Consider a loop of optical fibre. This is a resonator. Clockwise and anticlockwise modesaredegene...
Consider a loop of optical fibre. This is a resonator. Clockwise and anticlockwise modesaredegenerate. Iftheloopisrotating atangularfrequency Ω, what happens to the clockwise and anticlockwise resonant frequencies?
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Consider a loop of optical fibre. This is a resonator. Clockwise and anticlockwise modesaredegene...
3. Consider an optical resonator made of two mirrors, one concave with radius of curvature R...
3. Consider an optical resonator made of two mirrors, one concave with radius of curvature R and a planar mirror. The separation d= R/2. Such a resonator is called hemispherical cavity. From the ray matrix formalism, calculate the condition for re-entrant rays, as we have done in class but for confocal cavity. - Points: 2
Consider a cavity resonator of dimensions 25 cm × 25 cm × 22 cm. (a) Calculate...
Consider a cavity resonator of dimensions 25 cm × 25 cm × 22 cm. (a) Calculate resonant frequencies for the modes with the four lowest frequencies. (b) Describe how the lowest frequency mode satisfies the electric field boundary conditions at the walls of the cavity. c) Where in the cavity does this mode have its highest intensity? Explain your reasoning.
Consider a cavity resonator of dimensions 25 cm × 25 cm × 22 cm. (a) Calculate resonant frequencies for the modes with the four lowest frequencies. (b) Describe how the lowest frequency mode satisfie...
Consider a cavity resonator of dimensions 25 cm × 25 cm × 22 cm. (a) Calculate resonant frequencies for the modes with the four lowest frequencies. (b) Describe how the lowest frequency mode satisfies the electric field boundary conditions at the walls of the cavity. c) Where in the cavity does this mode have its highest intensity? Explain your reasoning.
Consider a cavity resonator of dimensions 25 cm × 25 cm × 22 cm. (a) Calculate resonant frequencies for the...
PLZ answer Both question with working Cheers Question 3 10 pts An optical fibre has a...
PLZ answer Both question with working
Cheers
Question 3 10 pts An optical fibre has a core diameter of 11 um, and an acceptance angle in air of 0.037 radians. Above what operating wavelength is the fibre single mode? 1.55 pm 1.36 um 0.09 um 1.31 pm O 0.43 um 2.71 um Question 4 10 pts An optical source has a spectral width of 4 nm. What type of optical source is it likely to be? OLED O Laser Diode...
Problem 2. Consider a random walk on the n cycle {1,2,...,n} that moves anticlockwise with probability 1/2 and clockwis...
Problem 2. Consider a random walk on the n cycle {1,2,...,n} that moves anticlockwise with probability 1/2 and clockwise with probability 1/2. Define the function n-k f(x)k に1,2, . . . , n. show that f is harmonic on the set D = {2,3, , n-1).
Problem 2. Consider a random walk on the n cycle {1,2,...,n} that moves anticlockwise with probability 1/2 and clockwise with probability 1/2. Define the function n-k f(x)k に1,2, . . . , n. show...
Problem 1: Fibre optics (2 points) Figure 1: Sketches of the geometry of an optical fibre...
Problem 1: Fibre optics (2 points) Figure 1: Sketches of the geometry of an optical fibre A long cylinder of dielectric material can guide light via total internal reflection. This idea dates back to the 1870s and forms the basis of the modern fibre optics communication technology. As long as the diameter of these fibres is large compared to the wavelength of the infalling light, its wave nature is negligible and we can use Geometric Optics to study the propagation...
Graded-index plastic optical fibre (GI POF) is expected to be used for high- speed local area...
Graded-index plastic optical fibre (GI POF) is expected to be used for high- speed local area networks (LANS) because of its large core which allows for low cost and easy installation. A particular GI POF has a core diameter of 200um, a maximum core index of 1.500 and a numerical aperture of 0.30. 2.c.i 2.c.ii What is the maximum acceptance angle for this fibre? [2 marks] What is the refractive index of the cladding material for this fibre? 12 marks/...
Use voltage rise and voltage drop with respect to a clockwise loop. Nodal analysis In Exercises...
Use voltage rise and voltage
drop with respect to a clockwise loop. Nodal analysis
In Exercises 5-8, analyze the given electrical circuits by finding the unknown currents. 5. 8V + 2 Ωs |Ι 2 Ωξ | Ι, 15 4Ω + 6V 6. 6Ω + 2V 4 Ω 1V + 2Ω 7. 20 Ω Ι4 15 10 V 20 Ω 12 20 Ω 13 10 V 20 Ω
A. Write Kirchhoff's loop rule (clockwise) for the circuit shown in (Figure 1). B. Determine the...
A. Write Kirchhoff's loop rule (clockwise) for the circuit shown
in (Figure 1).
