The reflectance R (see Problem 1) of a Fabry-Perot etalon is 0.6. Determine the ratio of transmittance of the étalon at maximum to the transmittance at halfway between maxima.
Problem1
Consider the Fabry-Perot cavity shown in Figure 8-8.
a. With the method used in Section 8-5 to derive the Fabry- Perot transmittance, find the reflectance, R = IR/It, of a Fabry-Perot cavity. (Note:The reflection coefficient for the external surface of the cavity mirror must be −r if that from the internal surface is r and the transmission coefficients t are real.)
b. Using the result from (a) and Eq. (8-24) (or an equivalent form), show that the sum of the irradiances reflected by and transmitted through the Fabry-Perot cavity is equal to the irradiance in the field incident on the Fabry- Perot. That is, show that IR + IT = II.
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