This paper discusses beyond-the-horizon propagation of laser beams by means of scattering from clouds and hazes as applied to communication systems. Expressions for the information capacity of such a communication link are derived from consideration of the scattering properties of such clouds and hazes and from other system parameters. A more detailed investigation of the properties and potentialities of such a communication system seems warranted.T GENERAL HE TECHNIQUE of tropospheric scatter propagation has been applied to microwave communication links with considerable success. Over-thehorizon links operating on the common carrier bands with information bandwidths of about 10 Mc/s have been operated reliably. Microwave links of this type have reached an accommodation with the problems of diffraction loss, scatter loss, fading, noise, etc.What we will discuss here are the parameters of a laser-type beyond-the-horizon scatter communication link. The scattering medium will be atmospheric water in the form of clouds and hazes. Clouds in the earth's atmosphere are quite abundant. At any given time, about 50 per cent of the earth's surface is under cloud cover. In this paper we will use the term optical transmitter to imply a coherent or laser-type optical source, such as a gaseous or semiconductor laser.
DETAILED DISCCSSION OF AN OPTICAL SCATTER PROPAGATION LINK
Scatter From Clouds and HazesConsider a beam of light impacting upon a scattering medium consisting of spherical water droplets of various sizes. As the beam progresses through the medium, more and more of its energy is scattered in all directions by the water droplets. The angular distribution of the scattered light is a complicated function of the wavelength of the light and the size distribution of the water droplets.Statistics have been compiled on the size distribution of water drops in two types of haze and one type of cloud [l]. Figure 1 shows the absolute droplet distribution n ( r ) (units of ~m -~ p-l) as a function of radius r for three different atmospheric conditions.That is, the number of droplets per cubic centimeter of radius r to r+dr is given by n(r)dr. Curve HI shows a distribution M. King is presently with the Department of Electrical EngiManuscript received June 29; revised October 13, 1964.. neering, Columbia University, New York, N. Y., on leave from I T T Federal Labs., Nutley, N. J. S. Kainer is with ITT Federal Labs., Nutley, N. J. Io+ t I O ' w ) , cmJ$ IO' IO" Id' 0.01 0. I I .o IO r 1 P Fig. 1. Droplet distributions (after Deirmendjian [l]).for a haze indigenous to coastal areas, curve Hz shows the distribution for a typical continental haze, and curve Cl shows the density function for a cumulus cloud having a depth of 230 to 2100 m. To get the total scattering and absorption cross sections per unit volume of the cloud or haze, one has to integrate the single-particle cross sections of the M e scattering theory with respect to the appropriate distribution. The resultant cross section will be characteristic of singly scattered ra...