Abstract
This paper presents a new method to suppress the electromagnetic radiation between the heatsink and packaging substrate in the system-in-package by using a resistance film absorber. The proposed absorber is designed with the indium tin oxide sputtered on both sides of the glass substrate, and the top layer adopts the combination of Jerusalem cross-shaped, ring-shaped, and L-shaped resistive film to expand the bandwidth. The unit size of the absorber is and the thickness is 0.049 . It has an absorptivity of more than 90% in the frequency range of 21 GHz to 55 GHz with polarization insensitivity, and angular stability. Moreover, the radiated electric field from the chip package at 3 m is significantly reduced when employing the proposed absorber, and the maximum suppression of the electric field reaches 18 dB. Finally, the measurement results are carried out to verify the simulation results. Both simulation and experiment results demonstrate that the proposed absorber has excellent radiation suppression, which can be properly applied to electromagnetic interference suppression of the printed circuit board.
1. Introduction
With the continuous improvement of the operating frequency and integration density of RF chips, electromagnetic interference and heat dissipation gradually become a great challenge for electronic devices [1]. The heatsink is usually mounted on packages to dissipate heat from ICs to free space [2]. As the package lid and heatsink are close to the surface of ICs, part of the noise will be coupled to the package lid and heatsink through the electric field. Since a resonant cavity is formed between the ground plane and heatsink, the electromagnetic wave is reflected back and forth between the two metal planes, resulting in a substantial enhancement of electromagnetic radiation [3]. There are gaps between the package lid/heatsink and the chip package substrate to provide sufficient space for the cables and components in the circuit system, which makes radiation leak out through these gaps, and results in radiation exceedance [4].
The grounding post is used to solve the problems caused by the package lid and heatsink. Due to the parasitic effect of grounding posts, this method only works well at low frequency and has no obvious suppression at high frequency, which is also constrained by high-density layout [5]. The radiation-suppression methods also include the use of absorbing material, which is coated on the surface of signal alignments or placed around the package substrate [6]. However, the absorbing properties are affected by temperature, and poor thermal conductivity of absorbing material results in ineffective heat exchange with the external environment [7]. The application of electromagnetic band-gap (EBG) structures for EMI suppression has also received high attention, which is a breakthrough technique to achieving broadband and high isolation noise suppression [8]. The EBG structure maintains the integrity of the power supply and ground planes, but the size is too large when applied to the high-density-layout space between the heatsink and the package substrate [9].
Metamaterial absorbers provide solutions to the aforementioned problems. Compared with traditional absorbing technology, metamaterial absorbers have the advantages of simple structure, lightweight, and high absorptivity [10, 11], which become an important research direction of electromagnetic absorbing, but the traditional absorbers based on the resonant of metal structures have a less-stable equivalent impedance, and at deviations from the resonant frequency, the surface input impedance of the absorber is poorly matched to the impedance of free space, and the effective absorption bandwidth is too narrow to be suitable for engineering applications [12]. The high surface resistance film pattern not only has electromagnetic filtering characteristics but also has a more stable surface impedance, the absorption characteristics of the metamaterial absorber can be further improved by rational designing the resistive film structure to achieve effective adjustment of the resonance characteristics [13].
In this paper, a miniaturized resistive film absorber is presented. The top layer uses a Jerusalem cross-shaped, ring-shaped, and L-shaped structure to enhance the coupling, resulting in the absorber having an absorptivity of more than 90% in the frequency range of 21 GHz to 55 GHz. The electric field and surface current distribution are analyzed, and the operating mechanism is explored by combining the equivalent medium theory and equivalent circuit analysis, and the absorption performance is verified experimentally. The proposed absorber has a high electromagnetic absorptivity, which can significantly reduce the electromagnetic radiation from the IC packages system.
2. Radiation Analysis of IC Packages
2.1. IC Packages Structure
In order to effectively suppress the radiation emission caused by IC packages and heatsinks, it is necessary to analyze the radiation mechanism. The practical flip-chip package consists of multiple power, ground planes, and high-density layout, so the packaging structure is very complex and difficult to analyze accurately in theory. In this paper, a part of the package model is utilized to analyze the radiated emission effects of the heatsink.
As shown in Figure 1, the simplified package system model consists of flip-chip, heatsink, and PCB. To reduce the thermal resistance between the heatsink and the chip, a highly thermal conductive pad is used between the two components to make heat dissipation in the package easier. The size of the thermal conductive pad is 9.7 mm × 11 mm × 0.95 mm, and the size of the PCB is 10 cm × 10 cm × 1.6 mm. The horizontal dimension of heatsink is 3.3 cm × 3.3 cm, the bottom metal thickness is 3 mm, and the space between the top of the PCB and the bottom of the heatsink is 1.6 mm. The dimension of fins are as follows: the height is 7.5 mm, the thickness is 3 mm, the width is 1 mm, the spacing is 1.6 mm, and the fins number is 121. In this paper, the simulation and experiment are implemented when set aggregated port 1 and port 2 for both arms of the LC tank inside the DIE, as shown in Figure 2, and we set the excitation current to 200 mA in CST.

