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Transmission Line Theory and Advanced Measurements in the Field Co-sponsored by Tom Hoppin Application Specialist On Contract to Component Test Division Keysight Technologies © Keysight Technologies 2015 Keysight FieldFox Education Webcast Series Agenda – Transmission Line Basics – Frequency and Time Measurements – Frequency Limitations of Connectors and Cables – Measuring Insertion Loss • One-Port Techniques • Very Long Cables – Troubleshooting Line Faults • TDR and Impulse Modes • Examples of Cable and Waveguide Damage • Velocity Factor of Coax and Waveguide – Conclusions Keysight FieldFox Education Webcast Series Page 2 Types of Common Transmission Lines Cross Section Metal Microstrip (PCB) Dielectric Coaxial Twin-lead Twisted Pair (unshielded) Twinaxial (shielded) Stripline (PCB) Waveguide Keysight FieldFox Education Webcast Series Page 3 Physical Length of a Transmission Line When is a cable considered a “transmission line”? Length Keysight FieldFox Education Webcast Series Page 4 Physical Length of a Transmission Line When is a cable considered a “transmission line”? Length Length ~ > Keysight FieldFox Education Webcast Series Page 5 Physical Length of a Transmission Line When is a cable considered a “transmission line”? 1.2 meter (4 ft.) Example 1: Frequency (f) = 1 kHz Example 2: Frequency (f) = 1 GHz vcoax 3x10 8 m/sec (VF)    198km f 1kHz vcoax 3x10 8 m/sec (VF)    0.198m f 1GHz 1.2 meter cable is 0.000006 (=0.0020) Not considered a transmission line 1.2 meter cable is 6.06 (=2.2k0) Yes, this is a transmission line VF = 0.66 (cable datasheet) Keysight FieldFox Education Webcast Series Page 6 Measured S21 (Phase) vs. Frequency 1.2 meter @1GHz: 6 = 2.2k0 (1 = 3600) S21( unwrapped phase) • Negative phase implies delay or lag • Linear phase response = Non-dispersive medium Linear slope • Phase displayed in “wrapped” or “unwrapped” format. Keysight FieldFox Education Webcast Series Page 7 Measured S11 (dB) as a function of Frequency 50 W 1 S11 2 2 1 n (1800) n (3600) Frequency Keysight FieldFox Education Webcast Series Page 8 Measured S11 (Z) as a function of Time Step SHORT t=0 time TDR (Lowpass Step) Convert time to distance 50 W  time  distance   vcoax   2  12nsec (1.2m) 0W vcoax  VF c  Time RG-214 Cable Length = 1.2 meter, Impedance = 50 ohms, Velocity Factor (VF) = 66% Keysight FieldFox Education Webcast Series Page 9 Frequency Range Specifications CAT-3 CAT-5e CAT-6a DXN-2600 7/16 Connector Type-N SMA LMR-1700 Cable RG-214 TTL26 WR-187 WR-137 WR-90 WR-62 WR-42 0.001 DXN2600 is a product of W.L. Gore & Associates LMR® is a trademark of Times Microwave Systems TT26 is an Accuphase ® cable from Carlisle Group 0.01 0.1 1 10 26.5 Frequency (GHz) Keysight FieldFox Education Webcast Series Page 10 Frequency Limitations – Coaxial Cable • RG-214 specified from DC to 11 GHz • fc, TE11 = 13.1GHz (RG-214) D d S21 for RG-214 TEM TE11 (desired) Specified Range DC (30kHz) 11 GHz TE11 Mode Coax TE11 Mode: f C , TE11  7.514 D  d   r f in GHz, D & d in inches Keysight FieldFox Education Webcast Series Page 11 Frequency Limitations - Waveguide • Operates above fc, TE10 and below fc, TE20 b • WR-90: fc, TE10 = 6.56GHz, fc, TE20 = 13.1GHz a S21 for WR-90 TE10 Cutoff Specified Range 8.2GHz TE10 (desired) 12.4GHz TE20 Cutoff TE20 Waveguide TEm0 Modes: f C , m0  WR-90: a=0.9”, b=0.4” m( c ) 2a  r f in GHz, D &d in inches Keysight FieldFox Education Webcast Series Page 12 Measurement Types • FieldFox measures s-parameters: S11, S21, S12, S22 • Calculate delay • Calculate time domain response (step and impulse)  Slope Log Mag Delay Delay (secs.)  - 1      3600  f  Frequency Non-dispersive = “flat” response Time Domain (Impulse) Phase IFFT Time VF required for distance calculations VF  1 r  constant for coax Keysight FieldFox Education Webcast Series 13 Page Insertion Loss Measurement Techniques Traditional • Both ends available • Mechanical and ECal • CalReady and QuickCal 1-Port Loss • Only one end available • Low Loss (<30dB) Open or Short Extended Range (ERTA) • High Dynamic Range • No calibration or warm-up time • Frequency Offset Capable 11667B Trig/ Data #1:Source #2: Receiver Keysight FieldFox Education Webcast Series Page 14 Low-Loss Cable Measurement 2-Port VNA Open or Short 1-Port CAT CableLoss (S21) Cable Loss 10-foot Coaxial Cable, SMA Keysight FieldFox Education Webcast Series Page 15 Long Cable Measurement 2-Port VNA ERTA Cable Loss (S21) Cable Loss 100-foot Coaxial Cable, Type-N Keysight FieldFox Education Webcast Series Page 16 Other Transmission Line Configurations 50W Cable 75W Cable Waveguide Twisted Pair Direct Connection N9910X-846 50-75W adapter Coax-to-WG Adapter RJ45-to-SMA Adapter or Balun 50 W coax Waveguide 50 W coax 100W balanced 75W coax Type N or 3.5mm Z0=75 W (Smith Chart) Medium = Waveguide Mixed Mode Keysight FieldFox Education Webcast Series Page 17 Troubleshooting Transmission Lines CAT and VNA Modes • Verify transmission line performance (line sweeping) • Determine the location of damage (DTF) • Determine the type of failure Types of Faults • Loose connector, flange screws • Failed seal at a cable splice or flange (water ingress) • Failed solder joint at connector interface • Cut, crushed and/or weather-induced cracks • Minimum bend radius exceeded • Breakdown, and arcing effects DTF = Distance to Fault Images courtesy of John Arthur, Wireless EDGE Keysight FieldFox Education Webcast Series Page 18 Distance to Fault (DTF) Measurements Technique to determine the location of problems along a transmission line Damaged Cable Input Pulse or Step Measuring reflected pulse: Transmitted Pulse or Step Reflected Pulse or Step  timeround trip  vcable  DTF(meters)    2    timeround trip  (VF)( c)   2   Keysight FieldFox Education Webcast Series Page 19 DTF For Coax (M2) (M3) End of Cable “Velocity Factor” (VF) FieldFox Cable 4m Adapter Cable 50-ohm Load 9.8m (M2) (M3) Keysight FieldFox Education Webcast Series Page 20 TDR and Impulse Response A Bend Radius Exceeded B Outer Conductor Cut B B TDR (Step) A Impulse (Low-Pass) A Input connector 50-ohm Termination Inductive Keysight FieldFox Education Webcast Series Page 21 Types of Discontinuities TDR (Step) Impulse (Low-Pass) R > Z0 R < Z0 Inductor Capacitor Step and Low-pass mode requires transmission line operation to DC • Cable and Antenna Test Option includes TDR (Step) • VNA option includes Step, Low-Pass Impulse, Band-Pass Impulse Keysight FieldFox Education Webcast Series Page 22 DTF For Waveguide Coax-WG Straight WR-90 Flex WR-90 Water Terminated Or Open To FieldFox Bandpass Mode Required Open-ended Waveguide Coaxial Adapter Water in Flexguide Open Termination What about the VF for Waveguide? Keysight FieldFox Education Webcast Series Page 23 Velocity Factor For Waveguide Cross section of Waveguide 12 GHz Velocity Factor is a function of frequency VF_1 = 0.649 a 2.5 ft. length of X-Band waveguide VF_2 = 0.771 8 GHz VF_3 = 0.836 Delay is non-linear = “Dispersive” 6.5 GHz No Propagation Time Domain Corrected for Non-linear VF f VF ( f )  1   cutoff  f    2 Select “Waveguide” media on FieldFox Keysight FieldFox Education Webcast Series Page 24 FieldFox Rugged to MIL-PRF-2880F Class 2 MIL-Spec durability Meets MIL-PRF-28800F Class 2 requirements Type tested and meets MIL-STD-810G, Method 511.5 Procedure 1 requirements for operation in explosive environments Field-proof Type tested to IP53: completely sealed instrument enclosure provides measurement stability in dusty and wet environments 3-year warranty ensures field confidence (standard on all FieldFox analyzers) Low emissions, meets CISPR Pub 11, class B Water-resistant chassis, keypad, and case withstand wide temperature ranges, and salty, humid environments • Case withstands shock and vibrations • Wide operating temperature -10 to +55 °C (+14 to +131 °F) • Wide storage temperature -51 to +71 °C (-60 to +160 °F) Keysight FieldFox Education Webcast Series Page 25 Keysight FieldFox Combination Analyzers Combination Analyzers can be configured with the following capabilities • Vector Network Analyzer (VNA) • Cable and Antenna Test (CAT) • Spectrum Analyzer • Vector Voltmeter (VVM) • Power Meter • Independent Source Models include frequencies up to 26.5 GHz • 6.6 pounds (3 kg) • Built-in GPS • 3.5 hour battery life Carry precision with you - Keysight-quality measurements Keysight FieldFox Education Webcast Series Page 26 Conclusions – Transmission lines have lengths on the order of a wavelength – Phase affects the magnitude response – Operating frequency is limited by geometry • Two-conductor lines operate down to DC • Waveguide is narrowband – Insertion loss can be measured several ways – Troubleshooting faults requires a time domain response – Non-dispersive lines have a linear phase slope • Coaxial lines are non-dispersive • Waveguide is dispersive – With industry's best transmission line measurement capability, FieldFox is the ideal tool for testing in the field Keysight FieldFox Education Webcast Series Page 27 For More Information Web: www.keysight.com/find/FieldFox Literature: • Techniques for Precise Interference Measurements in the Field, Application Note, Literature Number 5991-0418EN • Techniques for Precise Cable and Antenna Measurements in the Field, Application Note, Literature Number 5991-0419EN • Correlating Microwave Measurements between Handheld and Benchtop Analyzers, Application Note, Literature Number 5991-0422EN • Techniques for Precise Measurement Calibrations in the Field, Application Note, Literature Number 5991-0421EN • Techniques for Precision Validation of Radar System Performance in the Field, Application Note, Literature Number 5991-4107EN FieldFox handheld education application webcast series Registration: www.keysight.com/find/FieldFoxWebcasts Co-sponsored by Thank you for your time. Questions? Keysight FieldFox Education Webcast Series Page 28