By Ferran Mart?n
This e-book offers and discusses possible choices to dull transmission traces for the layout and implementation of complex RF/microwave elements in planar technology.
This booklet is dedicated to the research, learn and functions of man-made transmission strains ordinarily applied through a bunch line comfortably converted (e.g., with modulation of transverse dimensions, with etched styles within the steel layers, etc.) or with reactive loading, with a purpose to in attaining novel gadget functionalities, enhanced functionality, and/or lowered measurement.
The writer starts off with an introductory bankruptcy devoted to the basics of planar transmission traces. bankruptcy 2 is concentrated on man made transmission strains in accordance with periodic constructions (including non-uniform transmission strains and reactively-loaded lines), and offers a finished research of the coupled mode conception. Chapters three and four are devoted to synthetic transmission strains encouraged by means of metamaterials, or in accordance with metamaterial techniques. those chapters comprise the most sensible implementations of such traces and their circuit types, and a large review in their RF/microwave functions (including passive and lively circuits and antennas). bankruptcy five makes a speciality of reconfigurable units in response to tunable man made strains, and on non-linear transmission traces. The bankruptcy additionally introduces a number of fabrics and elements to accomplish tuning, together with diode varactors, RF-MEMS, ferroelectrics, and liquid crystals. eventually, bankruptcy 6 covers different complicated transmission strains and wave guiding constructions, corresponding to electroinductive-/magnetoinductive-wave strains, common-mode suppressed balanced strains, lattice-network man made traces, and substrate built-in waveguides.
Artificial Transmission traces for RF and Microwave purposes presents an in-depth research and dialogue of synthetic transmission traces, together with layout guidance that may be precious to researchers, engineers and students.
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Additional resources for Artificial Transmission Lines for RF and Microwave Applications
Since, in general, ZL Zo, a reflected wave must be generated at z = 0, so that the Ohm law is preserved. , there are not reflections in the load). Conversely, if the load is an open or a short circuit, the reflection coefficient is ρL(ZL = ∞) = 1 and ρL(ZL = 0) = −1, respectively, and the incident power is reflected back to the source. Notice that the incident power is also reflected back to the source for reactive loads, where |ρL(ZL = jχ)| = 1, χ being the reactance. Partially reflected and absorbed power 10 FUNDAMENTALS OF PLANAR TRANSMISSION LINES occurs for resistive loads not matched to the line, or for complex loads.
As expected, the steady-state voltage at z = −l is simply given by the voltage divider, considering the series connection of the source impedance and the input impedance of the loaded line. 14 However, although small, losses produce 14 To guarantee small losses, distributed circuits must be preferably implemented in commercially available low-loss microwave substrates. 17 LOSSY TRANSMISSION LINES attenuation and distortion in the transmitted signals, and the analysis of their effects on wave propagation is of interest.
36 FUNDAMENTALS OF PLANAR TRANSMISSION LINES where vp1 and vp2 are the phase velocities of the low- and high-impedance transmission line sections, respectively, C1 and C2 are the line capacitances, namely, C1 = l1 = C1 l1 vp1 Z1 1 103 C2 = l2 = C2 l2 vp2 Z2 1 104 C i (i = 1, 2) being the per unit length capacitances of the lines, and L2 is the inductance of the high impedance transmission line section, that is, L2 = L2 l2 1 105 Notice that although C is dominated by the capacitance of the low impedance transmission line section, C1, the contribution of C2 on C may be nonnegligible if either K or l2 are not very small.
Artificial Transmission Lines for RF and Microwave Applications by Ferran Mart?n