"THICK LENS, GAUSSIAN FORMULA, PARAXIAL APPROXIMATION. A diagram of the Problem is shown below. Surface is represented by 's'. s | | s s | | s H1, H2 distances Y[O] s | | s Y[I] from V1, V2 to ╦<····f.f.l·····>s·H1·|< >|·H2·s<····b.f.l.····> first and second ║······o·········s····| |····s·········o······· principal planes. S F[O] V1 s<·······D········>s V2 F[I] ║ D, distance between s | | s ╩ I focal planes. |·X[O]·|···f······s···| |···s·····f····|·X[I]·| s | | s |--------S[O]-----------| |-----S[I]------------| Sign Convention: X[O] + means its left of F[O] focal_length < 0 X[I] + means its right of F[I] means Y[I], Y[O] + means above optical axis diverging lens. *** Answer(s) to problem *** (c) PCSCC, Inc., 1993 (a) Variables are set to proper values at entry. Refer to Figure above. Princ. f=8.31, image dist S[i]=18.6, trans mag M[t]=-1.24. f.f.l=6.75, b.f.l = 7.92. ||A double convex lens has radii of 6 and 24 cm, a thickness of3 cm and index of 1.6. (a) Locate both the principal and focal points and compute the image distance for an object 15 cm in front of V1. (b) determine themagnification of the image and (c) determine the f.f.l. and b.f.l. Type comma key to see answers. Type (F2) to return to application file."
