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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.
The electric field and electric potential at any point because of a point charge kept in air is 20 NC -1 and 10 JC -1 respectively. Compute the magnitude of this charge.
How long does it take for reach that speed
Ac equivalent circuit
What are the objectives to know about working of ultrasonics? Objectives of ultrasonics: a. Understand the term ultrasonics. b. Describe the principle, working and constr
A magnet is used to collect some spilled paper clips. What is the magnetic pole at the end of the paper clip that is indicated in the figure
Potential free contacts (also known as "dry contacts") are simply contacts which are physically operated with the main device, but not electrically connected to it. For example a m
The molar heat capacity of a gas at constant pressure is 18.7 J mol -1 K -1 . What is the heat capacity of 9.4 moles of this gas at constant volume ?
how to get the formula ?.
How long does it take for the water to reach the boiling point? An iron boiler of mass 230 kg contains 830 kg of water at 18C. A heater supplies energy at the rate of 52,000 kj/
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