Experiment MW—Microwaves Introduction Finding ways to generate ever-higher frequencies in an efficient and controllable way has been central in the evolution of radio and related technology. The military need for radar that could “see” airplanes in darkness and fog stimulated the development of efficient power sources at frequencies between 1 and 1GHz . Wavelengths between 1cm and 30cm called microwaves (because the size of the wavelengths was considered to be very small compared to, say, AM radio wavelengths that are hundreds of meters). Microwave radar and particularly its spin-off, the microwave oven, have made the expression -- “zap it in the microwave” part of ordinary speech. The simplest way of generating electromagnetic waves (and the earliest -- used by Hertz 120 years ago) is simply to charge and discharge a capacitor connected to a spark gap and antenna. The antenna is excited at its resonant frequency by high frequency Fourier components in the discharge current and radiates electromagnetic waves. Spark transmitters were extensively used in the early days of radio before the invention of electronic amplifiers. In this experiment you’ll generate microwaves with a simple spark transmitter powered by your HVPS. Two pieces of wire will serve as a transmitting dipole antenna. You'll use another piece of wire as a receiving dipole antenna connected to your amplifier through a diode to detect the microwaves and to investigate their properties. Figure 1: Spark-gap transmitter 1Spark gap and Antenna Your transmitter is based on the adjustable spark gap of Experiment EB (Electrical Breakdown) which you recently worked on. You need only add a 33 pF capacitor across the tungsten rods and two lengths of #12 wire that you will solder to the solder lugs (mounted on the brass screws ) which make up the two halves of a dipole antenna (see Figure 1). Each length is 31mm long. The capacitor is charged by your HVPS and discharges when its voltage reaches a value such that the electric field in the gap exceeds the breakdown field of air. After discharging, the capacitor charges up again through the 4 MΩ of resistance outside the HVPS plus its 0.5 MΩ internal resistance. The time constant τ= RC = ( 4.5 × 106Ω)( 33 ×10−12 F) = 1.5× 10−4s . So the charging and breakdown cycle will recur at a frequency 1f = = 6.7kHz .osc τ This will generate bursts of radiation. The frequency of the radiation is determined by the time it takes charge to flow on the antenna. Just before breakdown the two halves of the antenna are charged + and - forming an electric dipole. There is an electric field around this dipole. During the short time that the capacitor discharges, the electric field decays and large currents flow producing magnetic fields. These currents flow through the gap and charge the antenna with the opposite polarity. The oscillations damp out as energy is dissipated and some of the energy is radiated with the period T a distance 4l going from + to - and back from - to +. In this experiment we’ll make l = 31 mm so the frequency radiated, = 4lc where l is the length of 12 of the dipole and c is the speed of light. The charge travels 1 c = = = 2.4 × 109 Hz = 2.4GHzfrad T 4 l Therefore the antenna will emit bursts of damped radiation (every 1.5 × 10−4 s ) at frequencies around 2.4GHz . The range of frequencies depends on the quality, Q , of the antenna. (The quality factor of a resonant system, or the antenna is: Q = (2πf )(power dissipatedaverage energy stored average ), for each cycle. The quality factor also measures the width of the resonance, Q = quality factor antenna gives a narrow range of generated frequencies.) f ∆f . So a high The spark generates other frequencies as well (as a nearby radio will show) and to minimize the radiation of these we put two 1 MΩ resistors close to the capacitor. 2Building the Transmitter Solder the 33 pF capacitor to the leads of the 1 MΩ resistors (see Figure 2). Make the capacitor leads as short and direct as possible without hindering the adjustment of the gap. Cut two 31mm long straight pieces of bare #12 copper wire (from the piece of plastic insulated wire in the Red Box) and solder them to the solder lugs which protrude above the end of the clothespin. The ends of the wire should extend (at most) a few millimeters from the end of the solder lug. This relatively heavy wire minimizes resistance and maximizes Q . You can strip the insulation from the plastic insulated household wire by stripping a short length and, then holding the bare copper with pliers, pulling off the insulation. Receiving Antenna This is made of a single piece of wire made into a one-turn loop with two ends sticking out from the plane of the loop, each a 1/4 wavelength long. The microwave emf developed across the loop is rectified by a diode and the resulting dc is fed to your amplifier through a shielded cable. The loop has two purposes: it provides mechanical stability for the antenna and it acts as a one-turn inductor which prevents low frequency fields from affecting your observations. The electric fields of the microwaves when parallel to the receiving antenna will cause current to flow. As in the transmitting antenna, the dimension of the receiving dipole makes it broadly resonant at 2 to 3 gigahertz. Voltages developed across the loop are rectified by the diode rectifier that passes only one half-wave of each oscillation to make a train of dc pulses. The capacitance of the wires smooth out the rapid variations and leaves an envelope of the decaying pulses of microwaves. These pulses drive the amplifier, which increases their voltage and smooths out the faster variations. The output of the amplifier then drives the slow-responding multimeter. Figure 2: Receiving Antenna 3Building the Receiving Antenna Take the insulation off another piece of #12 wire (strip a little and holding the copper with pliers, pull the insulation off) and wrap it around a pen so as to make a loop, about 10-15 mm in diameter, in the middle of the wire. Bend the ends of the wire so that the plane of the loop is perpendicular to the line form by the two ends of the wire (Figure 2). Make the bends as close as possible to the loop. Trim the length of each half of the antenna to 31mm as measured from the plane of the loop. The overall length will be about 75mm , allowing for the wire thickness and bends. The shielded cable is actually a two conductor