Open Access
Table 1
Definitions of main quantities.
| Symbol | Quantity |
|---|---|
| a | Amplitude of the received wave |
| E, F | Complete elliptic integrals of the second and first kind, respectively (Eq. (59)) |
| Fr | Fresnel function (e.g. Eqs. (30), (B.5)) |
| G(w) | [E(w) - (1-w2) F(w)]/w |
| H | Scale height of isothermal atmosphere |
| I | Radiance of the stellar disk (e.g. Eqs. (E.4), (E.8)) |
| Jn | Bessel function of first kind and nth order (Eq. (2)) |
| K | Molecular refractivity |
| ng | Molecular number density |
| r | Distance of observer to shadow center (Fig. 1) |
| R | Closest approach of stellar ray to body center (Fig. 1) |
| RCF | Radius of central flash layer |
| r*, D* | Apparent stellar radius and stellar diameter projected at occulter distance |
| Δ | Distance from observer to occulter |
| θ | Polar angle of ray at closest approach to body center (Fig. 2) |
| λ | Wavelength in vacuum |
| λF | Fresnel scale (Eq. (15)), typical separations of Fresnel fringes |
| λP | Separation of Poisson fringes (Eq. (28)) |
| ν | Gas refractivity |
| ϕ | Phase of the received wave |
| φ(r) | Normalized stellar flux at r in the limits of geometrical optics and point-like star |
| φ⊥(r) | Same as Φ(r), but ignoring the focusing by limb curvature |
| χ | Angle intervening in the Rayleigh-Sommerfeld inclination factor (Fig. 2) |
| τ(R) | Integrated line of sight refractivity for a ray passing at R |
| ω | Bending of the stellar ray (Fig. 1) |
Notes. Certain quantities listed above have indices 1 or 2 when they refer to the primary and secondary images, respectively. Besides ⊥, various indices are used for φ(r), depending on the cases under study.
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