Lateral Image Test  
Overview  Computations  Setup  
Baldwin On LIT  Contact 
To download the LIT Conic spreadsheet click here (MD5 = F13AEAE7DF1F740BDC2250ADDC172D1C) Jeff Baldwin's youtube video  taking a LIT image Jeff Baldwin's youtube video  processing a LIT image click to download the 24 mega byte imageJ input tif file to be used with LIT spreadsheet Olympus E300 Evolt Canon T2i EOS Rebel 


LIT Nonlinear Algebraic Equations  
This is a newer and I think easier to understand version of the LIT equations. The original equations can be found here. And of course, both produce the same results. LIT is a Fixed Source Test and as such, the angle of the source ray s is equal to the angle of reflection ray r as measured with respect to the Normal per Fig1:
The Normal vector (per Fig1 equation 2) of the form y=mx+b is y=z'x+zz'+h, where zz'+h is the b term. Knowing z, the other side of that right triangle is found using similar triangles where the derivative z' serves as the other triangle with similar sides. Derivative z' and 1/z' are used in many places in Fig1 in this manner which has greatly simplified this new version of the LIT equations, which gets exactly the same results as the old. Excels Solver (Root finder) is used to find the numerical solution to the LIT nonlinear algebraic equations, which can be simply summarized as: z is varied (using a Root finder) until Yz of Fig2 equation 12 is nearly equals to Ym (the slit images as measured by ImageJ). Instead of using Z=Kz of Fig4 to compute the Foucault, Z=(hRz'+zz')/z' is used instead being it avoids multiplying by K=0 when the conic is a sphere. 




References

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2005  2023 Bill Thomas This work is licensed under a Creative Commons AttributionNonCommercialShareAlike 4.0 International License. 