Photonic Band Edge Effects in Finite Structures and Applications to χ(2) Interactions

D’Aguanno, Giuseppe; Centini, Marco; Haus, Joseph W.; Scalora, Michael; Sibilia, C.; Bloemer, Mark J.; Bowden, Charles M.; Bertolotti, M.

doi:10.1007/978-3-662-05144-3_6

Cited by 13 publications

(25 citation statements)

References 26 publications

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“…Looking at the z component of light group velocity and energy flux, we see a dramatic slowdown of light in the vicinity of the AFM regime, with all possible practical applications extensively discussed in the literature (see, for example, [9,10,11,12], and references therein). In principle, there can be a situation when the tangential components (u x , u y ) of the group velocity also vanish in the AFM regime, along with the axial component u z .…”

Section: Discussionmentioning

confidence: 99%

Oblique frozen modes in periodic layered media

2003

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We study the classical scattering problem of a plane electromagnetic wave incident on the surface of semi-infinite periodic stratified media incorporating anisotropic dielectric layers with special oblique orientation of the anisotropy axes. We demonstrate that an obliquely incident light, upon entering the periodic slab, gets converted into an abnormal grazing mode with huge amplitude and zero normal component of the group velocity. This mode cannot be represented as a superposition of extended and evanescent contributions. Instead, it is related to a general (non-Bloch) Floquet eigenmode with the amplitude diverging linearly with the distance from the slab boundary. Remarkably, the slab reflectivity in such a situation can be very low, which means an almost 100% conversion of the incident light into the axially frozen mode with the electromagnetic energy density exceeding that of the incident wave by several orders of magnitude. The effect can be realized at any desirable frequency, including optical and UV frequency range. The only essential physical requirement is the presence of dielectric layers with proper oblique orientation of the anisotropy axes. Some practical aspects of this phenomenon are considered.

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Section: Discussionmentioning

confidence: 99%

Oblique frozen modes in periodic layered media

2003

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“…The NPCs can allow enhancement of nonlinearity through their periodicity [3,4]. Numerous theoretical and experimental results on second-harmonic generation (SHG) enhancement have been demonstrated for various types of photonic crystals [4][5][6]. Meanwhile, third-harmonic generation (THG) in one-dimensional photonic crystals (1D-PCs) via a cascade parametric process of SHG and sum-frequency generation (SFG) has been usually demonstrated experimentally [7,8].…”

Section: Introductionmentioning

confidence: 98%

“…The matching of phase for THG by tuning the wavelength of pump field to the band-edge was called the band-edge phasematching technique [1,[3][4][5]. In our case, the example 1D-PC is 1D holographic-polymer dispersed liquid crystal (H-PDLC) grating.…”

Section: Introductionmentioning

confidence: 99%

Third-harmonic generation enhancement in polymer-dispersed liquid crystal grating

Wicharn

Buranasiri

2014

Active Photonic Materials VI

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In this paper, the enhancement of third-harmonic generation in one-dimensional periodic grating structure with lowindex contrast, which is produced by holographic illuminated liquid crystal droplets and called polymer-dispersed liquid crystal grating, with near-infrared pumping has been demonstrated. The observed enhancement process is theoretically explained and modeled with a multi-scale perturbation analysis and split-step Fourier transform technique, respectively. We show that the third-harmonic generation has been enhanced by setting the fundamental frequency wavelength to the long-wavelength band-edge of the first photonic band-gap of this periodic structure and satisfying band-edge phasematched condition. The numerical results show that a dramatic enhancement of the third-harmonic field is observed near the long-wavelength band-edge of the second photonic band-gap. Furthermore, the conversion efficiency of thirdharmonic field of forward-propagating direction is more than of backward-propagating direction by a factor of 600.

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“…Such low-power high conversion efficiencies could find applications in high-frequency sources [7][8][9], imaging [10], optical storage [11], and other spectroscopic devices [12] that suffer from a lack of coherent lasers at various wavelengths. SHG has been studied in many different contexts [13][14][15][16][17][18][19], most commonly in waveguides [20][21][22], in the so-called undepleted pump limit in which down-conversion effects are negligible [6,[23][24][25][26][27]. More recently, as devices have become smaller and as these nonlinear processes have become more important for integrated and ultracompact applications, there has been increased interest in designing techniques and/or devices that lower the power requirements and dimensions, as well as increase the efficiency of these systems [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

High-efficiency second-harmonic generation in doubly-resonant χ^(2) microring resonators

Bi¹,

Rodríguez²,

Hashemi³

et al. 2012

Opt. Express

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By directly simulating Maxwell's equations via the finite-difference time-domain (FDTD) method, we numerically demonstrate the possibility of achieving high-efficiency second harmonic generation (SHG) in a structure consisting of a microscale doubly-resonant ring resonator side-coupled to two adjacent waveguides. We find that ≳ 94% conversion efficiency can be attained at telecom wavelengths, for incident powers in the milliwatts, and for reasonably large bandwidths (Q ∼ 1000s). We demonstrate that in this high efficiency regime, the system also exhibits limit-cycle or bistable behavior for light incident above a threshold power. Our numerical results agree to within a few percent with the predictions of a simple but rigorous coupled-mode theory framework.

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Photonic Band Edge Effects in Finite Structures and Applications to χ(2) Interactions

Cited by 13 publications

References 26 publications

Oblique frozen modes in periodic layered media

Oblique frozen modes in periodic layered media

Third-harmonic generation enhancement in polymer-dispersed liquid crystal grating

High-efficiency second-harmonic generation in doubly-resonant χ^(2) microring resonators

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