Test of the FDTD accuracy in the analysis of the scattering resonances associated with high-Q whispering-gallery modes of a circular cylinder

Boriskin, Artem; Boriskina, Svetlana V.; Rolland, Anthony; Sauleau, Ronan; Nosich, Alexander I.

doi:10.1364/josaa.25.001169

Cited by 54 publications

(31 citation statements)

References 27 publications

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“…This problem has been studied for many years and several different methods have been adopted for this purpose [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Some of these are general methods, such as the finite-difference time-domain (FDTD) method [11], finite-element method (FEM) [12], boundary-element method [13] and rigorous coupled waveguide analysis (RCWA) [14]. However, the unit-cell of such fabric structures might be extended over many optical wavelengths which inevitably leads to numerical models with enormous numbers of unknowns, considering small geometrical features that necessitate ultra-fine meshing.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Salary¹,

Jafar‐Zanjani²,

Mosallaei³

2017

PIER B

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Abstract-We develop an efficient semi-analytical technique to calculate the electromagnetic scattering from fabric structures modeled as crossed gratings of circular coated fibers of any material composition, arranged arbitrarily in yarns. The method relies on a matrix formulation based on multipole expansion for modeling conical scattering from uniaxial gratings of fibers, and employs a scattering matrix approach to obtain co-and cross-polarized transmission and reflection coefficients. The lattice sums are evaluated using an efficient adaptive algorithm based on Shank's transformation. The method can be employed for analyzing the scattering characteristics of fabric structures embedded in any arbitrary layered media. The validity of the method is verified through comparison with full-wave finite-difference time-domain simulations. A substantial performance gain is obtained, which makes the proposed method applicable to solve large-scale fabric structures.

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Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Salary¹,

Jafar‐Zanjani²,

Mosallaei³

2017

PIER B

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“…29,30 This is due to the extremely large computational domain in space and time required to model high quality modes. To treat such narrow resonances and their perturbations, we have recently developed 31 a rigorous perturbation theory called resonant state expansion (RSE) and applied it to planar optical resonators with different perturbations 32 as well as to spherical resonators reducible to effective onedimensional (1D) systems.…”

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confidence: 99%

Resonant state expansion applied to two-dimensional open optical systems

2013

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The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is applied to two-dimensional open optical systems. The analytically solvable homogeneous dielectric cylinder is used as unperturbed system, and its Green's function is shown to contain a cut in the complex frequency plane, which is included in the RSE basis. The complex eigenfrequencies of modes are calculated using the RSE for a selection of perturbations which mix unperturbed modes of different orbital momentum, such as half-cylinder, thin-film and thin-wire perturbation, demonstrating the accuracy and convergency of the method. The resonant states for the thin-wire perturbation are shown to reproduce an approximative analytical solution.

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“…In addition, frequency dependence and loss can be included in this method. Although there are some drawbacks mentioned for the accuracy of the conventional FDTD codes in the computation of the field patterns located near high-Q WGM resonances, but resonances with Q-factors up to 10 3 are still detectable with FDTD (Boriskin et al 2008). Band diagram calculations are tedious with the FDTD as the selection of the initial excitation field is important to excite all possible modes, e.g.…”

Section: Methods Of Numerical Simulationmentioning

confidence: 99%

Performance evaluation of photonic crystal ring resonators based optical channel add-drop filters with the aid of whispering gallery modes and their Q-factor

Tavousi

Mansouri-Birjandi

2014

Opt Quant Electron

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As a basic type of linear defects, the PhC ring resonators are considered the most fascinating elements to be used in photonics integrated circuits for applications such as dense wavelength division multiplexing and Optical filtering that are among the most important components of the telecommunication systems. This article proposes two different optical channel add-drop filters (CDFs) based on rod-type two-dimensional square-lattice all-circular photonic crystal ring resonator. In the studied ring-type PhC cavity, there are some modes that are analogous to whispering gallery (WG) modes. For the proposed all-circular PhC ring resonator, the WG-like mode with the azimuthal mode number m = 10, couples out from cavity to the drop waveguide. Although because of the absence of perfectly circular symmetry, these WG-like modes are not exactly degenerate but they form a close doublet. The normalized frequencies (a/λ) of the doublets of m = 10 are a/λ = 0.3684, and 0.3645 and their Q-factors are 1050, 866 respectively. By selecting appropriate coupling distance between the PhC ring resonator and side-coupled W 1 waveguide, the CDFs are formed. For a TM polarized Gaussian source, the drop efficiency of both filters is more than 99.8 % in the 1.535-1.625 μm wavelength interval. The photonic bandgap and the WG-like modes of the PhC ring resonator are calculated using the PWE method, and the Q-factor of modes and the transmission spectra of CDFs are calculated using 2D-FDTD method.

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Test of the FDTD accuracy in the analysis of the scattering resonances associated with high-Q whispering-gallery modes of a circular cylinder

Cited by 54 publications

References 27 publications

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Resonant state expansion applied to two-dimensional open optical systems

Performance evaluation of photonic crystal ring resonators based optical channel add-drop filters with the aid of whispering gallery modes and their Q-factor

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