Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers

Abstract

We employ Random Matrix Theory in order to investigate coherent perfect absorption (CPA) in lossy systems with complex internal dynamics. The loss strength ${\gamma }_{\mathrm{CPA}}$ and energy $E_{\mathrm{CPA}}$, for which a CPA occurs are expressed in terms of the eigenmodes of the isolated cavity -- thus carrying over the information about the chaotic nature of the target -- and their coupling to a finite number of scattering channels. Our results are tested against numerical calculations using complex networks of resonators and chaotic graphs as CPA cavities.

arXiv commentSupplementary material is included. Updated version with minor modifications

References in corpus (20)

• A Perfect Metamaterial Absorber
• Random-Matrix Theory of Quantum Transport
• Anderson Transitions
• Coherent Perfect Absorbers: Time-reversed Lasers
• Exploiting disorder for perfect focusing
• The Statistical Theory of Quantum Dots
• Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
• Controlling light-with-light without nonlinearity
• A Circuit-based Model for the Interpretation of Perfect Metamaterial Absorbers
• PT-Symmetric Electronics
• Experimental simulation of quantum graphs by microwave networks
• Chaotic Scattering on Graphs
• Hidden Black: Coherent Enhancement of Absorption in Strongly-scattering Media
• Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
• Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance
• Scars on quantum networks ignore the Lyapunov exponent
• Topological Resonances in Scattering on Networks (Graphs)
• Spectral properties of microwave graphs with local absorption
• Coherent perfect absorption in photonic structures
• Random matrix approaches to open quantum systems

Cited by in corpus (33)

• Coherent perfect absorbers: linear control of light with light
• Meta-Programmable Analog Differentiator
• Perfect Absorption in a Metasurface-Programmable Complex Scattering Enclosure
• Massively degenerate coherent perfect absorber for arbitrary wavefronts
• Perfect Absorption in Complex Scattering Systems with or without Hidden Symmetries
• Coherent wave control in complex media with arbitrary wavefronts
• Reflectionless Programmable Signal Routers
• Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results
• Transmission zeros and ultrasensitive detection in complex systems
• Towards a Broad-Band Coherent Perfect Absorption in systems without Scale-Invariance
• On-demand coherent perfect absorption in complex scattering systems: time delay divergence and enhanced sensitivity to perturbations
• Exceptional points of PT-symmetric reflectionless states in complex scattering systems
• Wavefront Shaping with a Tunable Metasurface: Creating Coldspots and Coherent Perfect Absorption at Arbitrary Frequencies
• Generalization of Wigner Time Delay to Sub-Unitary Scattering Systems
• Adiabatic Thermal Radiation Pumps for Thermal Photonics
• Statistics of Complex Wigner Time Delays as a counter of S-matrix poles: Theory and Experiment
• Use of Transmission and Reflection Complex Time Delays to Reveal Scattering Matrix Poles and Zeros: Example of the Ring Graph
• Coherent virtual absorption of light in microring resonators
• Floquet Perfect Absorbers based on Periodically Driven Targets
• Chaotic Scattering with Localized Losses: S-Matrix Zeros and Reflection Time Difference for Systems with Broken Time Reversal Invariance
• Reflection Time Difference as a probe of S-matrix Zeroes in Chaotic Resonance Scattering
• High-order spectral singularity
• Classification and prediction of wave chaotic systems with machine learning techniques
• Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities
• Unitary Scattering Protected by Pseudo-Hermiticity
• Statistical Design of Chaotic Waveforms with Enhanced Targeting Capabilities
• Chiral phase modulation and tunable broadband perfect absorber using the coherent cold atomic ensemble
• Nonlinearity-induced Scattering Zero Degeneracies for Spectral Management of Coherent Perfect Absorption in Complex Systems
• Scattering Statistics in Nonlinear Wave Chaotic Systems
• Superuniversal Statistics of Complex Time-Delays in Non-Hermitian Scattering Systems
• Random matrix approach to plasmon resonances in the random impedance network model of disordered nanocomposites
• Robust Wave Splitters Based on Scattering Singularities in Complex non-Hermitian Systems
• Universal Frequency Correlations and Recurrence Statistics of Complex Impedance Matrices