Per Ian Rappaport:

As mentioned above, Arians helped lead rookie quarterback Andrew Luck and the Colts to an impressive 11-5 record, after filling in due to the well-documented medical issues of head coach Chuck Pagano.

Here's the colts.com profile for Arians. Notables:

Arians comes to Indianapolis from the Pittsburgh Steelers, where he spent eight seasons, five as the offensive coordinator (2007-2011) and three as the wide receivers coach (2004-2006). As the offensive coordinator, the Steelers recorded a 55-25 record, which was tied for the second-best mark in the NFL with the Green Bay Packers. Pittsburgh also won three AFC North Division titles, two AFC Championships and were the victors of Super Bowl XLIII. Arians was also part of the Steelers’ Super Bowl XL Championship as the team’s wide receivers coach.

In 2009, the Steelers’ offensive unit became the first in team history to boast a 4,000-yard passer, two 1,000-yard receivers and a 1,000-yard rusher in the same season. The team also broke franchise records for passing first downs (210) and passes completed (351).

Arians has a pedigree of winning football, and productive football. He could be a good fit for a team looking to establish an offense.

UPDATE:

Permission just now granted to Bears to interview Bruce Arians. Interview scheduled for next week.

— Dan Pompei (@danpompei) January 3, 2013