Analysis of in-plane wave propagation in periodic structures with Sierpinski-carpet unit cells
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2017.02.020
Abstract: Abstract In this study, the dispersion relationships and characteristics of directional periodic structure waveguides with Sierpinski carpet unit cells were investigated. Finite element method was used to analyze the Sierpinski-carpet periodic structures with square Pb… read more here.
Keywords: sierpinski carpet; periodic structures; carpet unit; unit cells ... See more keywords
GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE
Sign Up to like & getrecommendations! Published in 2020 at "Fractals"
DOI: 10.1142/s0218348x20501200
Abstract: In this paper, we study geodesics in the Sierpinski carpet and Menger sponge, as well as in a family of fractals that naturally generalize the carpet and sponge to higher dimensions. In all dimensi... read more here.
Keywords: sponge; menger sponge; carpet; sierpinski carpet ... See more keywords
Spatial Search on Sierpinski Carpet Using Quantum Walk
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Physical Society of Japan"
DOI: 10.7566/jpsj.87.085003
Abstract: We investigate a quantum spatial search problem on a fractal lattice. A recent study for the Sierpinski gasket and tetrahedron made a conjecture that the dynamics of the search on a fractal lattice is determined… read more here.
Keywords: sierpinski carpet; search sierpinski; spatial search;