A turbine engine incorporating a fine particle separation means (300, 400), the turbine engine comprising: a radial compressor that rotates about a longitudinal axis, and which compresses air fed thereto; a radially-oriented diffuser located downstream and radially outward, with respect to the longitudinal axis, from the radial compressor, and which decreases a velocity of and increases a static pressure of the compressed air exiting the radial compressor; a flow path positioned downstream and radially outward, with respect to the longitudinal axis, from the diffuser, wherein the flow path comprises an outer annular wall and an inner annular wall between which the compressed air flows, and wherein the flow path comprises an arc that redirects the compressed air from flowing in a substantially radial flow direction to a substantially axial flow direction; and an extraction slot at the outer annular wall that fluidly connects with a scavenge plenum, the scavenge plenum being positioned adjacent to and radially outward, with respect to the longitudinal axis, from the outer annular wall at a position downstream axially along the flow path from the arc, the extraction slot also being positioned downstream axially along the flow path from the arc, wherein the extraction slot is defined between the outer annular wall and an inner radial wall of the scavenge plenum that is offset radially inward from the outer annular wall such that the extraction slot occupies 1% to 15% of an area of the flow path, measured with respect to a plane perpendicular to the longitudinal axis; and a plurality of holes along the outer annular wall that fluidly connect with a scavenge plenum, the plurality of holes being positioned along the arc, the scavenge plenum being positioned adjacent to and radially outward from, with respect to the longitudinal axis, the arc. a radial compressor that rotates about a longitudinal axis, and which compresses air fed thereto; a radially-oriented diffuser located downstream and radially outward, with respect to the longitudinal axis, from the radial compressor, and which decreases a velocity of and increases a static pressure of the compressed air exiting the radial compressor; a flow path positioned downstream and radially outward, with respect to the longitudinal axis, from the diffuser, wherein the flow path comprises an outer annular wall and an inner annular wall between which the compressed air flows, and wherein the flow path comprises an arc that redirects the compressed air from flowing in a substantially radial flow direction to a substantially axial flow direction; and an extraction slot at the outer annular wall that fluidly connects with a scavenge plenum, the scavenge plenum being positioned adjacent to and radially outward, with respect to the longitudinal axis, from the outer annular wall at a position downstream axially along the flow path from the arc, the extraction slot also being positioned downstream axially along the flow path from the arc, wherein the extraction slot is defined between the outer annular wall and an inner radial wall of the scavenge plenum that is offset radially inward from the outer annular wall such that the extraction slot occupies 1% to 15% of an area of the flow path, measured with respect to a plane perpendicular to the longitudinal axis; and a plurality of holes along the outer annular wall that fluidly connect with a scavenge plenum, the plurality of holes being positioned along the arc, the scavenge plenum being positioned adjacent to and radially outward from, with respect to the longitudinal axis, the arc.