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Microwave Devices Introduction • Microwaves have frequencies > 1 GHz approx. • Stray reactances are more important as frequency increases • Transmission line techniques must be applied to short conductors like circuit board traces • Device capacitance and transit time are important • Cable losses increase: waveguides often used instead Waveguides • Pipe through which waves propagate • Can have various cross sections – Rectangular – Circular – Elliptical • Can be rigid or flexible • Waveguides have very low loss Modes • Waves can propagate in various ways • Time taken to move down the guide varies with the mode • Each mode has a cutoff frequency below which it won’t propagate • Mode with lowest cutoff frequency is dominant mode Mode Designations • TE: transverse electric – Electric field is at right angles to direction of travel • TM: transverse magnetic – Magnetic field is at right angles to direction of travel • TEM: transverse electromagnetic – Waves in free space are TEM Rectangular Waveguides • Dominant mode is TE10 – 1 half cycle along long dimension (a) – No half cycles along short dimension (b) – Cutoff for a = c/2 • Modes with next higher cutoff frequency are TE01 and TE20 – Both have cutoff frequency twice that for TE10 Usable Frequency Range • Single mode propagation is highly desirable to reduce dispersion • This occurs between cutoff frequency for TE10 mode and twice that frequency • It’s not good to use guide at the extremes of this range Group Velocity • Waves propagate at speed of light c in guide • Waves don’t travel straight down guide • Speed at which signal moves down guide is the group velocity and is always less than c fc vg c 1 f 2 Guide Wavelength • Longer than free-space wavelength at same frequency g fc 1 f 2 Impedance Matching • Same techniques as for coax can be used • Tuning screw can add capacitance or inductance Microwave Tubes • Used for high power/high frequency combination • Tubes generate and amplify high levels of microwave power more cheaply than solid state devices • Conventional tubes can be modified for low capacitance but specialized microwave tubes are also used Magnetron • • • • High-power oscillator Common in radar and microwave ovens Cathode in center, anode around outside Strong dc magnetic field around tube causes electrons from cathode to spiral as they move toward anode • Current of electrons generates microwaves in cavities around outside Slow-Wave Structure • Magnetron has cavities all around the outside • Wave circulates from one cavity to the next around the outside • Each cavity represents one-half period • Wave moves around tube at a velocity much less than that of light • Wave velocity approximately equals electron velocity Duty Cycle • Important for pulsed tubes like radar transmitters • Peak power can be much greater than average power Ton D TT Pavg PP D Crossed-Field and Linear-Beam Tubes • Magnetron is one of a number of crossedfield tubes – Magnetic and electric fields are at right angles • Klystrons and Traveling-Wave tubes are examples of linear-beam tubes – These have a focused electron beam (as in a CRT) Klystron • Used in high-power amplifiers • Electron beam moves down tube past several cavities. • Input cavity is the buncher, output cavity is the catcher. • Buncher modulates the velocity of the electron beam Velocity Modulation • Electric field from microwaves at buncher alternately speeds and slows electron beam • This causes electrons to bunch up • Electron bunches at catcher induce microwaves with more energy • The cavities form a slow-wave structure Traveling-Wave Tube (TWT) • Uses a helix as a slow-wave structure • Microwaves input at cathode end of helix, output at anode end • Energy is transferred from electron beam to microwaves Microwave Antennas • Conventional antennas can be adapted to microwave use • The small wavelength of microwaves allows for additional antenna types • The parabolic dish already studied is a reflector not an antenna but we saw that it is most practical for microwaves Horn Antennas • Not practical at low frequencies because of size • Can be E-plane, H-plane, pyramidal or conical • Moderate gain, about 20 dBi • Common as feed antennas for dishes Slot Antenna • Slot in the wall of a waveguide acts as an antenna • Slot should have length g/2 • Slots and other basic antennas can be combined into phased arrays with many elements that can be electrically steered Fresnel Lens • Lenses can be used for radio waves just as for light • Effective lenses become small enough to be practical in the microwave region • Fresnel lens reduces size by using a stepped configuration Radar • Radar stands for Radio Dedtection And Ranging • Two main types – Pulse radar locates targets by measuring time for a pulse to reflect from target and return – Doppler radar measures target speed by frequency shift of returned signal – It is possible to combine these 2 types Radar Cross Section • Indicates strength of returned signal from a target • Equals the area of a flat conducting plate facing the source that reflects the same amount of energy to the source Radar Equation • Expression for received power from a target PT G PR 3 4 4 r 2 2 Pulse Radar • Direction to target found with directional antenna • Distance to target found from time taken for signal to return from target R = ct/2 Maximum Range • Limited by pulse period • If reflection does not return before next pulse is transmitted the distance to the target is ambiguous Rmax = cT/2 Minimum Range • • If pulse returns before end of transmitted pulse, it will not be detected Rmin = cTP/2 A similar distance between targets is necessary to separate them Doppler Radar • Motion along line from radar to target changes frequency of reflection • Motion toward radar raises frequency • Motion away from radar lowers frequency Doppler Effect 2v r f i fD c Limitations of Doppler Radar • Only motion towards or away from radar is measured accurately • If motion is diagonal, only the component along a line between radar and target is measured Stealth • Used mainly by military planes, etc to avoid detection • Avoid reflections by making the aircraft skin absorb radiation • Scatter reflections using sharp angles