Hitting Spheres with Brownian Motion and Sommerfeld′s Radiation Condition

AbstractBy taking the Laplace transform of the scalar wave equation an inhomogeneous problem of the Helmholtz type is obtained. For this problem a probabilistic representation of the solution exists. Using the hitting distribution of a sphere by Brownian motion, we show that this representation satisfies a Sommerfeld radiation condition

Heterodyne detection of CO2 emission lines and wind velocities in the atmosphere of Venus

Strong 10 micrometer line emission from (c-12)(o-16)2 in the upper atmosphere of Venus was detected by heterodyne techniques. Observations of the absolute Doppler shift of the emission features indicate mean zonal wind velocities less than 10 m/sec in the upper atmosphere near the equator. No evidence was found of the 100 m/sec wind velocity implied by the apparent 4-day rotation period of ultraviolet cloud features