Vectorial model for guided-mode resonance gratings

Fehrembach, Anne-Laure; Gralak, Boris; Sentenac, Anne

doi:10.1103/physreva.97.043852

Cited by 5 publications

(4 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Most importantly the quantities γ, d, and C introduced in Eqs. (34,35) are not independent. The relationships between γ, d, and C can be established by performing the time reversal operation [36,37,44].…”

Section: Coupled Mode Theorymentioning

confidence: 97%

“…To construct the theory of the resonant response two approaches are merged together. The first one is a rigorous quasi-mode expansion technique which relies on the bio-orthogonal basis of the interaction matrix of the scattering system [30,31,32,33,34,35]. The second approach is coupled mode theory (CMT) [36,37,38] which proved itself as an efficient tool for approximating the resonant response of optical systems.…”

Section: Introductuionmentioning

confidence: 99%

See 1 more Smart Citation

Optical response induced by bound states in the continuum in arrays of dielectric spheres

Bulgakov

Максимов

2018

J. Opt. Soc. Am. B

View full text Add to dashboard Cite

We consider optical response induced by bound states in the continuum (BICs) in arrays of dielectric spheres. By combining quasi-mode expansion technique with coupled mode theory (CMT) we put forward a theory of the optical response by high-Q resonance surrounding BICs in momentum space. The central result are analytical expressions for the CMT parameters, which can be easily calculated from the eigenfrequencies and eigenvectors of the interaction matrix of the scattering systems. The results obtained are verified in comparison against exact numerical solutions to demonstrate that the CMT approximation is capable of reproducing Fano features in the spectral vicinity of the BIC. Based on the quasi-mode expansion technique we derived the asymptotic scaling law for the CMT parameters in the vicinity of the Γpoint. It is rigourously demonstrated that the line width in the CMT approximation exhibits different asymptotic behavior depending on the symmetry of the BIC.

show abstract

Section: Coupled Mode Theorymentioning

confidence: 97%

Section: Introductuionmentioning

confidence: 99%

Optical response induced by bound states in the continuum in arrays of dielectric spheres

Bulgakov

Максимов

2018

J. Opt. Soc. Am. B

View full text Add to dashboard Cite

show abstract

“…In the case of a GMRF, the transmission of the structure represents a Fanotype anomaly [12] that can be written as the sum of a non-resonant transmission (transmission by the multilayer stack) and a Lorentzian resonant term [13,14,15]:…”

Section: Phenomenological Theory For the Crigf Under Oblique Incidencementioning

confidence: 99%

Quasi-total backward reflection with a CRIGF under oblique incidence

et al. 2020

View full text Add to dashboard Cite

We report on a numerical study of Cavity Resonator Integrated Grating Filters (a grating coupler flanked with two distributed Bragg reflectors) under oblique incidence. At resonance, the diffracted energy is divided equally in four outcoupling directions, versus two directions only for the CRIGF under normal incidence and for the infinite grating coupler. We provide a simple model to demonstrate this fact. Then, we propose a configuration for which all the diffracted energy is reflected backward with respect to the direction of the incident beam, thus realizing a reflection filter free from specular reflectivity.

show abstract

“…The resulting polynomial equation system is in turn computationally more efficient to solve. A recently proposed vectorial Green's functionbased method shows how one can address the scattering due to large surface amplitudes with relative computational efficiency by approximating the Green's function in terms of a limited number of resonant contributions 30 . The complexity and computational costs of these ap-proaches, however, still tend to skyrocket when the number of resonant interactions is increased.…”

Section: Introductionmentioning

confidence: 99%

Perturbing beyond the shallow amplitude regime: Green’s function scattering formalism with Bloch modes

et al. 2019

View full text Add to dashboard Cite

We present a Bloch modes' based Green's function scattering formalism for cost efficient forward modelling of disordered binary surface textures. The usage of Bloch modes of an unperturbed reference ordered system as ansatz allows our formalism to address surface scattering beyond the shallow amplitude regime. The main advantage of our formalism is the possibility to utilize a small amount of plane waves to represent the assumed Bloch modes thereby reducing computational costs, while still allowing one to estimate the scattering response to all channels accessible by the disordered system. Benchmarking calculations discussed in the paper demonstrate how the usage of our Bloch modes ansatz provides an excellent estimate of the scattering response over an important regime of disorder. As an example of our method's strength, we examine an electrically decoupled binary light trapping texture and demonstrate how introducing disorder may improve light incoupling into the considered solar cell structure. arXiv:1809.00195v1 [physics.optics] 1 Sep 2018

show abstract

Vectorial model for guided-mode resonance gratings

Cited by 5 publications

References 42 publications

Optical response induced by bound states in the continuum in arrays of dielectric spheres

Optical response induced by bound states in the continuum in arrays of dielectric spheres

Quasi-total backward reflection with a CRIGF under oblique incidence

Perturbing beyond the shallow amplitude regime: Green’s function scattering formalism with Bloch modes

Contact Info

Product

Resources

About