Wm. Farrell, THE HELIOSPHERIC CAVITY RADIO-EMISSION - GENERATION OF DISCRETE TONESBY FERMI ACCELERATION VIA OSCILLATING BOUNDARY, Geophysical research letters, 20(19), 1993, pp. 2011-2014
A theory is presented that describes the formation of the discrete rad
io tones that could apply to the radio emission observed in the outer
heliosphere by the Voyager spacecraft. Specifically, a broadband emiss
ion is assumed to be trapped within the heliospheric cavity. If the he
liospheric outer boundary, the heliopause, has a large-scale, monochro
matic oscillation, the trapped emission will form intense, discrete to
nes at wave frequencies where the photon travel time is an integer rat
io of the boundary oscillation period. A new set of nonlinear coupled
difference equations am presented that describe the interaction of the
trapped photon with the boundary, the set appearing similar to that u
sed to model Fermi acceleration of particles via oscillatory boundarie
s. Results indicate that heliopause oscillation periods on the order o
f 1000s of seconds could generate tones at frequencies near those obse
rved by Voyager. The tones can also drift in association with the chan
ging cavity size or oscillation period.