The same reference on a weakly absorbing guide (k = 1e-3), quasi-poles as breakpoints

← Verification · Thin films · Point dipole
Reference
the same reference on a weakly absorbing guide (k = 1e-3), quasi-poles as breakpoints
Kind
method: an independent formulation inside this repo (a scattering matrix, a plane-wave superposition, a quadrature): proves the formulation
Calculated
rates 30–100 nm above two guides
Agreement
1e-8; observed ≤ 1.9e-13
A dipole above 200 nm of TiO₂ (n = 2.3 + 0.001i) on glass, 633 nm: against the Sommerfeld integrals with the guide's quasi-poles A guide with a little loss turns its guided poles into sharp quasi-poles just off the real axis; the reference integrates through them with their positions as breakpoints. The test asserts both guides at 50 nm to 1e-8.
501001502002503003504000.511.522.533.5height above the film [nm]Γ / Γ₀
perpendicular, PyStratify parallel, PyStratify perpendicular, Sommerfeld integrals parallel, Sommerfeld integrals
Hover to read values.
  • largest relative difference: 1.88×10⁻¹³
  • PyStratify the lines, the reference the circles

Run it yourself: emitter_references.py · test_planar_emission_references.py · figures.py on GitHub, PyStratify 97e52a9