A filter element configured for use in a smoking article, the filter element comprising: at least one first filter segment comprising a first aliphatic polyester fibrous material selected from a group consisting of polyglycolic acid, polylactic acid, polyhydroxy butyrate, polyhydroxy valerate, polycaprolactone, and any combination or copolymer thereof, that includes at least one first finish composition formulated to selectively filter at least one first target component of mainstream aerosol, wherein the at least one first finish composition comprises a compound selected from a group consisting of a cationic polymer having at least one primary amino group, a dienophile, a polymeric diene, an oligomeric diene, a polymer having at least one aliphatic alkane functional group, a polymer having at least one aliphatic alkene functional group, a polymer having at least one aromatic functional group, a transition metal, a polymer having at least one dithiocarbamate functional group, and any combination thereof, and at least one second filter segment comprising a second aliphatic polyester fibrous material selected from a group consisting of polyglycolic acid, polylactic acid, polyhydroxy butyrate, polyhydroxy valerate, polycaprolactone, and any combination or copolymer thereof, that includes at least one second finish composition formulated to selectively filter at least one second target component of mainstream aerosol, wherein the at least one second finish composition comprises a compound selected from a group consisting of a cationic polymer having at least one primary amino group, a dienophile, a polymeric diene, an oligomeric diene, a polymer having at least one aliphatic alkane functional group, a polymer having at least one aliphatic alkene functional group, a polymer having at least one aromatic functional group, a transition metal, a polymer having at least one dithiocarbamate functional group, and any combination thereof, and wherein the first target component differs from the second target component, wherein the at least one first filter segment and the at least one second filter segment are arranged in a concentric relationship relative to each other, wherein the at least one first finish composition and the at least one second finish composition are different. at least one first filter segment comprising a first aliphatic polyester fibrous material selected from a group consisting of polyglycolic acid, polylactic acid, polyhydroxy butyrate, polyhydroxy valerate, polycaprolactone, and any combination or copolymer thereof, that includes at least one first finish composition formulated to selectively filter at least one first target component of mainstream aerosol, wherein the at least one first finish composition comprises a compound selected from a group consisting of a cationic polymer having at least one primary amino group, a dienophile, a polymeric diene, an oligomeric diene, a polymer having at least one aliphatic alkane functional group, a polymer having at least one aliphatic alkene functional group, a polymer having at least one aromatic functional group, a transition metal, a polymer having at least one dithiocarbamate functional group, and any combination thereof, and at least one second filter segment comprising a second aliphatic polyester fibrous material selected from a group consisting of polyglycolic acid, polylactic acid, polyhydroxy butyrate, polyhydroxy valerate, polycaprolactone, and any combination or copolymer thereof, that includes at least one second finish composition formulated to selectively filter at least one second target component of mainstream aerosol, wherein the at least one second finish composition comprises a compound selected from a group consisting of a cationic polymer having at least one primary amino group, a dienophile, a polymeric diene, an oligomeric diene, a polymer having at least one aliphatic alkane functional group, a polymer having at least one aliphatic alkene functional group, a polymer having at least one aromatic functional group, a transition metal, a polymer having at least one dithiocarbamate functional group, and any combination thereof, and wherein the first target component differs from the second target component, wherein the at least one first filter segment and the at least one second filter segment are arranged in a concentric relationship relative to each other, wherein the at least one first finish composition and the at least one second finish composition are different.