Using Jones Matrix for a quarter-wave plate with fast axis vertigal
(1) Using Jones Matrix for a quarter-wave plate with fast axis vertigal, find the Jones Matrix for the same quarter-wave plate with 45 degree rotation.
(2) The Jones Matrix for the same quarter-wave plate with 30 degree rotation.
Homework Answers
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...
Right-circular light passes through a quarter-wave plate (QWP) with horizontal fast axis.
Right-circular light passes through a quarter-wave plate (QWP) with horizontal fast axis. What is the state of polarization of the light that emerges from the QWP.
Polarizers and a Quarter-Wave Plate
A monochromatic laser beam of intensity Io = 659 W/m2 is polarized in the y-direction and propagates in the positive z-direction. This beam is incident upon a quarter-wave plate whose fast axis makes an angle of 45 degrees with the x-axis as shown. Following the quarter-wave plate are two polarizers; the transmission axis of the first polarizer is aligned with the x-axis, while the transmission axis of the second polarizer makes an angle of θ1 = 72 degrees with the...
#6. (10 points) Using Jones vectors and matrices: Suppose right-circularly polarized light is incident on a...
#6. (10 points) Using Jones vectors and matrices: Suppose right-circularly polarized light is incident on a quarter wave plate with fast axis at an angle to the x-axis. Show that the output is linearly polarized and find the polarization angle.
Derive the Jones matrix, Eq. (14-15),representing a linear polarizer whose transmission axis is at arbitrary angle...
Derive the Jones matrix, Eq. (14-15),representing a linear
polarizer whose transmission axis is at arbitrary angle θ with
respect to the horizontal #question: anyone can help to solution it
by use method in second image. ***** thoroughly solution
********
M-Linoso, cos2 θ sin θ cos θ sin θ cos θ linear polarizer, TA at θ (14-15) sin 2 θ tion 14-2 Mathematical Representation of Potarize simultancously present at each point along the axis The fast axis nd slow axis (SA)...
10. Linear light polarized in the x-direction, Ē=iE, cos(k-ot), passes through a quarter-wave pla...
10. Linear light polarized in the x-direction, Ē=iE, cos(k-ot), passes through a quarter-wave plate whose fast axis is π6 rad above the x-axis, write down the electric field of the emerging light. What is the resulting polarization?
10. Linear light polarized in the x-direction, Ē=iE, cos(k-ot), passes through a quarter-wave plate whose fast axis is π6 rad above the x-axis, write down the electric field of the emerging light. What is the resulting polarization?
Most popular application of wave plates is that they can act as polarization rotators when the...
Most popular application of wave plates is that they can act as polarization rotators when the phase retardation is a (Half-Wave Plate, HWP). Show from Jones matrices that linearly polarized light after passing through a HWP is still linearly polarized but with a different direction of polarization. What is the angle of rotation for linearly polarized light with an inclination angle of 0 (e.g., relative to the fast axis FA)?
Using a quarter-wave plate and a polarizer, how would you distinguish randomly polarized light from circularly...
Using a quarter-wave plate and a polarizer, how would you distinguish randomly polarized light from circularly polarized light?
16.1.4 The square plate OABC shown in the figure measures l = 1 m on a...
16.1.4 The square plate OABC shown in the figure measures l = 1 m on a side. The coordinate axes x'y' are fixed to the plate and the axes xy are fixed in space. The plate is rotated by an angle = 60° as shown. a) Find the coordinates x' and y' of the corner point B in the rotated frame. b) Find the coordinates x and y of the same point in the fixed frame with- out using the...
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...
#6. (10 points) Using Jones vectors and matrices: Suppose right-circularly polarized light is incident on a quarter wave plate with fast axis at an angle to the x-axis. Show that the output is linearly polarized and find the polarization angle.
Derive the Jones matrix, Eq. (14-15),representing a linear
polarizer whose transmission axis is at arbitrary angle θ with
respect to the horizontal #question: anyone can help to solution it
by use method in second image. ***** thoroughly solution
********
M-Linoso, cos2 θ sin θ cos θ sin θ cos θ linear polarizer, TA at θ (14-15) sin 2 θ tion 14-2 Mathematical Representation of Potarize simultancously present at each point along the axis The fast axis nd slow axis (SA)...
10. Linear light polarized in the x-direction, Ē=iE, cos(k-ot), passes through a quarter-wave plate whose fast axis is π6 rad above the x-axis, write down the electric field of the emerging light. What is the resulting polarization?
10. Linear light polarized in the x-direction, Ē=iE, cos(k-ot), passes through a quarter-wave plate whose fast axis is π6 rad above the x-axis, write down the electric field of the emerging light. What is the resulting polarization?
Most popular application of wave plates is that they can act as polarization rotators when the phase retardation is a (Half-Wave Plate, HWP). Show from Jones matrices that linearly polarized light after passing through a HWP is still linearly polarized but with a different direction of polarization. What is the angle of rotation for linearly polarized light with an inclination angle of 0 (e.g., relative to the fast axis FA)?
16.1.4 The square plate OABC shown in the figure measures l = 1 m on a side. The coordinate axes x'y' are fixed to the plate and the axes xy are fixed in space. The plate is rotated by an angle = 60° as shown. a) Find the coordinates x' and y' of the corner point B in the rotated frame. b) Find the coordinates x and y of the same point in the fixed frame with- out using the...
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