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51.
Carolin Kreisbeck 《Applicable analysis》2013,92(6):1153-1191
Mathematical settings in which heterogeneous structures affect electron transport through a tube-shaped quantum waveguide are studied, highlighting the interaction between material composition and geometric parameters like curvature and torsion. First, the macroscopic behaviour of a nanowire made of composite fibres with microscopic periodic texture is analysed, which amounts to determining the asymptotic behaviour of the spectrum of an elliptic Dirichlet eigenvalue problem with finely oscillating coefficients in a tube with shrinking cross-section. A suitable formal expansion suggests that the effective one-dimensional limit problem is of Sturm–Liouville type and yields the explicit formula for the underlying potential. In the torsion-free case, these findings are made rigorous by performing homogenization and 3d–1d dimension reduction for the two-scale problem in a variational framework by means of Γ-convergence. Second, waveguides with non-oscillating inhomogeneities in the cross-section are investigated. This leads to explicit criteria for propagation and localization of eigenmodes. 相似文献
52.
A method for fabricating infrared‐transmitting waveguides that yields low optical losses and strong confinement of light is presented. The method minimises the number of fabrication steps by exploiting the photosensitivity of arsenic trisulfide glass, using it both as a photoresist and as a waveguiding material. Controlled annealing/remelting of the waveguides minimises scattering due to fluctuations in refractive index at the interface between the waveguide and the surrounding medium, allowing low losses to be realised. Bends and Y‐splitter structures have been realised, as well as the longest As2S3 serpentine planar waveguides yet reported. 相似文献
53.
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55.
We study the effect of a nearby phase-conjugate mirror (PCM) on the gap soliton of a Kerr non-linear periodic structure. We
show that phase conjugation of the gap soliton (in the sense of replication of the amplitude profile in the reverse direction)
is possible under the condition of PCM reflectivity approaching unity. This is in contrast with the results for linear structures,
where the wave profiles can be conjugated for arbitrary values of the PCM reflectivity. The sensitivity of the conjugation
of the gap solitons to PCM reflectivity is ascribed to the fine balance of non-linearity with dispersion, necessary for their
existence. 相似文献
56.
设计优化了用于截断二维正方格子介质柱光子晶体波导的分布布拉格反射波导的结构.二维时域有限差分数值模拟结果显示,在上述两种波导联接处的反射系数可以在大部分光子晶体波导导波的频谱范围内降到1%以下.将这种分布布拉格反射波导和通常的吸收边界条件相结合可以构成用于光子晶体波导的吸收边界条件,其反射率可以降低到-40dB以下,吸收层的厚度可取为晶格长度的1.3倍.
关键词:
吸收边界条件
光子晶体波导
时域有限差分 相似文献
57.
本文用Floquet理论分析了多量子阱(阱垒数N>>1)波导的传输和色散特性,给出了适用于TE和TM两种偏振态的等效三层平板波导芯子折射率的解析公式,该公式清楚地说明了多量子阱波导的本征双折射行为。 相似文献
58.
The trigonometric and Hermite-Gaussian basis functions for determining the modal characteristics of inhomogeneous optical waveguides by means of the Galerkin's method are presented and analyzed. The results obtained with each set of basis functions for mode spectra and field distributions are compared with other exact and approximate methods. The merits and problems arising with each set of basis functions are discussed. 相似文献
59.
The monolithic combination of active light sources with photonic crystal (PC) waveguide components is a key building block for future highly integrated photonic circuits. We demonstrate the coupling of light from an InGaAs/AlGaAs ridge waveguide laser to a monolithically integrated 2D PC waveguide. The PC guide is formed by removing three or five rows in a triangular lattice of air rods etched into the semiconductor. A tapered ridge waveguide geometry is demonstrated to improve coupling efficiency, so that maximum output powers of up to 10 mW from the PC waveguide are achieved. The resulting coupled cavity laser shows single mode emission with side mode suppression ratios > 35 dB over a broad range of injection currents. 相似文献
60.
In this work, we are interested in the numerical approximation of an eigenvalue problem arising from the computation of guided modes in integrated optics waveguides which are particular cases of open waveguides. 相似文献