“…Balloon observations of auroral X-rays still supply an attractive means to form X-ray images, owing to various advantages such as easier handling in launch, longer 389 observing time at a location, heavier allowable payload and economical cost (YAMAGAMI et al, 1978;MAUK et al, 1981;HIRASIMA et al, 1983HIRASIMA et al, , 1987a. In parallel with experimental works, some simulative and analytical investigations have been performed from the standpoint of a theoretical approach of X-ray diffusions through the atmosphere (PILKINGTON and ANGER, 1971;BERGER and SELTZER, 1972;OGURA and KODAMA, 1980).…”