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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.
A scooterist is racing at a speed of 72 km per hour. If the radius of the wheel is 20 cm, find the angular speed of the wheels. Ans) 72kmph=20m/s 20cm=0.2m; v=rw w=v/r w=20/0
In this type of capacitors the dielectric consists of an extremely thin film of aluminium oxide formed on one of its aluminium foil plates. Intimate contact with the other plates i
Path of a projectile The apparatus below can be used to indicate the independence of the horizontal and vertical velocities of a projectile. The projectile is a metal ball, and
The truss shown below supports is fastened to the supports at A & E. Each member of the truss is made of the same uniform material that has a weight in kiloNewtons per metre (kN/m
what is main requirements for any thin film process
Explain Friction Force (Ffrict) Force exerted by a surface as an object moves across it or makes an effort to move across it. There are 2 parts of friction force - sliding and
Explain 'drift velocity of free electrons'? Derive Ohm's law on the basis of the theory of electron drift.
terrestrial telescope
A negative point charge of 10 -6 coulomb is located in air at the origin of a rectangular coordinate system. A second negative point charge of 10 -4 is situated on the positive x
The rate of change of angular velocity with related to time is known as angular acceleration.
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