“…For applications of frequency-agile devices, it is highly desirable to have as large a dielectric permittivity change ratio [dielectric tunability = (ɛ max −ɛ min )/ɛ max , where ɛ max and ɛ min are the maximum and minimum value of permittivity, respectively] and as low a dielectric loss as possible. To date, there have been extensive studies to increase the dielectric tunability and to reduce the dielectric loss of BST thin films grown on single crystal substrates such as LaAlO 3 [2] and MgO [3], among others, however, the use of these substrates is associated with major drawbacks from an industrial point of view due to their high cost and small-sized geometry [4,5]. Furthermore, the mounting techniques of components during the fabrication of hybrid microwave-integrated circuits are not simple.…”