Design and characterization of Adaptive microbolometers

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    INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF MICROMECHANICS AND MICROENGINEERING

    J. Micromech. Microeng. 16 (2006) 10731079 doi:10.1088/0960-1317/16/5/028

    Design and characterization of adaptivemicrobolometers

    Woo-Bin Song1 and Joseph J Talghader2

    1 School of Electrical and Computer Engineering, Purdue University, West Lafayette,

    IN 47907, USA2 Department of Electrical and Computer Engineering, University of Minnesota,

    Minneapolis, MN 55455, USA

    E-mail: [email protected] and [email protected]

    Received 16 October 2005, in final form 5 January 2006Published 19 April 2006Online at stacks.iop.org/JMM/16/1073

    AbstractWe report the first practical results on design and characterization ofadaptive microbolometers with a thermally tuned responsivity. Such devicesare needed to simultaneously image scenes that contain objects at ambientand extremely hot temperatures. In the high detectivity state, themicrobolometers are operated similar to standard commercial devices. Inthe low detectivity state, portions of the support beams are brought incontact with the substrate, which thermally shorts the devices on apixel-by-pixel basis. This is the first time this concept has been practicallyimplemented in a microbolometer device architecture as opposed to simplecantilever beams and plates. The maximum actuation voltage is set to 17 V,and the thermal conductances, responsivities and detectivities of a typicaldevice can be switched more than an order of magnitude between 1.65

    105 W K1 and 2.99 104 W K1, between 1.5 V W1 and 0.2 V W1and between 1.8 106 cm Hz1/2 W1 and 1.5 105 cm Hz1/2 W1,respectively. This extends the dynamic range of the device more than anorder of magnitude. The device pixel size is 100 m 100 m.

    1. Introduction

    Photon detectors based on small bandgap materials suchas Hg0.8Cd0.2Te (MCT), InSb and others have been studied

    and commercialized primarily for military and space scienceapplications [1]. These photon detectors have very high

    performance but require cryogenic cooling systems to reduceparasitic dark currents.

    With the advent of micromachining technology, it wasrealized that sufficiently high performance could be achievedwith uncooled detectors that operated based on the heating

    of a small mass. Several classes of devices for readingthe rise in temperature were developed. First and most

    prominent of these was the bolometer [2, 3] butalso developedwere pyroelectric detectors [4], thermoelectric detectors [5]

    and others [6]. The cost and weight of these devices aredramatically reduced compared to infrared photon detectors

    because cooling is no longer needed and because the materialsinvolved are much easier to work with. For example, Wood

    et al [2] reported high-quality infrared imaging in an infraredfocal plane array using a monolithic silicon-based process.

    Recent studies have attempted to improve the performance ofthe basic microbolometer by developing high temperature-coefficient-of-resistance (TCR) materials such as high-Tcsuperconductor (YBaCuO [7]), vanadium oxide [8] and so

    on [9, 10]. Also new device structures have been proposed toenhance sensitivity [11], thermal isolation [12] and array fill

    factor [13]. Furthermore, new devices using built-in thermalchopping have been proposed [1416] including a focal plane

    array with a built-in thermal chopper and a two-color thermaldetector with a built-in thermal chopper.

    Typical thermal detectors are designed for high thermalisolation, and this makes them extremely receptive to smalldifferences in background temperature. However, high

    sensitivity potentially has drawbacks when a scene containsvery bright areas that may result from fires, explosions orengine operation. For example, microbolometer arrays thatare tracked across the sun develop a temporary afterimage

    or blindness that diminishes over a period of many minutesto a few hours. One of the causes for this is that the mostcommon TCR material in microbolometers, vanadium oxide,is thermochromic, meaning that its absorption and resistance

    0960-1317/06/051073+07$30.00 2006 IOP Publishing Ltd Printed in the UK 1073

    http://dx.doi.org/10.1088/0960-1317/16/5/028mailto:[email protected]:[email protected]://stacks.iop.org/JMM/16/1073http://stacks.iop.org/JMM/16/1073mailto:[email protected]:[email protected]://dx.doi.org/10.1088/0960-1317/16/5/028
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    W-B Song and J J Talghader

    properties change if the microbolometer is heated higher than

    a semiconductormetal phase transition temperature of about

    68 C [17]. Since many microbolometers heat up by about

    100 C when imaging a 3000 K signal, which is typical of

    many fires, one can see that thermochromic transitions can

    be frequent. In addition, special electronics must be used

    to amplify the signals at the edges of the array in order

    to handle such a large dynamic range. Intensity-dependent

    noise and device damage are other possible issues. Previous

    research in our group has shown that the thermal conductance

    [18] of micromachined beams and plates can be tuned both

    continuously and discretely. Continuous tuning of the thermal

    conductance was demonstrated over a factor of 3 and discrete

    tuning over almost two orders of magnitude. While these

    initial studies were suggestive, no electronic devices were built

    to take advantage of the effect.

