1. Field of the Invention
The invention relates to micromechanical elements. Especially, the invention relates to controlling micromechanical elements such as micromechanical capacitive or galvanic switches or microrelays, micromechanical optical switches, bi-stable tunable capacitors or capacitor banks, or any other bi-stable or multi-state micromechanical actuators.
2. Micromechanical Elements
In microelectronics the trend is towards a higher level of integration. The same is happening in micromechanics as well. Consequently, micromechanical elements designated especially for microelectronic purposes need to be more highly integrated because of the requirement for smaller and smaller components for electrical applications. By using micromechanical elements, such as micromechanical switches or microrelays, many advantages can be achieved. For example, the size of the devices becomes smaller and the manufacturing costs become lower. There are also other advantages as will be demonstrated later.
In the following micromechanical switches are presented more closely. Micromechanical switches belong to the field of micromechanical elements, which will be widely used in many future applications. Micromechanical switches create interesting opportunities, e.g. for radio frequency circuits. The advantages of using micromechanical structures, especially when applied to radio frequency circuits, are low insertion loss (below 0.5 dB) and high isolation (over 30 dB). A further advantage of micromechanical switches is that micromechanical switch structures can be integrated monolithically in integrated circuits.
The operation of a micromechanical switch is controlled with a control signal or signals, coupled to electrodes of the switch. By means of the control signal the micromechanical switch is arranged to change its state. The main disadvantage of the currently available micromechanical switches operated by electrostatic or voltage control is that the necessary control voltage tends to be in the range of 10–30 V. This kind of voltage is much higher than the supply voltage used in state-of-the-art (Bi)CMOS devices used for switching operations. Furthermore, the switching delay and necessary control voltage level are fundamentally related to each other in that a faster switching time requires a higher mechanical resonance frequency and thus a stiffer mechanical structure. Stiffer mechanical structures will however make higher control voltage levels necessary.
3. The Theory of Switching Dynamics in Micromechanical Switches
In micromechanical elements, especially in micromechanical switches, the switching characteristics and behavior resembles classical mechanical relays in many senses. For this reason the operation of micromechanical switches are modeled with simplified piston models.
The electrostatic force between the capacitor plates of a plate capacitor is
Here W is the energy stored in the capacitance C, U is the voltage difference, Q is the charge, x is the displacement, and go is the original gap between the capacitor plates.
In
where g0 is the original gap between the capacitor plates, x is the displacement from the rest position, U is the electric potential difference between the capacitor plates, κ is the spring constant, A is the capacitor area, and ε0 is the dielectric constant.
The model of
are zero.
The pull-in or the collapse of the piston structure occurs independently of the dimensions of the structure when the deflection is
x=g0/3, (3)
and when the voltage is
As can be seen from
After the collapse the gap is reduced to a value determined by the height hbump of these mechanical limiters on the surface of the fixed electrode. In order to release the switch, the voltage between the electrodes must be reduced to a value where the mechanical force can again compensate the electrical force. Thus we can find the value of the release voltage
The release voltage is clearly smaller than the pull-in voltage. For example, for 100 nm high limiters, the release voltage is roughly 10% of the pull-in voltage. Thus even if a high voltage is needed for causing pull-in, a much lower voltage is needed to keep the electrode in the pulled-in state.
a illustrates the typical voltage-to-deflection characteristics of a micromechanical switch. The movable structure deflects towards the fixed electrode until the pull-in happens. When the voltage is lowered below the release voltage, the structure relaxes back to the equilibrium position between the mechanical and electrostatic forces. In general, structures with multiple states can be designed as well.
Equation (1) implies that if the charge of the capacitor can be controlled instead of the voltage across the capacitor, the pull-in instability can be avoided because the force generated by a constant charge is not dependent on deflection. There are several implementations known in literature to achieve charge control, and charge control of micromechanical structures are experimentally proven. The advantage is a much larger tuning range.
