The measurement of wavelengths is subject to systematic errors caused by phase shifts on reflection. This paper gives methods for calculating these phase shifts for metallic and dielectric mirrors from knowledge of the easily obtained reflectivity or transmission spectrum. The Kramers–Kronig relations, as originated by BodeH. W. [ Network Analysis and Feedback Amplifier Design ( Van Nostrand, Princeton, N.J., 1945)], apply to dielectric and metallic-mirrors in many cases. The success of metallic surfaces for interferometry is a direct consequence of the Kramers–Kronig relations. A specific example of a phase-shift calculation for a multilayer-dielectric-coated mirror is given.
© 1985 Optical Society of America
Original Manuscript: June 18, 1984
Manuscript Accepted: July 2, 1985
Published: November 1, 1985
William Lichten, "Precise wavelength measurements and optical phase shifts. I. General theory," J. Opt. Soc. Am. A 2, 1869-1876 (1985)