Image dipole at a perfect mirror (Drexhage; Chance, Prock & Silbey)

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Reference: image dipole at a perfect mirror (Drexhage; Chance, Prock & Silbey)
Kind: analytic: a closed form, limit or conservation law: independent of any code
Calculated: perpendicular and parallel rates, electric and magnetic; validates the Sommerfeld reference below
Agreement: 1e-10; observed 1e-15

A dipole above a perfect mirror: the Sommerfeld reference against the image dipole (Drexhage; Chance, Prock & Silbey) This row checks the reference, not PyStratify: the Sommerfeld integrals written without PyStratify (emitter_references.py), given a perfect mirror (r_s = −1, r_p = 1), must give the image dipole's closed form, Drexhage's oscillations; a magnetic dipole sees the mirror with the opposite sign. The same integrals are then PyStratify's reference for real stacks (the Sommerfeld row, 1e-10).

electric ⊥, Sommerfeld integrals electric , Sommerfeld integrals magnetic , Sommerfeld integrals electric ⊥, image dipole electric , image dipole magnetic , 2 − image dipole

Hover to read values.

largest |difference|: 1.55×10⁻¹⁵
PyStratify the lines, the reference the circles

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