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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.
project
Clear definitions of, and rationale for defining variables as explanatory confounding (if required) effect modifying variables (if required) and rationale if the form
What is a pure spectrum? provide an example. What do you mean by impure spectrum? show an example.
Explain Thermal Physics and Quanmtum mechanics Thermal Physics , in which one studies the nature of heat and the changes that the addition of heat brings about in matter.
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(i) It is also known as impure semiconductor. (ii) The phenomena of adding impurity is known as Doping.
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Get an expression for the fringe width in the interference pattern due to Young's double slit.
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explain and illustrate how pure spectrum is formed
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