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Additional resources for An introduction to mensuration and practical geometry
The first term of Eq. 51) represents the image, the second bracket represents the illumination on the object, the last two terms describe the effect of the reference and reconstruction structures. These last two terms correspond to the amplitude shading expressed in Eq. 12). We have obtained expressions for the true image; the conjugate image is just as easily obtained, and is the complex conjugate of Eq. 51). 53) In the mathematical manipulation described above, we chose not to introduce the additional complexity of allowing for an enlargement or reduction of the hologram itself.
19 Holography SPIf:R,CAA WAVE-' __ . ' a TRANSM ISS I(); OBXCT~ lt1OEVIAlEO __ '"';'<-. ::. ,"I:::=-_ WAVE SCATl'ER[O WAVE R[COROING ;r=== PlANE---- b Fig. 3. Gabor holography is performed as shown here. The photographs show the object, (a) which consists of a small styrofoam letter F, and the resulting hologram. (b) The hologram consists of an intensity scan over a plane; the letter is 1 cm in height and the illumination spherical rather than plane as described in the text. This is the mathematical equivalent of our physical illustration in Fig.
Note that a rather large background obstructs the image; (a) is the true image, (b) the hologram, and (c) the conjugate image. ,(1) "C r+ SI) :r o Holography 21 b Fig. 5. This hologram (a) was made as shown in Fig. 3 with the exception of the object, which now consists of a sheet of styrofoam with the letter F cut out of it. The size of the letter and all other parameters are the same. Note that no image (b) is visible since practically no background penetrates the object. quite good since the true image will be so badly out of focus that it merely contributes to the background.