(25 points) The figure below shows a thin film, of a transparent material of thickness d...
(25 points) The figure below shows a thin film, of a transparent material of thickness d and index of refraction nfwhere n2 > nf > n1. Monochromatic light of wavelength 600nm is incident onto the thin film.
a. For what three smallest film thicknesses, d, will reflected light-rays-1 and -2 interfere constructively?
b. For what three smallest film thicknesses, d, will reflected light-rays-1 and -2 interfere destructively?
Homework Answers
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(25 points) The figure below shows a thin film, of a transparent
material of thickness d...
A thin film of olive oil (index of refraction noil = 1.46) of thickness d is...
A thin film of olive oil (index of refraction noil = 1.46) of thickness d is floating on the surface of still water (index of refraction nwater = 1.33). The index of refraction of air is nair = 1.00. A red laser of wavelength λ=600nm=6.00×10−7m is incident on the film of olive oil from above as shown. The laser reflects at the air-oil and oil-water interfaces and interferes with itself. Answer the following questions: 1. What does the thickness d...
A thin film of olive oil (index of refraction noil = 1.46) of thickness d is...
A thin film of olive oil (index of refraction
noil = 1.46) of thickness d is
floating on the surface of still water (index of refraction
nwater = 1.33). The index of refraction of air
is nair = 1.00.
A red laser of wavelength
λ=600nm=6.00×10−7m is incident on the film of olive oil from above
as shown. The laser reflects at the air-oil and oil-water
interfaces and interferes with itself.
Answer the following questions:
1. What does the thickness d...
In thin film interference, an (a) incident wave reflects off of the front interface of the...
In thin film interference, an (a) incident wave reflects off of the front interface of the thin film and (b) refracts into the thin film.This refracted wave then (c) reflects off of the back interface of the thin film yet also (d) transmits through the film.This reflected wave then (e) refracts back through the front interface of the thin film in order to interfere with the wave that initially reflected off of the front interface.Apply the Fresnel equations that we...
The reflection of light from the thin film of thickness t as shown in the figure...
The reflection of light from the thin film of thickness t as
shown in the figure appears violet (400nm) when viewed from above.
This means the two rays reflecting off of the two surfaces
interfere constructively. t is the minimum thickness. The dark grey
material has a higher index of refraction than the light grey with
the white being air. For what minimum thickness relative to t would
it need to be for the film to now appear red (700nm)...
Monochromatic light of wavelength, λ is traveling in air. The light then strikes a thin film...
Monochromatic light of wavelength, λ is traveling in air. The light then strikes a thin film having an index of refraction n1 that is coating a material having an index of refraction n2. If n2 is larger than n1, what minimum film thickness will result in maximum reflection of this light? A B C D E F G H I J A λ/n1 B λ/4 C λ D λ/(4n2) E λ/n2 F λ/(2n1) G λ/(4n1) H λ/2 I λ/(2n2) J...
Monochromatic light of wavelength, λ is traveling in air. The light then strikes a thin film...
Monochromatic light of wavelength, λ is traveling in air. The light then strikes a thin film having an index of refraction n1 that is coating a material having an index of refraction n2. If n1 is larger than n2, what minimum film thickness will result in minimum reflection of this light? A B C D E F G H I J A λ/(4n2) B λ/n2 C λ/(4n1) D λ/(2n1) E λ/4 F λ G λ/2 H λ/(2n2) I λ/n1 J...
I I know that the thickness = lambda/(2nsin 30) BUT why? I've also attached some notes I have! (P...
I
I know that the thickness = lambda/(2nsin 30) BUT why?
I've also attached some notes I have!
(Please explain using diagram and words for me to rate
the answer)
We were unable to transcribe this imageThin-Film Interference When light is incident on a thin transparent film, the light waves reflected from the front and back surfaces interfere. For near-normal incidence, the wavelength con ditions for maximum and minimum intensity of the light reflected from a film in air are...
In our study of thin film interference we have seen that when light strikes a surface...
In our study of thin film interference we have seen that when light strikes a surface with a different index of refraction the incident light splits into 2 reflected beams and 2 refracted beams. The total phase difference between any two interference. This will to the two general cases described below. For each case give several applications of this situation adjacent beams can lead to either constructive or destructive 17 Case I: Beams 1 & 2 interfere constructively (maximum reflection.,)...
Wave Optics CHAPTER 17 17-5 17.4 Thin-Film Interference oure shows a wave transmitted from air through...
Wave Optics CHAPTER 17 17-5 17.4 Thin-Film Interference oure shows a wave transmitted from air through a thin oil film on water. The film has a kness t oil/2, where Noil is the wavelength of the light while in the oil. 2. The fi nicna n1 1.00 n2 1403 1.33 a. Referring to the indices of refraction shown on the figure, indicate at each boundary with a Y (yes) or N (no) whether the reflected wave undergoes a phase change...
Help me with this HW problem. Please show all the steps #3) A uniform thin film...
Help me with this HW problem. Please show all the steps
#3) A uniform thin film of oil lies on a flat window glass. when monochromatic light, which wavelength can be changed, is incident normally, the reflected light is minimum for 443 nm and maximum for 553.75 nm wavelength. What is the minimum thickness of the film? Index of refraction of oil is 1.47 and index of refraction of window glass is 1.52.
A thin film of olive oil (index of refraction
noil = 1.46) of thickness d is
floating on the surface of still water (index of refraction
nwater = 1.33). The index of refraction of air
is nair = 1.00.
A red laser of wavelength
λ=600nm=6.00×10−7m is incident on the film of olive oil from above
as shown. The laser reflects at the air-oil and oil-water
interfaces and interferes with itself.
Answer the following questions:
1. What does the thickness d...
The reflection of light from the thin film of thickness t as
shown in the figure appears violet (400nm) when viewed from above.
This means the two rays reflecting off of the two surfaces
interfere constructively. t is the minimum thickness. The dark grey
material has a higher index of refraction than the light grey with
the white being air. For what minimum thickness relative to t would
it need to be for the film to now appear red (700nm)...
I
I know that the thickness = lambda/(2nsin 30) BUT why?
I've also attached some notes I have!
(Please explain using diagram and words for me to rate
the answer)
We were unable to transcribe this imageThin-Film Interference When light is incident on a thin transparent film, the light waves reflected from the front and back surfaces interfere. For near-normal incidence, the wavelength con ditions for maximum and minimum intensity of the light reflected from a film in air are...
In our study of thin film interference we have seen that when light strikes a surface with a different index of refraction the incident light splits into 2 reflected beams and 2 refracted beams. The total phase difference between any two interference. This will to the two general cases described below. For each case give several applications of this situation adjacent beams can lead to either constructive or destructive 17 Case I: Beams 1 & 2 interfere constructively (maximum reflection.,)...
Wave Optics CHAPTER 17 17-5 17.4 Thin-Film Interference oure shows a wave transmitted from air through a thin oil film on water. The film has a kness t oil/2, where Noil is the wavelength of the light while in the oil. 2. The fi nicna n1 1.00 n2 1403 1.33 a. Referring to the indices of refraction shown on the figure, indicate at each boundary with a Y (yes) or N (no) whether the reflected wave undergoes a phase change...
Help me with this HW problem. Please show all the steps
#3) A uniform thin film of oil lies on a flat window glass. when monochromatic light, which wavelength can be changed, is incident normally, the reflected light is minimum for 443 nm and maximum for 553.75 nm wavelength. What is the minimum thickness of the film? Index of refraction of oil is 1.47 and index of refraction of window glass is 1.52.
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