    In this paper, we report a microbolometer device

    architecture that incorporates an adaptive responsivity [18].

    These are the first array-compatible microbolometer devices

    to use microactuation to tune device thermal conductance on

    a pixel-by-pixel basis. This is a significant innovation in both

    concept and function because it prevents thermal runaway in

    microbolometers due to intense signals and allows one to see

    in detail both hot and cold regions of a scene in the same

    focal plane array. The required actuation voltage to change

    responsivity is only 17 V, making the devices compatible with

    common change pumping circuits. For simplicity, the

    bolometers are operated to have a binary responsivity: high

    and low for cool and hot signals, respectively. However, if

    one supplied multiple voltages to the devices, a variety of

    responsivities would be possible. The devices do not require

    major changes to standard commercial architectures but rather

    use an already existing electrostatic actuator between the

    ground electrode and detector plate to bring a small area of

    the supports into contact with the substrate, thereby increasing

    the device thermal conductance.

    First, we discuss the basics of an adaptive microbolometer

    in the background. Then, the fabrication of the device

    is explained in detail. To fully characterize this adaptive

    microbolometer, measurements of the thermal conductance,

    responsivity, detectivity and noise equivalent power have been

    made with and without electrostatic actuation.

    2. Principles of bolometer operation

    The responsivity of a thermal detector is expressed as

    = IR0T

    Pi=

    IR0

    G(1 +22)12

    (VW1), (1)

    where is the TCR, Iis the bias current, R0 is the resistance of

    the detector at ambient temperature, T is the temperature

    increase of the bolometer, Pi is the power of the incident

    radiation, is the fraction of the incident radiation absorbed,

    G is the thermal conductance of the microbolometer, is the

    frequencyof the sinusoidal excitation and is the thermal time

    constant. Since the responsivity as shown in (1) is inversely

    proportional to its thermal conductance, the detectors must

    be thermally isolated from their surroundings. As implied in

    the previous section, a good thermal isolation can be achieved

    by having a vacuum gap between the sensing element and

    the substrate with only thin support beams connecting them.

    In vacuum, absorbed heat on the pixel plate from the incident

    radiation dissipates to the substrate through the support beams.

    With this, the thermal conductance for the device in the

    radiation limit can be written as

    G = 2k A

    L

    , (2)

    where G is the thermal conduction through twosupport beams,

    kis the thermal conductivity of a support beam,A is thevertical

    cross-sectional area of a support beam and L is the length of

    a support beam. The factor of 2 comes from the two support

    beams of the devices. Based on (2), we can reduce the thermal

    conductance by using materials with low thermal conductivity

    and having long support beams with a small cross-sectional

    area. To ensure that the thermal conductance is determined

    by the support design, detector arrays are packaged under low

    vacuum conditions in hermetically sealed packages.

    Since the thermal conductance of a typical

    microbolometer is limited by the solid-state conduction

    of the supports, conductances are on the order of 10

    7

    WK1 for commercial systems. In theory, the conductance

    of a microbolometer can be reduced so that it is limited by

    radiation, obtaining a value on the order of 108 W K1.

    Since it has been shown that the thermal conductance across

    a microactuated interface is on the order of 104 W K1, the

    fundamental limit of thermal conductance tuning is almost

    four orders of magnitude. In practice, stiction in the high

    conductance state is likely to limit the maximum thermal

    conductance tuning that can be achieved to one or two orders

    of magnitude.

    The performance of a detector can be also determined by

    its detectivity, which indicates the relative magnitudes of the

    signal and noise at operating frequencies. The detectivity can

    be calculated from the expression

    D =(A)1/2(fbandwidth)

    1/2V

    Vnoise2

    , (3)

    where RV is the responsivity, A is the area of a pixel plate,

    fbandwidth is the electrical bandwidth and V2noise is the mean

    square value of the fluctuating noise voltage.