B. Determine the current in the circuit for the case in which ε1
= 20.0 V, ε2 = 8.0 V, R1 = 30.0 Ω, R2 = 20.0 Ω, and R3 = 10.0
Ω.
C. Using this value of current, start at position A and move
clockwise around the circuit, calculating the electric potential
change across each element in the circuit (be sure to indicate the
sign of...
Consider a conducting loop placed on a horizontal plane in a region of uniform magnetic field...
Consider a conducting loop placed on a horizontal plane in a region of uniform magnetic field directed downward. If the magnitude of the magnetic field begins to decrease, what will the direction of the induced current in the loop be? Select one: a. Clockwise, so that the magnetic field of the loop is upward b. Clockwise, so that the magnetic field of the loop is downward c. Counterclockwise, so that the magnetic field of the loop is upward d. Counterclockwise,...
3. Consider an optical resonator made of two mirrors, one concave with radius of curvature R and a planar mirror. The separation d= R/2. Such a resonator is called hemispherical cavity. From the ray matrix formalism, calculate the condition for re-entrant rays, as we have done in class but for confocal cavity. - Points: 2
Consider a cavity resonator of dimensions 25 cm × 25 cm × 22 cm. (a) Calculate resonant frequencies for the modes with the four lowest frequencies. (b) Describe how the lowest frequency mode satisfies the electric field boundary conditions at the walls of the cavity. c) Where in the cavity does this mode have its highest intensity? Explain your reasoning.
Consider a cavity resonator of dimensions 25 cm × 25 cm × 22 cm. (a) Calculate resonant frequencies for the modes with the four lowest frequencies. (b) Describe how the lowest frequency mode satisfies the electric field boundary conditions at the walls of the cavity. c) Where in the cavity does this mode have its highest intensity? Explain your reasoning.
Consider a cavity resonator of dimensions 25 cm × 25 cm × 22 cm. (a) Calculate resonant frequencies for the...
PLZ answer Both question with working
Cheers
Question 3 10 pts An optical fibre has a core diameter of 11 um, and an acceptance angle in air of 0.037 radians. Above what operating wavelength is the fibre single mode? 1.55 pm 1.36 um 0.09 um 1.31 pm O 0.43 um 2.71 um Question 4 10 pts An optical source has a spectral width of 4 nm. What type of optical source is it likely to be? OLED O Laser Diode...
Problem 2. Consider a random walk on the n cycle {1,2,...,n} that moves anticlockwise with probability 1/2 and clockwise with probability 1/2. Define the function n-k f(x)k に1,2, . . . , n. show that f is harmonic on the set D = {2,3, , n-1).
Problem 2. Consider a random walk on the n cycle {1,2,...,n} that moves anticlockwise with probability 1/2 and clockwise with probability 1/2. Define the function n-k f(x)k に1,2, . . . , n. show...
Problem 1: Fibre optics (2 points) Figure 1: Sketches of the geometry of an optical fibre A long cylinder of dielectric material can guide light via total internal reflection. This idea dates back to the 1870s and forms the basis of the modern fibre optics communication technology. As long as the diameter of these fibres is large compared to the wavelength of the infalling light, its wave nature is negligible and we can use Geometric Optics to study the propagation...
Graded-index plastic optical fibre (GI POF) is expected to be used for high- speed local area networks (LANS) because of its large core which allows for low cost and easy installation. A particular GI POF has a core diameter of 200um, a maximum core index of 1.500 and a numerical aperture of 0.30. 2.c.i 2.c.ii What is the maximum acceptance angle for this fibre? [2 marks] What is the refractive index of the cladding material for this fibre? 12 marks/...
Use voltage rise and voltage
drop with respect to a clockwise loop. Nodal analysis
In Exercises 5-8, analyze the given electrical circuits by finding the unknown currents. 5. 8V + 2 Ωs |Ι 2 Ωξ | Ι, 15 4Ω + 6V 6. 6Ω + 2V 4 Ω 1V + 2Ω 7. 20 Ω Ι4 15 10 V 20 Ω 12 20 Ω 13 10 V 20 Ω
A. Write Kirchhoff's loop rule (clockwise) for the circuit shown
in (Figure 1).
B. Determine the current in the circuit for the case in which ε1
= 20.0 V, ε2 = 8.0 V, R1 = 30.0 Ω, R2 = 20.0 Ω, and R3 = 10.0
Ω.
C. Using this value of current, start at position A and move
clockwise around the circuit, calculating the electric potential
change across each element in the circuit (be sure to indicate the
sign of...
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