Instead of constant voltage or constant charge, an AC voltage or current can as well be used to control the deflection of a micromechanical structure. When a sinusoidal current is applied through a capacitor, the charge of the capacitor q behaves as
where îac is the amplitude of the AC current and ωac is the frequency. For further analysis, the initial charge q0 can be set to zero. If the frequency of the AC current is higher than the mechanical resonance frequency, the dc component of the force will be
One simple way to convert the AC voltage signal into an effective AC current is to use a LC tank circuit. Typically the capacitance of a micromechanical element is in the range from 1 pF to 30 pF. The AC voltage input signal is converted into an alternating current through the capacitor. With the help of an LC tank circuit very high amplitude of oscillating current or charge on the capacitor can be achieved. The amplitude of the current depends on the quality factor Q of the LC tank circuit when the tank circuit is resonating. In the preferred implementation, the tank circuit Q value should be over 10.
If the LC tank circuit is applied to switch control, the switching delay of a micromechanical element controlled by an AC signal passed through the inductor depends on several parameters:
τswitch=τswitch(Qm, f0, Upull-in, Ucontrol, f1, Qs, fLC) (8)
where f0 is the mechanical resonance frequency, Qm the mechanical quality factor, Upull-in the pull-in voltage, fLC is the resonance frequency of the LC tank circuit at the initial state with no deflection of the micromechanical element, Qs the quality factor of the LC tank circuit, and Ucontrol and f1 are the level and frequency of the control voltage, respectively.
In order to optimize the switching delay, the mechanical quality factor needs to be compromised to be high enough to give sufficient fast motion but also small enough to damp the switch bouncing after first contact. Optimal value for the mechanical quality factor is roughly 0.05–0.5. This can be adjusted by suitable design of the switch structure and by the pressure of the surrounding gas.
The switching time is inversely proportional to the mechanical resonance frequency. The lower the required switching time, the stiffer the mechanical structure should be. According to Equation (3) this leads to a higher pull-in voltage and a higher voltage level needed to trigger the micromechanical bi-stable element.
The switching delay is also dependent on the amplitude and the frequency of the control signal. In addition, the matching between the tank circuit resonance frequency fLC and the control signal frequency f1 will influence the force and the switching delay. Note that the tank circuit resonance frequency fLC is not constant during the operation of the switch: when the capacitive gap of the micromechanical structure gets narrower, the resonance frequency fLC gets lower and is mismatched from the signal frequency f1.
c shows the dependence of the switching delay on the ratio between the electrical (fLC) or mechanical (fm) resonance frequencies to the signal frequency f1. The switching delay is shortened by increasing the signal frequency f1. The optimal signal frequency is 100–1000 times higher than the mechanical resonance frequency.
The object of the invention is to present a method and an arrangement for controlling micromechanical elements in a practical way. At the same time, the object of the invention is to mitigate the described problems when controlling the operation of micromechanical elements.
The objects of the invention are achieved by using at least two control signals, one of which is used to set the micromechanical element to a active (closed) state and another which is used to hold the micromechanical element in the active (closed) state. The active state is typically a pull-in state.
The objects of the invention can alternatively be achieved by combining the two control signals in a single signal. The advantage of this kind of arrangement is that the voltage level needed to hold the micromechanical element in the pull-in state can be lowered. As a result the power consumption can be minimized and complicated dc-dc converter circuits to create higher voltage levels are not needed. An additional benefit is that the arrangements to receive the advantages of the invention are simple and easy to implement.
The method for controlling at least one micromechanical element is characterized in that
The arrangement for controlling at least one micromechanical element is characterized in that the arrangement comprises at least
According to the invention a control circuit is arranged for the micromechanical element. The control circuit comprises at least an arrangement in which at least two control signals are received and at least one output signal is generated. The first control signal is used for holding the state of the micromechanical element, when it is active or in conducting state. The micromechanical element is set to the active state with a second control signal. The second control signal alone or the sum of the first control signal and the second control signal is advantageously such that they cause the micromechanical element to change its state.
Advantageously, the first control signal is a constant voltage signal and the second control signal is an alternating signal such as a sinusoidal signal or a pulse or pulse train signal.
Alternatively both signals can be AC signals of different frequencies. Alternative both signals can be pulse signals of different pulse width or of different pulse density. Alternatively the two signals can be a combination of two signals, each with any of the above signal properties. A selection of advantageous control signals is depicted in
Advantageously at least one of the signals is of a frequency that will cause electrical or mechanical resonance of the micromechanical element Cs.
