Consider a light source consisting of two components with different wavelength λ1 and λ2....

Consider a light source consisting of two components with different wavelength λ1 and λ2. Let light from this source be incident on a scanning Fabry-Perot interferometer of nominal length d = 5 cm. Let the scaled transmittance through the Fabry-Perot as a function of the change in the cavity length be as shown in Figure 1a and 1b. Figure 1b shows the first set of dual peaks of Figure 1a over a smaller length scale in order to allow a closer examination of the structure of the overlapping peaks.

a. What is the nominal wavelength of the light source?

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b. Estimate the difference λ2 − λ1 in wavelength of the two components presuming that the overlapping transmittance peaks have the same mode number, m2 = m1 = m.

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c. Estimate the difference λ 2 − λ1 in wavelength of the two components presuming that the overlapping transmittance peaks have mode numbers that differ by 1, so that m2 = m1+ 1.

Figure 1