    As the last important figure of merit, there is the noise

    equivalent power (NEP) defined as the absorbed power change

    which corresponds to a signal-to-noise ratio of unity. TheNEP

    is obtained by measuring thenoise voltage andtheresponsivity

    as shown in (4)

    NEP =

    V2noise

    V, (4)

    where V2noise is the mean square value of the fluctuating noise

    voltage and RV is the responsivity.

    The devices constructed for this study were

    microbolometers that used an inherent electrostatic

    actuator to bring its support beams into partial contact

    with the substrate as shown in figure 1. This induced a large

    change in the thermal conductance of the devices which

    directly led to similar changes in responsivity and detectivity.

    The thermal contact conductances of the material interfaces

    used in micromachining are high enough [19] so that touching

    a small portion is sufficient to cause dramatic changes in

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    Design and characterization of adaptive microbolometers

    (a)

    (b)

    Figure 1. Conceptual diagram of a tunable responsivitymicrobolometer. In (a), the device stands in a state of low thermalconductance and high responsivity. In (b), the device supports havebeen actuated into contact with the substrate, creating a high thermalconductivity and low responsivity state. In practice, only the edge

    farthest from the ground support contacts the substrate to preventstiction.

    detectivity. While total thermal contact could change the

    potential dynamic range by four orders of magnitude [20],

    most imaging requires only a fraction of this range. Partial

    contact also helps to eliminate stiction during operation.

    Relatively low actuation voltages can be used due to the low

    rigidity of the supports.

    3. Fabrication

    3.1. Building the foundation layer and the first sacrificial

    layer

    As the first step, a 500 nm LPCVD silicon nitride layer is

    deposited on the top of a highly doped silicon wafer for

    electrical insulation as shown in figure 2(a). Then, PI2610

    polyimide (HD Microelectronics) is spin coated as the first

    sacrificial layer. Polyimide is used in lieu of a typical silicon

    dioxide because HF used in etch release also etches PECVD

    nitride, which is used as the structural layer later. To improve

    the adhesion between the PI2610 polyimide and LPCVD

    nitride, 0.1% VM-651 diluted in DI water is spin coated at

    5000 rpm for 60 s, and baked at 125 C before applying

    polyimide. For uniform spin coating of polyimide, polyimide

    is spin coated at 500 rpm for 20 s, and then the spin rate

    is ramped to 4000 rpm to get a thickness of approximately

    1.8 m. To improve the etching efficiency of PI2610

    polyimide in O2 plasma, polyimide is fully cured in a

    convection oven. To prevent the polyimide film from

    deformation due to a sudden change in curing temperature,

    polyimide is baked on the hotplate at 90 C for 3 min and then

    at 180 C for 90 s before curing in a convection oven. Finally

    polyimide is loaded to a convection oven, where temperature is

    initially set to 180 C to match the temperature before loading.

    The temperature is increased at a rate of 4 C min1 up to

    400 C. Note that the bulk of the solvent in the polyimide is

    evaporated at the curing temperature of 200 C. However, in

    our process, some still remains and polyimide is cured at a

    higher temperature than 200 C, because of further process

    (a)

    (b)

    (c)

    (d)

    (e)

    Figure 2. Fabrication of an adaptive microbolometer. (a) Spin coatand pattern polyimide for anchors. (b) Deposition of PECVD nitrideand Ti/Au for beams. (c) Spin coat and pattern polyimide as secondsacrificial layer. (d) Deposition of PECVD nitride for top andbottom plates with TCR layer (Ti). (e) Dry etch releasing of pixeland beams.

    issues such as outgassing during PECVD nitride deposition,

    bubble forming during the annealing process and so on.

    Furthermore, N2 gas is introduced in the convection oven to

    prevent any surface reactions. During the curing process, the

    thickness of the polyimide decreases to approximately 1.5m.

    The polyimide is patterned by using a 300 nm thick aluminum

    masking layer which is evaporated and patterned using a lift-

    off process. The polyimide is etched with an O2 plasma to

    form anchor points. During etching, the substrate is heated to

    300 C to accelerate the etch rate as well as prevent the

    formation of residue. Finally the aluminum layeris completely

    etched in aluminum etchant.

