1. Introduction
Dry, packaged food usually requires an airtight package to maintain its quality and ensure food safety. For example, hermitically sealed bags are essential for dry snacks such as potato chips, corn chips, and various types of cereals to retain their crispness and safety. Leaks in the package or improper manufacturing conditions increase the moisture content of the food package, leading to the softening of food and reducing the taste quality, or worst, the growth of harmful microorganism. Today, food quality is generally determined by its potential shelf life [
1-
4], which allows the consumers to know when a product should be sold or used. When determining the shelf life of a product, producers take into account the three main types of food deteriorations: senescence (natural deterioration of harvested or slaughtered produce), microbial spoilage, and chemical deterioration [
5]. These types of deteriorations have various effects on food including food staleness and the growth of pathogens such as
E. coli. Depending on the fashions of food deterioration, various ways have been developed to preserve food freshness including storing at lower temperatures, using controlled atmospheric packaging, pasteurizing food before refrigeration, and increasing food acidity.
While it is simple to predict the quality of food with a standardized expiration date, shelf life does not take into account of food spoilage caused by damages on the food package. Hence, an ideal way to ensure food quality and safety is to evaluate the condition of the food prior to purchase or consumption. An example of after-packaged food quality monitoring technique is the temperature-time integrated device that determines the food shelf life by tracking the temperature variation experienced by the product [
6]. This device can improve the current shelf life labels by letting both consumers and producers know when the food package stays fresh and safe. However, this device does not actually measure the product itself and assumes the temperature measurements as an accurate indicator of product condition [
6].
A wireless, passive sensor is presented here for
in situ monitoring the taste quality of packaged dry food. The sensor, referred to as the LC sensor [
7-
11], consists of an interdigital capacitor (IDC) and a spiral inductor printed on a paper substrate (see
Fig. 1). The sensor's resonant frequency, which is remotely interrogated with a detection coil, depends on the capacitance and inductance of the sensor. Therefore, the LC sensor can be used to measure humidity level since water vapor increases the effective dielectric constant and conductivity of the paper substrate, which then changes the capacitance of the capacitor. The change in capacitance in turn shifts the sensor's resonant frequency. In this work, the application of LC sensor for monitoring the moisture content inside packaged cereals is demonstrated.
As illustrated in
Fig. 2, the sensor is attached to the inner wall of the food package for monitoring the moisture content inside the food package. The sensor's resonant frequency is determined by measuring the impedance of the detection coil with an impedance analyzer. To remove the inductance of the coil, a background subtraction routine, which measures the impedance of the coil when the sensor is absent, is implemented prior to measuring the sensor response [
7].
Fig. 3 shows the typical background-subtracted sensor impedance, where the resonant frequency
f0 is defined as the frequency at the maximum of the real impedance (resistance), and the zero-reactance frequency
fz is the frequency where the imaginary impedance (reactance) is at zero. To relate
f0 and
fz to sensor's inductor and capacitor, the sensor is represented with a serial connected capacitor
C and inductor
L as shown in
Fig. 4. The capacitor is also in parallel with a resistor
R to represent the capacitive loss.
Referring to
Fig. 4, the resonant frequency and zero-reactance frequency are related to the
R,
L and
C values as given by [
7]:
The capacitance of the IDC,
C, is dependent on its dimension given as [
9]:
where
lc is the length of the IDC fingers,
Nc is the number of fingers on each IDC's terminal,
ε0 is the free space permittivity,
εr is the relative permittivity (dielectric constant) of the paper substrate,
dc is the total spacing between two adjacent fingers,
ds is the spacing between two adjacent fingers that is not covered by the conductor, and
K is the complete elliptical integral of the first kind. Similarly, the inductance of the square spiral inductor,
L, is dependent on its dimension given as [
9]:
where
Ni is the number of turn, and
di and
do are the inner and outer widths of the inductor, respectively.
As elevated humidity level increases the moisture content in the paper substrate, it increases its effective dielectric constant since the dielectric constant of water is about 78 and dry paper is generally less than 2 [
12]. The increase in the effective dielectric constant of the substrate increases the capacitance of the IDC, leading to a reduction in the sensor's resonant frequency according to
Eq. (1). The electrically conductive water vapor also increases the capacitive loss of the capacitor, which leads to the reduction in
R. Since the inductance is constant throughout the experiment,
Eq. (1) indicates that the resonant frequency of the sensor is purely dependent on the capacitance, so it is used directly to track dielectric constant variation. Conversely, the zero-reactance frequency is a function of capacitance and resistance, which depend on both dielectric constant and conductivity of the substrate.
The advantages of using the LC sensor are its passive, wireless nature, and low production cost which allows it to be used on a disposable basis. As illustrated in
Fig. 2, the response of the LC sensor is remotely measured through a detection coil. In addition, the sensor is powered by the coil and does not require any internal batteries; thus there is no battery lifetime issue. The sensor is a simple resonant circuit consists of conductor lines printed on a paper substrate. The simplicity of the sensor design allows the sensor to be inexpensively fabricated and used on a disposable basis. The low sensor cost is critical to ensure commercial viability of this technology.
