This week on “Picture Perfect,” we’re seeing double.

James Stewart plays Scottie Ferguson, a traumatized police detective who becomes obsessed with the woman he loves – and loses – in Alfred Hitchcock’s “Vertigo” (1958). Kim Novak portrays both the enigmatic beauty and her spitting image, who Ferguson, rather creepily, attempts to mold. Bernard Herrmann wrote the hypnotic score.

Krzysztof Kieślowski’s “La double vie de Véronique”/“The Double Life of Véronique” (1991) depicts parallel characters living in Poland and France who are mysteriously linked, both of them played by Irène Jacob. The performance(s) earned Jacob an award for Best Actress at the Cannes Film Festival. The music, which plays a significant role in the actual plot, is by Zbigniew Preisner.

For the second time in her career, Bette Davis gets a chance to play an evil twin in “Dead Ringer” (1964). The first was in the 1946 good twin-bad twin melodrama, “A Stolen Life.” When asked what the difference was between the two performances, Davis quipped, “About 20 years.” “Dead Ringer” was directed by her longtime friend and “Now, Voyager” co-star Paul Henreid. The music is by André Previn, whose score employs a stock-in-trade sinister harpsichord, yet when he comes to write the love theme, he manages to whip up one hell of a tribute to Erich Wolfgang Korngold.

Korngold scored a number of Davis’ films in the 1940s, though he is principally remembered for his work on the swashbucklers of Errol Flynn. To capitalize on Flynn’s star-making performance in “Captain Blood,” Warner Brothers produced a big screen adaptation of Mark Twain’s Tudor switcheroo, “The Prince and the Pauper” (1937). Flynn steals the show as Miles Hendon, the devil-may-care guardian of Prince Edward and Tom Canty, Edward’s mirror image, played by real-life twins Bobby and Billy Mauch. If you’re a Korngold fan, or an enthusiast of violin concertos, you may recognize some of the music. Korngold recycled the theme for use in the last movement of his Violin Concerto, championed by Heifetz and others.

Double your pleasure with an hour of doppelgangers, twins, and dual identities, on “Picture Perfect,” music for the movies, this Saturday evening at 6:00 EST, on WWFM – The Classical Network and wwfm.org.