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ISSN Online: 2377-424X

ISBN Print: 1-56032-797-9

International Heat Transfer Conference 11
August, 23-28, 1998, Kyongju, Korea

THE INCREMENTAL KRAMERS-KRONIG METHOD: DEVELOPMENT AND APPLICATION

Get access (open in a dialog) DOI: 10.1615/IHTC11.4310
pages 319-324

Resumo

Transmission of thin gold films of thickness between 87 and 182 A are measured with a Perkin-Elmer Model 1605 Fourier transform infrared spectrometer (FTIR) in the infrared region. The films are sputter deposited at room temperature on a KCI substrate, which is transparent in the infrared region studied. From the transmittance data, the phase shift of the incident beam is calculated using a modified and novel version of the Kramers-Kronig dispersion relation. The advantage of using the Kramers-Kronig dispersion relations method is to reduce the need for obtaining experimental information that is in addition to the transmission data, such as the phase shift at two or more different angles of the incident beam, or reflectance measurements, or separating the beam into its perpendicular and parallel components, which are needed to determine the optical constants of the thin films. The new method is termed the incremental Kramers-Kronig (IKK) because it relies on the determination of the phases at a previous value in order to determine the current one. A comparison between the new method and the more commonly used subtractive Kramers-Kronig (SKK) is also made. It is found that the IKK method gives more accurate and unique results for the complex refractive index of the gold film. The complex refractive index of the film is determined by solving numerically for the system of non-linear equations that consist of the phase shift as obtained by the IKK and the transmittance through the films.