4500HWT02 - Thick Lens Imaging and Depth of Field An object...

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Unformatted text preview: Thick Lens Imaging and Depth of Field An object is plaCed to the left of the macro lens shown in the diagram below. Light propagates from left to right. The focal length of this lens is 55 mm. The f-no. of this lens is set at f / 11. All dimensions on the diagram are given in mm. It is desired to form a real image of an object (an assembled printed circuit board) such that the object- to—image reproduction ratio is 20 to 1. For a high resolution image, the tolerable blur spot is taken to be (1 = 0.05 mm. 55 37. 4 27. 9 38. 3 103. 6 Calculate, showing all work, the distance of the object from the left—most glass surface. Calculate, showing all work, the distance of the image from the right—most glass surface. Calculate the depth of field and the depth of focus for this arrangement. De— termine the depth of field from the table supplied with the lens (in the class notes). Ex— press your answers in mm accurately to four significant figures. Put your answers in the spaces provided. Distance of object from left—most glass 2 min Distance of image from right—most glass 2 mm Calculated depth of field = mm Depth of field from table = mm Calculated depth of focus 2 mm Thick Lens Imaging and Depth of Field Focal length, f = 55.0mm 'Real image, m < 0 Linear magnification, m = —1/2() = —0.05 f-no. -—- 11 Tolerable blur spot, d = 0.05 mm Object distance 3 = (1 — 51).)“ = 21f = 21 (55.0mm) = 1155.0mm Distance of object from left-most glass = 1155.0 — (55.0 —~ 37.4) = 1137.4 mm Image distance 3’ = -ms 2 -(-1/20) 1155.0 mm = 57.75 mm Distance of image from right-most glass = 57.75 — (55.0 - 38.3) = 41.05 mm Depth of field calculated 2w # no.) (1 + |m|) A: m2 = 462 mm Depth of field from table A = 1.37m — 1.07m = 0.30m = 300mm Depth of focus 6 = Am? = 1.155mm ...
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4500HWT02 - Thick Lens Imaging and Depth of Field An object...

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