According to the invention a LC tank circuit is used to create a high amplitude oscillating current or charge on the capacitive micromechanical element for a transient period with a duration that is long enough to cause the change of the state of the bi-stable micromechanical element.
The invention can be applied for example to a micromechanical switch comprising a galvanic contact, micromechanical capacitive switches, bi-stable micromechanical capacitors and capacitor banks, micromechanical optical switches, or any capacitively controlled bi-stable or multi-state micromechanical actuator.
a–c illustrate various micromechanical switch structures,
a illustrates typical voltage-to-deflection characteristics of a micromechanical capacitive element,
b illustrates voltage-to-capacitance characteristics of a three state capacitive structure,
c illustrates the dependence of the switching delay on the ratio between the electrical or mechanical resonance frequencies to the signal frequency,
d illustrates the dependence of the switching delay on the ratio of the tank circuit resonance frequency and the control signal resonance frequency,
a–e illustrate basic concepts of the invention,
a–h illustrate waveforms used to control a micromechanical element,
a–d illustrate embodiments of the invention for controlling a micromechanical element,
a–b illustrate embodiments of the invention for controlling a micromechanical element,
a–b illustrate embodiments of the invention for controlling multiple micromechanical switches,
a–b illustrate implementations of control electrodes on a substrate,
In
As can be seen from
For a person skilled in the art it is obvious that the above described waveforms can be either sinusoidal or pulse formed or a combination thereof. For example, the trigger part of the waveform in
According to the invention it is advantageous that the used control signal frequency is a sub-harmonic frequency of the mechanical resonance frequency of the micromechanical element. The control signal frequency can also be a sub-harmonic frequency of the electrical resonance circuit, which will be described later more closely.
In the case of at least two control signals Utrig and Uhold the basic idea is that by means of at least the second control signal Utrig and the first control signal Uhold the micromechanical element is arranged to change its state and by means of the second control signal Uhold it is arranged to remain in its new state. Without any control signal the micromechanical element is arranged to return to the inactive state.
Next we consider the operation of the embodiments of the invention, shown in
According to a second embodiment of the invention, which can be explained with
A third embodiment of the invention, illustrated in
The output of the summing element 401 is applied to a LC circuit 403, 402. This LC tank circuit is used to create a high amplitude oscillating current or charge through the capacitor because of resonance amplification of the output signal by the LC circuit. The LC-circuit comprises at least an inductor 403 of inductance L and a capacitance C. The capacitance C is advantageously the intrinsic capacitance Cs of the micromechanical element. The capacitance can also be arranged as an external component to the micromechanical element, which can be understood that the capacitor is on the same substrate with the micromechanical element, but external to it, or even on a different substrate with the micromechanical element.
Advantageously, the frequency of the output signal from the summing element 401 is nearly the same as the resonance frequency of the LC-circuit that causes the amplification of the output signal. Optimally, the frequency of the output signal from the summing means 401 is 1–6% lower than the initial resonance frequency of the LC tank circuit, as shown in
To a man skilled in the art it is obvious that the frequency of the output signal is determined by the frequency of the second control signal if the first control signal is a DC voltage signal.
It is also obvious to a person skilled in the art that a sub-harmonic frequency as well can be used as a control signal.
According to the invention the amplified output signal causes the change of state in the micromechanical element. Generally, by means of the LC-circuit the amplitude of the output AC signal or overlaid AC signal can be raised enough so that the required voltage level causing pull-in is reached. Taking advantage of the LC-circuit the AC voltage signal is converted into alternating charge in the switch capacitance. This charge will give rise to a unidirectional force component that makes the micromechanical element change its state. In the implementation shown in
A fourth embodiment of the invention, illustrated by
d illustrates a fifth embodiment of the invention. The input signal Uin both pulls in and holds the micromechanical element in the pull-in state until the signal Uin, is removed. The micromechanical element will however remain in the pull-in state for some time if there is any remaining charge on Cs. Switching means 405 are added to the previous circuit shown in
e illustrates a sixth embodiment of the invention where the Uin signal of the Previous embodiment is exchanged for a fixed DC voltage Vt, advantageously the holding voltage Vhold. A field effect transistor (FET) 406 is arranged to draw current supplied by Vt through the inductor 403. The operation of the FET switch 406 can be controlled by inserting Ucontrol pulses to the gate of the FET 406. During triggering the FET 406 is pulsed at or near the resonance frequency of the LC combination causing the voltage over the capacitor plates to reach the necessary pull-in voltage. The DC holding voltage Vt flowing through the inductor 403 is after triggering sufficient to keep the switch 402 in the active pull-in state. When Vt is removed, the micromechanical element 402 releases.
