Pseudounitary Floquet scattering matrix for wave-front shaping in time-periodic photonic media
arXiv:2403.19311 · doi:10.1103/PhysRevA.110.053515
Abstract
The physics of waves in time-varying media provides numerous opportunities for wave control that are unattainable with static media. In particular, Floquet systems with a periodic time modulation are currently of considerable interest. Here, we demonstrate how the scattering properties of a finite Floquet medium can be correctly described by a static Floquet scattering matrix, which satisfies a pseudounitary relation. This algebraic property is a consequence of the conservation of wave action for which we formulate here a continuity equation. Using this Floquet scattering matrix, we further demonstrate how it can be used to transfer concepts for wavefront-shaping based on the Wigner-Smith operator from static to Floquet systems. The eigenstates of the corresponding Floquet Wigner-Smith matrix are shown to be light pulses that are optimally shaped in both their spatial and temporal degrees of freedom for the optical micromanipulation of time-varying media.
Final version with restriction to reciprocal scattering systems removed
References in corpus (45)
- Measuring the Transmission Matrix in Optics : An Approach to the Study and Control of Light Propagation in Disordered Media
- Light fields in complex media: mesoscopic scattering meets wave control
- Revisiting time reversal and holography with spacetime transformations
- Controlling light in scattering media noninvasively using the photo-acoustic transmission-matrix
- Observation of Temporal Reflections and Broadband Frequency Translations at Photonic Time-Interfaces
- Reference-less measurement of the transmission matrix of a highly scattering material using a DMD and phase retrieval techniques
- Dynamics of light propagation in spatiotemporal dielectric structures
- Double-slit time diffraction at optical frequencies
- Shaping speckles: spatio-temporal focussing of an ultrafast pulse through a multiply scattering medium
- Roadmap on Wavefront Shaping and deep imaging in complex media
- Quantum mechanical time-delay matrix in chaotic scattering
- Non-Reciprocal gain in non-Hermitian time-Floquet Systems
- Metasurface-Based Realization of Photonic Time Crystals
- Non-invasive focusing and imaging in scattering media with a fluorescence-based transmission matrix
- Quantum Physics of Simple Optical Instruments
- Controlling light propagation in multimode fibers for imaging, spectroscopy and beyond
- Compressively sampling the optical transmission matrix of a multimode fibre
- Deterministic control of broadband light through a multiply scattering medium via the multispectral transmission matrix
- Time reversed optical waves by arbitrary vector spatiotemporal field generation
- Focusing inside Disordered Media with the Generalized Wigner-Smith Operator
- Learning and avoiding disorder in multimode fibers
- Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
- Optical Quadratic Measure Eigenmodes
- Sub-diffraction Focussing using Quadratic Measure Eigenmodes
- Optical Eigenmodes; Exploiting the quadratic nature of the energy flux and of scattering interactions
- Customized anti-reflection structure for perfect transmission through complex media
- Arbitrary linear transformations for photons in the frequency synthetic dimension
- Pseudo-Unitary Operators and Pseudo-Unitary Quantum Dynamics
- Optimal Wave Fields for Micro-manipulation in Complex Scattering Environments
- Transmission Properties of the oscillating delta-function potential
- Deterministic light focusing in space and time through multiple scattering media with a Time-Resolved Transmission Matrix approach
- Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media
- Floquet Scattering and Classical-Quantum correspondence in strong time periodic fields
- Frequency conversion cascade by crossing multiple space and time interfaces
- Layered optomagnonic structures: Time Floquet scattering-matrix approach
- Photonic modal circulator using temporal refractive-index modulation with spatial inversion symmetry
- Optimal Cooling of Multiple Levitated Particles through Far-Field Wavefront-Shaping
- Photon-efficient optical tweezers via wavefront shaping
- Floquet Scattering Theory based on Effective Hamiltonians of Driven Systems
- Focusing through random media in space and time: a transmission matrix approach
- Wave momentum shaping for moving objects in heterogeneous and dynamic media
- Optimal Cooling of Multiple Levitated Particles: Theory of Far-Field Wavefront-Shaping
- Wigner-Smith Time Delay Matrix for Acoustic Scattering: Theory and Phenomenology
- Tractor beams with optimal pulling force using structured waves
- Temporal shaping of wave fields for optimally precise measurements in scattering environments