Frequency compensated oscillator design for process tolerances
First Claim
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1. A method of forming a resonator, comprising:
- subjecting a spring-mass mechanism, with an effective mechanical mass and stiffness and including at least one of a void and an indentation in a first section of the spring-mass mechanism, to a single fabrication process, wherein;
the single fabrication process is at least one of a planar process, a surface micromachining process, a gas flow process, and an etching process;
the subjecting of the spring-mass mechanism to the single fabrication process includes simultaneously subjecting indiscriminately as a whole to the single fabrication process both (a) a first section at least partially defined by the at least one of the void and the indentation and (b) a second separate section of the spring-mass mechanism;
due to the simultaneous indiscriminate subjection to the single fabrication process of both the first and second sections as a whole, the single fabrication process acts on exposed surface area of the first section and on exposed surface area of the second section of the spring-mass mechanism to simultaneously remove material from both the first section and the second section;
due to a first ratio of (a) the exposed surface area of the first section to (b) the exposed surface area of the second section, the removal of the material from the first section by the subjection to the single fabrication process is automatically at a greater rate than the removal of the material from the second section by the subjection to the single fabrication process; and
the automatic greater rate of removal of the material from the first section than the rate of removal of the material from the second section is automatically at a second ratio due to which, the single fabrication process maintains a third ratio between the effective mechanical stiffness to the effective mechanical mass from prior to the subjecting of the spring-mass mechanism to the process until after completion of the process.
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Abstract
A continuous or distributed resonator geometry is defined such that the fabrication process used to form a spring mechanism also forms an effective mass of the resonator structure. Proportional design of the spring mechanism and/or mass element geometries in relation to the fabrication process allows for compensation of process-tolerance-induced fabrication variances. As a result, a resonator having increased frequency accuracy is achieved.
22 Citations
22 Claims
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1. A method of forming a resonator, comprising:
subjecting a spring-mass mechanism, with an effective mechanical mass and stiffness and including at least one of a void and an indentation in a first section of the spring-mass mechanism, to a single fabrication process, wherein; the single fabrication process is at least one of a planar process, a surface micromachining process, a gas flow process, and an etching process; the subjecting of the spring-mass mechanism to the single fabrication process includes simultaneously subjecting indiscriminately as a whole to the single fabrication process both (a) a first section at least partially defined by the at least one of the void and the indentation and (b) a second separate section of the spring-mass mechanism; due to the simultaneous indiscriminate subjection to the single fabrication process of both the first and second sections as a whole, the single fabrication process acts on exposed surface area of the first section and on exposed surface area of the second section of the spring-mass mechanism to simultaneously remove material from both the first section and the second section; due to a first ratio of (a) the exposed surface area of the first section to (b) the exposed surface area of the second section, the removal of the material from the first section by the subjection to the single fabrication process is automatically at a greater rate than the removal of the material from the second section by the subjection to the single fabrication process; and the automatic greater rate of removal of the material from the first section than the rate of removal of the material from the second section is automatically at a second ratio due to which, the single fabrication process maintains a third ratio between the effective mechanical stiffness to the effective mechanical mass from prior to the subjecting of the spring-mass mechanism to the process until after completion of the process. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16)
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17. A method, comprising:
subjecting at least a section of a resonator structure, with an effective mechanical mass and stiffness and including at least one of a void and an indentation, to a single fabrication process, wherein; the single fabrication process is at least one of a planar process, a surface micromachining process, a gas flow process, and an etching process; the subjecting of the resonator structure to the single fabrication process includes simultaneously indiscriminately subjecting to the single fabrication process, as a whole, the at least the section of the resonator structure, which includes exposed surface area; due to the simultaneous indiscriminate subjection of the at least the section of the resonator structure as a whole to the single fabrication process, the single fabrication process indiscriminately acts on all of the exposed surface area of the at least the section of the resonator structure to simultaneously indiscriminately remove material across the exposed surface area of the at least the section of the resonator structure; the exposed surface area is at least partially defined by the at least one of the void and the indentation; and due to a first ratio of the exposed surface area to non-exposed area of the at least the section of the resonator structure, the removal of the material by the subjection to the single fabrication process is automatically in a manner that maintains a second ratio between the effective mechanical stiffness to the effective mechanical mass from prior to the subjecting of the resonator structure to the process until after completion of the process. - View Dependent Claims (18, 19, 20, 21, 22)
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