In general, the index of refraction may vary with depth; this can be treated by considering...

In general, the index of refraction may vary with depth; this can be treated by considering the medium as a sequence of thin layers. a) Starting from Snell’s law obtain a relation between dθ/dz and dn/dz . [Hint: Choose a thin layer going from z to z dz + and write n andθ in terms of z and z dz + , then apply Snell’s law to either side of the layer. ] b) Apply this result to an electromagnetic wave passing from air into the ionosphere where the electron density gradually increases from zero. Under what conditions will a wave with angle of incidence θ_1 be reflected back?

Expert Solution

genius_generous answered 2 years ago

We know that the index of refraction of materials can help identify those materials.

We know that the index of refraction of materials can help identify those materials. A light beam is shined onto a surface a reflected ray and is found to be completely polarized when the angle of incidence is 56.5°, (a) What is the index of refraction of the reflecting material? (b) What is the angle of refraction if some light passes through the surface of the material?

You can determine the index of refraction of a substance by determining its critical angle. (a)...

You can determine the index of refraction of a substance by determining its critical angle. (a) What is the index of refraction of a substance that has a critical angle of 32˚ when in air? (b) What would the critical angle be for this substance when submerged in water?

The glass core of an optical fiber has an index of refraction 1.60. The index of...

The glass core of an optical fiber has an index of refraction 1.60. The index of refraction of the cladding is 1.49. A) What is the maximum angle a light ray can make with the wall of the core if it is to remain inside the fiber? Express your answer with the appropriate units.

if we know that the index of refraction of a diamond is 2.15 and that a...

if we know that the index of refraction of a diamond is 2.15 and that a beam of light with a wavelength of 540 nm is the incident of the surface of the diamond then, a) what is the critical angle of the diamond, relative to the air? b) what is the frequency of light inside of the diamond?

1a. You can determine the index of refraction of a substance by determining its critical angle....

1a. You can determine the index of refraction of a substance by determining its critical angle. What is the index of refraction of a substance that has a critical angle of 62.0° when submerged in water? 1b. What is the substance? Options: diamond, fluorite, flint glass, ice, plexiglass, crystalline quartz, fused quartz, zircon 1c. What would the critical angle be for this substance in air?

A 269 nm thin film with index of refraction 1.71 floats on water (with index of...

A 269 nm thin film with index of refraction 1.71 floats on water (with index of refraction 1.333). What is the largest wavelength of reflected light for which constructive interference occur? Answer in units of m (for this part I got 1.84 x 10 ^-6 m) I need help with the second part of the question: What is the 2nd largest wavelength that interferes constructively? Answer in units of m.

a. Should the value for the index of refraction of the glass plate be the same...

a. Should the value for the index of refraction of the glass plate be the same for a white light source and for the laser? Explain. b. What does a fish in a lake see when it looks up toward the smooth surface of a lake?

what is the power of a mirror in water (with index of refraction 1.333) , if...

what is the power of a mirror in water (with index of refraction 1.333) , if a lens-clock (with index of refraction 1.530) measures the surface power of the mirror to be +8.5D in air (n=1)?

Given the angle of incidence and the angle of refraction, in a material of index of...

Given the angle of incidence and the angle of refraction, in a material of index of refraction n, find the speed of light in the material.

The walls of a soap bubble have about the same index of refraction as that of...

The walls of a soap bubble have about the same index of refraction as that of plain water, n=1.33, There is air both inside and outside the bubble. ( a) What wavelength ( in air) of visible light is most strongly reflected from a point on a soap bubble where its wall is 290 nm thick? To what color does this correspond?( b) Repeat part ( a) for a wall thickness of 340 nm.

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