The present invention relates to the field of sensors based on the frequency of oscillation of an optomechanical cavity fabricated on the tip of an optical fiber, especially for use in sensing environmental conditions.
The advancement in the MEMS industry has enabled the development of mechanical resonators to measure physical parameters such as temperature, mass, pressure, radiation, stress, acceleration and chemical changes with unprecedented sensitivity. A conventional MEMS system used to measure such a physical parameter consists of a transducer to actuate the mechanical system into vibration and a detector to sense changes in this resonance frequency of the mechanical system. Any of the parameters to be measured affects the resonance frequency of the mechanical element, and the measurement system is designed to read this change in resonance frequency and to convert it to a measurement of the parameter desired. Although such prior art devices generally utilize nanoscale mechanical elements constructed on-chip, the need for external electronic excitation or actuation systems, which may be bulky, or which may require careful alignment with the on-chip resonator, remains a disadvantage of such passive MEMS devices. An active mechanical system of such a type, including a resonating optical cavity in an on-chip device configuration has been described in an article by Stay Zaitsev et al, entitled “Forced and self-excited oscillations of an optomechanical cavity”, published in Phys. Rev. E 84, 046605 (2011), incorporated herein by reference in its entirety. In this design, a high finesse optical cavity is formed between the reflecting surface of the mechanical resonator element and another static optical interface located nearby. The disadvantage of this set-up is the need for precise 3-dimensional nanoscale alignment of optical elements, and the complexity of supplying the electrical drive to the capacitative driving element in close proximity to the mechanical resonator.
In the article entitled “Optical fiber tip acoustic resonator for hydrogen sensing”, by C. Ma and A. Wang, published in Optics Letters, Vol. 35, no. 12, pp. 2043-2045 (Jun. 15, 2010), a device is described, in which the need for such accurate optical alignment and for such capacitative coupling is obviated, by using a mechanical resonator made of gold fabricated directly on the tip of an optical fiber. Reference is first made to
Reference is now made to
Consequently, this prior art method is complicated by the need to utilize two incident laser beams, and the associated optical elements to avoid interference between them, in order to perform the measurement.
There therefore exists need for a simpler optomechanical cavity measurement device, which overcomes at least some of the disadvantages of the prior art systems and methods, to enable lower-cost and more compact sensor configurations.
In general, throughout this disclosure, in order to avoid nomenclature confusion, an attempt has been made to distinguish between the mechanical resonant element and the optical resonator, by referring to mechanical resonant element as a mechanical resonator, or a mechanical element, while the optical resonator is called an optical cavity.
The disclosures of any publications mentioned in this section and in other sections of the specification, are incorporated herein by reference, each in its entirety.
The present disclosure describes new exemplary systems for the measurement of environmental parameters, using an optomechanical cavity constructed on the end of an optical fiber. The systems of the present disclosure differ from prior art systems firstly in that only a single laser is used to excite the optomechanical cavity, and furthermore, in that the laser is a CW laser, without the need for any modulation. The optomechanical cavity comprises two reflective elements, the first one of which being fixed within the end section of the fiber. The opposing mirror is a surface of a mechanical element, supported at the end of the fiber in such a manner that it can vibrate at its natural resonance frequency, and facing the first reflective element, so as to form the optomechanical cavity. As the mechanical element vibrates at its characteristic frequency, the length of the cavity also “vibrates” at the same frequency, with the result that the light reflected from the cavity back down the fiber is modulated at that same frequency. Detection of that modulation frequency therefore enables the frequency of vibration of the mechanical element to be determined. An advantageous geometry to use is that of a cavity etched into the end of the fiber, with the mechanical element supported over the etched cavity by being attached rigidly to the outer edges of the fiber.
Although the mechanical element can begin vibrating at its resonance frequency without any input power merely as a result of a random positional excursion from its equilibrium rest position, the amplitude of its vibrations can be significantly increased by applying CW laser power, such that the mechanical element undergoes powered self oscillation. The CW laser power thus operates both to excite the mechanical element to vibrate at its resonance frequency, and to detect the frequency of these vibrations by analyzing the optical reflection from the optomechanical cavity.
The mechanical element is responsive to the environmental parameter which it is desired to measure, either directly by the influence of that parameter on the vibration of the mechanical element, or by means of a temperature change of the mechanical element as a result of exposure to the environmental parameter. Such a temperature change generally causes the elasticity and the internal stress of the mechanical element to change, and this change causes a change in the frequency of vibration, which is detected by the optical system.
One exemplary implementation involves a system for measuring an environmental parameter, comprising:
(a) a mechanical element responsive to the environmental parameter to be measured, and disposed on an end of the fiber, the mechanical element being connected to the end of the fiber such that it can vibrate at a resonance frequency, and the mechanical element reflecting light impinging thereon from the fiber, and
(b) a second reflective element disposed at the end of the fiber, such that the mechanical element and the second reflective element form an optical cavity,
In such a system, the second reflective element may be the floor of a cavity over which the first mechanical element is suspended, or it could be a fiber Bragg grating mirror disposed in the end section of the fiber.
