  Zodiacal emission is thermal emission from interplanetary dust. Its
contribution to the sky brightness is non-negligible in the region near the
ecliptic plane, even in the far-infrared (far-IR) wavelength regime. We analyse
zodiacal emission observed by the AKARI far-IR all-sky survey, which covers 97%
of the entire sky at arcminute-scale resolution in four photometric bands, with
central wavelengths of 65, 90, 140, and 160 $\mu$m. AKARI detected small-scale
structures in the zodiacal dust cloud, including the asteroidal dust bands and
the circumsolar ring, at far-IR wavelengths. Although the smooth component of
the zodiacal emission structure in the far-IR sky can be reproduced well by
models based on existing far-IR observations, previous zodiacal emission models
have discrepancies in the small-scale structures compared with observations. We
investigate the geometry of the small-scale dust-band structures in the AKARI
far-IR all-sky maps and construct template maps of the asteroidal dust bands
and the circumsolar ring components based on the AKARI far-IR maps. In the
maps, $\pm 1.4\deg$, $\pm 2.1\deg$ and $\pm 10\deg$ asteroidal dust-band
structures are detected in the 65 $\mu$m and 90 $\mu$m bands. A possible $\pm
17\deg$ band may also have been detected. No evident dust-band structures are
identified in either the 140 $\mu$m or the 160 $\mu$m bands. By subtracting the
dust-band templates constructed in this paper, we can achieve a similar level
of flux calibration of the AKARI far-IR all-sky maps in the $|\beta| < 40\deg$
region to that in the region for $|\beta| > 40\deg$.
