Amplitude-matrix superposition of plane waves

← Verification · Spheres · Focused beam
Reference
amplitude-matrix superposition of plane waves
Kind
method: an independent formulation inside this repo (a scattering matrix, a plane-wave superposition, a quadrature): proves the formulation
Calculated
detected power
Agreement
2e-8
A coated sphere (0.8/1.4 µm) under a focused beam (NA 0.6/0.2, collection 0.8/0.1): against plane-wave superposition The reference sums the sphere's amplitude matrix over a grid of incident and scattered directions in the pupil (focused_checks.py); PyStratify uses its closed-form beam coefficients. The incident power is 1.
2.533.544.555.5600.20.40.60.811.21.41.6λ [µm]power / incident
extinction, PyStratify scattering, PyStratify detected, PyStratify extinction, superposition of plane waves scattering, superposition of plane waves detected, superposition of plane waves
Hover to read values.
  • largest relative difference: 5.19×10⁻¹²
  • PyStratify the lines, the reference the circles

Run it yourself: focused_checks.py · test_focused.py · figures.py · FOCUSED_CHECKS.md on GitHub, PyStratify 97e52a9