The Rayleigh-Sommerfeld solutions and the Luneburg-Severin-Vasseur and Severin-Vasseur solutions of diffraction problems are shown to satisfy certain reciprocity theorems in the case of a spherical incident wave. These new reciprocity theorems have very simple relations to those known in Kirchhoff’s theory of diffraction.
A. KUJAWSKI, "Reciprocity Theorems in Various Theories of Diffraction," J. Opt. Soc. Am. 56, 592-595 (1966)