Question: Design Problem (3) Thin Thin Lens (1) Lens (2) Another way to manufacture achromatic eyepieces is to use two thin biconvex lenses separated by a

Design Problem (3) Thin Thin Lens (1) Lens (2)

Design Problem (3) Thin Thin Lens (1) Lens (2) Another way to manufacture achromatic eyepieces is to use two thin biconvex lenses separated by a distance d. If you have two types of glass available to you; specifically, BK7 and F2. If the eyepiece should have a focal length of 2.5 cm, and their separation d should no exceed 5 cm. Determine the radii of the two thin lenses, their focal lengths, their separation and type of glass. Calculate the focal lengths of the eyepiece for the Yellow, Blue and Red Fraunhofer lines. How much does each focal length vary from the 2.5 cm desired value? Hint: It would be easier if you developed an Excel sheet calculator to try different values for your design. Refractive Indexes of Various Types of Glass Glass type number p l a n c h Common name BaK4 569560 1.575912 1.56883 1.56575 1.58614 Barium crown 7 517642 1.51680 1.51432 1.53024 Borosilicate crown 1.522374 1.63208 620364 1.62005 1.61506 1.65087 Flint Fluorite 488704 1.49227 1.48750 1.48535 1.49894 Fluorite CaF, crown FPL53 439950 1.44195 1.43875 1.43733 1.44645 ED Fused silica 458677 1.46317 1.45849 1.45640 1.46966 Fused quartz SF2 648338 1.66124 1.64769 1.64210 1.68273 Dense flint SF6 805254 1.82783 1.80518 1.79608 Dense flint 1.86506 1.75640 SF18 722293 1.73901 1.72151 1.71437 Dense flint Design Problem (3) Thin Thin Lens (1) Lens (2) Another way to manufacture achromatic eyepieces is to use two thin biconvex lenses separated by a distance d. If you have two types of glass available to you; specifically, BK7 and F2. If the eyepiece should have a focal length of 2.5 cm, and their separation d should no exceed 5 cm. Determine the radii of the two thin lenses, their focal lengths, their separation and type of glass. Calculate the focal lengths of the eyepiece for the Yellow, Blue and Red Fraunhofer lines. How much does each focal length vary from the 2.5 cm desired value? Hint: It would be easier if you developed an Excel sheet calculator to try different values for your design. Refractive Indexes of Various Types of Glass Glass type number p l a n c h Common name BaK4 569560 1.575912 1.56883 1.56575 1.58614 Barium crown 7 517642 1.51680 1.51432 1.53024 Borosilicate crown 1.522374 1.63208 620364 1.62005 1.61506 1.65087 Flint Fluorite 488704 1.49227 1.48750 1.48535 1.49894 Fluorite CaF, crown FPL53 439950 1.44195 1.43875 1.43733 1.44645 ED Fused silica 458677 1.46317 1.45849 1.45640 1.46966 Fused quartz SF2 648338 1.66124 1.64769 1.64210 1.68273 Dense flint SF6 805254 1.82783 1.80518 1.79608 Dense flint 1.86506 1.75640 SF18 722293 1.73901 1.72151 1.71437 Dense flint

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