Birefringence and the refractive indexes for the two perpendicular polarization directions in calcite are given. A crystal of calcite serves as a quarter-wave plate; it converts linearly polarized light to circularly polarized light if the numbers of wavelengths within the crystal differ by one-fourth for the two polarization components. For light with wavelength 589 nm in air, what is the minimum thickness of a quarter-wave plate made of calcite?

Birefringence and the refractive indexes for the two perpendicular polarization directions in calcite are given. A crystal of calcite serves as a quarter-wave plate; it converts linearly polarized light to circularly polarized light if the numbers of wavelengths within the crystal differ by one-fourth for the two polarization components. For light with wavelength 589 nm in air, what is the minimum thickness of a quarter-wave plate made of calcite?

Similar questions

Unpolarized light passes through two Polaroid sheets. The transmission axis of the analyzer makes an angle of 42.2° with the axis of the polarizer. (a) What fraction of the original unpolarized light is transmitted through the analyzer? (Enter your answer to at least three decimal places.)(b) What fraction of the original light is absorbed by the analyzer?
Three polarizing filters are arranged in such a way that the axis of the transmission of the second filter is 10 degress with respect to the first filter. The third filter's axis is 20 degrees with respect to the second filter. Find the intensity of a light after passing from the first filter that has an intensity of 10 W/m^2. Assume that the first polarizer is an ideal polarizer.
Three polarizing sheets are placed in a stack with the polarizing directions of the first and third perpendicular to each other. What angle should the polarizing direction of the middle sheet make with the polarizing direction of the first sheet to obtain maximum transmitted intensity when unpolarized light is incident on the stack? 0° 15° 30° 45° 60° 75° 90°
A horizontal 5.0 mW laser beam that is vertically polarized is incident on a polarizing sheet that is oriented with its transmission axis vertical. Behind the first sheet is a second sheet that is oriented so that its transmission axis makes an angle of 30° with respect to vertical. What is the power of the beam transmitted through the second sheet? What would the power of the beam transmitted through the second sheet be if the lazer beam was Unpolarized?
An unpolarized beam of light with an intensity of 6000 W/m2 is incident on two ideal polarizing sheets. If the emerging light has an intensity 0.400 times the original intensity of the incident beam, what is the angle between the two polarizers? Select answer from the options below 0.464 rad 1.47 rad 0.412 rad 1.37 rad
Light reflected from a horizontal surface, such as a road or a lake, has a partial horizontal polarization. We can think of the light as a mixture of horizontally polarized light and unpolarized light. Suppose the reflected light from a road surface is 50%% polarized and 50%% unpolarized. The light intensity is 120 W/m2W/m2.
Please
In the figure, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of 01 = 36° with the direction of the y axis. What percentage of the light's initial intensity is transmitted by the 56°, 02 = 28°, and 03 %3D %3D system? Number Units Use correct number of significant digits; the tolerance is +/-1 in the 2nd significant digit
The drawing shows an edge-on view of the solar panels on a communications satellite. The dashed line specifies the normal to the panels. Sunlight stikes the panels at an angle with respect to the normal. If the solar power impinging on the panels is 1700 W when = 78°, what is it when = 39°? Number Mi Normal Sunlight Units
Problem 6: Suppose you have polarized light of intensity 140 W/m2. What will its intensity be after passing through a polarizing filter with its axis at an 84° angle relative to the light’s polarization direction? Give your answer in terms of mW/m2.
A beam of unpolarized light of intensity 4.04E3 W/m2 passes through a series of ideal polarizing filters with their polarizing directions turned to various angles as shown in the figure. If the middle polarizer is removed, what is the light intensity at point C (in W/m2)?
In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets. The angles 8₁, 82, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 8₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 82. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when 82 = 34⁰? (a) M 90° (b) 18002