Abstract: An optical device includes a titanium dioxide substrate layer on a quartz base of a substrate. The substrate is configured to focus light in visible wavelength spectrum of 400 nm to 700 nm. The substrate comprises a first zone and a second zone. In some embodiments, the first zone and the second zone are concentric circles. A plurality of resonators are disposed on the substrate, the plurality of resonators comprising a first plurality corresponding to the first zone and a second plurality corresponding to the second zone. Each resonator is comprised of a dielectric material with a defined thickness “t” in the range of 30 nm to 300 nm. Each resonator has a radius “r” in the range of 30 nm to 300 nm and a gap “g” between adjacent resonators in the range of 5 nm to 200 nm. The first plurality of resonators in the first zone have a first radius within a first radius range that is different from a second radius range of the second plurality of resonators in the second zone.

Abstract: An optical device includes a nanostructured transparent dielectric film, which is a Huygens metasurface. The Huygens metasurface imparts a phase change to light propagating through or reflecting from the surface. The phase change can be achieved by means of a resonant interaction between light and the Huygens resonators, resulting in a controllable phase change of 0 to 2? with approximately 100% light transmission characterized by a below 0.1 dielectric loss tangent of delta and with the height of the resonators less than the wavelength of light. In one embodiment, the metasurface includes titanium dioxide, but many materials or stacks of different materials may be used. The optical device is functional throughout the visible spectrum between 380 and 700 nm. The nanostructured transparent dielectric film includes a plurality of Huygens resonators.

Abstract: An optical device includes a titanium dioxide substrate layer on a quartz base of a substrate. The substrate is configured to focus light in visible wavelength spectrum of 400 nm to 700 nm. The substrate comprises a first zone and a second zone. In some embodiments, the first zone and the second zone are concentric circles. A plurality of resonators are disposed on the substrate, the plurality of resonators comprising a first plurality corresponding to the first zone and a second plurality corresponding to the second zone. Each resonator is comprised of a dielectric material with a defined thickness “t” in the range of 30 nm to 300 nm. Each resonator has a radius “r” in the range of 30 nm to 300 nm and a gap “g” between adjacent resonators in the range of 5 nm to 200 nm. The first plurality of resonators in the first zone have a first radius within a first radius range that is different from a second radius range of the second plurality of resonators in the second zone.

Abstract: An optical device includes a nanostructured transparent dielectric film, which is a Huygens metasurface. The Huygens metasurface imparts a phase change to light propagating through or reflecting from the surface. The phase change can be achieved by means of a resonant interaction between light and the Huygens resonators, resulting in a controllable phase change of 0 to 2? with approximately 100% light transmission characterized by a below 0.1 dielectric loss tangent of delta and with the height of the resonators less than the wavelength of light. In one embodiment, the metasurface includes titanium dioxide, but many materials or stacks of different materials may be used. The optical device is functional throughout the visible spectrum between 380 and 700 nm. The nanostructured transparent dielectric film includes a plurality of Huygens resonators.

Abstract: An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency lies within a certain interval, known as the synchronization range, around the oscillator's natural frequency. Under ordinary conditions, the width of the synchronization range decreases when the oscillation amplitude grows, which constrains synchronized motion of micro- and nano-mechanical resonators to narrow frequency and amplitude bounds. The present invention shows that nonlinearity in the oscillator can be exploited to manifest a regime where the synchronization range increases with an increasing oscillation amplitude. The present invention shows that nonlinearities in specific configurations of oscillator systems, as described herein, are the key determinants of the effect. The present invention presents a new configuration and operation regime that enhances the synchronization of micro- and nano-mechanical oscillators by capitalizing on their intrinsic nonlinear dynamics.

Abstract: An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency lies within a certain interval, known as the synchronization range, around the oscillator's natural frequency. Under ordinary conditions, the width of the synchronization range decreases when the oscillation amplitude grows, which constrains synchronized motion of micro- and nano-mechanical resonators to narrow frequency and amplitude bounds. The present invention shows that nonlinearity in the oscillator can be exploited to manifest a regime where the synchronization range increases with an increasing oscillation amplitude. The present invention shows that nonlinearities in specific configurations of oscillator systems, as described herein, are the key determinants of the effect. The present invention presents a new configuration and operation regime that enhances the synchronization of micro- and nano-mechanical oscillators by capitalizing on their intrinsic nonlinear dynamics.

Abstract: This invention comprises a nonlinear micro- and nano-mechanical resonator that can maintain frequency of operation and amplitude of operation for a period of time after all external power has been removed from the device. Utilizing specific nonlinear dynamics of the micromechanical resonator, mechanical energy at low frequencies can be input and stored in higher frequencies modes, thus using the multiple degrees of freedom of the resonator to extend its energy storage capacity. Furthermore, the energy stored in multiple vibrational modes can be used to maintain the resonator oscillating for a fixed period of time, even without an external power supply. This is the first demonstration of an “autonomous” frequency source that can maintain a constant frequency and vibrating amplitude when no external power is provided, making it ideal for applications requiring an oscillator in low power, or limited and intermittent power supplies.

Abstract: A system and method for detecting mass based on a frequency differential of a resonating micromachined structure, such as a cantilever beam. A high aspect ratio cantilever beam is coated with an immobilized binding partner that couples to a predetermined cell or molecule. A first resonant frequency is determined for the cantilever having the immobilized binding partner. Upon exposure of the cantilever to a solution that binds with the binding partner, the mass of the cantilever beam increases. A second resonant frequency is determined and the differential resonant frequency provides the basis for detecting the target cell or molecule. The cantilever may be driven externally or by ambient noise. The frequency response of the beam can be determined optically using reflected light and two photodetectors or by interference using a single photodetector.

Abstract: A nanoelectromechanical (NEM) switch is formed on a substrate with a source electrode containing a suspended electrically-conductive beam which is anchored to the substrate at each end. This beam, which can be formed of ruthenium, bows laterally in response to a voltage applied between a pair of gate electrodes and the source electrode to form an electrical connection between the source electrode and a drain electrode located near a midpoint of the beam. Another pair of gate electrodes and another drain electrode can be located on an opposite side of the beam to allow for switching in an opposite direction. The NEM switch can be used to form digital logic circuits including NAND gates, NOR gates, programmable logic gates, and SRAM and DRAM memory cells which can be used in place of conventional CMOS circuits, or in combination therewith.

Abstract: A system and method for detecting mass based on a frequency differential of a resonating micromachined structure, such as a cantilever beam. A high aspect ratio cantilever beam is coated with an immobilized binding partner that couples to a predetermined cell or molecule. A first resonant frequency is determined for the cantilever having the immobilized binding partner. Upon exposure of the cantilever to a solution that binds with the binding partner, the mass of the cantilever beam increases. A second resonant frequency is determined and the differential resonant frequency provides the basis for detecting the target cell or molecule. The cantilever may be driven externally or by ambient noise. The frequency response of the beam can be determined optically using reflected light and two photodetectors or by interference using a single photodetector.