The phase shift upon transmission of a nonabsorbing multilayer is shown to be a monotonically decreasing function of the wave number, with an average slope proportional to the optical thickness of the coating. Two limiting situations of the phase shift upon reflection are examined: In one the phase monotonically increases with wavelength, and in the other the phase oscillates. The phase shift upon reflection is derivable from Kramers–Kronig-type relationships, provided the radiant reflectance and the Blaschke factors are known. Characteristic features of the refractive-index profile related to these factors are discussed.
© 1997 Optical Society of America
Original Manuscript: November 5, 1996
Revised Manuscript: February 6, 1997
Published: July 1, 1997
A. V. Tikhonravov, P. W. Baumeister, and K. V. Popov, "Phase properties of multilayers," Appl. Opt. 36, 4382-4392 (1997)