Abstract: Electromechanical systems dilation mode resonator (DMR) structures are disclosed. The DMR includes a first electrode layer, a second electrode layer, and a piezoelectric layer formed of a piezoelectric material. The piezoelectric layer has dimensions including a lateral distance (D), in a plane of an X axis and a Y axis perpendicular to the X axis, and a thickness (T), along a Z axis perpendicular to the X axis and the Y axis. A numerical ratio of the thickness and the lateral distance, T/D, is configured to provide a mode of vibration of the piezoelectric layer with displacement along the Z axis and along the plane of the X axis and the Y axis responsive to a signal provided to one or more of the electrodes. Ladder filter circuits can be constructed with DMRs as series and/or shunt elements, and the resonators can have spiral configurations.

Abstract: Electromechanical systems dilation mode resonator (DMR) structures are disclosed. The DMR includes a first electrode layer, a second electrode layer, and a piezoelectric layer formed of a piezoelectric material. The piezoelectric layer has dimensions including a lateral distance (D), in a plane of an X axis and a Y axis perpendicular to the X axis, and a thickness (T), along a Z axis perpendicular to the X axis and the Y axis. A numerical ratio of the thickness and the lateral distance, T/D, is configured to provide a mode of vibration of the piezoelectric layer with displacement along the Z axis and along the plane of the X axis and the Y axis responsive to a signal provided to one or more of the electrodes. Ladder filter circuits can be constructed with DMRs as series and/or shunt elements, and the resonators can have spiral configurations.

Abstract: Embodiments relate to a sensing device configured to sense the environment of an antenna in a wireless communications or wireless power transfer device without impacting data signal or transferred power integrity. By incorporating a sensing device in the wireless device that operates outside the data signal operating and operational power transfer frequency(s) of the antenna, send/receive data signal integrity may be retained while sensing the environment of the antenna. The sensing device may further use properties of the sensed environment to adjust the configuration of a tunable antenna to decrease signal degradation due to the environment and increase battery life or power transfer efficiency of the wireless device.

Abstract: This disclosure provides systems, methods, and apparatus related to inductors. In one aspect, a planar inductor may include a substrate with a spacer in the shape of a planar spiral coil on a surface of the substrate. Disposed on the spacer may be a line of metal formed as a planar inductor in the shape of the planar spiral coil. The spacer may be between the line of metal and the surface of the substrate. The spacer may elevate the line of metal above the surface of the substrate.

Abstract: An impedance matching circuit is disclosed. The impedance matching circuit includes two or more mutually coupled inductors. A total self inductance of the impedance matching circuit is less than a corresponding impedance matching circuit that includes inductors that are not mutually coupled. The two or more mutually coupled inductors may have known current ratios that match current ratios in the corresponding impedance matching circuit.

Abstract: Electromechanical systems dilation mode resonator (DMR) structures are disclosed. The DMR includes a first electrode layer, a second electrode layer, and a piezoelectric layer formed of a piezoelectric material. The piezoelectric layer has dimensions including a lateral distance (D), in a plane of an X axis and a Y axis perpendicular to the X axis, and a thickness (T), along a Z axis perpendicular to the X axis and the Y axis. A numerical ratio of the thickness and the lateral distance, T/D, is configured to provide a mode of vibration of the piezoelectric layer with displacement along the Z axis and along the plane of the X axis and the Y axis responsive to a signal provided to one or more of the electrodes. Ladder filter circuits can be constructed with DMRs as series and/or shunt elements, and the resonators can have spiral configurations.

Abstract: Electromechanical systems dilation mode resonator (DMR) structures are disclosed. The DMR includes a first electrode layer, a second electrode layer, and a piezoelectric layer formed of a piezoelectric material. The piezoelectric layer has dimensions including a lateral distance (D), in a plane of an X axis and a Y axis perpendicular to the X axis, and a thickness (T), along a Z axis perpendicular to the X axis and the Y axis. A numerical ratio of the thickness and the lateral distance, T/D, is configured to provide a mode of vibration of the piezoelectric layer with displacement along the Z axis and along the plane of the X axis and the Y axis responsive to a signal provided to one or more of the electrodes. Ladder filter circuits can be constructed with DMRs as series and/or shunt elements, and the resonators can have spiral configurations.