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2.2. Radiation of Heatsink
For the system consisting of IC package, PCB, and heatsink, the IC inside the chip is the noise source. The heatsink and PCB on the power/ground plane constitute an effective radiation antenna. The noise source coupled to free space by radiation field, resulting in EMI radiation exceeding the standard. The radiation from the heatsink can be regarded as two parts: the cavity radiation component is dominant in short heatsink fins with large cross-sections, and the monopole component is dominant when the heatsink fins are relatively long [14].
We simulated the 3 m electric field with and without a heatsink, respectively. As shown in Figure 3, the effect of with or without heatsink fins on the far-field results has less impact, which means the cavity radiation component plays a dominant role in the radiation. In the follow-up study, the heatsink is modeled as a metal block to save simulation resources.

3. Structural Design and Numerical Simulation
3.1. The Design Theory
Traditionally, according to the law of energy conservation, when the electromagnetic wave is incident on the surface of the absorber structure, the energy is divided into three parts, including transmitted energy T(ω), reflected energy R(ω), and absorbed energy A(ω) [2]. The absorbed energy can be described aswhere R(ω) = |S11|2 and T(ω) = |S21|2. The backboard of the absorber is completely covered by metal, making incident wave unable to transmit, the transmission coefficient S21 = 0, confirming that the absorbed energy can be expressed as
The reflection coefficient S11 determines the absorption performance of the structure. When S11 = 0, the model can achieve the complete absorption in the corresponding band.
3.2. Design of the Proposed Absorber Structure
The absorber designed in this paper is composed of a resistive film periodic array on the top, a dielectric substrate in the middle, and a grounding layer at the bottom. The unit cell structure is shown in Figure 4, the top layer is the indium tin oxide (ITO) resonant structure sputtered on the glass substrate, and the dielectric constant of substrate is 6, the bottom layer is a continuous ITO grounding layer sputtered onto the other surface of the glass substrate, with a square resistance value of 5 Ω/sq, which provides a zero transmission (S21), the whole absorber forms an ITO-glass-ITO Sandwich structure. To achieve broadband absorption, the design of the absorber is mainly focused on the top patch, the ITO on the top layer has a resistance of 250 Ω/sq, the pattern is designed as a Jerusalem cross shape combined with a square ring, and four L-shaped structures are added at each corner to enhance the coupling between adjacent cells, and the values of the geometric parameters of each part are shown in Table 1.

