Published small chiral sphere polarisabilities

← Verification · Spheres · Plane wave
Reference
published small chiral sphere polarisabilities
Kind
paper: a published number or figure
Calculated
α_ee, α_em, α_mm
Agreement
1e-4 (quasi-static)
A small chiral sphere (k a = 0.001, ε = −4 + 0.3i, μ = 1): the dipole block against Guzatov & Klimov's quasi-static polarisabilities Guzatov & Klimov, New J. Phys. 14, 123009 (2012), Eq. 48: the electric, magnetic and cross polarisabilities of a Drude–Born–Fedorov sphere, against the order-1 block of PyStratify's chiral T-matrix (agreement to (ka)² = 1e-6). The cross term vanishes without chirality; the test also covers magnetic (μ ≠ 1) spheres.
-0.2-0.15-0.1-0.0500.050.10.150.200.511.52chirality χ|T| / k³a³
|TEE (electric)|, PyStratify |THH (magnetic)|, PyStratify |TEH (cross, chiral)|, PyStratify |TEE (electric)|, Eq. 48 |THH (magnetic)|, Eq. 48 |TEH (cross, chiral)|, Eq. 48
Hover to read values.
  • largest difference relative to each curve's peak: 2.82×10⁻⁶
  • PyStratify the lines, the reference the circles

Run it yourself: sphere_checks.py · test_chiral.py · figures.py · SPHERE_CHECKS.md on GitHub, PyStratify 97e52a9