Seeing the following backprojection image b,(x, y) for CT reconstruction, determine the value of the angle at which the projection data was measured: 60° + x +
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- A piece of jewelry consists of a sphere of quartz (n-1.5) embedded on a zircon (n-1.8) base as shown in the figure. A light ray traveling through the zircon strikes the spherical piece of quartz at an angle of incidence 8, as shown below. Which is the probable path that the ray of light could follow? Assume all incident angles are below their respective critical angles. The normals at each boundary are shown. Zircon n=1.8 Quartz n=1.5 Air n=1.0 A B CD m w u < 00000In acquiring a sequential CT image, the combination of X-ray tube and detector rotates as one unit to cover the 360 ̊ around the patient. (a) If the data has been acquired using 1800 projections, what is the angle that each projection covers? (b) If the CT gantry rotates one full cycle in 0.7 seconds, how long does it take to complete the data acquisition for each projection? (c) If there are 25 slices to be acquired, how long does it take to complete the total imaging session?The normal human eye has maximum visual acuity with a pupil size of about 3 mm. For larger pupils, acuity decreases due to increasing aberrations; for smaller pupils, acuity decreases due to increasing effects of diffraction. Ifyour pupil diameter is 2.0 mm, as it would be in fairly bright light, what is the smallest diameter circle that you can barely see as a circle, rather than just a dot, if the circle is at your near point, 25 cm from your eye? Assume the light’s wavelength in air is 600 nm and the index of refraction inside theeye is 1.33.
- Light enters a substance from air at 45.0° to the normal. It continues within the substance at 25.0° to the normal. What is the critical angle for this substance when it is surrounded by air? 25.2° O Othere is no critical angle O O 60.3° 90.0° 36.8° 45.2°A scene point with coordinate (X, Y, Z) = (α, β, γ) in the world is perspectively projected into an image at coordinate (x, y) = (δ, ϵ), where both coordinates are given in millimeters in the camera coordinate frame and the camera’s principal point is at coordinates (0, 0, f). The camera reference frame is translated ζ mm in the negative direction along the z-axis relative to the world reference frame. What are values for the camera intrinsics and extrinsics? Show all your work.A worm is 3 mm in size and occupies 60% of the FOV. What is the diameter of the FOV at this unknown magnification?
- Consider a refracting prism shown below. The face opposite the apex (top of the prism) is called the base. The total angle by which light changes direction is called the angle of deviation D. I A to a. Show that nprism = sin(A+D)/2/ sin (A/2) when light passes through the prism symmetrically such that the angles of incidence (1) and emergence (E) are equal (Assume the angle A is 60°) b. Find the deviation angles for blue and red light having indices of refraction 1.652 and 1.618 respectively. c. Sketch what happens when white light is incident on the prism. IThe provided image shows the steps to find the ray transfer matrix for a thick biconvex lens (n=1.5) with a radius of curvature for the front and back face of 10cm. If this was a thin lens, then element C of the ABCD matrix would equal -1/f. What thickness t gives you a 10% change in this C value? (List the thickness in cm)Light traveling through medium 3 (n3 = 2.4) is incident on the interface with medium 2 (n2 = 2.0) at angle θ. If light does enter into medium 2 but no light enters into medium 1 (n1 = 1.6), what can we conclude about the range of values for θ?