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3.3. Numerical Simulation
The proposed structure is modeled and simulated by a frequency domain solver based on CST. We set the unit cell boundary in the x-y plane and excitation ports in the wave propagation direction z to simulate uniform plane wave incident on the designed structure, and the boundary along the z-direction is set to open (add space). As the preparation environment and chemical ratios of ITO will directly affect its dielectric coefficient, permeability, and loss angle tangent, the ITO material is set as the impedance boundary, the resistance is set as the magnitude of the surface resistance value, and the reactance is set as 0.
The obtained copolarized and cross-polarized reflection coefficient S11 (left column) are shown in Figure 5. We found that the cross-polarized reflection coefficient is less than −80 dB and the copolarized reflection coefficient is less than −10 dB in the range from 21.0 GHz to 55.0 GHz. Therefore, when a plane wave with horizontal (or vertical) polarization is incident into the absorber structure, less of the incident wave undergoes polarization conversion, whereas most of the incident wave is absorbed. We calculate the absorptivity by equation (2), as shown in Figure 5 (right column), ultra-broadband absorption is achieved in the frequency from 21.0 GHz to 55.0 GHz, with an absorptivity greater than 90%, and a relative absorption bandwidth reaches 89.5%.

To verify the stability of the polarization angle of the resistive film absorber, the polarization angle φ is changed to observe the absorptivity under different polarization modes, as shown in Figure 6. The absorption distribution under different polarizations is the same when the polarization angle is changed, which is determined by the symmetry of the proposed structure.

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The angular stability of the absorbing structure is required because of the complex variety of radiation sources, and the miniaturized design is more conducive to the angular stability of the absorber. The polarization direction and the incident angle are illustrated in Figure 7(a). Figures 7(b) and 7(c) show the effect of the absorptivity of TM and TE polarizations when the incidence angle θ is increased from 0° to 60°. For the TE polarization, when the incidence angle increases from 0° to 45°, the absorptivity remains above 90% between 21 GHz and 55 GHz. When the incidence angle θ is 60°, the absorptivity decreases but remains above 70% between the aforementioned frequency band. When the incidence angle is changed in TM polarization, and the absorptivity remains above 85% between 15 GHz and 55 GHz when the incidence angle is 60°. Angular stability of TM polarization is better than TE polarization.

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4. Analysis of the Absorption Mechanism
Two conditions must be met to achieve the perfect absorption. The first condition is the maximum amount of incident wave into the absorber to reduce the reflection of incident wave, and match the impedance between the absorber and the free space in the widest frequency range. The second condition is that the absorber can produce effective loss, converting electromagnetic wave energy into heat or other forms of energy.
4.1. Impedance Matching
To verify that the designed structure achieves impedance matching, the equivalent medium theory is used to equate the absorber to a homogeneous medium, and its corresponding equivalent impedance is calculated by the S parameter inversion method.
When a uniform plane wave is incident perpendicular to an infinite medium plate of thickness d [15], the reflection and transmission coefficients arewhere is the transmission coefficient and r is the reflection coefficient, and k denotes the free space propagation constant. Equations (3) and (4) can be organized as
Equation (5) is the relative impedance of the proposed structure, as is shown in Figure 8, which is obtained by substituting the scattering coefficient obtained from the simulation into equation (5). In the frequency range of 21 GHz to 55 GHz, the real and imaginary parts of input impedance are approximately 1 and 0 respectively, which indicates that the designed structure achieves impedance matching with the free space.

4.2. Mechanism of Absorption
To study the absorption mechanism, the distribution of electric field and surface current is investigated at the frequency of the absorption peak. Figure 9(a) and 9(b) shows the surface current distribution of the top and bottom layers at 39 GHz, respectively. The electromagnetic wave generates a strong charge buildup on the surface of the ITO film; the induced surface current is mainly concentrated at the middle of the square ring and the L-shaped arms. The ITO film interacts with the bottom layer to form an antiparallel current, while the displacement current is generated in the substrate. The induced current and displacement current eventually form circulating current loops and generate magnetic resonance to manipulate the relative permeability.

