1. Dr. Yungui MA ( 马云贵 ) E-mail: yungui@zju.edu.cnyungui@zju.edu.cn Office: Room 209, East Building 5, Zijin’gang campus Microwave Fundamentals

2. Electromagnetic spectrum BandPLSCXKuKKa Freq (GHz) 0.23 -1 1-22-44-88- 12.5 12.5- 18 18- 26.5 26.5- 40 300 MHz 3 GHz30 GHz300 GHz 3 THz30 THz300 THz Photonic devicesElectronic devices MicrowavesTHz gap visible Radio wavesUV Microwave bands Millimeter waves Infrared

3. Microwave applications Wireless communications (cell phones, WLAN,…) Global positioning system (GPS) Computer engineering (bus systems, CPU, …) Microwave antennas (radar, communication, remote sensing, …) Other applications (microwave heating, power transfer, imaging, biological effect and safety)

4. http://mypage.zju.edu.cn/mayungui/640892.html

5. Syllabus Chapter 1: Transmission line theory Chapter 2: Transmission lines and waveguides Chapter 3: Microwave network analysis Chapter 4: Microwave resonators Reference books ： 1.David M. Pozar, Microwave Engineering, third edition (Wiley, 2005) 2.Robert E. Collin, Foundations for microwave engineering, second edition (Wiley, 2007) 3.J. A. Kong ， Electromagnetic theory (EMW, 2000)

6. Chapter 1: Transmission line theory 1.1 Why from lumped to distributed theory? 1.2 Examples of transmission lines 1.3 Distributed network for a transmission line 1.4 Field analysis of transmission lines 1.5 The terminated lossless transmission line 1.6 Sourced and loaded transmission lines 1.7 Introduction of the Smith chart

7. R = series resistance per unit length, for both conductors, in  /m; L = series inductance per unit length, for both conductors, in H/m; G = parallel conductance per unit length, in S/m; C = parallel capacitance per unit length, in F/m. Loss: R (due to the infinite conductivity) + G (due to the dielectric loss) Transmission line theory

8. Bridges the gap between field analysis and basic circuit theory Extension from lumped to distributed theory A specialization of Maxwell’s equations Significant importance in microwave network analysis The key difference between circuit theory and transmission line theory is electrical size. Circuit analysis assumes that the physical dimensions of a network are much smaller than the electrical wavelength, while transmission lines may be a considerable fraction of a wavelength, or many wavelengths, in size. Thus a transmission line is a distributed-parameter network, where voltages and currents can vary in magnitude and phase over its length.

9.  1.1 Why from lumped to distributed theory?

11.  1.2 Examples of transmission lines (2) Coaxial line Magnetic field (dashed lines) Electric field (solid lines) (3) Microstrip line (1)Two-wire line

12. Review: Kerchhoff’s law  1.3 Distributed network for a transmission line KCL:KVL:

13.  1.3 Distributed network for a transmission line

15. (Telegrapher equations)

16.  1.3 Distributed network for a transmission line

17. Impedance, wavelength and phase velocity Wavelength: Phase velocity:  1.3 Distributed network for a transmission line Voltage in the time domain: Characteristic impedance: TL current:

18. Characteristic impedance: Phase velocity: Wavelength: (what happens if exchange L and C ?)  1.3 Distributed network for a transmission line Propagation constant: