Switching of transmission resonances in a two-channels coupler: A Boundary Wall Method scattering study

Nunes, A. M.; Zanetti, F. M.; Lyra, Marcelo L.

doi:10.1016/j.aop.2016.08.010

Cited by 9 publications

(2 citation statements)

References 21 publications

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“…Also, the BWM is valid in any spatial dimension (see, e.g., [12,19]). The BWM has been employed in many distinct applications, as for the investigation of matter waves [20][21][22], analysis of diverse optical processes [23][24][25][26] and description of certain nanostructure properties [18,27,28].…”

Section: Introductionmentioning

confidence: 99%

The flexibility in choosing distinct Green’s functions for the boundary wall method: waveguides and billiards

Teston¹,

Azevedo²,

Sales³

et al. 2022

J. Phys. A: Math. Theor.

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The boundary wall method (BWM) is a general purpose procedure to treat boundary value problems for wave equations, specially Helmholtz’s (the case addressed here). Similarly to most protocols for boundary value problems, the BWM may be computationally demanding for large borders C, at which the wave function must satisfies determined boundary conditions. Also, although an exact approach, it is rarely amenable to closed solutions. The BWM employs the Green’s function G 0 of the embedding domain V of C. However, in many instances — like for C modeling a billiard — the specific V is not really fundamental and thus one has a certain freedom to choose distinct domains and so G 0 ’s. Here we consider this characteristic of the BWM and show how to obtain some analytical results and solve numerically semi- infinite waveguides by exploring proper Green’s functions. Explicit calculations for Dirichlet and leaking boundaries for rectangular, triangular and trapezoidal structures are presented as well as scattering states within semi-infinite rectangular waveguides.

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Section: Introductionmentioning

confidence: 99%

The flexibility in choosing distinct Green’s functions for the boundary wall method: waveguides and billiards

Teston¹,

Azevedo²,

Sales³

et al. 2022

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…It was implemented, for example, to verify experimental results on the scattering of microwaves by a material with negative refraction index [35]. Also, it is used in the study of billiards, to find eigenstates and scattered states in waveguides [36][37][38] and as a validating method to verify exact solutions [23].…”

Section: Introductionmentioning

confidence: 99%