Principles of RF and Microwave Circuits Electromagnetic Waves Part 1 Frequency Spectrum (1) 𝑣=𝜆𝑓 𝑣𝑓𝑟𝑒𝑒 𝑠𝑝𝑎𝑐𝑒 = 𝑐 = 3 × 108 𝑚/𝑠 Reprinted from NASA 2 Frequency Spectrum (2) Reprinted from NASA 3 Frequency Spectrum (3) Typical Frequencies ▪ AM broadcast band 535-1605 kHz ▪ Short wave radio band 3-30 MHz ▪ FM broadcast band 88-108 MHz ▪ VHF TV (2-4) 54-72 MHz ▪ VHF TV (5-6) 76-88 MHz ▪ UHF TV (7-13) 174-216 MHz ▪ UHF TV (14-83) 470-890 MHz ▪ US cellular telephone 824-849 MHz, 869-894 MHz ▪ European GSM cellular 880-915 MHz, 925-960 MHz ▪ GPS 1575.42 MHz, 1227.60 MHz ▪ Microwave ovens 2.45 GHz ▪ US DBS 11.7-12.5 GHz ▪ US ISM bands 902-928 MHz, 2.400-2.484 GHz, 5.725-5.850 GHz ▪ US UWB radio 3.1-10.6 GHz Approximate Band Designations ▪ Medium frequency 300 kHz-3 MHz ▪ High frequency (HF) 3 MHz-30 MHz ▪ Very high frequency (VHF) 30 MHz-300 MHz ▪ Ultra high frequency (UHF) 300 MHz-3 GHz ▪ L band 1-2 GHz ▪ S band 2-4 GHz ▪ C band 4-8 GHz ▪ X band 8-12 GHz ▪ Ku band 12-18 GHz ▪ K band 18-26 GHz ▪ Ka band 26-40 GHz ▪ U band 40-60 GHz ▪ V band 50-75 GHz ▪ E band 60-90 GHz ▪ W band 75-110 GHz ▪ F band 90-140 GHz Adapted from Figure 1.1 of Pozar (2012) 4 RF/Microwave Applications Name Frequency Range Name Origin Common Applications VHF Band VHF Band UHF Band UHF Band UHF Band UHF Band UHF Band UHF Band UHF Band UHF Band L Band L Band 30 to 300 MHz 30 to 300 MHz 300 to 3000 MHz 300 to 3000 MHz 300 to 3000 MHz 300 to 3000 MHz 300 to 3000 MHz 300 to 3000 MHz 300 to 3000 MHz 300 to 3000 MHz 1 to 2 GHz 1 to 2 GHz Very High Frequency Very High Frequency Ultra High Frequency Ultra High Frequency Ultra High Frequency Ultra High Frequency Ultra High Frequency Ultra High Frequency Ultra High Frequency Ultra High Frequency Long Long FM radio Television broadcasts Television broadcasts Microwave oven Microwave devices Communications Radio astronomy Mobile phones Wireless LAN Bluetooth Military telemetry GPS L Band 1 to 2 GHz Long Air traffic control (ATC) radar S Band S Band S Band S Band S Band 2 to 4 GHz 2 to 4 GHz 2 to 4 GHz 2 to 4 GHz 2 to 4 GHz Short Short Short Short Short Weather radar Surface ship radar Microwave ovens Microwave devices Communications Adapted from Mega Industries (2021) 5 RF/Microwave Applications (cont.) Name Frequency Range Name Origin Common Applications C Band 4 to 8 GHz Compromise (between S and X) Long-distance radio telecommunications X Band 8 to 12 GHz X Band 8 to 12 GHz X Band 8 to 12 GHz X Band 8 to 12 GHz X Band 8 to 12 GHz Ku Band K Band K Band K Band K Band Ka Band 12 to 18 GHz 18 to 26.5 GHz 18 to 26.5 GHz 18 to 26.5 GHz 18 to 26.5 GHz 26.5 to 40 GHz X for “crosshair” (used in WW2 for fire control radar X for “crosshair” (used in WW2 for fire control radar X for “crosshair” (used in WW2 for fire control radar X for “crosshair” (used in WW2 for fire control radar X for “crosshair” (used in WW2 for fire control radar Kurtz Under Kurtz (German for short) Kurtz (German for short) Kurtz (German for short) Kurtz (German for short) Kurtz Above Satellite communications Radar Terrestrial broadband Space communications Satellite communications Satellite communications Radar Satellite communications Astronomical observations Automotive radar Satellite communications Adapted from Mega Industries (2021) 6 References ▪ Mega Industries. (2021, September 27). Microwave frequency bands. https://www.megaind.com/microwavefrequency-bands/ ▪ NASA. (n.d.). Electromagnetic spectrum diagram. My NASA Data. http://mynasadata.larc.nasa.gov/sciencepractices/electromagnetic-diagram/ ▪ Pozar, D. (2012). Microwave engineering (4th ed.). John Wiley and Sons. 7 © The Johns Hopkins University 2023, All Rights Reserved.