Optimal bistable switching in nonlinear photonic crystals

Soljačić, Marin; Ibanescu, Mihai; Johnson, Steven G.; Fink, Yoel; Joannopoulos, J. D.

doi:10.1103/physreve.66.055601

Cited by 366 publications

(295 citation statements)

References 7 publications

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“…Although the bistability effect is well-known, photonic crystals promise its most optimal implementation: the threshold power for the onset of bistability is proportional to V / Q 2 , where V is the modal volume, so the ability of photonic band gaps to combine small V with high Q is critical. Thresholds of a few milliwatts are predicted for Si photonic crystals [29].…”

Section: Devices By Symmetrymentioning

confidence: 99%

Designing synthetic optical media: photonic crystals

Johnson

Joannopoulos

2003

Acta Materialia

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A new class of materials, called photonic crystals, affect a photon's properties in much the same way that a semiconductor affects an electron's properties. This represents an ability to mold and guide light that leads naturally to novel applications in several fields, including optoelectronics and telecommunications. We present an introductory survey of the basic concepts and ideas that underlie photonic crystals, and present results and devices that illustrate their potential to circumvent limits of traditional optical systems.

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Section: Devices By Symmetrymentioning

confidence: 99%

Designing synthetic optical media: photonic crystals

Johnson

Joannopoulos

2003

Acta Materialia

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“…Despite this, many researchers still believe that the basic properties of devices based on ridge waveguides or PhC waveguides are qualitatively identical, and that they can be correctly described by the coupled-mode theory for continuous systems (see Refs. [11][12][13][14][15][16][17][18][19][20][21] and the discussion in Sec. II).…”

Section: (C)mentioning

confidence: 99%

“…This corresponds to the condition σ(ω res ) = 0 and, based on the terminology developed in Refs. [17,18], σ(ω) may be interpreted as the detuning of the incident frequency from resonance.…”

Section: A Linear Transmissionmentioning

confidence: 99%

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All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures

et al. 2006

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We analyze the resonant linear and nonlinear transmission through a photonic crystal waveguide side-coupled to a Kerr-nonlinear photonic crystal resonator. Firstly, we extend the standard coupled-mode theory analysis to photonic crystal structures and obtain explicit analytical expressions for the bistability thresholds and transmission coefficients which provide the basis for a detailed understanding of the possibilities associated with these structures. Next, we discuss limitations of standard coupled-mode theory and present an alternative analytical approach based on the effective discrete equations derived using a Green's function method. We find that the discrete nature of the photonic crystal waveguides allows a novel, geometry-driven enhancement of nonlinear effects by shifting the resonator location relative to the waveguide, thus providing an additional control of resonant waveguide transmission and Fano resonances. We further demonstrate that this enhancement may result in the lowering of the bistability threshold and switching power of nonlinear devices by several orders of magnitude. Finally, we show that employing such enhancements is of paramount importance for the design of all-optical devices based on slow-light photonic crystal waveguides.

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“…7. This device has been described in (Soljacic et al, 2002) and is particularly suited for our method. First of all it is obvious that the smaller the non-linear sections are, the more efficient our calculations become.…”

Section: Photonic Crystal Devicementioning

confidence: 99%

Modeling of Kerr nonlinear photonic components with mode expansion

Maes

Bienstman

Baets

2004

Optical and Quantum Electronics

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Abstract. We present a numerical method to simulate the third order Kerr effect in wavelength scale dielectric structures. The intensity dependent refractive index is modeled by a spatial grid. By performing iterative linear eigenmode calculations, this index grid converges to the rigorous continuous-wave non-linear solution. Because the underlying eigenmode tool is bidirectional, feedback effects such as bistability can be calculated. We describe the influence of grid size, quantitative agreement with the literature and a photonic crystal switch.

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Optimal bistable switching in nonlinear photonic crystals

Cited by 366 publications

References 7 publications

Designing synthetic optical media: photonic crystals

Designing synthetic optical media: photonic crystals

All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures

Modeling of Kerr nonlinear photonic components with mode expansion

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