Question

Consider a ray propagating in the medium with the index of refraction n=n(x) (i.e.,n does not...

Consider a ray propagating in the medium with the index of refraction n=n(x) (i.e.,n does not depend on y,z). Show using the Eikonal equations that nsin(?) is a constant along the ray’s path, where ? is the angle between the ray’s propagation and the x axis.

Homework Answers

Answer #1

ekional equation suggests that in homogenous medium light travel in straight line we have to conisider ray trajectory to be constant

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a) The index of refraction of a certain substance is 1.63. Consider a ray of light...
a) The index of refraction of a certain substance is 1.63. Consider a ray of light in this substance, traveling toward a flat interface with another material of n = 1.34. What is the largest incident angle for which any light will transmit into the second medium? Express your answer in degrees. b) An object is 19.9 cm in front of a two-lens system. They are both converging lenses, with focal lengths f1 = 10.03 cm for the one closer...
How does light travel in a fibre optic cable? Draw the path of a light ray...
How does light travel in a fibre optic cable? Draw the path of a light ray having an angle of incidence of 75 degrees on an optical fibre with index of refraction n2=1.5 and where air is the external medium or n1=1. Can light ever leave the cable? What would happen if the cable were to be bent? What happens when a laser beam is passed through a prism? Is dispersion observed? What does it mean to say light is...
Probably still from our high-school days, we all remember the rules of reflection and refraction of...
Probably still from our high-school days, we all remember the rules of reflection and refraction of light at a plane interface, say between vacuum and a medium with refractive index n: α = α ′, sin α/ sin β = n. (3) Here we denoted the incident angle as α, the reflection angle α ′ and the refraction angle β. It is interesting to see if we have a similar situation for material quantum-mechanical waves. For this purpose, let us...
If the critical angle for light going from material X into water (n=1.33) is (32.0+C)o ,...
If the critical angle for light going from material X into water (n=1.33) is (32.0+C)o , what is the index of refraction for material X? Give your answer with 3 significant figures. C= 6 Consider a ray of white light incident from the air on a dispersive material at an angle of incidence of (42.5+A)o. The red light refracts to an angle of (29.5+B)o in the dispersive material. If the index of refraction for green light is 7.50% larger than...
A researcher is studying the properties of spherical bubbles of a fluid with index of refraction...
A researcher is studying the properties of spherical bubbles of a fluid with index of refraction ?? = 1.47. She has determined that, due to the action of gravity, the thickness ? of the thin bubble film varies with respect to the polar angle ? (measured from the vertical axis, as seen in the figure below), and follows the form: ?(?)=?0 +?1sin^4((?/2)) where ?0 and ?1 are constants, both > 0. Using a laser that has a variable wavelength, the...
Consider the function given byf(x, y) =((y^2−2^x)/(2x^2+y^2))^3.Show that lim(x,y)→(0,0)f(x, y)does not exist by computing the limit...
Consider the function given byf(x, y) =((y^2−2^x)/(2x^2+y^2))^3.Show that lim(x,y)→(0,0)f(x, y)does not exist by computing the limit along the positivex-axis and the positivey-axis.
Consider a simple cubic with a 6.0 Å lattice constant. The measurements of X-ray scattering from...
Consider a simple cubic with a 6.0 Å lattice constant. The measurements of X-ray scattering from the powder sample are carried out with a 1.5 Å X-ray source. (a) Using the diffraction condition relating G (a reciprocal lattice vector), k (the wave vector of the incident X-ray), and k' (the wave vector of the scattered X-ray) derive a relationship between |G|, |k|, and the scattering angle θ. (b) Write a symbolic expression for |G|. (c) Use the results of parts...
Consider the following Malthusian model where Y=zL1/2N1/2 and z=1. N is population and L is the...
Consider the following Malthusian model where Y=zL1/2N1/2 and z=1. N is population and L is the total land area. L is fixed. For the periods from 0 to T-1 the economy was at the steady state. However, at the beginning of time T, there was a sudden drop in z and stayed at the new, lower value for all the future periods. Plot the time path for each of the following three variables: c, N and Y. (Plot them on...
Consider the lines in space whose parametric equations are as follows line #1 x=2+3t, y=3-t, z=2t...
Consider the lines in space whose parametric equations are as follows line #1 x=2+3t, y=3-t, z=2t line #2 x=6-4s, y=2+s, z=s-1 a Find the point where the lines intersect. b Compute the angle formed between the two lines. c Compute the equation for the plane that contains these two lines
3. Consider the following two lines: x = c + t, y = 1 + t,...
3. Consider the following two lines: x = c + t, y = 1 + t, z = 5 + t and x = t, y = 1 - t, z = 3 + t. Is there a value c that makes the two lines intersect? If so, find it. Otherwise, give a reason. 4. A particle starts at the origin and moves along the shortest path to the line determined by the two points P =(1,2,3) and Q =(3,-2,-1)....