Spectral　analysis　is　an　important　method　for　noninvasive　blood　glucose　measurement.　Presently,　Fourier-transform　spectroscopy　is　a　well-established　technique　that　provides　highly　resolved　spectral　measurements　in　the　infrared,　visible　and　ultraviolet　ranges.　In　this　study,　we　proposed　a　novel　method　for　obtaining　linear　spectra　based　on　regular　Spatial　Heterodyne　Spectrometers.　In　particular,　we　wanted　to　use　a　fluorescent　dye-coated　screen　and　a　Fourier　lens　to　directly　obtain　uniform　K-space　spectra.　In　the　system,　the　up-conversion　luminescent　material　on　the　screen　is　hoped　to　absorb　coherent　incident　light　and　emit　light　of　a　specific　wavelength　that　maintains　the　coherence.　According　to　our　calculation,　the　photodetector　array　receives　the　Fourier　image　pattern　on　the　screen　and　can　directly　obtain　the　spectrum　of　the　measured　substance,　therefore　the　scientists　can　directly　observe　the　spectrum　of　the　test　sample.　Furthermore,　we　replace　the　fluorescent　dye-coated　screen　by　an　infrared　laser　detector　card,　which　is　commonly　used　in　laboratories,　to　primary　verify　the　feasibility　of　the　method.　Up-conversion　luminescent　materials　that　are　widely　used　in　the　fields　of　analytical　chemistry,　biomedicine,　and　life　sciences,　have　very　good　application　prospects　in　biological　imaging,　photodynamic　therapy,　solar　cells,　flexible　fluorescent　films　and　sensing.　©　2020　SPIE.