An Algorithm for Beam Propagation Method in Matrix Form

Hsiao, Chin-Sung; Wang, Likarn; Chiang, Yi‐Hsuan

doi:10.1109/jqe.2009.2029066

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…The index of refraction of each core is assumed very close to that of free space with a difference of 0 approximately where n 0 = 1.0 for free space. Beam propagation method (BPM) with transparent boundary conditions (TBC) are employed to solve for the propagating optical vortex beam in the proposed multicore fiber [13][14][15]. Different parameters are also considered in the solutions such as number of cores, core size and their distances from each other.…”

Section: Formulation and Methodsmentioning

confidence: 99%

Vortex Field Propagation in a Hexagonal Multicore Fiber Array

Mushref¹

2014

OPJ

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The propagation of an optical vortex in a hexagonally arranged single mode multicore fiber structure is investigated for possible generation of additional vortices and their spread dynamics. Fields are separated into a slowly varying paraxial envelope and a rapidly changing exponential component. Solutions are derived from the paraxial inhomogeneous Schrodinger equation in two dimensions along with the index of refraction of the proposed structure. Numerical analyses are based on the beam propagation method and transparent boundary conditions in matrix form with different parameters to represent the intensity and phase of all derived fields. Vortices are numerically identified by their points of zero intensity and their phase change or polarity. The optical interferogram with a plane wave reference is also employed to distinguish the dislocation points in the transverse directions of the propagating fields.

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Section: Formulation and Methodsmentioning

confidence: 99%

Vortex Field Propagation in a Hexagonal Multicore Fiber Array

Mushref¹

2014

OPJ

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An Efficient Numerical Full-Vectorial Mode Solver Based on Fourier Series Expansion Method

et al. 2014

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A new algorithm of full-vectorial eigenmode solver is presented, which is utilized to determine the modal index of dielectric optical waveguides. The approach is based on the Fourier cosine and sine series expansions of the magnetic field distributions and the refractive index profile. By substituting these series expansions in the wave equation, a pair of second-order differential matrix equations is obtained by collecting all the terms with the same spatial frequency. With boundary conditions used, a matrix equation with a dimension of ðN þ 1Þ by ðN þ 1Þ, where N is the number of terms for truncated series, is obtained, which can be easily solved by using the Newton-Raphson root-shooting algorithm. The presented scheme requires considerably less computational time and memory storage by only considering the finite terms of the Fourier cosine/ sinusoidal series. Calculated results by our proposed method are in good agreement with those obtained by BeamPROP and COMSOL and compare well with other available methods, demonstrating the accuracy and efficiency and also the applicability of our proposed method.

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An Algorithm for Beam Propagation Method in Matrix Form

Cited by 2 publications

References 13 publications

Vortex Field Propagation in a Hexagonal Multicore Fiber Array

Vortex Field Propagation in a Hexagonal Multicore Fiber Array

An Efficient Numerical Full-Vectorial Mode Solver Based on Fourier Series Expansion Method

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