Alternatively, if the voltage Vt is not sufficient in itself to keep the micromechanical element 402 in the pull-in (active) state, the voltage Vt can be augmented by inserting short duration Ucontrol pulses to the gate of the FET 406 at a lower repetition rate or frequency. The advantage is that in this case the voltage Vt needs not to be removed for the micromechanical element 402 to release.
Advantageously, the lower repetition frequency is a sub-harmonic of the electrical resonance frequency of the LC circuit formed in micromechanical element or the mechanical resonance frequency of the micromechanical element.
When it is desired to release the micromechanical element 402 from the pull-in state an additional brief pulse is advantageously arranged to be sent to the FET switch 406 in order to discharge the capacitance Cs thus reducing the switch-off delay time.
a illustrates an embodiment of the invention comprising a controller 601 supplying a voltage or waveform 602, an inductance 403 and a micromechanical element 402. The controller supplies the Uin signal 602 to drive a LC resonance circuit. The operation of the micromechanical element is the same as described in the fourth and fifth embodiments.
In a first practical embodiment relating to the implementation shown in
In a second practical embodiment relating to the implementation shown in
b illustrates an embodiment of the invention comprising a controller 611 controlling a supply switch 613 and also a high speed operating switch 406, preferably a FET switch. The semiconductor switch normally operates at a frequency causing electrical resonance in the serial resonance circuit formed by the inductor 403 and the capacitor 402. The operation principle of this circuit was earlier described when the sixth embodiment of the invention was introduced with referral to
In a first practical embodiment relating to the implementation shown in
In a second practical embodiment relating to the implementation shown in
In a third practical embodiment relating to the implementation shown in
c illustrates an embodiment of the invention that does not use the previously demonstrated tank-circuit resonance to achieve the triggering voltage. The circuit according to
In a first practical embodiment according to implementation shown in
In a second practical embodiment according to implementation shown in
d illustrates an embodiment of the invention that instead of using an active controller uses a feedback network to induce self-resonance. The amplifying feedback phase shifting network causing self-resonance can be gated on or off with the signal 631 operated by the Utrig control signal. The advantage with this embodiment is that there can be no frequency mismatch between driving signal frequency and the LC circuit resonance frequency.
In a first practical embodiment according to the implementation shown in
In a second practical embodiment according to the implementation shown in
a illustrates an embodiment of the invention comprising an amplifier stage 703 for driving the LC circuit 402 and 403 and a controller 701 having as inputs Uhold and Utrig and a supply voltage Vcc. The controller 701 controls the amplifier stage 703 with a single line 702. Advantageously, the holding voltage Vt is also the supply voltage for the amplifier stage 703.
According to a first practical embodiment according to the implementation shown in
According to a second practical embodiment relating to the implementation shown in
According to a third practical embodiment relating to the implementation shown in
b illustrates an embodiment of the invention comprising a self-oscillating amplifier stage 703 driving the LC circuit 402, 403 and a controller 701 having inputs Uhold and Utrig and a supply voltage Vcc. A feedback path is arranged with the help of a feedback capacitor 705 from the inductor 403. The controller 701 controls the amplifier stage 703 with a single line 702. Advantageously, the holding voltage Vt is also the supply voltage for the amplifier 703. A magnetically coupled coil or advantageously a tap 706 from the inductor 403 is arranged in order to provide a phase shifted feedback signal to be passed to the amplifier stage by the feedback capacitor 705. In
In a first practical embodiment according to the implementation shown in
In a second practical embodiment according to the implementation shown in
a–b illustrates embodiments of the invention that can be used in situations, where several micromechanical elements 402 need to be controlled. In
In a first practical embodiment relating to the implementation shown in
In a second practical embodiment according to the implementation shown in
In
The above described embodiments have disclosed the control of the micromechanical elements. All the embodiments of the control circuits make use of electrical signals. In particular, most of the embodiments disclose implementations, which advantage the LC resonance in order to amplify the control signal effect. Another possibility in addition to using LC resonance to enhance the second control signal Utrig is to advantage the mechanical resonance of the micromechanical element itself. This can be done by matching the harmonic frequency of the second control signal to the mechanical resonance of the micromechanical element structure. However, this requires a high Q value for the mechanical structure. In practice, this means that the micromechanical structure must operate in a vacuum in order to minimize disturbances.
