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Ingo Wolff Coplanar Microwave Integrated Circuits Verlagsbuchhandlung Dr. Wolff GmbH Prof. Dr.-Ing Ingo Wolff IMST GmbH Carl-Friedrich-Gauss-Str. 2 D-47475 Kamp-Lintfort Germany [email protected] www.imst.de Coplanar Microwave Integrated Circuits This book deals with the design and realization of components, circuits and systems in microwave coplanar integrated circuit technology. Especially the theoretical background for the simulation of coplanar waveguides, coplanar waveguide discontinuities, lumped elements, couplers, and filters is intensively discussed. The results of the simulations are interpreted with respect to the properties of the components in coplanar circuit design. A developed circuit design software for coplanar circuits is described in detail. A CD with a demo version of the software is attached to the book. Special coplanar microwave integrated circuits that have been developed using the software and especially the advantages as well as the disadvantages of coplanar microwave integrated circuits are the subject of the final chapter of this book. ISBN 3-922697-30-5 555 pages 486 figures 30 tables Hardcover 65.00 €, US$ 81.00 Publisher: Verlagsbuchhandlung Dr. Wolff GmbH Trierer-Str. 788 D-52078 Aachen Germany www.science-book.com Content Chapter I. I.1 Chapter II. II.1 II.1.1 II.1.2 II.1.3 II.1.3.1 II.1.3.2 II.2 II.2.1 II.2.2 II.2.3 II.2.4 II.2.5 II.2.6 II.2.7 II.2.8 II.2.9 II.2.10 II.2.11 II.2.11.1 II.2.11.2 II.3 II.3.1 II.3.1.1 II.3.1.2 II.3.1.3 II.3.1.4 II.3.2 II.3.2.1 II.3.2.2 Introduction....................................................................... 1 References to Chapter I ...................................................................... 9 Transmission Properties of Coplanar Waveguides ....... 10 Rigorous, full wave analysis of transmission properties....................10 The coplanar waveguide with a single centre strip and finite ground plane width .......................................................................................11 The coplanar waveguide with a single centre strip and infinite ground plane width ..........................................................................25 Coupled coplanar waveguides............................................................35 Scattering matrix of coupled coplanar waveguides............................36 Coupled coplanar waveguides and microstrip lines – a comparison..41 Quasi-static analysis of coplanar waveguides using the finite difference method............................................................................47 Introduction ........................................................................................47 The finite difference method as applied to the analysis of coplanar waveguide structures .......................................................................49 The solution of Laplace’s equation for planar and coplanar line structures using the finite difference method ..................................50 Application of the quasi-static technique to the analysis of coplanar waveguides ........................................................................57 Characteristic parameters of coplanar waveguides ............................66 The influence of the metalization thickness on the line parameters...76 The influence of the ground strip width on the line parameters.........78 The influence of the shielding on the line parameters........................79 Some special forms of coplanar waveguides......................................80 Coplanar-like waveguides ..................................................................83 Coupled coplanar waveguide structures.............................................92 Analysis of the characteristic parameter matrices..............................93 Determination of the scattering matrix of coupled coplanar waveguides ......................................................................................96 Closed formula static analysis of coplanar waveguide properties .....98 Analysis of generalized coplanar waveguide with supporting substrate layers ................................................................................99 Structure SCPW................................................................................102 Structure SCPW2..............................................................................104 Structure SCPW3..............................................................................104 Numerical results..............................................................................105 Static formulas for calculating the parameters of general broadsidecoupled coplanar waveguides........................................................114 Analytical formulas und results for the general broadsidecoupled coplanar waveguides...........................................................115 Analysis of an asymmetric supported BSC-CPW ............................120 II _________________________________________________________________________________________________________________ II.3.2.3 II.3.2.4 II.4 Chapter III. III.1 III.2 III.3 III.3.1 III.4 III.4.1 III.4.2 III.5 III.5.1 III.5.2 III.5.3 III.5.4 III.5.5 III.5.6 III.5.7 III.5.7.1 III.5.8 III.5.9 III.6 Chapter IV. IV.1 IV.2 IV.2.1 IV.2.2 IV.3 IV.4 IV.4.1 IV.4.2 IV.5 IV.6 IV.7 Chapter V. V.1 V.2 V.3 V.3.1 V.3.2 V.4 V.5 V.6 V.6.1 V.6.2 Application of the BSC-CPW as single CPW..................................122 Criteria for the coplanar behaviour of the structure .........................124 Bibliography and references to Chapter II .......................................125 Coplanar Waveguide Discontinuities ...........................145 The three-dimensional finite difference analysis .............................145 Computation of the electric field strength........................................147 Computation of the magnetic field strength .....................................150 Convergence and error discussion for the analysis technique..........152 Coplanar waveguide discontinuities.................................................154 Modelling the discontinuity..............................................................156 Extraction of the model parameters..................................................157 Description of coplanar waveguide discontinuities..........................162 The coplanar open end .....................................................................162 The coplanar waveguide short-circuited end....................................168 The gap in a coplanar