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Figure 9(c) shows the z-component of E-field distributions at the resonant frequency, the electric field is bound between the L-shaped and ring-shaped, where a strong capacitive coupling exists and the resulting electric resonance can effectively control the dielectric constant.
In Figure 9(d), the energy loss distribution for the proposed absorber surface is similar to the electric field distribution, which means that the polarization of ITO and glass substrate occurs under the action of the induced electric field, and the electric dipole in the substrate will be arranged in the same direction as the electric field, the electric dipole in the rotation and friction of the polarization process will convert microwave energy to heat.
Electromagnetic loss capability can be characterized by the loss tangent ; the larger the loss tangent, the better the absorption performance. The electric loss tangent is , the magnetic loss tangent is , where represents the ability to store electric charge, and the represents the ability to lose energy. denotes the magnetic energy density stored in the absorber, and denotes the magnetic loss capability. Therefore, increasing the imaginary part of the equivalent dielectric constant and permeability or decreasing their real part will increase the loss factor. The equivalent dielectric constant εeff and permeability μeff are calculated using equations (6) and (7), respectively [16].where h denotes the thickness of the substrate and k0 denotes the free space wave number. The real part of the equivalent dielectric constant and permeability got by equations (6) and (7) are shown in Figure 10(a). We can see that the real part of εeff and μeff are closer in the range of the absorption band, which proves the absorber structure and the free space achieve impedance matching. The imaginary part of εeff and μeff in Figure 10(b) shows that the loss is larger in the range of the absorption band.

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For conventional single-structure metamaterial absorbers, the strong absorption mainly results from strong electrical and magnetic resonance, which induces ohmic loss and dielectric loss [13]. To explore the cause of energy loss, the absorptivity of the dielectric substrate with and without loss, and the absorptivity of the top layer loaded with resistive film or PEC is compared. As shown in Figure 11(a), the trend of the absorption curves is the same when the dielectric substrate is with and without loss, which means that the designed resistive film absorber has a small dielectric loss. Figure 11(b) compares the absorptivity when the top layer is ITO film or PEC. When the substrate with PEC, the absorptivity in the range of 15 GHz to 55 GHz is less than 30%, whereas the ITO film shows strongly absorbing, so the proposed structure achieves perfect absorption mainly through ohmic loss.

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4.3. Equivalent Circuit Analysis
The transmission characteristics of the resistive film absorber are described by the impedance of the equivalent circuit model, as shown in Figure 12. When the electromagnetic wave is incident vertically, the input impedance of the grounded dielectric plate is equivalent to an inductance, and the expression is

where Z0 is the free-space characteristic impedance, is the dielectric constant of the substrate, k0 is the free-space propagation constant, and h is the thickness of the dielectric substrate. The real and imaginary parts of the input impedance are expressed as
If the substrate is thick enough (h > 0.3p), for a lossy dielectric substrate, the loaded capacitance reads
Since the imaginary part of the capacitance in the lossy substrate brings a resistive component, this capacitance is divided into two parts: a resistive Rh and a lossless capacitance.
Due to the presence of ohmic loss, a series resistor Ro is added to the aforementioned circuit, it can be described as
Figure 11(a) shows that the absorptivity of the structure is almost unchanged for the case of a lossless substrate, , then the real part of the absorber input impedance can be expressed aswhere ω0 is the first resonant frequency, equation (13) shows that the parameters affecting the input impedance of the absorber include the thickness of the substrate, the dielectric constant, capacitance C, and ITO square resistance RS. The influence of these parameters on the absorption mechanism will be discussed in detail below.
4.3.1. Substrate Thickness
The reflection coefficient of the structure at three different substrate thicknesses and the input impedance of the absorber is given in Figure 13. We can see that the input impedance corresponding to the resonant frequency is equal to the free-space impedance (377 Ω), and as the thickness increases, the resonance moves to a lower frequency due to the increase in substrate inductance. And an almost perfect match is achieved when the substrate thickness is 0.7 mm, while lower and thicker substrates lead to a mismatch.

4.3.2. Dielectric Constant
In Figure 14, the reflection coefficient and input impedance of the absorber structure are reported at three different dielectric constants. With the increase of dielectric constant, the resonant frequency moved to a lower frequency, so the absorption frequency can be adjusted by changing the dielectric constant of the substrate.