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    W-B Song and J J Talghader

    3.2. The support beams and their metallization

    For the structural material, PECVD nitride is chosen for

    two reasons: PECVD nitride has a relatively low thermal

    conductivity compared to LPCVD nitride film. Also, it is

    easy to control stress in PECVD nitride by changing process

    parameters such as temperature and pressure [21, 22]. To form

    support beams, a 500 nm thick PECVD nitride is deposited onthe top of patterned polyimide and etched using a CF4+O2plasma as shown in figure 2(b). We determined the shape that

    yields the lowest actuation voltage by designing and testing

    several shapes and lengths of support beams. To ensure a

    low resistance for electrical read-out, the support beams are

    coated with 50 nm of Ti as an adhesion layer and 300 nm of

    Au as a conducting layer by e-beam evaporation. These layers

    are patterned by lift-off. Due to the poor step coverage of

    the sidewall between the anchor and the edge of the support

    beams, a 50 nm of Ti and 1 m of Au layer is deposited on

    the sidewall of anchor.

    3.3. The second sacrificial layer and the vias

    A second polyimide layer plays an important role in isolating

    the pixel plate from the support beams. As shown in

    figure 2(c), thesecondpolyimide layer is processed in thesame

    manner as the first. After curing, it is etched to define vias

    between theTi/Au and the TCR material (Ti) of the pixel plate.

    The contact between Ti/Au and the TCR material through the

    vias is very important, because it enables the reading of the

    resistance change of the TCR material. Therefore, etching of

    polyimide is done very carefully so that there is no polyimide

    residue on the top of Ti/Au after etching. The polyimide is

    etched in an O2 plasma with the substrate heated to 300C, as

    was done for the first polyimide layer. The complete etchingof polyimide was verified by measuring the resistance of the

    contact between Ti/Au and the TCR material. For example,

    the contact resistance would be higher with the existence of

    the polyimide residue.

    3.4. Top and bottom layers of the pixel plate and the TCR

    layer

    The pixel plate consists of two PECVD nitride layers which

    encapsulate the TCR layer as shown in figure 2(d). This

    structure helps to protect the TCR layer from moisture and

    other contamination. A 200 nm thick PECVD nitride is

    deposited on the top of the second patterned polyimide layer

    and etched in an STS etcher using a CF4+O2 plasma. This

    defines the vias from the Ti/Au metal of the support beams to

    the 100 nm Ti metal TCR layer, which is deposited using

    e-beam evaporation. To encapsulate the Ti layer, another

    200 nm of PECVD nitride is deposited. The two PECVD

    nitride layers and the Ti layer are patterned and etched in

    a CF4+O2 plasma using the STS etcher to form pixel plates

    with a size of 100 m 100 m. In the final step, the

    double polyimide layers are isotropically etched in an O2plasma with substrate heating at 300 C to release the pixel

    plate and its support beams from the substrate. During this

    etching process, we found that the polyimide layer around

    the vias was not easy to remove due to the small gap.

    This limited to achieving the thermal conductance value we

    (a)

    (b)

    Figure 3. (a) SEM image of an individual microbolometer device.The dimensions of the microbolometer pixels are shown in table 1.The microbolometer pixels are designed to be compatible with highfill-factor arrays, and shown in part (b), an optical image of a portionof a 4 4 high fill factor array.

    expected. This might be improved by adding a thick Ti

    metal layer before TCR layer deposition to increase the gap

    around the vias. This would enhance the detectivity to

    its theoretical values by achieving a good thermal isolation

    of the devices. A completed pixel and a 4 4 test

    array with a fill factor of 91% are shown in figures 3(a)

    and (b), respectively. Typical device characteristics are given

    in table 1.

    4. Measurement

    The thermal conductances of the devices were measured

    under vacuum (

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    Design and characterization of adaptive microbolometers

    Table 1. Measured and calculated parameters for the microbolometer.

