Question #202443

 Another published set of refractive indices for the eye components has ncornea = 1.376, naqueous

= 1.336, nlens = 1.40, nvitreous = 1.337, and the four radii of curvature as (from anterior to posterior) 

7.8, 6.4, 10.1, and 6.1 nm. Calculate what are the focusing power and focal length of this eye when 

the eye is in contact with water.


Expert's answer

Dcor=D1+D2=n2−n1R1+n3−n2R2=1.376−1.3367.8+1.337−1.3366.4=5.28⋅106 dpt,D_{cor}=D_1+D_2=\frac{n_2-n_1}{R_1}+\frac{n_3-n_2}{R_2}=\frac{1.376-1.336}{7.8}+\frac{1.337-1.336}{6.4}=5.28\cdot 10^6 ~dpt,

Dcri=D3+D4=n3−n2R3+n4−n3R4=1.337−1.33610.1+1.400−1.3376.1=108.79⋅106 dpt,D_{cri}=D_3+D_4=\frac{n_3-n_2}{R_3}+\frac{n_4-n_3}{R_4}=\frac{1.337-1.336}{10.1}+\frac{1.400-1.337}{6.1}=108.79\cdot 10^6 ~dpt,

D=Dcor+Dcri=114.07⋅106 dpt,D=D_{cor}+D_{cri}=114.07\cdot 10^6 ~dpt,

F=1D=8.77 nm.F=\frac 1D=8.77~nm.


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