Different types of rays, Physics

Assignment Help:

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.


Related Discussions:- Different types of rays

Distinguish between the terms average value and rms value, A convex lens of...

A convex lens of refractive index 1.5 has a focal length of 18 cm in air. Measure the change in its focal length when it is immersed in water of refractive index. Distinguish am

Galvanometer, With the help of neat & labelled diagram. Explain the princip...

With the help of neat & labelled diagram. Explain the principle & working of a moving coil galvanometer. What is importance of radial magnetic field.

Distance of cosest approach, Why can''t an alpha particle touch the periph...

Why can''t an alpha particle touch the periphery of nucleus?

Determine the evaporation rate, An industrial process involves the evaporat...

An industrial process involves the evaporation of water from a liquid film that forms on a contoured surface. Dry air is passed over the surface, and from laboratory measurements t

Determine the specific heat of granite, A 2350-kg granite tombstone absorbs...

A 2350-kg granite tombstone absorbs 2.8 x 10 7 J of energy from the Sun to change its temperature from 5.0°C at night to 20.0°C during an autumn day. Verify the specific heat

Electric and magnetic phenomena, The line density of charge in a wire is 0....

The line density of charge in a wire is 0.20 Cm-1. If this wire is symmetrically enclosed along its length by a cylindrical surface of radius 1.0 m and length 1.5 m, calculate

Math, what multiplication fact can be found by using the arrays or 2times9 ...

what multiplication fact can be found by using the arrays or 2times9 and 5times9?

Weight removed from earth and it consequences., With mans lust for the unkn...

With mans lust for the unknown in space exploration, what will happen to our planet by removing so much weight in the form of spacecraft that will never return and can the earth re

What is the principle of an optical fibre, Explain power of a lens. What is...

Explain power of a lens. What is the principle of an optical fibre? What is a thin prism? Describe angular dispersion between two colours for a prism.

Current density between the plates, 2. The dipole in problem is removed and...

2. The dipole in problem is removed and the space between plates is filled with Cu of conductivity σ (look up the value). (a) Derive an expression for the current density betwee

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd