1988
DOI: 10.1109/3.86
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Coupling coefficients for trapezoidal gratings

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Cited by 21 publications
(3 citation statements)
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“…Based on coupled waves theory [2], a perturbation analysis is used to obtain an expression of the coupling coefficient κ produced by the grating. We have used an analytic simplification [3] to evaluate κ as a function of the Bragg order, the duty cycle and the grating depth, as shown in figure 1. To optimize both modal discrimination and optical power, we have targeted a coupling coefficient κl around 1.25 [4].…”
Section: Modellingmentioning
confidence: 99%
“…Based on coupled waves theory [2], a perturbation analysis is used to obtain an expression of the coupling coefficient κ produced by the grating. We have used an analytic simplification [3] to evaluate κ as a function of the Bragg order, the duty cycle and the grating depth, as shown in figure 1. To optimize both modal discrimination and optical power, we have targeted a coupling coefficient κl around 1.25 [4].…”
Section: Modellingmentioning
confidence: 99%
“…Actually, limited by the manufacture process, the grating profile cannot keep rectangle with periodicity in macro-or nano-scale, and it is mostly with profile similar to sinusoid, triangle, or trapezoid. [11][12][13][14][15] Therefore, investigating the influence of grating profile on the radiation characteristics will facilitate the practical application of this kind of THz radiation source. In this paper, the graphene SPPs enhanced THz radiation from graphene coated dielectric grating with arbitrary profile excited by an electron bunch is theoretically studied.…”
Section: Introductionmentioning
confidence: 99%
“…As the number of partitioned layers increases, the coupling coefficient difference ratio is reduced drastically, and the coupling coefficient converges to a certain value. In the case of first-order gratings with a grating depth of 0.1 m, the ratio of the difference between the coupling coefficient , calculated by partitioning the grating region as five 5 uniform layers, and the coupling coefficient , calculated by 1 replacing the grating region as a single uniform layer, to is 1 less than 0.6% for trapezoidal gratings and less than 1.1% for triangular gratings. Figure 1 shows a schematic illustration of a five-layer slab waveguide with trapezoidal gratings.…”
Section: Introductionmentioning
confidence: 99%