Wavelength Isolation Sequence Design

A recent paper by Jedwab and Wodlinger renewed interest in aproblem of multislit spectrometer design rst proposed by Golay in1951 but subsequently forgotten. It is shown that Golay's formulationof the problem in terms of 0/1 binary sequences is unduly restrictive.By relaxing the restrictions, innitely many spectrometer designs sat-isfying all the original physical criteria can be found. Three construc-tions for such spectrometer designs are presented, involving Golombrulers and variants. These constructions explain all nontrivial exam-ples involving at most 26 slits.