11. Explain how the superposition of two polarized ways results in right circularly polarized light.
Suppose you superimpose two linearly polarised electromagnetic waves with the same amplitude and frequency but where there electric field vector in one case oscillates, say in the xz plane, and in the other case it oscillates in the yz plane. Suppose the waves propagate in the z-direction. If the two waves have a phase shift of exactly one quarter of the wavelength. We obtain the light wave where the resulting electric field vector at any point a along the z-direction turns around on a circle either clock-wise or anti clock-wise. This is why we call this light wave circularly polarized.
This is how the superimposition of two plane polarised light results in right circularly polarised light. p
11. Explain how the superposition of two polarized ways results in right circularly polarized light.
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.
3) Consider a circularly polarized light reflecting from a boundary between two dielectric materials characterized by & and E2. (a) Assume the incident light is normal to the interface (0-0) will the reflected wave be circularly polarized? (b) Assume r < E2 and >0 will the reflected wave be circularly polarized? (c) Assume eE2 and 0> 0c so there is total internal reflection. Will the reflected light be circularly polarized? 3) Consider a circularly polarized light reflecting from a boundary...
#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.
Using a quarter-wave plate and a polarizer, how would you distinguish randomly polarized light from circularly polarized light?
3. Left circularly polarized light rotates counterclockwise viewed head on. It's complex notation is (a) By taking the real part of this expression, trace out the path of the E-vector in time. (b) This light hits a mirror placed at -0. In order to zero the component of the electric field, the outgoing wave is Notice the negative sign in front of kz, indicating the direction has reversed. In looking at this light head-on, does the light rotate clockwise or...
Describe what is meant by linear, circular and elliptical polarization. List two uses of circularly polarized light. polarized electromagnetic waves, including one which uses Describe what is meant by linear, circular and elliptical polarization. List two uses of circularly polarized light. polarized electromagnetic waves, including one which uses
Describe the State Of Polarization of the Left handed circularly polarized light which is passing through an 1/8 wave plate, using the jones matrix.
. A clockwise circularly polarized light ( 0.688 um) described by: E, -E cos(ot -kx)j - E, sin(at -la)k is incident on an x-cut calcite crystal (no- 1.658, e 1.486) of thickness d 0.006 mm. (a) Find the expression of the emergent Eout field and its state of polarization (b) Repeat (a) for x-cut quartz crystal, (no-1.544, 1.553) of thickness d -0.025 mm
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...
Optical rotation power of a quartz crystal plate is ? 21.7'/mm for a sodium yellow light 589.3 nm). When placing this crystal plate between two linear polarizers in which the transmitted axes are perpendicular (a 90). In order to make the transmitted light have the maximum intensity, compute the minimum thickness of the crystal plate () and refraction index difference of the right and left circularly polarized light (An = nR-nL).