    Parameter Value

    Size of pixel plate 100 m 100 m

    Thickness of pixel plate Top plate (PECVD nitride): 0.2mTCR layer (titanium): 0.1 mBottom plate (PECVD nitride): 0.2 m

    Length of support beam 277 mWidth of support beam 6 mThickness of support beam 0.5 mAir gap spacing Plate to support beam: 1.5 m

    Support beam to substrate: 1.5 m

    Thermal coefficient of resistance 0.2% K1 (Titanium)Thermal conductivity of PECVD nitride 0.0380.051 W cm1 K1

    Density of PECVD nitride 2.22 g cm3

    Specific heat of PECVD nitride 1.311.73 J g1 K1

    Heat capacity of device 2.55 108 J K1

    Thermal time constant 1.5 ms

    Signal

    Analyzer ConstantCurrentSource+ -

    FunctionGenerator

    DC PowerSupply

    Laser Diode

    with moduleLenses Beam Splitter

    AdaptiveBolometer

    Pinhole Aperture

    VacuumChamber

    Si Photodetector

    Ref.

    Preamplifier

    Lock-inAmplifier

    Figure 4. Experimental setup for the measurement of responsivityand detectivity.

    the photodetector where a pinhole aperture of similar size to

    the pixel under test was placed in front of it. The device was

    biased with a current of 100A using a constant current source

    to read an output voltage of the device. The microbolometer

    output voltage was amplified using a PARC113 preamplifier

    and then fed into the lock-in amplifier. For the calculation of

    the detectivity, the voltage noise in the frequency of interest

    was measured using an HP35660A dynamic signal analyzer.

    5. Results and discussion

    5.1. Tunable thermal conductance

    As mentioned in the previous section, a thermal conductance

    of a typical device was extracted from the plot of 1/R versus

    I2 as shown in figure 5. In an unactuated state, a typical device

    gives a thermal conductance, G = 1.68 105 W K1. This

    is much lower value than the designed thermal conductance of

    7 107 W K1 in its unactuated state. There are two possible

    reasons for this. First the vacuum level in our apparatus was

    only able to go to 10 mTorr, which places it in the transition

    zone between air and solid-state limited conduction. It is

    0.0 2.0x10-6 4.0x10-6 6.0x10-6 8.0x10-6

    8.4x10-3

    8.6x10-3

    8.8x10-3

    9.0x10-3

    9.2x10-3

    9.4x10-3

    G = 2.99x10-4 W/K

    G = 1.68x10-5 W/K

    Vact = 0V

    Vact = 17V

    1/R

    I2

    Figure 5. A plot of the inverse resistance versus current squared fora microbolometer in its unactuated (Vact = 0 V) and soft actuation(Vact = 17 V) states.

    further suspected that the top layer of polyimide between the

    plate and the support beam was not fully removed during

    etch release. With an actuation voltage of 17 V, the thermal

    conductance of the device changes to G = 2.99 104 W

    K1. This shows that the thermal conductance of a typical

    device is changed by about 1.25 orders of magnitude. Full

    device snap down of the support beams would have increased

    the detectivity tuning, but in usestiction would have been seen.

    The snap down and restoration of the support beam happens at

    the moment of turn-on/off of power supply, but the numerical

    value for the actuation time was not measured. Given the sizeof the device, the mechanical resonance is expected to be the

    order of 10 kHz, making a transition time of the order of 1 ms

    or less.

    5.2. Tunable responsivity

    The responsivity of the same device from figure 3(a) is shown

    in figure 6. The responsivity varies by over an order of

    magnitude from 1.5 V W1 to 0.2 V W1 (the absolute values

    are low, but explained by the artificially low responsivity

    described previously), when the support beam of the device

    snaps down at a voltage of 17 V. In commercial devices, one

    would likely use vanadium oxide instead of Ti because of its

    higher TCR and place a special absorption layer rather than

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    W-B Song and J J Talghader

    10 100 100010-2

    10-1

    100

    Vact = 0V

    Vact = 17V

    Responsivity(V/W)

    Frequency (Hz)

    Figure 6. Responsivity versus frequency for an adaptiveresponsivity microbolometer. The response varies by over an orderof magnitude when the lowest device support is snapped downat 17 V.

    counting on the intrinsic absorption of titanium and PECVD

    nitride at = 658 nm. These factors represent limitations of

    our available fabrication processes rather than the architectureitself. In figure 3(a), the reponsivities of the device taken at

    frequencies below 10 Hz arenot plotted because of high scatter

    and too high 1/fnoise.

    5.3. Detectivity characterization

    Once the responsivity had been measured, the noise spectrum

    of the devices was obtained directly from the signal analyzer

    and used to extract the detectivity as described in (3).