waveguide .....................................................170 The coplanar waveguide step ...........................................................177 Air bridges in coplanar waveguides .................................................185 The coplanar waveguide bend ..........................................................194 The coplanar waveguide T-junction.................................................205 Analysis of the odd mode excitation ................................................224 The coplanar T-junction as a mode converter ..................................228 The coplanar waveguide crossing ....................................................237 Bibliography and references to Chapter III......................................246 Coplanar Lumped Elements..........................................251 Introduction ......................................................................................251 The coplanar interdigital capacitor...................................................252 The lumped element modelling approach ........................................252 Enhancement of the interdigital capacitor model for application at millimetre-wave frequencies .....................................................272 The coplanar Metal-Insulator-Metal (MIM) capacitor.....................275 Coplanar spiral inductors..................................................................280 Enhancement of the inductor model for millimetre-wave frequencies.....................................................................................293 Coupled coplanar rectangular inductors...........................................295 The coplanar rectangular spiral transformer ....................................299 The coplanar thin film resistor .........................................................306 Bibliography and references to Chapter IV......................................308 Coplanar Element Library and Circuit Design Program...............................................................311 Introduction ......................................................................................311 Modelling, convergence and accuracy .............................................315 Overview on Coplan for ADS.......................................................318 Data items.........................................................................................320 Library elements...............................................................................322 Cache management...........................................................................324 Layout...............................................................................................325 Coplanar data items ..........................................................................326 Overview ..........................................................................................326 Description of the data items............................................................328 III _________________________________________________________________________________________________________________ V.6.2.1 V.6.2.2 V.6.2.3 V.6.2.4 V.6.2.5 V.6.2.6 V.6.2.7 V.6.2.8 V.7 V.7.1 V.7.2 V.7.3 V.7.4 V.7.5 V.7.6 V.7.7 V.7.8 V.7.9 V.7.10 V.7.11 V.7.12 V.7.13 V.7.14 V.7.15 V.7.16 V.7.17 V.7.18 V.8 Chapter VI. VI.1 VI.1.1 VI.1.2 VI.1.3 VI.1.4 VI.2 VI.2.1 VI.2.2 VI.3 VI.3.1 VI.3.1.1 VI.3.1.2 VI.3.2 VI.4 VI.4.1 VI.4.2 VI.4.3 VI.5 VI.5.1 VI.5.2 VI.6 Coplanar substrate data definition C_SUB ..................................329 Coplanar line type data definitions C_LINTYP............................331 Coplanar coupled lines data definitions C_NL_TYP...................333 Coplanar bridge type data definition C_AIRTYP.........................335 Coplanar grid data definition C_GRID .........................................338 Process (foundry) used for fabrication C_PROCES ...................340 Technological data definition (default foundry) C_TECH .........341 Layer data definition (default foundry) C_LAYER ....................344 The coplanar components and their models .....................................345 Coplanar waveguide RF-port C_PORT.........................................349 Coplanar transmission line C_LIN................................................350 Coplanar intermetal via connection C_METVIA .........................352 Coplanar resistively loaded transmission line C_TFG..................353 Coplanar MIM-capacitor to ground C_CAPLIN ..........................355 Coplanar open-ended transmission line C_OPEN ........................357 Coplanar short-circuited transmission line C_SHORT .................359 Gap in a coplanar transmission line C_GAP.................................360 Step in a coplanar transmission line C_STEP ...............................362 Coplanar waveguide taper C_TAPER...........................................363 Coplanar air bridges C_AIR..........................................................366 Bend in a coplanar transmission line C_BEND ............................367 T-junction in coplanar transmission lines C_TEE ........................369 Crossing of coplanar transmission lines C_CROSS......................371 Coplanar interdigital capacitor C_IDC..........................................373 Coplanar rectangular inductor C_RIND........................................375 Coplanar thin film resistor C_TFR................................................377 Coplanar metal-insulator-metal capacitor C_MIM .......................379 References to Chapter V...................................................................381 Coplanar Filters and Couplers ......................................383 Coplanar lumped element filters ......................................................383 The coplanar spiral inductor as a filter.............................................383 Design and realization ......................................................................385 Results ..............................................................................................387 Phase shifting filter circuits..............................................................392 Coplanar passive lumped element band pass filters .........................395 Theoretical background ....................................................................396 Properties of the coplanar hybrid band pass filters ..........................397 Special coplanar waveguide filters...................................................401 The coplanar band-reject filter .........................................................402 