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Application: Optical waveguide. An optical waveguide is made in the form of a rectangular cross-section channel in a silicon substrate, as shown in Figure 17.31. The channel is 2μm wide, μm high, and ε= 2ε0.
(a) Explain why this structure can function as a rectangular waveguide and outline the conditions necessary for it to operate. Hint: Consider the conditions for total reflection in a dielectric.
(b) Calculate the lowest frequency that can be propagated. Which mode is it and in what range of the spectrum is this propagation possible?
(c) Calculate the peak power that can be propagated at twice the frequency calculated in (b) if the peak electric field intensity cannot exceed 1000 V/mm.
A 0.453-Kg mass attached to a light spring elongates it by 7.87mm. Determine the natural frequency of the system.
A quantity of water within a piston-cylinder assembly executes a carnot power cycle. During ISOTHERMAL expansion, the water is heated from saturated liquid at 45 bar until it is a saturated vapor. The vapor then expands adiabatically to a pressure of..
a sky diver jumps from a helicopter and is falling straight down at 30 ms when his parachute opens. from then on his
a small motor weighing 19.3 lbs is mounted on 4 springs in parallel in such a manner that only vertical motion is
Compute the maximum axial compressive service live load that may be placed on the column shown. The column is short and is subjected to an axial service dead load of 200 kips.
a 1 ton car is climbing a 200 m long uphill road with a slope of 30deg from horizontal. what is the power required to
1. Hydrogen (H2) enters a combustion chamber with a mass flow rate of 5 lb/h and burns with air entering at 858F, 1 atm with a volumetric flow rate of 75 ft3/min. Determine the percent of theoretical air used.
consider a steam power cycle in which saturated water vapor at 25 bar state 1 enters an adiabatic steam turbine. at the
Compare the efficiencies and specific steam consumption obtained from Problems 8.1, 8.2, 8.3, and 8.4. Compare also the wetness of the steam leaving the turbines in each
why is the carnot cycle not suitable as an ideal cycle for all the power producing devices ?
pressurized feedwater in a steam power plant is to be heated in an ideal open feedwater heater that operates at a
the initially stationary uniform disk of mass m1 and radius b is allowed to drop onto the moving belt from a very small
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