## SPR 4-Phase Fresnel Reflectivity Calculation

Brought to you by the
Research Group of
Prof. Robert M. Corn

at the Dept. of Chemistry, University of California, Irvine.

This page is for calculating the reflectivity (R) of p-polarized and s-polarized light
as a function of incident angle (t) from a four phase thin film dielectric stack. These
calculations are used in predicting the shift in the SPR angle (i.e.,
the angle at which a minumum in reflectivity is observed in an SPR
scanning angle experiment. The four phases are typically:

- prism (BK7 or SF10 glass)
- gold or silver thin film
- monolayer film
- water or air

For this calculation, you need to supply the angle range over which you
wish to perform the calculation, the wavelength of light used in
the SPR experiment, the indices of refraction for the 4 phases, and the
thicknesses of the two thin films. The prism can only have a real index of
refraction, but all of the other phases can be complex (i.e., absorbing).
If you don't know the indices of refraction,
we have created tables of
gold,
BK-7, and
SF-10,
indices of refraction
for wavelengths between 500 nm and 2000 nm. The default indices in the
form are for BK-7 and gold at the HeNe laser wavelength of 632.8 nm.

The calculations closely follow those published in the article by Wilford
Hansen, J. Opt. Soc. Am. 1968, 58, 380-390. Although the equations
follow Hansen's N-phase method, this particular calculation is written to perform
only a 4-phase calculation. For more information or a copy of the
complete N-phase calculation code, please see our
Calculations Page.

To run this calculation, just fill out the form items below and hit the
"Submit Parameters" button. Your input data will then be saved, and the
calculated t-R data will be returned in an x-y table.

Good Luck! If you run into any problems, please email us at:
ucispr@gmail.com