  Evolutionary properties of infrared (IR) luminous galaxies are important keys
to understand dust-obscured star formation history and galaxy evolution. Based
on the near- to mid-IR imaging with 9 continuous filters of AKARI space
telescope, we present the characteristics of dusty star-forming (SF) galalxies
showing polycyclic aromatic hydrocarbon (PAH) features observed by the North
Ecliptic Pole (NEP) wide field survey of AKARI and Herschel. All the sample
galaxies from the AKARI/NEP-Wide data are selected based both on the
Herschel/SPIRE 250 {\mu}m detection and optical spectroscopic redshift data.
The physical modelling of spectral energy distribution (SED) using all
available data points from u to sub-mm 500 {\mu}m band, including WISE and PACS
data where available, takes unique advantages of the continuous near to mid-IR
coverage, reliable constraint on far-IR peak, spectroscopically determined
accurate redshifts, as well as energy balance principle by MAGPHYS. This
enables us to derive physically meaningful and accurate total infrared
luminosity and 8 {\mu}m (or PAH) luminosity consistently. Our sample galaxies
are in the redshift range z <1, and majority of them appear to be normal
SF/spiral populations showing PAH features near the 8 {\mu}m. These SF galaxies
showing PAHs in the mid-IR include various types from quiescent to starbursts.
Some of our sample show shortage of 8 {\mu}m luminosity compared to the total
IR luminosity and this PAH deficit gets severe in more luminous IR galaxies,
suggesting PAH molecules in these galaxies destroyed by strong radiation field
from SF region or a large amount of cold dust in ISM. The specific SFR of our
sample shows mass dependent time evolution which is consistent with downsizing
evolutionary pattern.
