Georgii Danilovich Malyuzhinets (; 2 July 1910 — 14 August 1969) was a Soviet physicist. He is best known for his contributions to the theory of scattering and diffraction in acoustics and electromagnetics.
Born on 2 July 1910 in Moscow, Malyuzhinets was educated at the Department of Physics at Moscow State University, receiving Candidate of Sciences degree in 1938. Serving as a professor at the same institution until 1942, he became a research fellow at Lebedev Physical Institute in 1944, and presented his Doctor of Science dissertation on sound-absorbing screens in 1951. During his academic career, he has studied under Vladimir Fock, Mikhail Leontovich and Nikolai Andreyev. Becoming a faculty member at the Department of Acoustics in Moscow Institute of Physics and Technology in 1954, he served as the head of Mathematical Laboratory of the Acoustics Institute of Academy of Sciences of the Soviet Union until his death in 1969.
Malyuzhinets' most notable contribution to the diffraction theory is the exact calculation of wave diffraction from a wedge with impedance boundary conditions with Sommerfeld integrals; it is widely adopted in diffraction problems in acoustics, electromagnetics and fluid dynamics. Developed as a part of his DSc. dissertation and referred colloquially as Malyuzhinets or Sommerfeld–Malyuzhinets theory, this solution is expressed in terms of special functions known as Malyuzhinets functions. Malyuzhinets' other contributions include theory of acoustic coatings and gratings, active noise control and parabolic equation methods for short-wave diffraction. He was one of the first researchers to adopt the finite difference method for parabolic diffraction problems, having developed an early finite difference code for underwater acoustics in 1964. His studies on Sommerfeld radiation condition in backward-wave transmission lines in 1951 anticipitated the theory and discovery of negative-index metamaterials in the 2000s.
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