Multipole method for modeling linear defects in photonic woodpiles

Kan, Dougal J.; Asatryan, A. A.; Poulton, Christopher G.; Botten, L. C.

doi:10.1364/josab.27.000246

Cited by 7 publications

(16 citation statements)

References 25 publications

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“…2. This treatment is a major extension of [40,41] which have studied the woodpile structures where the unit-cell of the grating contains only one cylinder. It should be remarked that unlike the super-cell methods, the proposed method requires periodicity only in the directions of the gratings but not in the stacking direction and, thus, is applicable for a finite number of layers.…”

Section: Figurementioning

confidence: 99%

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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: Figurementioning

confidence: 99%

“…Then, the overall reflection and transmission coefficients can be obtained using recurrence relationships for the scattering matrices for a stack of s + 1 non-interpenetrating gratings [41]:…”

Section: Bi-periodic Gratings and Scattering Matrixmentioning

confidence: 99%

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Salary¹,

Jafar‐Zanjani²,

Mosallaei³

2017

PIER B

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“…Our simulation technique builds upon our significant experience simulating cylindrical grating [1] and cylindrical woodpile [2] structures. We use these techniques to simulate the desired structure, but with infinitely long cylinders.…”

Section: Methodsmentioning

confidence: 99%

Fast simulation of slab photonic crystal structures using modal methods

Chen

McPhedran

Asatryan³

et al. 2011

2011 International Quantum Electronics Conference (IQEC) and Conference on Lasers and Electro-Optics (CLEO) Pacific Rim Incorpo

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“…Since actual photonic crystal devices are three dimensional (3D) objects of finite size, the accurate modeling of these devices requires 3D numerical tools. Indeed, there is a great research interest in the development of numerical approaches for solving 3D scattering problems and over the past decade many new algorithms have been presented, such as finite element methods (FEM) [2][3][4], cylindrical harmonic expansion methods [5][6][7], boundary integral methods [8], Dirichlet-to-Neumann map methods [6] and modal expansion methods [9].…”

Section: Introductionmentioning

confidence: 99%