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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.
explain and give examples of the two types of current
Gauss' law for magnetic fields (K.F. Gauss) The magnetic flux by a closed surface is zero; no magnetic charges present; in differential form, div B = 0.
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a boy jumps from height of 100m?what will be its velocity when it reaches ground?
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Heater Another form of heater can be made from an old oil tin. Iron wire is wrapped round a test tube and twisted to form a handle.
A secondary cell is that cell is which the electrical energy is first up as a chemical energy and when the current is taken from the battery, the chemical power is reconverted into
how Michelson interferometer can be used to measure the wavelength of sodium light.
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