4.3.3. Unit Cell Shape
The design of the top layer is a key task in achieving an ultra-wideband metamaterial absorber. Keeping the substrate thickness fixed, the patch components require higher dielectric loss than cross-array components [17]. The reason for this behavior is that the higher field strength is coupled out on the cross-array or square ring. Based on the aforementioned conclusions, we take the cross-shape as base structure, and the loss tangent angle of the substrate is set to 0. As shown in Figure 15, the highest absorptivity is below 80% when only the cross-shaped element is analyzed. To further enhance the coupling of the top layer, we added a ring-shaped outside the cross-shaped, the absorptivity increases significantly. Moreover, to enhance the coupling between adjacent unit cells, L-shaped structures are designed at four corners, the electric field coupling between the L-shaped and ring-shaped structures results in a significant improvement in absorption.

4.3.4. ITO Square Resistance
Our analysis of the working mechanism in section 4.2 shows that the energy loss is mainly concentrated on the ITO film. To enhance the absorption characteristics of the structure, it is necessary to design a reasonable resistance value. The absorption response of the proposed structure to different ITO surface resistance values is studied, as shown in Figure 16, when the top square resistance is 250 Ω/sq, the corresponding curve has a wider working band, where the absorber achieves the best absorption effect.

4.4. Multireflection Interference Theory
We introduce the interference theory to analyze the broadband absorption mechanism. Figure 17 shows the multiple interference theory model for vertical and oblique incidence, dividing the free space and the absorber into two areas and two layers. We assume that r11 is the reflection coefficient of pattern layer from area 1 to area 2, r21 is the transmission coefficient of pattern layer from area 1 to area 2, r12 is the transmission coefficient of pattern layer from area 2 to area 1, and r22 is the reflection coefficient of pattern layer from area 2 to area 2, which are described as

The total reflected wave of pattern layer returning from area 1 to area 1 due to the presence of the ground plane iswhere β = kd is the propagation phase, d is the propagation distance from pattern layer to the ground plane, , h is the vertical distance from pattern layer to the ground plane, ε1 and ε2 are the dielectric constants of areas 1 and 2, respectively, and α is the angle between the incident wave and the pattern layer. The electromagnetic wave to the bottom layer undergoes total reflection with a phase change of 180°, r23 = −1. Therefore, to achieve perfect absorption in the case of vertical and oblique incidence, the conditions to be met are
The scattering parameters obtained from the simulation are extracted and plotted as the curves shown in Figure 18. It can be seen that the amplitude difference is close to 0 for the full-band, and the phase difference is close to 0° at the resonant frequency, so the phase and amplitude conditions are satisfied.

5. Experimental Verification and Discussion
5.1. Preparation of Resistive Film Absorber Sample
To verify the simulation results of the resistive film absorber, the ITO film was prepared by the magnetron sputtering deposition method, as shown in Figure 19. The substrate plate to be coated is the cathode, and the ITO target (anode) is below the dark chamber. There are orthogonal electric and magnetic fields that exist between the cathode and anode. The electric field causes the inert gas at the bottom right to divide into positive ions and electrons. The ions within the inert gas bombard the ITO target surface under the action of Lorentz force, and the sputtered atoms toward the substrate to form the film.

The ITO is patterned using laser etching, and the material properties of the glass make it more durable for laser ablation. Figure 20 shows the laser etching process with an accuracy of 0.05 mm. The minimum gap of the proposed structure is 0.1 mm, and the accuracy meets the demand.

5.2. Measurement and Discussion
We proceed to present experimental validations of the numerical results of section 3.3. The reflectivity of the sample was measured by the free-space method, as shown in Figure 21. To obtain plane wave excitation, the distance between the antennas and the sample should meet the far-field conditions aswhere is the wavelength of the incident wave and D is the length of the antenna diagonal.

