Derivation of the universal wavelength tuning formula for a Lyot birefringent filter

Physics – Optics

Scientific paper

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Birefringent Filters, Solar Instruments, Tuning, Wavelengths, Error Analysis, Light Transmission, Solar Spectra

Scientific paper

A technique for accurate configuration of the spectral tuning model for a Lyot birefringent filter (LBF) for use in solar astronomy is presented. The LBF is composed of a series of rotatable tuning elements, each comprising an entrance polarizer, a birefringent crystal, and a quarter-wave plate. Entering light is split into two beams to retain the temporal phase and make the wave phase accessible. The quarter-wave plate after the birefringent crystal alters the phase lag into a specific linear polarization angle. It is shown that the retardation from each tuning element can be resolved by extrapolating to the retardation of the next spectrally coarser tuning element if the assumption is made that the effective ratio of tuning element thicknesses slowly varies in wavelength. The model, applied to instrumentation at the Sacramento Peak Observatory, results in a tuning element angular positioning accuracy better than 1 deg and a spectral positioning better than 0.010 A.

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