Turbines don't "diesel along". They cannot provide the compression ratio (19 to 1 or higher) of a diesel engine. The process is continuous combustion, not really the same at all.
Quote: "The only aircraft turbine engines that use particle separators are on turboprop aircraft that operate in less-than-ideal conditions, like the Cessna Caravan". Unquote.
Not forgetting helicopter engines, of course. Long before the Caravan came along.