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PhD Thesis Arne Lüker final version V4 - Cranfield University

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Sol-Gel derived Ferroelectric Thin Films for Voltage Tunable Applications<br />

1.3 Materials for Tunable Applications – State of the Art<br />

The appropriate level of tunability for tunable applications (n ≥ 1.5 or n(%) ≥ 0.3, see<br />

Section 2.1.2) is practically achievable in materials with a relatively high dielectric<br />

permittivity at the frequencies of choice. For non-composite bulk materials, a value of the<br />

dielectric constant exceeding some 1000 is required whereas in thin films (where the<br />

application of higher fields is possible) the dielectric constant should be lager than some<br />

300. This limitation together with the requirement of relatively low values of the loss<br />

(below a few percent) narrows the scope of the materials of interest to the displacive type<br />

ferroelectrics (incipient or regular in the paraelectric phase). Up to now, many materials<br />

have been addressed as possible candidates for tunable applications, the most attention<br />

has being paid to SrTiO3 and its solid solution with BaTiO3: (Ba,Sr)TiO3. In the present<br />

section the state of the art of this scientific field is reviewed<br />

Motivated by increasing speed and bandwidth requirements, the III-V semiconductor<br />

industry has recently made considerable progress in developing transistors with transit<br />

time and maximum oscillation frequencies well above 100 GHz. The traditional digital<br />

silicon industry also, driven by increasing market demands and cost constraints, has put<br />

substantial effort in developing analog microwave circuits. Silicon based bipolar and<br />

CMOS transistors with transit times and maximum oscillation frequencies above 100<br />

GHz are now available, making it possible to develop monolithic microwave ICs<br />

(MMICs) for frequencies up to 50 GHz. Along with the transistors, varactors are the<br />

other widely used components used in microwave technology for analog (nondigital)<br />

tuning purposes. In spite of the progress achieved in the transistor technology, no<br />

semiconductor varactors with high enough Q factor and tunability are available for<br />

frequencies above 10–20 GHz. Typically, the Q factors of semiconductor varactors<br />

decrease with the increased frequency as Q ~ f −1 , and at 50 GHz it is of the order 10 or<br />

less. There is a lack of varactors with adequate (compatible with the transistors)<br />

performance in this frequency range.<br />

The current progress indicates that, to a certain degree, the “varactor gap” may be filled<br />

in by ferroelectric varactors. After several decades of research considerable progress has<br />

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