    Figure 7 shows the detectivity versus frequency of the same

    device as in figure 3(a). The detectivity varies more than an

    order of magnitudebetween 1.8106 cmHz1/2 W1 and1.5105 cm Hz1/2 W1, at 0 V actuation and 17 V actuation,

    respectively. As mentioned above, the detectivities below

    10 Hz were not plotted because of difficulties in measuring

    1/f noise at extremely low sampling rates, which made the

    uncertainty in the detectivity values very large. This problem

    might be solved by replacing the Ti TCR material with VOx,

    because VOx gives a relatively low 1/fnoise characteristic at

    low frequency range [6] as well as a high TCR of3.0% K1

    at room temperature [2]. In this measurement, Johnson noise

    was around 120 nV Hz1/2, which is somewhat higher than

    in typical microbolometers. This noise will be reduced in the

    future with a high TCR element and a low-noise resistor for

    electrical read-out.

    Lastly, the NEPs of adaptive microbolometers have been

    measured versus frequency in high and low sensitivity states

    with a bias current of 100 A as shown in figure 8. The lowest

    NEP of 5.6 108 W Hz1/2 was obtained in an unactuated

    state. This is higher than in commercial microbolometers,

    but reasonable for the responsivity and TCR material of

    our devices. At higher frequencies, NEPs for both states

    converge.

    The devices described are the first microbolometers

    made with a fully adaptable detectivity, but they have a

    relatively low performance relative to commercial devices.

    In particular, the device was designed to have a much

    lower thermal conductance of 7 107 W K1 than

    measured in its unactuated state. This would directly

    translate to another 1.2 orders of magnitude improvement

    10 100 1000

    104

    105

    106

    Vact = 0V

    Vact = 17V

    Detectiv

    ity(cmHz1/2/W)

    Frequency (Hz)

    Figure 7. Detectivity versus frequency for a typical device. Thedetectivity is in a high state at 0 V actuation and a low state at 17 Vactuation.

    10 100 1000

    10-7

    10-6

    Vact = 0 V

    Vact = 17 V

    NEP(W/Hz

    1/2)

    Frequency (Hz)

    Figure 8. Noise equivalent power (NEP) versus frequency for atypical device. The lowest NEP is obtained in a high state at 0 Vactuation.

    10 20 30 40 50 60 70 80200

    205

    210

    215

    220

    225

    230TCR of Ti = 0.21% K-1

    Resistance(ohm)

    Temperature (C)

    Figure 9. Resistance versus temperature measured by point probefor titanium. Measured TCR of Ti is 0.21% K1. For TCRmeasurement, the temperature was scanned from 26 C to 70 C.

    in responsivity and detectivity. In particular, it is suspected

    that the top layer of polyimide between the plate and

    the support beam was not fully removed during etch

    release. This will be corrected in future processing. In

    addition, the performance could be further improved by

    using vanadium oxide instead of titanium as the TCR layer.

    Commercial VOx has a TCR that is approximately 2%

    K1 compared to a TCR for Ti of approximately 0.2% K1

    as shown in figure 9. VOx also has a very low 1/f noise.

    With these changes, the architecture presented here could

    provide commercial thermal imaging performance with full

    intensity adaptivity, extending the dynamic range of present-

    day microbolometers by at least an order of magnitude.

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    6. Conclusions

    Adaptive microbolometers in which thermal conductance,

    responsivity and detectivity are electronically controlled have

    been made. These bolometers have been designed to have

    extended dynamic range to handle both very hot and cool

    areas within the same image. For characterization of the

    devices, the thermal conductance, responsivity, detectivity and

    NEP have been measured versus frequency in high and low

    sensitivity states. The high sensitivity state corresponded to

    normal microbolometer operation. In the low sensitivity state,

    a portion of the support beam was actuated to be partially in

    contact with the substrate and thereby increased the thermal

    conductivity and reduced the detectivity. We reported that

    the thermal conductance of a typical device could be changed

    by 1.25 orders of magnitude, the responsivity by one order

    of magnitude and the detectivity by 1.2 orders of magnitude

    with the minimum NEP of 5.6 108 W Hz1/2 in the high

    sensitivity state.

    Acknowledgments

    This work was supported by Defense Advanced Research

    Project Agency under grant no. F33615-00-1-1625 and by the

    Army Research Office under grant no. DAAD19-03-1-0343.

    The authors would like to thank the staff at Nanofabrication

    center at the University of Minnesota.

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