Slow-Light-Enhanced Nonlinear Characteristics in Slot Waveguides Composed of Photonic Crystal Nanobeam Cavities

Makino, Shio; Ishizaka, Yuhei; Saitoh, Kunimasa; Koshiba, Masanori

doi:10.1109/jphot.2013.2246557

Cited by 16 publications

(8 citation statements)

References 31 publications

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“…In some works, the modal volume V eff for optical resonators is used to estimate the A eff of PC waveguides [15,24]. The nonlinear parameter using V eff is given as [15] where r max denotes the position where |e| is at the maximum.…”

Section: γ Calculated By the Modal Volumementioning

confidence: 99%

“…In addition to the above expressions for the nonlinear parameter, other works mention that the slowdown factor S [20], defined as the ratio of the phase velocity over the group velocity, which is calculated as n g /n 0 , where n g is group index, is required to estimate γ of PC waveguides [11,23,24,26]. In [20], it was pointed out that the value of γ increased with n g , and S ξ (1 < ξ < 2) should be multiplied to γ for periodic optical waveguides, leading to the definition of the effective nonlinear parameter as .…”

Section: Effective Nonlinear Parameter γ Eff With Slowdown Factormentioning

confidence: 99%

“…(18) and (19), Eqs. (15) and (17) are used for A eff , and ξ is usually 2 [11,23,24,26]. In this paper, ξ = 2 unless otherwise noted.…”

Section: Effective Nonlinear Parameter γ Eff With Slowdown Factormentioning

confidence: 99%

“…In [15], A eff is calculated by the modal volume [21,22], V eff , which was originally defined for the resonator analysis and has no direct relation to NLSE (Method C). In [23] (Method D-1) and [24] (Method D-2), so-called slowdown factor S is multiplied to γ obtained by Methods B and C. Because the γ values calculated by these methods are different, it is not certain whether these assumptions are appropriate for HIC periodic waveguides. Hence, a rigorous formalism is required to accurately evaluate γ , especially for PC waveguides.…”

Section: Introductionmentioning

confidence: 99%

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A rigorous definition of nonlinear parameter γ and effective area A_eff for photonic crystal optical waveguides

et al. 2015

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Section: γ Calculated By the Modal Volumementioning

confidence: 99%

Section: Effective Nonlinear Parameter γ Eff With Slowdown Factormentioning

confidence: 99%

“…(18) and (19), Eqs. (15) and (17) are used for A eff , and ξ is usually 2 [11,23,24,26]. In this paper, ξ = 2 unless otherwise noted.…”

Section: Effective Nonlinear Parameter γ Eff With Slowdown Factormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A rigorous definition of nonlinear parameter γ and effective area A_eff for photonic crystal optical waveguides

et al. 2015

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“…UE to the high Q factor, small mode volume and compact footprint, various microcavities, including microring resonators [1,2], photonic crystal (PhC) cavities [3] and microdisks [4], are finding applications in many areas of physics and engineering, including lasers [5], light-emitting devices [6,7], channel drop filters [8], wavelength-division multiplexing [9], nonlinear optics [10][11][12] and so on. Microcavities have become a promising platform for realizing silicon photonic integrated circuits.…”

Section: Introductionmentioning

confidence: 99%

Slow-Light Dispersion in One-Dimensional Photonic Crystal Racetrack Ring Resonator

Qiu

Zeng

et al. 2015

IEEE Photon. Technol. Lett.

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A one-dimensional photonic crystal racetrack ring resonator coupling with an optimized bus waveguide on a silicon-on-insulator wafer is proposed and demonstrated. The nonuniform free spectral range is realized in the resonator. A maximum group index of 37.6 and a slowdown factor of 11.0 are obtained. The nonuniform free spectral range and large group index are attributed to the slow-light effect near the band edge of the one-dimensional photonic crystal. Three-dimensional finite-difference time-domain method is performed to simulate the resonator. The simulation results show good agreement with the experimental results. The photonic crystal racetrack ring resonator demonstrated here will be beneficial for channel drop filters, wavelength-division multiplexing, lasers, and other applications.

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Die [2+2]‐Cycloadditions‐Retroelektrocyclisierungs(CA‐RE)‐Klick‐Reaktion: ein einfacher Zugang zu molekularen und polymeren Push‐pull‐Chromophoren

Michinobu

Diederich

2018

Angewandte Chemie

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Die [2+2]‐Cycloadditions‐Retroelektrocyclisierungs(CA‐RE)‐Reaktion von elektronenreichen Alkinen mit elektronenarmen Alkenen ist ein effizientes Verfahren zur Bildung nichtplanarer Donor‐Akzeptor‐Chromophore sowohl in molekularen als auch in polymeren Plattformen. Diese Chromophore zeigen ansprechende Eigenschaften, wie intramolekulare Charge‐Transfer(ICT)‐Banden, nichtlineare optische Eigenschaften und Redox‐Eigenschaften zur Verwendung in elektronischen und optoelektronischen Funktionseinheiten der nächsten Generation. Dieser Aufsatz fasst die Entwicklung der CA‐RE‐Reaktion zusammen, beginnend mit den anfänglichen Berichten über Organometallverbindungen bis hin zu rein organischen Systemen. Die strukturellen Voraussetzungen für schnelle Umsetzungen in hohen Ausbeuten, Merkmale echter Klick‐Chemie, werden anhand von Beispielen dargelegt, die die breiten möglichen Alkin‐ und Alkensubstitutionsmuster belegen. Die CA‐RE‐Klick‐Reaktion wurde erfolgreich in der Polymerchemie eingesetzt. Die gebildeten polymeren Push‐pull‐Chromophore finden dabei zahlreiche interessante Anwendungen.

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Slow-Light-Enhanced Nonlinear Characteristics in Slot Waveguides Composed of Photonic Crystal Nanobeam Cavities

Cited by 16 publications

References 31 publications

A rigorous definition of nonlinear parameter γ and effective area A_eff for photonic crystal optical waveguides

A rigorous definition of nonlinear parameter γ and effective area A_eff for photonic crystal optical waveguides

Slow-Light Dispersion in One-Dimensional Photonic Crystal Racetrack Ring Resonator

Die [2+2]‐Cycloadditions‐Retroelektrocyclisierungs(CA‐RE)‐Klick‐Reaktion: ein einfacher Zugang zu molekularen und polymeren Push‐pull‐Chromophoren

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