2. Experiments
The sensor consisted of three layers: the bottom conducting layer that contained both the inductor and capacitor, a top conducting layer that connected the capacitor and inductor, and an insulating layer that separated the top and bottom conducting layers. As shown in
Fig. 5, the LC resonant circuit was first printed on a paper-backed aluminum tape (10 μm thick) using a toner transfer paper. The exposed conductor was then etched with standard PCB enchanting solution (ferric chloride), followed by removing the printer toner with acetone. Although this conducting layer contained both the inductor and capacitor, the circuit was incomplete since only one of the terminals of both elements was connected. To complete the circuit, an insulating cellulose acetate layer of 50 μm thick was applied to isolate a portion of the inductor as shown in
Fig. 5. This was followed by placing a thin strip of copper tape (20 μm thick) over the insulating layer and connecting the remaining ends of the capacitor and inductor.
Using
Eq. (3), the capacitance of the sensor's IDC was calculated as 14.2 pF, which was closely compared to the measured capacitance of 15.7 pF (at 20% RH, 24 °C). Likewise, the inductance of the inductor was calculated using
Eq. (4) as 2.86 μH, a close comparison to the measured inductance of 2.7 μH. The parasitic capacitance of the inductor, which depended on the width of the inductor's lines and the spacing between the lines, could not be estimated analytically. In this work, the parasitic capacitance of the spiral inductor was measured as 1.6 pF at 20% RH and 1.8 pF at 60% RH. Since the parasitic capacitance of the inductor was an order of magnitude smaller than the IDC and its humidity-induced variation was two orders of magnitude smaller, it was considered negligible in the current study.
Fig. 6 depicts the experimental setup photographed in
Fig. 7. Two sensors were separately inserted inside two similar food packages. One of the packages was immediately resealed to use as a control sample, and the other sample was left opened. Both food packages were placed inside a test chamber with a humidity level of 40 % RH – 60 % RH at 24 °C to accelerate the food spoilage. The responses of these two sensors were remotely monitored through two detection coils (one turn, 12 cm in diameter) by measuring the impedance of the coils with an Agilent Network/Spectrum Analyzer 4396A. Prior to measuring the sensor response, the network analyzer was calibrated using an Agilent Calibration Kit 85033E. The data was recorded and processed with a PC, and the measurement process was automated with customized software programmed with Visual Basic 6.0. In this work, packaged Kellogg's Cocoa Krispies cereal and Kellogg's Frosted Flakes cereal were chosen as the test samples.
Fig. 8 shows the responses of the active and control sensors, which were embedded separately inside the opened and sealed Kellogg's Cocoa Krispies cereal packages. As shown in the figure, the response of the control sensor remained flat, while the resonant and zero-reactance frequencies of the active sensor had decreased. This indicated that the increase in capacitance was due to the water vapor adsorption on the paper substrate. The zero-reactance frequency was slightly lower, however, remaining close to the resonant frequency. This indicated that the absorption of water vapor to the sensor substrate increased the dielectric constant of the substrate but not the conductivity.
Fig. 8 shows the response of the sensors in Kellogg's Frosted Flakes cereal packages. Similar to the previous experiment, the active sensor showed a continuous decrease in resonant and zero-reactance frequencies, while the response of the control sensor remained stable with respect to time.
Fig. 10 depicts the change of the sensor's resonant frequency as a function of relative humidity level at 24 °C. As illustrated in the figure, the resonant frequency decreased from 24.35 MHz to 23.8 MHz from 2 % RH to 44 % RH. The reversibility of the sensor is illustrated in
Fig. 10. As shown in the figure, the sensor was completely reversible between the dry and wet cycles. The response time from wet-to-dry cycle of 3 hours was longer than that of dry-to-wet cycle of 1 hour. This can be explained by the fact that it took longer time for water vapor to evaporate than to absorb on a surface.
The purpose of this paper is to demonstrate the application of the LC sensor technology for food quality monitoring. Therefore, the operating frequency of the sensor, which was set as 23 MHz - 25 MHz following the designs of our previous work [
7-
11], might not match the allocated ISM frequency band for practical use. To commercialize this technology, the resonant frequency of the device has to be altered. A suitable frequency range may be between 30 MHz to 36 MHz, which is currently allocated for mobile remote control. The sensor's resonant frequency can be easily altered by changing the dimension and design of the spiral inductor and IDC as indicated in
Eq. (3) and
(4).
In this work, the sensor was interrogated with a network analyzer. For practical use, the sensor should be detected via a portable device as illustrated in
Fig. 2. The device has to be calibrated prior to each measurement to ensure measurement accuracy.