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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 2.0-kg projectile is fired with initial velocity components v0x= 30m/s and v0y= 40m/s from a point on the earth's surface. Neglect any effects due to air resistance. What is the
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Newton''s rings are formed between a spherical lens surface and an optical flat. If the tenth bright ring of green light (545.1 nm) is 7.89 mm in diameter, what is the radius of cu
if length changes then there is change in the time period how to solve these questions regards
Maxwell's equations (J.C. Maxwell; 1864): Four elegant equations that describe classical electromagnetism in its entire splendor are following.
It is defined as an electric strain produced in an atom due to application of external electric field to the bulk material. It is the result of the displacement of the positively c
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Derive the relation Relationship between α and β: Beta factor (β) is the current gain factor of a common emitter circuit is defined as ratio of change in coll
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