The hybrid band-reject filter.............................................................402 The monolithic band-reject filter......................................................404 Coplanar millimetre-wave filters......................................................408 Coplanar edge-coupled line structures .............................................413 Verification of coupling between coupled coplanar waveguides.....414 End-coupled coplanar line structures ...............................................418 Coplanar waveguide end-coupled to an orthogonal coplanar waveguide......................................................................................420 Coupled coplanar waveguide filters and couplers............................423 Interdigital filter design ....................................................................423 Coplanar waveguide couplers ..........................................................430 Coplanar MMIC Wilkinson couplers ...............................................437 IV _________________________________________________________________________________________________________________ VI.6.1 VI.6.2 VI.6.3 VI.7 Conventional Wilkinson couplers ....................................................438 Wilkinson couplers with discrete elements ......................................439 MMIC applicable Wilkinson couplers with lumped coplanar waveguide elements.......................................................................441 Wilkinson coupler in coplanar waveguide technique for millimetre-wave frequencies .........................................................443 Bibliography and references to Chapter VI......................................447 Chapter VII. Coplanar Microwave Integrated Circuits ....................451 VI.6.4 VII.1 VII.1.1 VII.1.2 VII.2 VII.2.1 VII.2.1.1 VII.2.1.2 VII.2.1.3 VII.2.1.4 VII.2.1.5 VII.3 VII.3.1 VII.3.2 VII.3.3 VII.3.4 VII.3.5 VII.4 VII.4.1 VII.4.1.1 VII.4.1.2 VII.4.1.3 VII.4.2 VII.4.2.1 VII.4.2.2 VII.4.3 VII.4.3.1 VII.4.3.2 VII.4.3.3 VII.4.3.4 VII.4.4 VII.4.4.1 VII.4.4.2 VII.5 VII.6 VII.6.1 VII.6.1.1 VII.6.1.2 VII.6.1.3 VII.6.2 VII.6.2.1 Introduction ......................................................................................451 The effect of the shielding on modelling..........................................452 The waveguide properties ................................................................453 Coplanar transistors and coplanar switches......................................456 Active power dividers and combiners and switches ........................456 Power dividers and combiners .........................................................456 Fundamental coplanar switch circuits ..............................................458 Results and measurements................................................................459 Device scaling ..................................................................................462 Design and realization of coplanar RF switches ..............................465 Coplanar microwave active filters....................................................469 Introduction ......................................................................................469 The coplanar active inductor ............................................................470 The first order active coplanar band pass filter ................................472 The fixed centre frequency second order active filter......................473 The coplanar active tuneable filter ...................................................476 Coplanar microwave amplifiers .......................................................483 Coplanar microwave amplifiers in waveguide design .....................483 Introduction ......................................................................................483 Circuit design and technological aspects..........................................484 Results and comparison with measurements....................................488 Coplanar lumped element MMIC-amplifiers ...................................490 Introduction ......................................................................................490 MMIC design and results .................................................................491 Influence of the backside metalization on the design of a coplanar low noise amplifier .........................................................495 Modelling the transistor and its noise properties .............................495 The coplanar LNA design ................................................................496 Simulation results .............................................................................497 Measurement results.........................................................................499 Miniaturized Ka-band MMIC high-gain medium power amplifier in coplanar waveguide technique...................................501 Introduction ......................................................................................501 MMIC design and results .................................................................501 Coplanar electronic circulators.........................................................504 Coplanar frequency doublers............................................................509 Different realization concepts of FET frequency doublers ..............509 The single-device FET frequency doubler .......................................509 The balanced (push-push) FET frequency doubler ..........................509 The wideband FET frequency doubler .............................................510 Realization of coplanar frequency doublers.....................................511 The coplanar balanced hybrid MIC frequency doubler....................512 V _________________________________________________________________________________________________________________ VII.6.2.2 VII.6.3 VII.7 VII.7.1 VII.7.2 VII.8 Index The coplanar balanced monolithic MIC frequency doubler.............515 A coplanar times five frequency multiplier......................................518 Coplanar microwave oscillators .......................................................522 Coplanar microwave oscillator design .............................................522 A 5 GHz coplanar voltage controlled oscillator...............................531 Bibliography and references to chapter VII .....................................532 ..............................................................................................................................547