In any such systems, the mechanical element may be responsive to the environmental parameter by means of change in its mechanical properties when exposed to the environmental parameter, and this change of mechanical properties may then amend the vibration characteristics of the mechanical element. This change in mechanical properties may arise from a change in the temperature of the mechanical element.
Alternatively, the mechanical element may be responsive to the environmental parameter by means of a direct change in its vibration characteristics when exposed to the environmental parameter.
The laser source in any of the above described systems should have a constant power output, and this should be at a level such that the mechanical element is driven into self-oscillation vibrations by the laser source. In such cases, the mechanical element may be such that when exposed to the environmental parameter, its self-oscillation vibration frequency changes in accordance with the level of the environmental parameter.
The environmental parameter may be any of temperature or pressure in the vicinity of the mechanical element, radiation power incident on the mechanical element, gas contamination in the vicinity of the mechanical element, or acceleration of the system.
The presently claimed invention and its novelty and inventiveness over the prior art will be understood and appreciated more fully from the detailed description, taken in conjunction with the drawings in which:
Reference is now made to
The input CW laser beam 31 is passed by means of a circulator 33 to the fiber tip optical cavity, and is reflected from the two reflectors of the optical cavity—the resonator beam 11 and the floor 13 of the cavity. These two optical signals—that reflected from the resonant beam being frequency modulated at the vibration frequency of the beam, and that from the floor of the cavity being unchanged in frequency—return to the circulator 33 and are directed to the detector 34, where mixing takes place. This results in an output signal at the frequency of vibration of the resonant beam 11, which can then be directed, for instance, to a frequency-to-voltage (f/V) converter 35, of which there is a wide selection of commercially available circuit boards or even IC chips, and the output thereof to a device 36, displaying or recording an output indication proportional to the vibrating beam frequency. This output then represents the level of the characteristic or property 14 being measured by the sensor system. The sampling time of the f/V converter should be of the order of a few milliseconds, to enable speedy response to changes in the measured value, commensurate with the intrinsic sensitivity of the operating conditions of the system, as will be discussed hereinbelow.
In order to understand the manner by which such a self oscillating resonator system operates, reference is now made to
In order to understand the self oscillating mechanism, the converse effect must be considered, namely the influence of the optical behavior of the cavity on its mechanics, and in particular on the flexible resonant vibrating beam. In the self oscillating configuration used in the present implementations of these devices, the optical input influences the mechanics of the beam by means of the heating effect of the optical power in the cavity. In order to perform measurements of high sensitivity, such as low level optical radiation measurements, the vibrating beam is designed to have very small dimensions, typically less than 1000 μm long×25 μm wide, and having a thickness typically of the order of only a few hundred nanometers, such that its mass is only of the order of a few tens of nanograms. Beams of this order of magnitude of size have a mechanical self resonant frequency of the order of the low hundreds of kHz. As a consequence of the low mass of the beam, even though the absorption of gold to visible and near infrared radiation is only of the order of 1.5%, an impinging optical power of only tens of microwatts is capable of generating a substantial increase in the temperature of the resonant beam. Furthermore, the device is generally used in vacuum, such that convection heat losses are essentially nonexistent. There are two main effects of such an increase in temperature on the vibrating beam—(i) as the beam heats up, it expands and distorts because of the difference in thermal expansion between the gold and the fiber ferrule to which it is rigidly attached at it ends, and (ii) as a result of the change in its temperature, its resonance frequency changes, both because of change in the elastic properties of the beam with temperature and because of the above mentioned internal tension generated. These temperature dependent deformation effects can be characterized in terms of the generation of an effective “thermal force” Fth acting on the beam along the direction of the axis of the cavity.
The relationship of the influence of the optical power inside the cavity on the temperature of the beam is now explained. In the steady-state, the temperature change of the beam as a result of the optical power in the cavity is proportional to the change in power level in the cavity. In addition, the thermal force can be regarded, to a first approximation, as being a linear function of the temperature of the resonant beam. Consequently, the thermal force is a linear function of the optical intensity within the cavity. The resonance curve shown in
W=∫Fth dx (1)
where, for a complete oscillation, the integral will be taken over the whole period. In the adiabatic limit, since the temperature of the beam and hence the thermal force exactly follows the curve of
This can be illustrated schematically in
If there were no frictional forces operating within the resonant beam or on it, then the most infinitesimal random mechanical motion of the beam from its rest position would result in a net transfer of optical energy from the optical cavity to the beam, and self-excited oscillation of the beam would occur at the characteristic resonant frequency of the beam. However, because of the frictional forces within the beam, sustained self oscillation of the beam can only occur if the optical energy transfer from the optical cavity exceeds those frictional losses. Consequently, there is a certain required minimum threshold of optical energy within the cavity before self oscillation of the resonant beam can occur. Thus as the optical excitation energy input down the fiber to the cavity is increased, thereby increasing the optical resonant energy within the cavity, so long as this threshold has not been reached, any vibrations of the resonant beam would be limited to those generated by random mechanical motion, and will be of very small amplitude, and damped. As soon as the self oscillation threshold has been reached, the resonant beam will vibrate at its characteristic frequency with a large and sustainable amplitude.
