Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real Materials
Phononic crystal waveguides (PnCW) have been of great interest due to their properties of manipulating or filtering the acoustic waves with which they interact. Similarly, the presence of the phenomenon of chaos in the classical transport of particles through billiards with analogous geometries has...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Akif AKGUL
2024-06-01
|
| Series: | Chaos Theory and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/3476666 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590386943492096 |
|---|---|
| author | Hugo Enrique Alva-medrano Héctor Pérez-aguılar Alejandro Bucio |
| author_facet | Hugo Enrique Alva-medrano Héctor Pérez-aguılar Alejandro Bucio |
| author_sort | Hugo Enrique Alva-medrano |
| collection | DOAJ |
| description | Phononic crystal waveguides (PnCW) have been of great interest due to their properties of manipulating or filtering the acoustic waves with which they interact. Similarly, the presence of the phenomenon of chaos in the classical transport of particles through billiards with analogous geometries has been investigated. With this in consideration, in the present work an acoustic system of a two-dimensional PnCW is modeled, composed of two plane-parallel plates and a periodic arrangement of circular cylindrical inclusions with acoustic surfaces of real materials. In this system, we use the numerical technique of the integral equation, which allows us to obtain the pressure field corresponding to the normal modes in a range of frequencies. In addition, spatial statistical properties of pressure intensity such as the autocorrelation function (ACF) and its standard deviation called correlation length were calculated. The results show that when the correlation length is very small, the system presents disordered patterns of field intensities. Thus under certain conditions, the system under consideration presents a chaotic behavior, similar to the corresponding classical system. |
| format | Article |
| id | doaj-art-4040caf37c0545a3866a18072eb2429d |
| institution | Kabale University |
| issn | 2687-4539 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj-art-4040caf37c0545a3866a18072eb2429d2025-01-23T18:19:50ZengAkif AKGULChaos Theory and Applications2687-45392024-06-016211112110.51537/chaos.13764241971Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real MaterialsHugo Enrique Alva-medrano0https://orcid.org/0009-0006-0076-2402Héctor Pérez-aguılar1https://orcid.org/0000-0002-8572-1485Alejandro Bucio2https://orcid.org/0009-0000-3295-4157Tecnológico Nacional de México/Instituto Tecnológico de MoreliaUniversidad Michoacana de San Nicolás de HidalgoUniversidad Michoacana de San Nicolás de HidalgoPhononic crystal waveguides (PnCW) have been of great interest due to their properties of manipulating or filtering the acoustic waves with which they interact. Similarly, the presence of the phenomenon of chaos in the classical transport of particles through billiards with analogous geometries has been investigated. With this in consideration, in the present work an acoustic system of a two-dimensional PnCW is modeled, composed of two plane-parallel plates and a periodic arrangement of circular cylindrical inclusions with acoustic surfaces of real materials. In this system, we use the numerical technique of the integral equation, which allows us to obtain the pressure field corresponding to the normal modes in a range of frequencies. In addition, spatial statistical properties of pressure intensity such as the autocorrelation function (ACF) and its standard deviation called correlation length were calculated. The results show that when the correlation length is very small, the system presents disordered patterns of field intensities. Thus under certain conditions, the system under consideration presents a chaotic behavior, similar to the corresponding classical system.https://dergipark.org.tr/en/download/article-file/3476666phononic crystak waveguideacoustic chaosintegral equation methodautocorrelation function |
| spellingShingle | Hugo Enrique Alva-medrano Héctor Pérez-aguılar Alejandro Bucio Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real Materials Chaos Theory and Applications phononic crystak waveguide acoustic chaos integral equation method autocorrelation function |
| title | Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real Materials |
| title_full | Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real Materials |
| title_fullStr | Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real Materials |
| title_full_unstemmed | Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real Materials |
| title_short | Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real Materials |
| title_sort | numerical analysis of chaos in a phononic crystal waveguide with circular inclusions of real materials |
| topic | phononic crystak waveguide acoustic chaos integral equation method autocorrelation function |
| url | https://dergipark.org.tr/en/download/article-file/3476666 |
| work_keys_str_mv | AT hugoenriquealvamedrano numericalanalysisofchaosinaphononiccrystalwaveguidewithcircularinclusionsofrealmaterials AT hectorperezaguılar numericalanalysisofchaosinaphononiccrystalwaveguidewithcircularinclusionsofrealmaterials AT alejandrobucio numericalanalysisofchaosinaphononiccrystalwaveguidewithcircularinclusionsofrealmaterials |