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1)FOR EACH SET OF LINES, THEORY PREDICTS!
!!
!1/[X(I+1)-X(I)] = M*[X(I+1)+X(I)] + 2HM.!
!THE SIGNIFICANCE OF THE CONSTANT M DEPENDS!
!UPON WHETHER AN ETALON OR A LUMMER PLATE IS!
!USED, BUT IN BOTH CASES H IS THE ZERO ERROR!
!FOR X(I):!
!R(I)=X(I)+H!
!WHERE R IS THE 'RADIUS' OF THE FRINGE FROM!
!THE OPTICAL AXIS. LEAST SQUARES FITTING YIELDS!
!VALUES OF H AND OF M.!
!!
!2)HAVING OBTAINED VALUES OF H AND HENCE OF!
!R(I), IT IS POSSIBLE TO OBTAIN IMPROVED VALUES!
!OF THE PARAMETER M. FOR BOTH INTERFEROMETERS!
!WE FIND A RELATION OF THE FORM!
!I = M*[R(I)]^2 + K.!
!!
!THUS A PLOT OF I AGAINST [R(I)]^2 YIELDS AN!
!(IMPROVED) VALUE OF M.!
!!
!3)FOR VERY CLOSELY SPACED LINES, THEORY!
!INDICATES THAT
!(R[I+J])^2 - (S[I])^2 = A*(R[I+J])^2!
! + B + J/M!
!WHERE R[I] AND S[I] ARE THE ITH FRINGE RADII!
!FOR THE TWO SPECTRAL LINES. A & B ARE CONSTANTS!
!DEPENDING UPON WHICH INTERFEROMETER IS USED:!
!J IS A (SMALL) INTEGER. THE VALUE OF B YIELDS!
!THE SPACING OF THE LINES. FLASH CARRIES OUT!
!A 'SPLITTING PLOT' CALCULATION BASED UPON THIS.!
!A IS NORMALLY TOO SMALL TO BE SIGNIFICANT.!
!!
!4)EXCESS FRACTIONS.!
!THE PROGRAM INCLUDES AN OPTION TO!
!DETERMINE THE ETALON SPACING OR LUMMER PLATE!
!THICKNESS BY THE METHOD OF EXCESS FRACTIONS. AT!
!LEAST 2 WAVELENGTHS SHOULD BE KNOWN.!
!THE METHOD IS BELIEVED TO BE ORIGINAL

2006-10-19 21:36:13 · answer #1 · answered by Just enquiring/ inquiring 4 · 0 0

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