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This guide provides an in-depth overview of spectrochemical instrumentation modules, focusing on critical components such as light sources, optical elements, sampling devices, wavelength selectors, detectors, and signal processors. It covers measures of source intensity, including radiant flux, intensity, radiance, irradiance, and spectral radiance. Furthermore, the text discusses optical components in imaging systems, including lenses, mirrors, beam splitters, and fiber optics, alongside their transmission characteristics and optical principles like Snell's Law and reflection losses.
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Spectrochemical Instrumentation Modules 1. Light Source 2. Optical Components 3. Sampling Device 4. Wavelength Selector 5. Detector 6. Signal Processor
Measures of Source Intensity 1. Radiant Flux, Φ Rate of transfer of energy Φ = δQ/δt (W)
Measures of Source Intensity 2. Radiant Intensity, I Radiant flux per unit solid angle from a point source I = δΦ/δΩ (W/sr)
Measures of Source Intensity 3. Radiance, B Radiant flux per unit solid angle per unit projected area B = δ2Φ/(δΩδA) (W sr-1 cm-2)
Measures of Source Intensity 4. Irradiance, E Radiant flux per unit projected area E = δΦ/δA (W cm-2)
Measures of Source Intensity 5. Spectral Radiance, Bλ Radiance per unit wavelength interval Bλ = B/δλ (W sr-1 cm-2 nm-1)
Optical Components of Imaging Systems 1. Windows 2. Lenses 3. Mirrors 4. Turning Prisms 5. Beam Splitters 6. Fiber Optics
Interaction of Light with an Interface Law of Specular Reflection Θ1 = Θ3 Snell’s Law of Refraction n1sin Θ1 = n2sin Θ2
Reflection Losses at an Interface (unpolarized light)
Reflection Losses at an Interface a = unpolarized b = perpendicularly polarized c = parallel polarized (Note Brewster’s Angle)
Reflection at an Interface (Total Internal Reflection) Propagating from high to low n
Total Internal Reflection n1sinΘ1 = n2sinΘ2 n1 > n2 Θ2 = 90 sin Θ1 = n2/ n1
Lens Maker’s Formula R2 < 0 1/f = (n-1) (1/R1 – 1/R2) For a Biconvex Lens, R1 = -R2
Lens Formula 1/S1 + 1/S2 = 1/f S1 = object distance S2 = image distance f = focal length
Relative Aperture of an Optical Component D/S1 where: D = limiting diameter S1 = distance from source
F-number (F/n) F/n = S1/D The solid angle of light collected by an optical component is given by: Ω = (π/4) (F/n)-2