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Reflection and Refraction Maxwell's equations lead to definition for ...

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The <strong>to</strong>tal intensity t(λ) measured at the exit slit as image is translatedis called the slit function- <strong>for</strong> equal entrance <strong>and</strong> exit slits, shape is triangular- <strong>for</strong> unequal entrance <strong>and</strong> exit slits, shape is trapezoidalwith a base of s <strong>and</strong> half-width of s gMathematically, the slit function iswhere( ) = 1− ⎜λ − λ 0t λ⎛⎝s g⎞⎟⎠t(λ) = 0 elsewhereλ 0 −s g ≤ λ ≤ λ 0 +s gλ is the incident (monochromatic) wavelength at entrance slitλ 0is the wavelength setting of the monochroma<strong>to</strong>r (thewavelength directed <strong>to</strong> the center of the exit slit)ResolutionResolution quantifies how well separated two features are at the exitslit• closely related <strong>to</strong> linear dispersion (D l )(or angular dispersion (D A ), <strong>and</strong> physical dimensions of themonochroma<strong>to</strong>r (through f))• slit width WCEM 835 page 3-21

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