For systems governed by spin dynamics (e.g., magnonic lattices or thin YIG films), Brillouin Light Scattering (BLS) and Time-Resolved Magneto-Optical Kerr Effect (TR-MOKE) are primary tools:
Brillouin Light Scattering (BLS):
Probes spin-wave spectra via inelastic scattering of incident photons
Resolves momentum kkk and frequency \omega components
Enables mapping of dispersion relation evolution as a function of injected pulses
Time-Resolved MOKE (TR-MOKE):
Provides femtosecond-scale temporal resolution
Directly detects magnetization vector dynamics in real space
Capable of identifying localized spin precession zones (soliton-like formations)
Key Outcomes:
Reconstruction of field I(x,t)I(x,t)I(x,t) amplitude and frequency
Detection of mode splitting, nonlinear broadening, and phase locking
2. Optical and Digital Holography / Interferometry
In photonic or opto-mechanical systems, interferometric methods offer direct access to the phase and curvature information encoded in the evolving field:
Digital Holography:
Captures both amplitude and phase of light wavefronts
Enables real-time reconstruction of energy density topology
Particularly effective in detecting vortex cores, curvature spikes, and bubble-like structures
Mach--Zehnder or Michelson Interferometry:
Measures differential phase shifts caused by curvature emergence
Can detect gravitational-analog effects like field lensing or deformation
Effective in mapping localized refractive index shifts as proxy for geometric warping
These methods offer a direct analogy to cosmological lensing and metric tensor gradients in emergent geometries.
3. Quantum Sensing for Fine-Scale Field Structures
