Classification and Prediction of Wave Chaotic Systems with Machine Learning Techniques

Ma, Shukai; Xiao, Bo; Hong, Ronald; Addissie, Bisrat D.; Drikas, Zachary B.; Antonsen, Thomas M.; Ott, Edward; Anlage, Steven M.

doi:10.12693/aphyspola.136.757

Cited by 9 publications

(3 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Wave-chaotic phenomena have been studied in various systems, ranging from 1D graphs [1][2][3][4][5], 2D billiards [6][7][8][9][10][11][12] to 3D enclosures [13][14][15][16][17][18]. The statistical properties of many system quantities, such as the closed system eigenvalues and the open system scattering/impedance matrices, exhibit universal characteristics, which only depend on general symmetries (e.g., time-reversal, symplectic) and the degree of system loss.…”

Section: Introductionmentioning

confidence: 99%

Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs

Ma¹,

Antonsen²,

Ott³

et al. 2021

Preprint

View full text Add to dashboard Cite

The statistical properties of wave chaotic systems of varying dimensionalities and realizations have been studied extensively. These systems are commonly characterized by the statistics of the short-range and long-range eigenmode-spacing, and the one-point and two-point eigenfunction correlations. Here, we propose photonic crystal (PC) defect waveguide graphs as an alternative physical system for chaotic graph studies. Photonic crystal graphs have two novel features, namely an unusual dispersion relation for the propagating modes, and complex scattering properties of the junctions and bends. Recent studies reveal that chaotic graphs possess non-universal properties, which may be better analyzed and understood through eigenfunction analysis. Here we present numerically determined properties of an ensemble of such PC-graphs including both eigenfunction amplitude and eigenmode-spacing studies. Our proposed system is amenable to other statistical studies, and may be realized experimentally.

show abstract

Section: Introductionmentioning

confidence: 99%

Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs

Ma¹,

Antonsen²,

Ott³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…These systems are then well-described as raychaotic enclosures, where the trajectories of rays with slightly different initial conditions diverge exponentially with increasing number of bounces off the irregular walls and interior objects [12][13][14]. This ray-chaotic property has inspired research in diverse contexts such as acoustic [15][16][17] and microwave cavities [18][19][20][21][22][23][24], the spectral properties of atoms [25] and nuclei [26], quantum dot systems [27].…”

Section: Introductionmentioning

confidence: 99%

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures

Phang

Drikas

et al. 2020

Phys. Rev. Applied

View full text Add to dashboard Cite

The Random Coupling Model (RCM) has been successfully applied to predicting the statistics of currents and voltages at ports in complex electromagnetic (EM) enclosures operating in the short wavelength limit [1-4]. Recent studies have extended the RCM to systems of multi-mode aperturecoupled enclosures. However, as the size (as measured in wavelengths) of a coupling aperture grows, the coupling matrix used in the RCM increases as well, and the computation becomes more complex and time consuming. A simple Power Balance Model (PWB) can provide fast predictions for the averaged power density of waves inside electrically-large systems for a wide range of cavity and coupling scenarios. However, the important interference induced fluctuations of the wave field retained in the RCM are absent in PWB. Here we aim to combine the best aspects of each model to create a hybrid treatment and study the EM fields in coupled enclosure systems. The proposed hybrid approach provides both mean and fluctuation information of the EM fields without the full computational complexity of coupled-cavity RCM. We compare the hybrid model predictions with experiments on linear cascades of over-moded cavities. We find good agreement over a set of different loss parameters and for different coupling strengths between cavities. The range of validity and applicability of the hybrid method are tested and discussed.

show abstract

“…These systems are then well-described as ray-chaotic enclosures, where the trajectories of rays with slightly different initial conditions diverge exponentially with increasing number of bounces off the irregular walls and interior objects [11][12][13]. This ray-chaotic property has inspired research in diverse contexts such as acoustic [14][15][16] and microwave cavities [17][18][19][20][21][22][23], the spectral properties of atoms [24] and nuclei [25], quantum dot systems [26].…”

Section: Introductionmentioning

confidence: 99%

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures

Ma,

Phang,

Drikas

et al. 2020

Preprint

View full text Add to dashboard Cite

The Random Coupling Model (RCM) has been successfully applied to predicting the statistics of currents and voltages at ports in complex electromagnetic (EM) enclosures operating in the short wavelength limit [1][2][3][4]. Recent studies have extended the RCM to systems of multi-mode aperturecoupled enclosures. However, as the size (as measured in wavelengths) of a coupling aperture grows, the coupling matrix used in the RCM increases as well, and the computation becomes more complex and time consuming. A simple Power Balance Model (PWB) can provide fast predictions for the averaged power density of waves inside electrically-large systems for a wide range of cavity and coupling scenarios. However, the important interference induced fluctuations of the wave field retained in the RCM are absent in PWB. Here we aim to combine the best aspects of each model to create a hybrid treatment and study the EM fields in coupled enclosure systems. The proposed hybrid approach provides both mean and fluctuation information of the EM fields without the full computational complexity of coupled-cavity RCM. We compare the hybrid model predictions with experiments on linear cascades of over-moded cavities. We find good agreement over a set of different loss parameters and for different coupling strengths between cavities. The range of validity and applicability of the hybrid method are tested and discussed.

show abstract

Classification and Prediction of Wave Chaotic Systems with Machine Learning Techniques

Cited by 9 publications

References 49 publications

Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs

Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures

Contact Info

Product

Resources

About