4500HWC01 - Chromatic Aberration in Micro-Sphere Lens An...

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Unformatted text preview: Chromatic Aberration in Micro-Sphere Lens An array of micro—sphere lenses is to be evaluated for use in concentrating light on an array of photodetectors. Each lens is a sphere of BK—7 glass that is 1.000 mm in diameter. Each micro-sphere lens is illuminated in air with a collimated beam of white light that is 0.800 mm in diameter. The axis of each beam is centered on the corre- sponding micro—Sphere lens. Calculate, showing all work, the longitudinal chromatic aberration for the above configuration. Express your answer as the magnitude of the distance from the red focal point to the blue focal point for the marginal rays (rays furthest from the axis of the optical system). Following the standard convention in imaging Optics, red is taken to be C—light (hydrogen C-line of freespace wavelength 656.27 mm) and blue is taken to be F—light (hydrogen F-line of freespace wavelength 486.13 mm). Express your answer in microns accurately to four significant figures. Is red light or blue light focused closer to the lens? Put your final answers in the spaces provided. Longitudinal chromatic aberration = I ,um. The color focused closer to the lens is (red) (blue). (Circle one.) - Chromatic Aberration in Micro-Sphere Lens Sphere lens no = 1.51385 (for red light) mm = 1.52190 (for blue light) R = 0.500mm = 500nm for extreme ray h = 0.400mm and h/R = 0.800 The focal distance from the rear of the lens is f = R{[<%>/ swan-1%) —sm-l(n—"§)n] —1} and so f0 92.54797 um fF 88.33091 ,um and so the longitudinal chromatic aberration is = 4.21706 pm The color focused closer to the lens is blue. ...
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This note was uploaded on 04/29/2008 for the course ECE 4500 taught by Professor Gaylord during the Spring '08 term at Georgia Institute of Technology.

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4500HWC01 - Chromatic Aberration in Micro-Sphere Lens An...

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