harmonic generation (SHG) for such narrow beams is limited in the first place by the diffraction, which is responsible for the transverse spatial broadening of both fundamental wave (FW) and SH wave leading to a decreasing of their top intensities. Another mechanism which is limiting the SHG efficiency for narrow beams is the phase mismatch, as for narrow beams the spatial spectra will be broader and the Fourier components of spatial spectra can be never simultaneously phase matched. Because of these two reasons the parametric coupling between extremely narrow beams is still a challenging problem of wavelength conversion in both bulk and structures nonlinear materials. Moreover, if we are thinking at realistic structures that could be used in experiments, we should take into account also the thickness of the planar structure, which could introduce additional out-of-plane losses.The diffractive broadening of both FW and SH beams could be reduced or even avoided letting the light propagate in a subdiffractive (or self collimation [1]) regime. Subdiffractive propagation is associated with the flattening of spatial dispersion iso-frequency lines of the propagating Bloch modes. It has been shown (by a standard method of harmonic expansion) that for a particular photonic crystal (PC) of square symmetry there are wavelengths at which such flattening occurs in particular spatial directions in certain propagation band [2][3][4][5]. On the other hand the PCs can be made in nonlinear materials and thus they can be used in nonlinear optics, in particular for observation of the efficient ...

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“…The linear defect is able to confine the pump field at fundamental wavelength (FW) and the generated SH field and the wavelength conversion efficiency relies on phase-matching condition. An infinite array of square rods of LiNbO 3 surrounded by air was proposed in (Shi et al 2002) where, periodically changing the side length of some rods, defects are introduced in the PC which allow the rise of resonant modes in the band gap. The fundamental field is trapped near the defect, being the fundamental wave tuned to the defect mode wavelength: SHG efficiency enhances since the localized field intensity becomes higher than the incident light one.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of the SHG efficiency in a doubly resonant 2D-photonic crystal microcavity

et al. 2007

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In this paper we discuss the conditions to obtain the enhancement of second harmonic generation in a two-dimensional circular photonic crystal AlGaAs cavity. The photonic crystal circular cavity offers the possibility of having high-Q resonance modes with respect to those obtained with other types of photonic crystal lattices. The crystallographic cut of the AlGaAs provides a strong nonlinear coupling between a transverse-magnetic (TM) polarized resonant mode at the fundamental wavelength and a transverse-electric (TE) polarized resonant mode at second harmonic wavelength. The double resonance condition leads to a strong improvement of the second harmonic generation process. A preliminary linear analysis has been performed by using the finite-difference time-domain method, which includes the dispersive response of the material, modeled using the well-known one-pole pair Lorentzian function.

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A two-dimensional nonlinear photonic crystal for strong second harmonic generation

Cited by 23 publications

References 16 publications

A Doubly Resonant Photonic-Crystal Microcavity for Second-Harmonic Generation

A Doubly Resonant Photonic-Crystal Microcavity for Second-Harmonic Generation

Second harmonic generation in planar two-dimensional photonic crystals without out-of-plane losses

Enhancement of the SHG efficiency in a doubly resonant 2D-photonic crystal microcavity

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