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首页> 美国政府科技报告 >Derivation of the Universal Wavelength Tuning Formula for a Lyot Birefringent Filter
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Derivation of the Universal Wavelength Tuning Formula for a Lyot Birefringent Filter

机译：Lyot双折射滤波器通用波长调谐公式的推导

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摘要

A general method is presented for accurately finding the spectral tuning formula for a Lyot birefringent filter based on a limited number of measured tune solutions, that is, tuning elements angles in the filter that provide maximum and monochromatic transmission at wavelengths spanning the useful operating range of the filter. The ambiguous determination of retardation from the tuning element angle in a measured tune solution is resolved for each tuning element by extrapolation in the retardation of the next spectrally coarser tuning element assuming that the effective ratio of tuning element thickness is slowly varying in wavelength. Applying this to the Sacramento Peak Observatory Universal Birefringent Filter we find: (1) The retardations for adjacent tuning elements made of the same birefringent material are fit by a linear function to within a fraction of the measurement accuracy of the tune solutions over the entire 4000-7000-A spectral range, a precision of about 2 parts in 1,000,000. (2) The retardations for a tuning element with quartz compared with a tuning element with calcite birefingent material show excursion from a straight line of about 1 part in 75 and are fit by a quadratic to a fraction of the measurement accuracy of the coarser tuning elements, about 1 part in 5000. (3) The retardation of calcite as a function of inverse wavelength shows excursion from a straight line of about 1 part in 40 and is fit without systematic error by a restricted quintic.

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