Joint control of coherent transmission, reflection, and absorption
arXiv:2511.04788 · doi:10.1103/nw8t-326d
Abstract
Controlling multiple wave properties simultaneously poses a key challenge in coherent control of wave transport. We present a theory for joint coherent control of transmission, reflection, and absorption in linear systems. We prove that the numerical range provides the mathematical structure governing achievable responses, and reveal non-abelian effects due to non-commutativity between transmission, reflection, and absorption matrices. We provide an algorithm to achieve arbitrary target responses. Our results establish a theoretical foundation for joint coherent control of waves.
12 pages, 7 figures, including appendices
References in corpus (51)
- Measuring the Transmission Matrix in Optics : An Approach to the Study and Control of Light Propagation in Disordered Media
- Coherent Perfect Absorbers: Time-reversed Lasers
- Wavefront Modulation and Subwavelength Diffractive Acoustics with an Acoustic Metasurface
- Light fields in complex media: mesoscopic scattering meets wave control
- Focusing and Compression of Ultrashort Pulses through Scattering Media
- Phase control algorithms for focusing light through turbid media
- Coherent perfect absorbers: linear control of light with light
- Universal optimal transmission of light through disordered materials
- Levitodynamics: Levitation and control of microscopic objects in vacuum
- Observation of coherent perfect absorption at an exceptional point
- Near-field radiative heat transfer between macroscopic planar surfaces
- A Photonic Crystal Slab Laplace Differentiator
- Control of light transmission through opaque scattering media in space and time
- Recent advances in wavefront shaping techniques for biomedical applications
- Shaping speckles: spatio-temporal focussing of an ultrafast pulse through a multiply scattering medium
- Perfectly absorbing exceptional points and chiral absorbers
- Waves, modes, communications and optics
- Spatiotemporal coherent control of light through a multiply scattering medium with the Multi-Spectral Transmission Matrix
- Coherent control of total transmission of light through disordered media
- Spatio-temporal Control of Light Transmission through a Multimode Fiber with Strong Mode Coupling
- Full transmission and reflection of waves propagating through a maze of disorder
- Transmission eigenvalues and the bare conductance in the crossover to Anderson localization
- Focusing inside Disordered Media with the Generalized Wigner-Smith Operator
- Focusing light through dynamical samples using fast closed-loop wavefront optimization
- Polarization control of multiply-scattered light through random media by wavefront shaping
- Coherent perfect absorption of nonlinear matter waves
- Focusing of light energy inside a scattering medium by controlling the time-gated multiple light scattering
- Violating Kirchhoff's Law of Thermal Radiation in Semitransparent Structures
- Ultrahigh enhancement of light focusing through disordered media controlled by Megapixel modes
- Customized anti-reflection structure for perfect transmission through complex media
- Scattering invariant modes of light in complex media
- Transmission eigenchannels and the densities of states of random media
- Perfect Absorption in Complex Scattering Systems with or without Hidden Symmetries
- The Single-Channel Regime of Transport through Random Media
- Controlling light in complex media beyond the acoustic diffraction-limit using the acousto-optic transmission matrix
- Deterministic light focusing in space and time through multiple scattering media with a Time-Resolved Transmission Matrix approach
- Isotropic Topological Second-Order Spatial Differentiator Operating in Transmission Mode
- Polarization-independent isotropic nonlocal metasurfaces with wavelength-controlled functionality
- Coherent control of photocurrent in a strongly scattering photoelectrochemical system
- Optimized Analog Information Multiplexing Across Custom-Tailored MetaCavity Configurations
- Wavefront Shaping with a Tunable Metasurface: Creating Coldspots and Coherent Perfect Absorption at Arbitrary Frequencies
- Control of mesoscopic transport by modifying transmission channels in opaque media
- Reflectionless excitation of arbitrary photonic structures: A general theory
- Fluctuations and correlations of transmission eigenchannels in diffusive media
- Optimal Cooling of Multiple Levitated Particles through Far-Field Wavefront-Shaping
- Statistics and control of waves in disordered media
- Unitary control of partially coherent waves. I. Absorption
- Novel Topology and Manipulation of Scattering Singularities in Complex non-Hermitian Systems
- Unitary control of partially coherent waves. II. Transmission or reflection
- Creating high-contrast patterns in multiple-scattering media via wavefront shaping
- Topological winding guaranteed coherent orthogonal scattering