Maximum linear magnification

The image size on the detector (0/2jr), and hence the magnification of the mirror, depends on the BRDF of the sample. For Lambertian samples, the magnification will be a maximum. Knowledge of the maximum linear magnification of a hemispheroidal or dual-paraboloidal mirror is required to... 

The maximum linear magnification of a hemispherical mirror along the axis containing the detector/source and sample is approximately given (25) by... 

Brandenberg (25) has shown that the maximum linear magnification along the semimajor axis of a hemielUpsoidal mirror is approximately equal to... 

The maximum magnification of a dual-paraboloid system has been evaluated by Hanssen (46) for the case of equal focal-length parabolas and coincident foci. If we define a quantity s" = rJ2f, then the maximum linear magnification of a dual-paraboloidal mirror withy = /d and Lp = 0 is given exactly by... 

Fig. 3. Maximum linear magnification from Ref. (46) for a hemispherical, hemiellipsoidal, and dual-paraboloidal mirror for the geometries discussed in the text. For the hemisphere, the ratio of the sample to hemisphere radius was set at 0.05.

In Fig. 3 the apparatus is shown with which Stolte (1972) has performed measurements of this type NO molecules were selected with the help of electrostatic sixpole fields, in accordance with their linear Stark effect in strong fields. The source slit of 0 05 mm width has an image formed by the selected NO molecules in the plane of the detector slit which has an experimental width of 1-4 mm f.w.h.m. this width includes all disturbing effects like the magnification factor (about 18), the imperfect linear Stark effect of the NO molecules in the selected state, the finite width of the transmission of the velocity selector (Av/v = 7% f.w.h.m.) in combination with the chromatic lens errors and the directional dependence of the maximum transmitted velocity of the velocity selector. The j = nij = Q = 3/2 state was selected where 1 is the projection of the electronic angular momentum on the molecular axis. The hyperfine structure of NO influences the situation only slightly. 

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