Design and Analysis of High-Index-Contrast Gratings Using Coupled Mode Theory

Ahmed, Ausama Hadi; Liscidini, Marco; Gordon, Reuven

doi:10.1109/jphot.2010.2079322

Cited by 16 publications

(6 citation statements)

References 21 publications

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“…In this situation the response is characterized with a very broad bandwidth of high reflectivity. This particular physical picture has been confirmed in literature using similar couple-mode approaches [12]- [15].…”

Section: Design Of Hcg Mirrorssupporting

confidence: 78%

“…These formalisms rely on the expansion using periodic waveguide modes as the basis for the field representation in the grating region and have been developed in several versions under the name as the coupled mode [1], [13] or the coupled Bloch-mode method [12]. Another version of the coupled mode approach has been derived in [15].…”

Section: B Modeling Hcgs: Coupled Mode Theory (Cmt)mentioning

confidence: 99%

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MEMS mirrors using sub-wavelength High- Contrast-Gratings with asymmetric unit cells

Maksimović¹

2016

ELS

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High-contrast gratings (HCG) are ultra-thin elements operating in sub-wavelength regime with the period of the grating smaller than the wavelength and with the high-index grating material fully surrounded by low-index material. Design of MEMS mirrors made from HCG with specific reflectivity response is of great practical interest in integrated optoelectronics. We theoretically investigate design of the spectral response for HCGs with the complex unit cells. We show that the spectral response can be tailored via the unit cell perturbations and with the asymmetric unit cell perturbations may introduce completely new spectral response. Our results can serve as guidance for the design of the complex HCGs and help with the choice of the efficient initial grating topology prior to global optimization procedure.

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Section: Design Of Hcg Mirrorssupporting

confidence: 78%

Section: B Modeling Hcgs: Coupled Mode Theory (Cmt)mentioning

confidence: 99%

MEMS mirrors using sub-wavelength High- Contrast-Gratings with asymmetric unit cells

Maksimović¹

2016

ELS

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“…where 1 j denotes the j(2N + 1) × j(2N + 1) unit matrix, with j an integer. Introducing columns Ē± sc to describe the scattered fields, from (23) we then have…”

Section: A S-matrix Equationsmentioning

confidence: 99%

“…Over the years a wide range of approaches have arisen to treat such systems. These include guided-mode techniques such as coupled mode theory [16][17][18][19] , transfer matrix approaches 9 , and a variety of robust numerical techniques based on finite element and RCWA (scattering matrix) methods [20][21][22][23] .…”

Section: Introductionmentioning

confidence: 99%

Green's function method to study thin diffraction gratings

et al. 2017

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The anomalous features in diffraction patterns first observed by Wood over a century ago have been the subject of many investigations, both experimental and theoretical. The sharp, narrow structures -and the large resonances with which they are sometimes associated -arise in numerous studies in optics and photonics. In this paper we present an analytical method to study diffracted fields of optically thin gratings that highlights the nonanalyticities associated with the anomalies. Using this approach we can immediately derive diffracted fields for any polarization in a compact notation. While our equations are approximate, they fully respect energy conservation in the electromagnetic field, and describe the large exchanges of energy between incident and diffracted fields that can arise even for thin gratings. arXiv:1709.04951v1 [physics.optics]

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“…Karagodsky et al presented a simple analytic method to explain the multimode Fabry-Pérot resonance mechanism in resonant HCG [14]. Ahmed et al provided a coupled mode theory to design and analyze a high-Q HCG resonator with FR [15]. Hu et al developed a semi-analytical model for the analysis of HCG structures and investigated the FR with the proposed model [16].…”

Section: Introductionmentioning

confidence: 99%