A plano-convex lens is immersed in a liquid that has a refractive index n1.
Derive the lens maker’s equation (shown below) in this situation assuming that n1 is smaller than the refractive index of the lens (nL).
Lens maker equation: 1/f = (n1-1)/r where f: focal length of lens and r: radius of curvature of lens
A plano-convex lens is immersed in a liquid that has a refractive index n1. Derive the...
Two rays traveling parallel to the principal axis strike a large plano-convex lens having a refractive index of 1.50 (see figure below). If the convex face is spherical, a ray near the edge does not pass through the focal point (spherical aberration occurs). Assume this face has a radius of curvature of R = 21.2 cm and the two rays are at distances h, = 0.500 cm and h, = 11.9 cm from the principal axis. Find the difference Ax...
b) A plano-convex lens has a diameter of 400 mm and the central thickness of 40 mm. The edge thickness is zero and the refractive index of glass is 1.5. The lens is free from spherical aberration. Find the following parameters of the lens: (i) the back focal distance; (ii) the radius of curvature of the back surface
A convex flat lens has radii of curvature r1 = ∞ and r2. The lens has a refractive index nL, has a thickness d and is immersed in air. Calculate the matrix A of the optical system.
Consider a thin lens, but with different radius of curvature, denoted as R1, R2. The refractive index of the lens is n. (1) Derive analytically, when a monochromatic plane wave is shined normally on the lens. What would the transmitted complex wave function be? From the derived complex wave function, what is the focal length in terms of R1, R2, n? (2) Take R1 50cm, R2 35cm, n 1.5. If we place an object with height of 4cm in front...
2. A convex lens of focal length 24 cm and refractive index of glass is 1.5. Find the foca length of this lens if it is totally submerged into water of refractive index 1.33. A far sighted person cannot see objects clearly that are closer to the eye than 73 cm Determine the focal length of contact lenses that will enable this person to read a magazine at a distance of 25 cm. 4.
The focal length ____________ when the refractive index of the lens is increased and __________ when the curvature radius of the lens is increased. increases / increases decreases / increases increases / decreases decreases / decreases
A refractive index (n) is 1.5 and the radius of curvature (R) is .6m. What it is the appropriate equation to calculate the focal length (f) of the lens. I wrote f= (n-1)(2/R) which gave me a 1.667 m = 166.7 cm. Is this correct? The next part of the lab has you measure the focal length and it is different from what I measured on simulation and it ask why?
A contact lens has a convex and a concave side. The radius of curvature of the convex side is 1.5 cm. The radius of curvature of the concave side is 1.6 cm. The lens material has an index of refraction of 1.7. What is the focal length of the contact lens? (in cm] Answer: What is the optical power of the contact lens? ſin D] Answer:
You need to make a plano-concave lens with a focal length of +15 cm out of glass with an index of 1.60. Plano-concave means that one side is flat. You then form an image with the lens of an object that is 1 cm tall and that is 25 cm from the lens. (a) Find the radius of curvature of the curved side of the lens. (b) How far is the image formed from the lens? (e) How big is...
A typical human lens has an index of refraction of 1.41. The lens has a double convex shape, but its curvature can be varied by the ciliary muscles acting around its rim. At minimum power, the radius of the front of the lens is 10.0 cm, while that of the back is 6.00 mm. At maximum power the radii are 6.00 mm and 5.50 mm, respectively. (The numbers can vary somewhat.) If the lens were in air, (a) what would...