Stewart Copeland & Stewart Copeland – Rumble Fish (Original Soundtrack)

In this photo, Stewart Copeland can be seen playing a Roland RS-505 Paraphonic string synthesizer. He used it on early 80s Police records Zenyatta Mondatta (for the organ sound in "Bombs Away", for example) and Ghost In The Machine ("Rehumanize Yourself" and "Darkness", though it may also appear on other songs too), followed by the Rumblefish soundtrack in 1984 (for which it was part of his so-called "demo station", a photo of which is included on The Police Wiki page for the soundtrack).

Stewart Copeland has used an Oberheim DMX drum machine (available at the time at Tres Virgos studio facility) to record the Rumble Fish soundtrack in March 1983. He later used the DMX to program drum rhythms for the sequences Sting wrote in Los Angeles for the Synchronicity tour in order to keep in time with them, and clocked the DMX to Sting's DSX sequencer live on "Synchronicity I", "Walking In Your Footsteps", "King Of Pain" and "Wrapped Around Your Finger". He referred to it as "Mr. Oberheim". Source: The PoliceWiki, Down Beat May 1984, Jeff Seitz

Stewart had this to say about the DMX in Home Studio Recording magazine:

I've been using the Oberheim DMX up till now, and that in my opinion has the best sound, the best bass drum and the best snare sound. The cymbals on all of them are crap, you need to overdub live cymbals for that. But the triggering and so on, where you put down a trigger track on channel 1 and then you can overdub anything you want just by syncing it back in, are great. In the old days you would have to record your drum box first, then put everything else on top of it. Now you record just 4 beats in a bar and a sync pulse track.

In this article, Stewart Copeland mentions mixing down the Rumblefish soundtrack onto the Sony PCM-F1 recorder, which he bought for £800.