Sentences with phrase «corresponding wave function»

Not exact matches

The energy loss function represents the level of interaction between the material and electromagnetic waves, and is expressed in terms of the change in the amount of energy lost from electrons and the change in momentum due to corresponding scattering events occurring in the material.

The corresponding working quasilinear wave equation for the barotropic azonal stream function Ψm ′ of the forced waves with m = 6, 7, and 8 (m waves) with nonzero right - hand side (forcing + eddy friction) yields (34) u˜ ∂ ∂ x (∂ 2Ψm ′ ∂ x2 + ∂ 2Ψm ′ ∂ y2) + β˜ ∂ Ψm ′ ∂ x = 2Ω sin ϕ cos2 ϕT˜u˜ ∂ Tm ′ ∂ x − 2Ω sin ϕcos2 ϕHκu˜ ∂ hor, m ∂ x − (kha2 + kzH2)(∂ 2Ψm ′ ∂ x2 + ∂ 2Ψm ′ ∂ y2), [S3] where x = aλ and y = a ln -LSB-(1 + sin ϕ) / cos ϕ] are the coordinates of the Mercator projection of Earth's sphere, with λ as the longitude, H is the characteristic value of the atmospheric density vertical scale, T˜ is a constant reference temperature at the EBL, Tm ′ is the m component of azonal temperature at this level, u˜ = u ¯ / cos ϕ, κ is the ratio of the zonally averaged module of the geostrophic wind at the top of the PBL to that at the EBL (53), hor, m is the m component of the large - scale orography height, and kh and kz are the horizontal and vertical eddy diffusion coefficients.