This week's famous immigrant is the lovely and talented Hedy Lamarr!  From the biography page of her website:

Often called “The Most Beautiful Woman in Films,” Hedy Lamarr’s beauty and screen presence made her one of the most popular actresses of her day.

She was born Hedwig Eva Maria Kiesler on November 9, 1914 in Vienna, Austria. At 17 years old Hedy starred in her first film, a German project called Geld Auf Der Strase. Hedy continued her film career by working on both German and Czechoslavakian productions. The 1932 German film Exstase brought her to the attention of Hollywood producers, and she soon signed a contract with MGM.

And from biography.com:

In 1942, during the heyday of her career, Lamarr earned recognition in a field quite different from entertainment. She and her friend, the composer George Antheil, received a patent for an idea of a radio signaling device, or "Secret Communications System," that later became an important step in the development of technology to maintain the security of both military communications and cellular phones.

Although her film career came to an end in the late 50s, Lamarr is still known for her beauty and brains!