Once this situation has been achieved, the resonant beam can then be used as an efficient and sensitive detector of the environment in which it is situated. The simplest application of such an optomechanical cavity sensor may be considered to be as an optical power meter. Exposure to the incident optical power, impinging on the resonant beam from the side opposite to that of the optical cavity, will cause the beam to change its temperature in accordance with the flux of incident optical energy. This change in temperature will result in a change in the resonant frequency of the vibrating beam, and this change in resonant frequency can be measured optically by its modulating effect on the light reflected from the cavity back down the optical fiber.
The above-described device therefore demonstrates the ability to drive the resonant mechanical element of an on-fiber optomechanical cavity by means of a single CW optical input. This is in contrast to prior art optomechanical measurement devices, where the resonance is generated either by means of a capacitive or other electrical drive mechanisms, or by input of a separate modulated laser source in order to generate the resonant beam vibrations. The device thus enables a particularly simple and cost-effective optomechanical measurement device, integrated directly onto the end of the optical drive fiber, which is used not only for driving the cavity resonance, but also for the measurement itself.
The detection sensitivity of the device increases with increased amplitude of vibration of the resonant beam. Consequently although it is possible to detect vibration of the resonant beam on the basis of the oscillations generated in the beam from the random Brownian mechanical motion, these oscillation amplitudes are very small, as explained hereinabove, and will not generally lead to useful sensitivities of the device, unless the detected signal can be integrated over a long period of time to accumulate a useful output. In order to increase the sensitivity, to enable a device which can provide a measurement within a practically useful time, it is necessary to increase the input optical power until the threshold level for self-excited oscillation is reached, rather than relying just on the oscillations generated by random thermal motion. Thereafter, since the amplitude of vibration of the resonant beam can be increased by increasing the optical intensity within the cavity, it is advantageous to work with the highest input optical power commensurate with the cost and convenience of generation of that power.
This progression can be illustrated by reference to
Reference is now made to
As previously mentioned, a large number of applications can be performed using the exemplary devices described in this disclosure. What is required of these applications is that the environmental parameter to be measured should be such that it has a direct interaction with the resonant beam, causing a measured change in either its resonance frequency or its damping rate. The use of the device in measuring optical radiation has already been described. In addition the device can be used for measuring temperature, since it is the temperature of the resonant beam which directly determines its frequency of vibration. Additionally, gas contamination presence can be determined, by use of a chemical composition which is sensitive to the gas contamination to be detected, either on the resonant beam, or the resonant beam itself. The chemical or physical interaction of the contamination gas with the resonant beam should cause change in the mechanical properties of the beam (usually because of a change in its temperature), which in turn affects the vibration frequency, which is measured by the device. Particular contamination can also be measured, whereby each particle impinging on the resonant beam causes its temperature to rise, and hence its resonant frequency to change. Pressure can also be measured by providing a resonant element whose motion could be damped in accordance with the pressure in which it is vibrating. However, it is possible that the device would be limited in its useful pressure range, since it may not operate well in the self-excited mode when the pressure becomes too large, as that would lead to a reduction in the Q-factor of the mechanical resonator. Likewise acceleration could be measured for use in an accelerometer, since the acceleration to which the resonant beam is subjected should cause a change in the frequency of self-excited oscillations. The latter two applications are typical of applications involving interaction between the environmental property to be measured, and the resonance condition of the resonant element, without going through any stages of the effect of temperature on the resonant element.
Although the device has been described in terms of a resonant beam connected across the top of the optomechanical cavity, it is to be understood that the invention is not intended to be limited specifically to a rectangular beam geometry, but that other geometries which undergo axial vibration can equally well be used, and are intended to be covered by this disclosure. Thus, to suggest just two examples, a plate-like structure attached by its four corners, or a round disc structure attached by thin leg-like elements to the fiber tip cladding could also be envisaged as vibrating resonant elements used to implement the moving mirror of the optomechanical cavity.
It is appreciated by persons skilled in the art that the present invention is not limited by what has been particularly shown and described hereinabove. Rather the scope of the present invention includes both combinations and subcombinations of various features described hereinabove as well as variations and modifications thereto which would occur to a person of skill in the art upon reading the above description and which are not in the prior art.
The present application claims the benefit under 35 U.S.C.§119(e) of U.S. Provisional Patent Application Ser. No. 61/665,325, filed on Jun. 28, 2012, the contents of which is incorporated herein by reference, in its entirely.
Number | Date | Country | |
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61665325 | Jun 2012 | US |