Generally, it can be said that the arrangement for controlling a micromechanical element comprises at least means for generating at least a first control signal and a second control signal. These means can for example be voltage converter means. Even a battery is appropriate for this purpose. The arrangement according to the invention comprises means for raising a voltage level of at least the second control signal. The means can also be a common voltage converter circuit, especially in case where a certain voltage level is raised to a higher voltage level. Other possibility is that the means for raising a voltage level of at least the second control signal consists of an inductor and a capacitor forming a LC circuit. Here, it is possible to take advantage of the intrinsic capacitor of the micromechanical element. The inductor and the capacitor can also be discrete components. The arrangement according to the invention comprises additionally means for applying the first control signal and the second control signal with raised voltage level to the micromechanical element. These means are for example a summing circuit, which is used for summing the first control signal and the second control signal together and for feeding the sum of the signals to the micromechanical element. To a man skilled in the art it is obvious that the raise of the voltage level of at least the second control signal can be performed before or after the means for feeding the signals to the micromechanical element. This depends on the implementation of the control circuit.
In
In
b illustrates the same kind of arrangement as shown in
According to the invention the control electrodes are at least partly covered by a dielectric layer to prevent a galvanic contact between said control electrodes and the micromechanical element.
When the invention is applied to micromechanical switches with the inductor integrated on the same substrate the practical inductance values for the inductor will be in the order of 100 nH to 10 000 nH and the Q factor will need to be better than 10 in the frequency range from 1 to 200 MHz. The mechanical resonance Q factor is depending on the desired switching time but will be in the order of 0.01 to 0.5.
In the description it has been shown different kinds of arrangement by means of which the operation of the micromechanical elements, such as switches, can be controlled. So far it has not been paid attention to the practical values of components and elements, which are used. For clarifying the technical features of the arrangement the micromechanical switch can for example be such that its mechanical resonance frequency f0 is from 10 to 200 kHz. The mechanical quality factor Qm is between 0.05 and 0.5. The pull-in voltage Upull-in is 10–30 V and the intrinsic capacitance of the micromechanical switch is 1–30 pF. The inductance of the inductor used can advantageously be 100 nH–10 μH. The quality factor Q of the LC tank circuit is advantageously larger than 10 and the resonance frequency fLC of the tank circuit is 1–200 MHz. The AC voltage source used for producing the second control signal Utrig has amplitude, which is about 0.1–0.2 times the pull-in voltage Upull-in. Typically, this is something like 1–3 V. The frequency of the AC signal is from 1 to 200 MHz. The DC voltage source for producing the first control signal produces a voltage the amplitude of which is 0.1–0.2 times the pull-in voltage Upull-in, typically it is 1–3 V. To a person skilled in the art it is obvious that the values shown above are only examples and do not restrict the invention anyhow.
The control of micromechanical elements is advantageously carried out using low voltage in order to reduce the complexity and thus the price. New inventive and practical solutions for the control of micromechanical elements have been presented here. These micromechanical elements can be switches, relays or any other kind of micromechanical elements for electrical and optical switching purposes.
Micromechanical elements are today used for many purposes in the field of telecommunications. For example, micromechanical elements are used in mobile stations, where switching is needed for many purposes especially in dual band or dual mode mobile stations.
In the implementations that have been described the components and means can be replaced with other elements performing essentially the same operations.
The invention has been explained above with reference to the aforementioned embodiments. However, it is clear that the invention is not restricted only to these embodiments, but comprises all possible embodiments within the spirit and scope of the inventive thought and the following patent claims.
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