At the same time, to eliminate as much as possible the effect of sample edge scattering on the reflection coefficient measurement accuracy, the size of the sample is 20 cm × 20 cm. The equipment required for the experiment are vector network analyzer and horn antennas; the range of measurement is limited by the upper frequency of vector network analyzer, so the maximum measurable frequency is 43 GHz. To eliminate reflection interference in the experimental environment, the reflection coefficient of a copper plate of the same size as the sample was first measured as a background value. Then, we maintained the same position, removed the copper plate, and measured the reflection coefficients of resistive film absorber again.
The orientations of both dual-ridge horn antennas were rotated by 0° and 90° to measure the reflection coefficient under TE and TM polarizations at vertical incidence. Figure 22(a) and 22(b) shows the results of S11 measurement, respectively. The resonance points appear at 38 GHz and 39.0 GHz, respectively, and the resonant frequency and absorption bandwidth are similar to the simulation results. The absorption curves at different frequencies are shown in Figure 23, which proves the high absorption in both polarization modes. The experimental results differ from the simulation results due to the influence of the processed sample. High square resistance ITO is thin and the power of laser etching is difficult to adjust, which can easily lead to inadequate etching or damage the integrity of the structure edges.

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The proposed resistive film absorber is compared with other miniaturized or broadband absorbers in Table 2, where the fractional bandwidth refers to the −10 dB absorption bandwidth. The effective absorption bandwidth of traditional absorbers based on resonant of metal structures is narrow. The bandwidth can be extended by the multilayer structure, but it is not suitable for miniaturized scenarios. Broadband and miniaturized designs can be achieved by loading resistor elements, but processing is costly and complicated. Therefore, the proposed absorber has advantages in terms of broadband, miniaturization, and fabrication process.
6. Application of Electromagnetic Interference Suppression
To verify the radiation-suppression effect of the proposed structure, the absorber and flip chip model are cosimulated using CST Microwave Studio. The resistive film absorber structure is arranged periodically between PCB and heatsink, which broke the resonance cavity and absorbed the radiation generated by the PCB. As shown in Figure 24, we arrange the designed resistive film absorber in the form of a 16 × 16 array under the heatsink. The distance between the heatsink and the PCB is 1.6 mm, so the absorber array is 0.9 mm from the PCB. To maintain the thermal performance of the system, the absorber structure in the middle was removed to leave space for the thermal conductivity pad.

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The suppression effect is verified by comparing the 3 m field radiation with and without loading the designed absorber. As shown in Figure 25, when the absorber is added at the bottom of the heatsink, the average attenuation of the radiation emission from 18 GHz to 47 GHz is 12.4 dB, and the best radiation-suppression effect is about 18 dB. Corresponding to the far-field results, Figure 26 shows the near-field electric field distribution at 39 GHz. In contrast, the radiation generated by the cavity resonance between the heatsink and PCB is significantly mitigated.


Since the square resistance value of ITO can only be maintained in a specific range, Figure 27 illustrates the far-field results for different square resistance values. When the square resistance is 200 or 300 Ω/sq, the far-field results increase in the high frequency, and the radiation-suppression effect decreases by 1.6 dB on average, but it is not affected at low frequency. The radiation-suppression effect of resistive film absorber is less affected by the square resistance of ITO, which means that the proposed absorber can be used to obtain significant radiation suppression in a high-speed chip packaging system.

7. Conclusion
In this paper, a miniaturized, polarization-insensitive resistive film absorber composed of Jerusalem cross-shaped, ring-shaped, and L-shaped structures is proposed. The proposed structure achieves perfect absorption in broadband from 21 GHz to 55 GHz. We analyze the absorption mechanism in terms of both impedance matching and the loss of incident wave. The measurement results verify the accuracy of theoretical derivation and full-wave simulation, and the cosimulation results verify the effective electromagnetic interference absorption and suppression capability of the proposed resistive film absorber, and the undesired radiation is suppressed by 18 dB, showing that the proposed absorber can apply to the radiation suppression of future miniaturized electronic devices.
Data Availability
The data used to support the findings of this study were supplied by Shuyun Huo under license and so cannot be made freely available. Requests for access to these data should be made to (Shuyun Huo, 201931903030@stu.hebut.edu.cn).
Conflicts of Interest
The authors declare that they have no conflicts of interest.
Acknowledgments
This work was supported by the Natural Science Foundation of China (grant no. 62071424), Zhejiang Provincial Natural Science Foundation of China (ZPNSFC) (grant no. LD21F010002), and Natural Science Foundation of China (grant no. 62027805).