1989
DOI: 10.1080/09500348914551351
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Interference Phenomena in Waveguides with Two Corrugated Boundaries

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Cited by 50 publications
(28 citation statements)
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“…The nanopores on the two sides of the metagrating can be regarded as two independent scattering objects that simultaneously diffract the resonant ridge mode into the slab mode. [ 32 ] Thus, the lateral leakage can be eliminated by building a destructive interference between the diffracted waves [ E L(±) and E R(±) ], as shown in Figure 1c,d. Here, E L(±) is the electric field scattered from the left nanopores, E R(±) is the electric field scattered from the right nanopores, (±) denotes the propagation direction of the diffracted slab mode.…”
Section: Design and Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…The nanopores on the two sides of the metagrating can be regarded as two independent scattering objects that simultaneously diffract the resonant ridge mode into the slab mode. [ 32 ] Thus, the lateral leakage can be eliminated by building a destructive interference between the diffracted waves [ E L(±) and E R(±) ], as shown in Figure 1c,d. Here, E L(±) is the electric field scattered from the left nanopores, E R(±) is the electric field scattered from the right nanopores, (±) denotes the propagation direction of the diffracted slab mode.…”
Section: Design and Analysismentioning
confidence: 99%
“…The diffraction strengths for the left and right nanopores are equal since the metagrating is symmetric, so the only issue is to control the phase transition over the ridge region (− w r /2 < x < w r /2). It should be noted that there is an intrinsic phase reversal between E L(±) and E R(±) [ 25,26,32 ] φfalse[EnormalLfalse(+false)false]=φfalse[EnormalLfalse(false)false]=π+φfalse[EnormalRfalse(+false)false]=π+φfalse[EnormalRfalse(false)false]Therefore, the phase transition should be 2 m π to build a destructive interference. Thus, the FP condition can be written as [ 16 ] mλnormalFP=ns,neffwnormalrwhere m is the interference order, λ FP is the interference wavelength, n s , eff is the effective index of the slab mode in the ridge region, w r is the ridge width.…”
Section: Design and Analysismentioning
confidence: 99%
“…Analytical formulas for radiation losses coefficients were derived using the first order Reyleigh-Fourier method Avrutsky et al, 1989. The waveguide structure ( Fig.…”
Section: Short Grating Schemementioning
confidence: 99%
“…The most common preferential grating couplers (used mostly for output grating couplers) are: (a) the volume holographic grating coupler (VHGC) originally proposed by Kogelnik and Sosnowski [13], which in the slanted case provides high coupling efficiency and high preferential coupling in integrated optics [4,14]; (b) the slanted parallelogramic surface-relief grating coupler (SPSRGC) proposed by Li and Sheard [15,16]; (c) the double-corrugated surface-relief grating coupler (DCSRGC) proposed by Avrutsky et al [17,18]; and (d) the reflecting-stack surface-relief grating coupler (RSSRGC) proposed by Roncone et al [19,20].…”
Section: Introductionmentioning
confidence: 99%