Analysis of light scattering off photonic crystal slabs in terms of Feshbach resonances

Evenor, Izhak; Grinvald, Eran; Lenz, F.; Levit, Shimon

doi:10.1140/epjd/e2012-30134-1

Cited by 5 publications

(7 citation statements)

References 42 publications

(78 reference statements)

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“…Dedicated numerical methods have been developed and optimized for their design, including the RCWA, the C‐method, or integral methods. Popular numerical algorithms such as FDTD or finite elements have also been used, and new analytical methods and fitting have also been suggested, for example, by modeling Feshbach resonances . The increase of computational power together with method optimizations and optimization algorithms is expected to enable the design of increasingly complex and realistic devices, closer to fabrication and industrial implementation .…”

Section: Discussionmentioning

confidence: 99%

“…Popular numerical algorithms such as FDTD or finite elements have also been used, and new analytical methods and fitting have also been suggested, for example, by modeling Feshbach resonances. [380] The increase of computational power together with method optimizations and optimization algorithms is expected to enable the design of increasingly complex and realistic devices, closer to fabrication and industrial implementation. [381] Fabrication methods based on laser interference lithography directly and efficiently produce the required periodic microscale or nanoscale patterns, while more versatile methods such as electron beam lithography have also been used.…”

Section: Discussionmentioning

confidence: 99%

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Recent Advances in Resonant Waveguide Gratings

Quaranta

Basset

Martin

et al. 2018

Laser & Photonics Reviews

312

199

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Resonant waveguide gratings (RWGs), also known as guided mode resonant (GMR) gratings or waveguide‐mode resonant gratings, are dielectric structures where these resonant diffractive elements benefit from lateral leaky guided modes from UV to microwave frequencies in many different configurations. A broad range of optical effects are obtained using RWGs such as waveguide coupling, filtering, focusing, field enhancement and nonlinear effects, magneto‐optical Kerr effect, or electromagnetically induced transparency. Thanks to their high degree of optical tunability (wavelength, phase, polarization, intensity) and the variety of fabrication processes and materials available, RWGs have been implemented in a broad scope of applications in research and industry: refractive index and fluorescence biosensors, solar cells and photodetectors, signal processing, polarizers and wave plates, spectrometers, active tunable filters, mirrors for lasers and optical security features. The aim of this review is to discuss the latest developments in the field including numerical modeling, manufacturing, the physics, and applications of RWGs. Scientists and engineers interested in using RWGs for their application will also find links to the standard tools and references in modeling and fabrication according to their needs.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Recent Advances in Resonant Waveguide Gratings

Quaranta

Basset

Martin

et al. 2018

Laser & Photonics Reviews

312

199

View full text Add to dashboard Cite

show abstract

“…As we consider that the zero diffraction order is the only propagative one, we can expect that the width of the resonance peak is mainly given by C q,0,q , and that C q,n,q for n = 0 plays a minor role. C q,0,q includes the q th harmonic of the permittivity of the grating, as it was already underlined in the literature concerning guided mode resonance gratings [20,[22][23][24].…”

Section: A Situation With One Resonant Order Onlymentioning

confidence: 99%

“…A vectorial model based on the Green's tensor formalism was presented in [34], but for the homogeneous problem and not the diffraction problem. The method we propose here is also based on the Green's tensor formalism and can be seen as further developments of [22] (which solves the scalar diffraction problem) and [34] (which solves the vectorial homogeneous problem).…”

Section: Introductionmentioning

confidence: 99%

Vectorial model for guided-mode resonance gratings

2018

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We propose a self-consistent vectorial method, based on a Green's function technique, to describe the Fano resonances that appear in guided mode resonance gratings. The model provides intuitive expressions of the reflectivity and transmittivity matrices of the structure, involving coupling integrals between the modes of a planar reference structure and radiative modes. These expressions are used to derive a physical analysis in configurations where the effect of the incident polarization is not trivial. We provide numerical validations of our model. On a technical point of view, we show how the Green's tensor of our planar reference structure can be expressed as two scalar Green's functions, and how to deal with the singularity of the Green's tensor.

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“…To overcome this problem, the Bragg grating and the grating coupler must be pulled apart, either vertically or horizontally. In the first case, the component is still a grating (theoretically infinite), and its properties are well understood thanks to the large amount of theoretical work on guided-mode resonance filters (GMRFs) reported in the literature [11][12][13]. The second case corresponds to a finite structure that was first suggested in 2008 for surface-normal emission [14,15], and is now known as a cavity resonator integrated guided-mode resonance filter (CRIGF).…”

Section: Introductionmentioning

confidence: 99%

Waveguide mode in the box with an extraordinary flat dispersion curve

2015

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The extraordinary flattening of the dispersion curve of the so-called cavity resonator integrated guided-mode resonance filters (CRIGFs) is analyzed and explained as due to the intramode coupling imposed by the external Bragg resonators. CRIGFs are composed of a grating coupler (guided-mode resonance filter, GMRF) put between two distributed Bragg reflectors (DBRs). They form a cavity box in which the excited guided mode is confined. This confinement provides resonances with small spectral width (smaller than 1 nm for optical wavelengths) and extraordinary wide angular acceptance (several degrees). At a first glance, one may think that similar performances could be obtained while putting the GMRF and the DBR one above the other, forming a so-called "doubly periodic" grating, as in this configuration also the DBR confines the mode. Yet, the angular acceptance of CRIGFs is an order of magnitude greater than in classical gratings, even with complex pattern. The aim of the present paper is to identify the phenomenon responsible for the extraordinary large angular acceptance of CRIGFs. We numerically calculate, for the first time to the best of our knowledge, the dispersion curve of the mode excited in the CRIGF. The dispersion curve shows a flat part, where the resonance wavelength is quasi-independent of the angle of incidence, and the flattening grows with the width of the Bragg reflector. We develop an approximate coupled four-wave model, which predicts the extraordinary flattening as a consequence of an additional coupling of the waveguide modes of the GMRF provided by the Bragg grating, that does not exist in the "doubly periodic" gratings.

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Analysis of light scattering off photonic crystal slabs in terms of Feshbach resonances

Cited by 5 publications

References 42 publications

Recent Advances in Resonant Waveguide Gratings

Recent Advances in Resonant Waveguide Gratings

Vectorial model for guided-mode resonance gratings

Waveguide mode in the box with an extraordinary flat dispersion curve

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