Wave scattering properties of multiple weakly coupled complex systems

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

doi:10.1103/physreve.101.022201

Cited by 15 publications

(29 citation statements)

References 90 publications

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“…For coupled-cavity systems, the RCM multi-cavity treatment begins with the modeling of the fluctuating impedance matrix of each individual cavity [47]. These matrices relate the voltages and currents at the ports of a cavity.…”

Section: Iiib Rcm In the Hybrid Modelmentioning

confidence: 99%

“…With M connecting channels between cavities, the dimension of the above defined cavity impedance matrix becomes M × M . The matrix multiplications and inversions in the calculation of RCM multi-cavity formulations [47] thus have complexity which grows as O(M 2.4 ) using common algorithms [60]. Thus for large M , the computational cost of the RCM scales roughly as N × M 2.4 , where N represents the number of cavities in the system.…”

Section: Iiib Rcm In the Hybrid Modelmentioning

confidence: 99%

“…In contrast to the above mentioned methods, the RCM is able to describe the full probability distribution functions (PDFs) for voltages and currents at ports. An exemplary application of RCM is the simulation of the fluctuating impedance matrix based on minimal system information, namely a single-cavity loss parameter α (to be defined) and several system-specific features [2,3,[43][44][45][46][47]. The system-specific features include the radiation information of the ports (both emitting and absorbing), as well as short orbits inside the cavity.…”

Section: Introductionmentioning

confidence: 99%

“…For example, a circular shaped aperture whose diameter corresponds to four operating wavelengths allows ∼ 100 propagating modes, leading to M ∼ 100 ports in the RCM modelling of the interconnected cavities. A cavity with M ports is described by an (M × M ) matrix [1,3,47,50]. When large apertures are present, connecting multiple cavities, the RCM model can become cumbersome.…”

Section: Introductionmentioning

confidence: 99%

“…Third, the RCM is a Monte-Carlo method in which the matrices simulating the cavities are constructed for each realization, and many realizations may be required to get accurate statistical results. Finally, the matrices must be connected together which involves inverting the sub-matrices representing the sub-volumes inside a complex system for each realization [47]. There is thus a need to develop a simple statistical method that applies in cases where the apertures are larger than a wavelength, but small enough so that the two enclosures connected by the aperture can be considered as two separate volumes.…”

Section: Introductionmentioning

confidence: 99%

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Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures

Phang

Drikas

et al. 2020

Phys. Rev. Applied

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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.

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Section: Iiib Rcm In the Hybrid Modelmentioning

confidence: 99%

Section: Iiib Rcm In the Hybrid Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures

Phang

Drikas

et al. 2020

Phys. Rev. Applied

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Experimental Realization of Anti‐Unitary Wave‐Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics

Ma,

Anlage

2023

Advanced Optical Materials

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Working in analogy with topological insulators in condensed matter, photonic topological insulators (PTI) have been experimentally realized, and protected electromagnetic edge‐modes have been demonstrated in such systems. Moreover, PTI technology also emulates a synthetic spin‐1/2 degree of freedom (DOF) in the reflectionless topological modes. The spin‐1/2 DOF is carried by quantum valley Hall (QVH)/quantum spin Hall (QSH) interface modes created from the bianisotropic meta waveguide platform and realized both in simulation and experiment. The PTI setting is employed to build an ensemble of wave chaotic 1D metric graphs that display statistical properties consistent with Gaussian symplectic ensemble (GSE) statistics. The two critical ingredients required to create a physical system in the GSE universality class, the half‐integer‐spin DOF and preserved time‐reversal invariance, are clearly realized in the QVH/QSH interface modes. The anti‐unitary T‐operator is identified for the PTI Hamiltonian underlying the experimental realization. An ensemble of PTI‐edgemode metric graphs are proposed and experimentally demonstrated. Then, the Kramers degeneracy of eigenmodes of the PTI‐graph systems is demonstrated with both numerical and experimental studies. Further, spectral statistical studies of the edgemode graphs are studied, and good agreement with the GSE theoretical predictions is found. The PTI chaotic graph structures present an innovative and easily extendable platform for continued future investigation of GSE systems.

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Perfect absorption in complex scattering systems with or without hidden symmetries

Chen

Anlage

2020

Nat Commun

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Wavefront shaping (WFS) schemes for efficient energy deposition in weakly lossy targets is an ongoing challenge for many classical wave technologies relevant to next-generation telecommunications, long-range wireless power transfer, and electromagnetic warfare. In many circumstances these targets are embedded inside complicated enclosures which lack any type of (geometric or hidden) symmetry, such as complex networks, buildings, or vessels, where the hypersensitive nature of multiple interference paths challenges the viability of WFS protocols. We demonstrate the success of a general WFS scheme, based on coherent perfect absorption (CPA) electromagnetic protocols, by utilizing a network of coupled transmission lines with complex connectivity that enforces the absence of geometric symmetries. Our platform allows for control of the local losses inside the network and of the violation of time-reversal symmetry via a magnetic field; thus establishing CPA beyond its initial concept as the time-reversal of a laser cavity, while offering an opportunity for better insight into CPA formation via the implementation of semiclassical tools.

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Wave scattering properties of multiple weakly coupled complex systems

Cited by 15 publications

References 90 publications

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures

Experimental Realization of Anti‐Unitary Wave‐Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics

Perfect absorption in complex scattering systems with or without hidden symmetries

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