EXERCISE 1.2-3 Sensation Aberration-Free Imaging Surface. Determine the equation of a convex spherical (nonspherical) surface between...

EXERCISE 1.2-3

Sensation Aberration-Free Imaging Surface. Determine the equation of a convex spherical (nonspherical) surface between media of refractive indexes n1 and n2 such that all rays (not necessarily paraxial) from an axial point P1 at a distance z1 to the left of the surface area image onto an axial point P2 at a distance z2 to the right of the surface [Fig. 1.2-12(a)]. Hint: In accordance with Fermat's principle the optical pathlengths between the two points must be equal for all paths.

Hello,

i have an assignment and i need the answer for this question from the book , "FUNDAMENTAL OF PHOTONICS" by B.E.A SALEH. I need solution urgently

Expert Solution

genius_generous answered 2 years ago

Describe the reduction in the spherical aberration for a plano-convex lens for the special case of...

Describe the reduction in the spherical aberration for a plano-convex lens for the special case of collimated light (parallel light) focused down to a focal point. Which orientation of the lens gives the least spherical aberration and why? Show ray diagrams Describe how and axial-GRIN lens can further reduce the spherical aberration. Again show a qualitative ray diagram.

2. (a) A convex spherical surface of radius +50 mm separates air from glass of refractive...

2. (a) A convex spherical surface of radius +50 mm separates air from glass of refractive index 1.6. A parallel pencil of rays in air is incident on this surface. Find where the refracted pencil comes to a focus in the glass. (b) Where must a point object be placed in air to make the refracted pencil parallel? (c) Repeat (a), assuming the incident pencil to be diverging from a point in air 50 cm from the surface. (d) Repeat...

Determine the equation of the relationship between the force and the extension. Hooke's Equation: Fs =...

Determine the equation of the relationship between the force and the extension. Hooke's Equation: Fs = -k(delta)x

3. Suppose each time Illini freshman sensation Ko Cockburn shoots a free throw he has a...

3. Suppose each time Illini freshman sensation Ko Cockburn shoots a free throw he has a chance of making it. a. Construct a prior distribution for theta to be Beta(a,b). What values should a and b take so that the prior mean is 0.5 and the prior standard deviation is 0.2? b. In his first game against Nicholls State Ko made 2 foul shots out of 6 attempts. What was the posterior distribution for theta after this game? c. What...

Determine the escape velocity of a projectile fired from the Earth’s Surface, using a differential equation....

Determine the escape velocity of a projectile fired from the Earth’s Surface, using a differential equation. Compare this with the escape velocity of the other planets, including Pluto.

Given the following data for a stock: beta = 1.2; risk-free rate = 3%; market rate...

Given the following data for a stock: beta = 1.2; risk-free rate = 3%; market rate of return = 13%; and expected rate of return on the stock = 17%. Then the stock is: -overpriced -correctly priced -underpriced -cannot be determined

Find the equation of the tangent plane to the surface, (4x^2)(y^3) + (5yz) + (2xz^3) =...

Find the equation of the tangent plane to the surface, (4x^2)(y^3) + (5yz) + (2xz^3) = 7 at the point P(-1,1,1). Also nd the parametric equation of the normal line to that surface at that point . Sketch a picture that illustrates what this is all about.

Find the equation of the tangent plane to the surface x + y^2 + z^3 +...

Find the equation of the tangent plane to the surface x + y^2 + z^3 + sin(x − yz) = 7 at the point (2, 2, 1).

Given the surface x= (3 (y-1)^2)+ (2 (z+ 3)^2)+ 7. Find an equation of the tangent...

Given the surface x= (3 (y-1)^2)+ (2 (z+ 3)^2)+ 7. Find an equation of the tangent plane at the point(12,2,2) in four ways: a) By using the surface as given,x=h(y,z) b) By writing the surface as z=f(x,y)(only keep the square root whose sign corresponds to the point(12,2,2)). c) By writing the surface as y=g(x,z)(only keep the square root whose sign corresponds to the point(12,2,2)).

One theme in this module is the perceived tension between free exercise of religion (guaranteed under...

One theme in this module is the perceived tension between free exercise of religion (guaranteed under the 1st amendment to the Constitution) and equal protection under the law (guaranteed by the 14th amendment to the U.S. Constitution). Excerpt from 1st Amendment to the U.S. Constitution “Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble,...

Question