= Fabry–Pérot interferometer
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A <Fabry–Pérot interferometer> uses repeated <specular reflections> between two nearly parallel, partially transmitting surfaces. Its transmitted <light> is the sum of contributions that have made zero, one, two, or more additional round trips. Their <complex amplitudes> reinforce only near particular <wave phases>, producing narrow transmission peaks that select <wavelength> intervals. Scanning the spacing or <angle of incidence> can build an imaging spectral cube: an image at each selected <wavelength>.
The surprising feature is that highly reflecting mirrors can together transmit all the incident <power> at resonance in the ideal symmetric, lossless model. Each individual contribution is weak, but many contributions arrive in phase. Between resonances the same contributions cancel strongly. Increasing mirror reflectivity sharpens the peaks instead of simply suppressing every transmitted signal; <finesse> quantifies that selectivity. An <optical spectrum> with nearby <spectral lines> can therefore produce distinguishable peaks, provided their separation is large enough relative to the instrument's peak width and their orders are identified.
<Charles Fabry> and <Alfred Perot> developed the instrument together; Optica dates its development from 1896 to 1898.<Charles Fabry, Optica History biography>[Charles Fabry biography, paragraphs on collaboration with Alfred Pérot and instrument development]{ref}
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