Consider the following four thick lenses (in air) made from a material with an index of refraction of 1.6, a center thickness of 5 mm, and a diameter of 10 mm. Lens A Lens B Lens C Lens D Radius R1 (mm) 50 -50 -50 -50 Radius R2 (mm) -50 50 Infinity -25 a) For each lens, use the thick lens formulas given in class to find its lens power and locate all of its cardinal points (P', F', N' with respect to the last lens surface and P, F, N with respect to the first lens surface). Make a (good) sketch of each lens that includes the location of the cardinal points. What is the front focal length? What is the rear focal length? Is the absolute value of the front focal length equal to the absolute value of the rear focal length? Why/why not? b) For lens A, now use a brick diagram(s) to find all of its cardinal points and double-check your answers from a) - they should be the same!
Consider the following four thick lenses (in air) made from a material with an index of refraction of 1.6, a center thickness of 5 mm, and a diameter of 10 mm. Lens A Lens B Lens C Lens D Radius R1 (mm) 50 -50 -50 -50 Radius R2 (mm) -50 50 Infinity -25 a) For each lens, use the thick lens formulas given in class to find its lens power and locate all of its cardinal points (P', F', N' with respect to the last lens surface and P, F, N with respect to the first lens surface). Make a (good) sketch of each lens that includes the location of the cardinal points. What is the front focal length? What is the rear focal length? Is the absolute value of the front focal length equal to the absolute value of the rear focal length? Why/why not? b) For lens A, now use a brick diagram(s) to find all of its cardinal points and double-check your answers from a) - they should be the same!
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Step 1: Determine the given data and review the guidelines:
VIEWStep 2: Calculate the power and matrix elements:
VIEWStep 3: Calculate the front and rear focal length:
VIEWStep 4: Calculate the principle points (cardinal point)
VIEWStep 5: Calculate the focal points (Cardinal point)
VIEWStep 6: Calculate the nodal points (Cardinal point)
VIEWStep 7: Draw the diagram:
VIEWStep 8: Compare the front and rear focal length
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