We present and compare observations of M82 in the H41 alpha (92.0344 G
Hz), H29 alpha (256.3022 GHz), H27 alpha (316.4156 GHz), and H26 alpha
(354.5055 GHz) radio recombination lines (RRLs) of hydrogen. The H41
alpha observations were made with the Millimeter Array of the Owens Va
lley Radio Observatory and the others with the James Clerk Maxwell Tel
escope. A comparison is made between the distributions of H41 alpha an
d the 92 GHz continuum and the HCO+ (1-0) emission at 89.1885 GHz, bot
h of which were observed simultaneously with H41 alpha. The distributi
on of H41 alpha at 4 '' resolution is remarkably different from that o
f the underlying continuum, considering that both are expected to refl
ect the distribution of ionized gas. Differences are also noted betwee
n the H41 alpha distribution and that of other ionized gas indicators,
which agree more with the continuum. The H41 alpha emission appears m
ore clumpy and reveals bright regions with an anomalous ratio of line
to continuum. In addition, there is a systematic variation of line-to-
continuum ratio perpendicular to the inner disk of M82. The H41 alpha
brightness distribution, however, shows a similarity to the HCO+ emiss
ion and hence to the distribution of dense molecular gas. There exist
also peculiar kinematic effects with velocity deviations of up to 150
km s(-1) from normal rotation. We interpret the intensities and the ki
nematics of H41 alpha emission in terms of two ionized components: (1)
a layer exhibiting spontaneous emission with a comparatively high fil
ling factor and a temperature near 10,000 K, and (2) a layer of compac
t (less than or equal to 1 pc) dense (n(e) > 10(4.5) cm(-3)) regions w
ith a small filling factor exhibiting primarily stimulated emission. T
he latter regions may either be compact H II regions or clouds of mole
cular gas ionized by shocks resulting from interaction between molecul
ar clouds and the outflowing wind from the starburst region.Comparison
s between spectra at H41 alpha and the higher frequency transitions sh
ow that while most of the millimeter RRL emission in M82 is consistent
with spontaneous emission, some regions may emit predominantly by mas
er amplification at H27 alpha. This is especially the case at the tang
ent point of the molecular ring on the west side of the nucleus, where
H27 alpha appears anomalously strong compared to H41 alpha in the ran
ge -30 to +100 km s(-1). This is also the region in which large veloci
ty deviations are seen at H41 alpha. Thus, stimulated emission may als
o be present at submillimeter wavelengths, which would require even hi
gher densities. Analysis of the frequency dependence of the global lin
e luminosities indicates no large departures from spontaneous emission
in the slope of the relation. However, the foregoing results indicate
that a significant fraction of the line flux may be stimulated, and t
hat the stimulated fraction may remain roughly constant with frequency
in the millimeter region.