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1. A very narrow laser beam is shone into a sphere of solid glass that has uniform refractive index n>1 and radius ρ . The beam makes an angle α in air with the normal to the surface of the sphere.
Sketch the path of the beam in the circular cross-section of the sphere defined by the normal and the beam direction and show all reflected and transmitted rays. Using Snell's Law at each reflection, explain why the beam cannot become a whispering gallery ray propagating around the inner surface of the sphere.
2. An asymmetric, multimode, step-profile slab waveguide has a core index of 1.5. The cladding index above the core has value 1.49 and the cladding index below the core has value 1.48. Rays propagate in the core in the x-z plane and make an angle θz relative to the z-axis along the centre of the waveguide.
(a) Determine the range of (positive) values of θz in degrees for which only bound rays will propagate along the waveguide.
(b) How many different types of rays can propagate along the waveguide?
Sketch a typical path for each type of ray.
(c) Determine the values of θz in degrees that delineate between the 3 types of ray paths.
Assume that two linked pistons are both cylindrical in shape. Show that the ratio of forces generated is directly proportional to the square of the radii of the two cross-sect
The digital circuit that can be examined with the help of Boolean algebra is known as logic circuit or logic gate. A logic circuit has two or more inputs but only one output. Th
A mass floats with 1/3rd of its volume outside water what will be its relative density? Ans) 8/3 g/cc
Draw the v-t graph of an automobile that accelerates uniformly from rest at t = 0.00 s and covers a distance of 180.0 m in 12.0 s.
What are steps in splicing process included? Steps involved in splicing process are as follows: For a good quality splicing, the given steps are to be followed. a. Jacke
sir in books like hc verma i have seen if centre of mass remains at rest... then mx = mX...how?
neutral point
How do you make a model of a free body diagram for a science project?
a mild steel wire of length 1mand cross sectional area 0./10^2 cm^2 is stretched. within the elastic limit horizontally between two pillars. a mass of 100g is suspended from the mi
Current time base generator
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