Razvit matrichnyy metod resheniya volnovykh uravneniy v diskretno i nepreryvno neodnorodnykh sloistykh sredakh, v tom chisle, sloisto-periodicheskikh strukturakh. V chastnosti, opredeleny sobstvennye mnogochleny kvadratnykh matrits i issledovany ikh svoystva. Ukazannye mnogochleny ispol"zovany dlya razrabotki novogo algoritma vychisleniya tselykh stepeney matrits, ne trebuyushchego vychisleniya sobstvennykh znacheniy matrits. Polucheny analiticheskie resheniya dlya stepeney matrits vtorogo-chetvyertogo poryadkov. Dano obosnovanie metodov rekurrentnogo raschyeta bol"shikh stepeney kvadratnykh matrits i rekurrentnogo raschyeta matrichnoy eksponenty. Primenenie matrichnogo metoda illyustriruetsya na primerakh rasseyaniya uprugikh voln v zhidkikh i tvyerdykh sredakh, sveta v dielektricheskikh plyenkakh i anizotropnykh magnitno-opticheskikh sloyakh, difraktsii rentgenovskikh luchey v sloistykh kristallicheskikh strukturakh. Kniga rasschitana na nauchnykh rabotnikov, primenyayushchikh difraktsionnye metody dlya issledovaniya struktury i svoystv sloistykh materialov, a takzhe prepodavateley, aspirantov i studentov starshikh kursov, spetsializiruyushchikhsya v oblasti akustiki, optiki i radiofiziki kondensirovannykh sred.