LEARNING TOOLS FOR DIODE-BASED CIRCUITS FOR MICROWAVE AND RF APPLICATIONS Mario Guerra, Almudena Suárez guerraso@teleline.es almu@dicom.unican.es Dpto. Ingeniería de Comunicaciones. University of Cantabria. Abstract In this paper, some JAVA applets are presented, to help the understanding of RF diodes and illustrate their applications. One of them allows the study of a microwave detector, based on a Schottky diode. The other two show PIN diode applications, one of them in the design of a variable phase shifter and the other, in a matched variable attenuator. Very good results have been obtained when using these tools in a Telecommunication-Engineering subject, dealing with high frequency circuits. I. Introduction The good knowledge of semiconductor devices, their operation principles and applications, is crucial for the design of nonlinear circuits. Thus, it is essential for students pursuing a radiocommunication speciality. Due to their complex physics and intrinsic nonlinearity, the understanding of these devices is often difficult for the student. The purpose here has been to develop several JAVA applets, showing the principles, models and main applications of the diodes most commonly employed at RF and microwave frequencies. The aim is to help the students differentiate the diodes (from the point of view of their principles and applications) and to provide tools enabling the good understanding of circuits based on them. In this paper three JAVA applets are presented, illustrating the applications of Schottky and PIN diodes. One of the applets shows a Schottky-based microwave-signal detector, to be used in a slotted line. The two other applets show PIN-diode applications. One of them is a PIN-based phase-shifter, employing a circulator, and the other one is a PIN-based variable attenuator, using a 3 dB-coupler. II. Schottky-diode applications. Microwave detector The Schottky diode junction is a metalsemiconductor hetero-junction. The junction is formed between an N-type semiconductor and a metal. The working principles of the Schottky diode are similar to those of a P-N junction, but without the charge accumulation problems of the latter [1-2], since the conduction is only due to majority carriers. They can be used for the design of 12th EAEEIE conference, Nancy, 2001 microwave detectors. Such detectors make use of the nonlinear characteristic of the Schottky's equivalent current source characteristic, given by i( v) I s (e v 1) . Provided the signal amplitude V is small, it is possible to develop i(v) as a Taylor series around the bias point. After low pass filtering, a (quasi) DC output may be obtained. Fig. 1 shows the input screen of the JAVA applet. The Schottky diode is employed to detect the amplitude of the standing wave in a slotted line. An interesting aspect of the applet is the retracing of the standing wave when the user modifies the load impedance. This standing wave is often badly understood by the student and the dynamical representation (carried out in this applet), under load impedance variations, has proven very helpful for teaching. By moving the cursor along the line, the detected DC current, at the selected position, is provided. Results are shown on the text fields, with their corresponding labels. Units for all the magnitudes are shown in tooltips. In a different screen, the variations in the detected current, versus the microwave amplitude, are also traced, showing the possibility of saturated behavior. III. PIN-diode applications. Phase shifter and variable attenuator. A PIN diode is obtained by connecting together a highly doped P+ layer of semiconductor, a long intrinsic (I) layer and a highly doped N+ layer [1-2]. The presence of a wide intrinsic section increases the breakdown voltage of the device, thus allowing high reverse voltages. It is also responsible for an almost constant value of reverse bias capacitance. This capacitance is very small due to the wide intrinsic section, so the diode reverse impedance is very high. 2 On the other hand, the intrinsic semiconductor exhibits a variable resistance RI as a function of forward bias. This enables use of PIN diodes for the design of variable attenuators. For sufficient forward current, the forward impedance becomes very small, which, together with the high reverse impedance, enables switching applications. The two JAVA applets dealing with PIN diode applications at microwaves are going to be presented in the following. One of them consists of a phase shifter and the other is a variable attenuator. III.1 Phase shifter The low impedance value of the PIN diode in forward bias, together with the high value in reverse bias, makes it very well suited for switching applications. This ability can be exploited in phase-shifter design. Fig. 2 shows the input screen of the second JAVA applet. A number of PIN diodes [2] are connected in parallel across the transmission line in port 2. Phase shifting is achieved between the input port 1 and the output port 3. Phase shifting is obtained through signal reflection at the first conducting diode. The line length, up to this first conducting diode, determines the phase shift. The applet displays the phase-shift variation versus the line length (between diodes) and versus the number N of consecutive "off" diodes. The equation providing the phase shift is the following: Phase (l) 2 l X 2 NDoff ·l (1) where lx is the length of the first line section and l, the length of the following sections. NDoff is the number of consecutive diodes in reverse bias, prior to the first one in forward bias. 12th EAEEIE conference, Nancy, 2001 3 III.2 Variable attenuator Another important application of PIN diodes exploits the variable intrinsic resistance, RI, which depends on the forward-bias current. This is used in the design of variable attenuators. The intrinsic resistance is inversely proportional to the forward current If. It also depends on the width of the intrinsic region W I and the effective mobility and lifetime : WI2 Ri (2) 2 If (a) Figure 3. PIN-based phase shifter. (b) Figure 1. Schottky-based detector. Application in a slotted line. (a) Load ZL. (b) Short-circuit. Load ZL = 0. It is considered that the diodes in reverse bias nearly behave like as open circuits, while the diode in forward bias is nearly a short circuit. The circulator is considered to be an ideal one, so the reflected wave is transferred to the matched load of port 3, without loss. The third JAVA applet (Fig. 3) analyzes a variable-attenuator configuration, based on the use of a 3-dB coupler, which enables a matched design [2]. The input signal (at port 1) is split between ports 2 and 3. For a very low value of RI, the signal is almost entirely reflected at these two ports, obtaining very low attenuation. For very high value, the signal is almost entirely delivered to the 50Ohm loads, so there is a very low reflection, resulting in a very high attenuation value. The same variable attenuation principle can be used for switching purposes, when the diode current is modified from a zero value (high attenuation, ideally an open 12th EAEEIE conference, Nancy, 2001 circuit) to a sufficiently large value (nearly a short circuit). Through this applet it is possible to calculate insertion loss (for forward biasing of the diode) and isolation (for reverse biasing), due to the diode nonideality. 4 The applet displays, in one of the output charts, the reflection coefficient versus the bias current If. With the aid of the mouse, it is possible to select a particular current value Ifo. For this particular value, the second chart provides the attenuation versus the input frequency. As in the previous applets units are shown in tooltips. Conclusions (a) In this work some tools for the better understanding of diode-based circuits for RF and microwave applications have been presented. One of the tools shows the use of a Schottky detector in a microwave slotted line. Two other tools are devoted to PIN diode applications. One of them is a phase-shifter, employing several diodes and a circulator, and the other is a variable attenuator, employing a 3-dB hybrid coupler. Very good results have been obtained when using these tools for illustrating the RFdevice applications in a subject dealing with high frequency circuits. Appendix The Applets were developed using JAVA 1.3, so to run them it is necessary to install the Java 1.3 plug-in which, if not installed, will be downloaded automatically from Sun’s ftp when clicking the html file that launches the applet. These are JAR files, so they will uncompress in memory prior to the execution. References (b) Figure 4. PIN-based variable attenuator. The upper chart shows the variation of the reflection coefficient versus the forward current. The lower chart shows the variation of the attenuation versus the generator frequency. The current value is selected with the mouse in the upper chart. (a) For low If. (b) For higher If. [1] Sze, S.M, Physics of semiconductor devices, John Wiley & Sons, New York, 1981. [2] Combes, P.F., Graffeuil, J. and Sautereau, J.F.: Microwave components, devices and active circuits, John Wiley & Sons, New York, 1988.