if we identify the TM component as x component, and the TE component as y component....
if we identify the TM component as x component, and the TE component as y component. Please use the reflection matrix to verify that if the incident light is left circular polarized, the reflected light will be right circular polarized
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if we identify the TM component as x component, and the TE
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HW 4 Submission date: 10/01/2018 before 12:00 AM, bring to my office. Answer to the following...
HW 4 Submission date: 10/01/2018 before 12:00 AM, bring to my office. Answer to the following questions. Give mathematical expressions and physical explanations if it is necessary What is polarization of light? (Electromagnetic formulations should be given) What is the difference between polarized light and nonpolarized light? How can polarized light be created? (Explain in detail the physical background) Polarization states: Linear, Circular and Elliptic (Give mathematical formulations and draw graphics) TM and TE polarizations: Reflection and Refraction (Mathematical formulations)...
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for...
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: Answer: Гтм 1/2 cos 0, -- cose; 12 cos 6, +91 cose 6.8.2 TM Polarization Oblique incidence of a TM polarized wave is indicated in Figure 6.23. Now all of the magnetic fields are tangential to the boundary, but only the x component of the electric field is tangential. Analysis reveals that...
Rays of sunlight traveling in the x-y plane reflect off of a glass window which lies...
Rays of sunlight traveling in the x-y plane reflect off of a glass window which lies in the x-z plane. The sunlight has an incident angle of 30° The reflected light may be partially polarized along which axis? The answer is the z axis, but I'm not sure how? Please explain
3. (20 points) Left and right circularly polarized light are described by state vectors: R)and ))...
3. (20 points) Left and right circularly polarized light are described by state vectors: R)and )) IL) - 2 a. Find an operator that describes a filter that passes right-circularly polarized light. b. Light polari zed along the x direction is incident on this filter. Find the probability that this light passes through the filter and emerges polarized along y.
can you sketch the answer too 4. Case: Incident light is circularly polarized The calcite material is a half wave pl...
can you sketch the answer too
4. Case: Incident light is circularly polarized The calcite material is a half wave plate HWP polarized light Incident light: Clockwise rotation when seen from the side in which light propagates and into the source Sketch your answer here also Notice the different labels of the axis compared to the previous questions. i) Provide an expression for the fields Elx.t) and Eyx.) in the region x<0 Provide an expression for the fields E(x,t) and...
Problem 3. (15 points in total) Quarter-wave retarder. The quarter-wave plate transforms light initially linearly polarized at an angle 45 (oscillating in the first and third quadrants) into righ...
Problem 3. (15 points in total) Quarter-wave retarder. The quarter-wave plate transforms light initially linearly polarized at an angle 45 (oscillating in the first and third quadrants) into right- circular light (rotating clockwise looking toward the source) when the fast axis of the waveplate is located vertically as shown in Figure 1 Prove that A(L)A(Qy)A(+45) where A is Jones matrix for L, Qy +45 which means left circular polarization, quarter-waveplate (fast axis on y-axis), +45 linear polarization. Fast axis wave...
4. This problem deals with Jones calculus. An optical rotator is a polarization element that rota...
3
4. This problem deals with Jones calculus. An optical rotator is a polarization element that rotates the linear polarization state of an incident field by an angle φ. The Jones matrix for an optical rotator can be given like so cosφ sin φ -sin φ cos φ (a 1pt) Using the Jones calculus show that the linear polarization of a field initially polarized along the x-axis is rotated by the optical rotator. (b 1pt) Show that for an initial...
Linearly polarized along x 0 Linearly polarized along y 0 Linearly polarized at angle α (measured...
Linearly polarized along x 0 Linearly polarized along y 0 Linearly polarized at angle α (measured from the x-axis) cos α sin α Right circularly polarized Left circularly polarized Table 6.1 Jones Vectors for several common polarization states. Screen Shot 2018-12-03 at 11.14.25 AM Search (a) Suppose that linearly polarized light is oriented at an angle α with respect to the horizontal or x-axis (see table 6.1). What fraction of the original intensity gets through a vertically oriented polarizer? (b)...
This is a problem on electrodynamics for EM waves in conductors (Please see the translation attached!) Metals Reflection and phase change: We have one EM wave (see the equation below) with frequency ω...
This is a problem on electrodynamics for EM waves in
conductors (Please see the translation attached!)
