Analysis of spectral characteristics of photonic bandgap waveguides

Optics Express (Impact Factor: 3.49). 12/2002; 10(23):1320-33. DOI: 10.1364/OE.10.001320
Source: PubMed


A numerical model based on a scalar beam propagation method is applied to study light transmission in photonic bandgap (PBG) waveguides. The similarity between a cylindrical waveguide with concentric layers of different indices and an analogous planar waveguide is demonstrated by comparing their transmission spectra that are numerically shown to have coinciding wavelengths for their respective transmission maxima and minima. Furthermore, the numerical model indicates the existence of two regimes of light propagation depending on the wavelength. Bragg scattering off the multiple high-index/low-index layers of the cladding determines the transmission spectrum for long wavelengths. As the wavelength decreases, the spectral features are found to be almost independent of the pitch of the multi-layer Bragg mirror stack. An analytical model based on an antiresonant reflecting guidance mechanism is developed to accurately predict the location of the transmission minima and maxima observed in the simulations when the wavelength of the launched light is short. Mode computations also show that the optical field is concentrated mostly in the core and the surrounding first high-index layers in the short-wavelength regime while the field extends well into the outermost layers of the Bragg structure for longer wavelengths. A simple physical model of the reflectivity at the core/high-index layer interface is used to intuitively understand some aspects of the numerical results as the transmission spectrum transitions from the short- to the long-wavelength regime.

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Available from: Natalia Litchinitser, Jul 23, 2014
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    • "fibers guide light along a low-index core by antiresonant reflection among the rods. The antiresonant reflection optical waveguide model (ARROW) is already well explained in the previous literature [3] and [4]. Light leaks out of the core if its wavelength satisfies the resonant condition of the highindex rods. "
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    ABSTRACT: We demonstrate nonlinear propagation of femtosecond laser pulses in an all-solid photonic bandgap fiber. A supercontinuum from 560 to 1470 nm is generated from this fiber with an average power of 2 W. Spectral broadening not only occurs within the first bandgap, where the pump laser lies, but it also emits a phase-matched dispersive wave in a different propagation mode within the adjacent bandgap. Energy transfers across the intergap attenuation region with simultaneous mode conversion in the nonlinear process. The intermodal Cherenkov radiation generated across two bandgaps by the perturbed Raman solitons can enrich the nonlinear process in the all-solid photonic bandgap fiber.
    IEEE Photonics Technology Letters 10/2014; 26(19):1968-1971. DOI:10.1109/LPT.2014.2343630 · 2.11 Impact Factor
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    • "Light is confined in the low index core due to the existence of the photonic bandgap (PBG) in the cladding. The guiding regime can also be described analytically by use of the antiresonant reflecting optical waveguide (ARROW) model [10]–[12]. According to this model, the optical properties of allsolid MOFs are governed largely by the thickness and the refractive-index contrast of the first highindex layer rather than by the periodic arrangement of the alternating layers [13]. "
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    IEEE Photonics Journal 08/2013; 5(4):2202206-2202206. DOI:10.1109/JPHOT.2013.2271714 · 2.21 Impact Factor
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    • "Many simulation methods have been applied to study PCF, including the beam propagation method [1] [12], the multipole method [18] [19], the scattering matrix method [10] and the finite element method (FEM) [15]. "
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    ABSTRACT: A boundary integral equation for the eigenmode of photonic crystal fibers is formulated and numerically solved using the Nyström method. The real and imaginary parts of the propagation constant, which are related to the dispersion and the confinement loss of fibers, are obtained using a secant method. This formulation is very flexible to handle the fiber geometry, and therefore can be applied to photonic crystal fibers with novel refractive index profile and hole geometry.
    Journal of Scientific Computing 08/2006; 28(2-3):263-278. DOI:10.1007/s10915-006-9080-1 · 1.70 Impact Factor
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