Metals Reflection and phase change:
We have one EM wave (see the equation below) with frequency ω
incident on a metal plane with high conductivity and a constant
dielectric with ε =2 (see the number below)
For the reflected wave (see the equation E(R)), calculate the
difference between the phases of the incident wave and the
reflected wave for the two linear polarization (Electric...
Let f(x) = - *-5 + 7. Graph f(x) using transformations. (a) Identify the transformations used...
Let f(x) = - *-5 + 7. Graph f(x) using transformations. (a) Identify the transformations used to graph f(x). Select all that apply. shifted left 5 units shifted down 7 units shifted down 6 units reflected over the y-axis shifted up 7 units shifted right 5 units horizontally compressed horizontally stretched vertically stretched vertically compressed shifted up 6 units shifted left 7 units reflected over the c-axis shifted right 7 units (b) Identify the important point of f(x). (c) Identify...
HW 4 Submission date: 10/01/2018 before 12:00 AM, bring to my office. Answer to the following questions. Give mathematical expressions and physical explanations if it is necessary What is polarization of light? (Electromagnetic formulations should be given) What is the difference between polarized light and nonpolarized light? How can polarized light be created? (Explain in detail the physical background) Polarization states: Linear, Circular and Elliptic (Give mathematical formulations and draw graphics) TM and TE polarizations: Reflection and Refraction (Mathematical formulations)...
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: Answer: Гтм 1/2 cos 0, -- cose; 12 cos 6, +91 cose 6.8.2 TM Polarization Oblique incidence of a TM polarized wave is indicated in Figure 6.23. Now all of the magnetic fields are tangential to the boundary, but only the x component of the electric field is tangential. Analysis reveals that...
3. (20 points) Left and right circularly polarized light are described by state vectors: R)and )) IL) - 2 a. Find an operator that describes a filter that passes right-circularly polarized light. b. Light polari zed along the x direction is incident on this filter. Find the probability that this light passes through the filter and emerges polarized along y.
can you sketch the answer too
4. Case: Incident light is circularly polarized The calcite material is a half wave plate HWP polarized light Incident light: Clockwise rotation when seen from the side in which light propagates and into the source Sketch your answer here also Notice the different labels of the axis compared to the previous questions. i) Provide an expression for the fields Elx.t) and Eyx.) in the region x<0 Provide an expression for the fields E(x,t) and...
Problem 3. (15 points in total) Quarter-wave retarder. The quarter-wave plate transforms light initially linearly polarized at an angle 45 (oscillating in the first and third quadrants) into right- circular light (rotating clockwise looking toward the source) when the fast axis of the waveplate is located vertically as shown in Figure 1 Prove that A(L)A(Qy)A(+45) where A is Jones matrix for L, Qy +45 which means left circular polarization, quarter-waveplate (fast axis on y-axis), +45 linear polarization. Fast axis wave...
3
4. This problem deals with Jones calculus. An optical rotator is a polarization element that rotates the linear polarization state of an incident field by an angle φ. The Jones matrix for an optical rotator can be given like so cosφ sin φ -sin φ cos φ (a 1pt) Using the Jones calculus show that the linear polarization of a field initially polarized along the x-axis is rotated by the optical rotator. (b 1pt) Show that for an initial...
Linearly polarized along x 0 Linearly polarized along y 0 Linearly polarized at angle α (measured from the x-axis) cos α sin α Right circularly polarized Left circularly polarized Table 6.1 Jones Vectors for several common polarization states. Screen Shot 2018-12-03 at 11.14.25 AM Search (a) Suppose that linearly polarized light is oriented at an angle α with respect to the horizontal or x-axis (see table 6.1). What fraction of the original intensity gets through a vertically oriented polarizer? (b)...
This is a problem on electrodynamics for EM waves in
conductors (Please see the translation attached!)
Metals Reflection and phase change:
We have one EM wave (see the equation below) with frequency ω
incident on a metal plane with high conductivity and a constant
dielectric with ε =2 (see the number below)
For the reflected wave (see the equation E(R)), calculate the
difference between the phases of the incident wave and the
reflected wave for the two linear polarization (Electric...
Let f(x) = - *-5 + 7. Graph f(x) using transformations. (a) Identify the transformations used to graph f(x). Select all that apply. shifted left 5 units shifted down 7 units shifted down 6 units reflected over the y-axis shifted up 7 units shifted right 5 units horizontally compressed horizontally stretched vertically stretched vertically compressed shifted up 6 units shifted left 7 units reflected over the c-axis shifted right 7 units (b) Identify the important point of f(x). (c) Identify...
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