Submitted:
02 August 2025
Posted:
05 August 2025
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Abstract
Keywords:
1. Introduction
1.1. Research Background and Significance
1.2. Overview of HIRF Airworthiness Regulations and Standards
1.3. Research Status
1.4. Current Challenges and Limitations in HIRF Research
2. Coupling Mechanisms and Theoretical Foundations
2.1. Coupling Paths of HIRF Interference

- Front-door coupling refers to the process in which HIRF energy enters the system through intentional paths such as antennas and cables. The incident electromagnetic wave induces unwanted currents and voltages on these media, which may suppress normal signals or even damage internal components.
- Back-door coupling, in contrast, occurs when HIRF penetrates through unintentional structural openings—such as seams, windows, vents, or doors—and generates internal electromagnetic fields within the aircraft. These internal fields then couple into sensitive electronics through similar mechanisms, potentially disrupting or degrading equipment performance [20].
- Below 1 MHz: Coupling effects are weak and typically negligible for most aircraft systems, requiring no special mitigation measures.
- 1 MHz to 400 MHz: In this range, aircraft wiring harnesses can act as efficient antennas, making front-door coupling the dominant pathway. Effective cable shielding is particularly critical in this frequency band.
- Above 400 MHz: Front-door coupling effects diminish, and HIRF energy more easily enters systems through structural discontinuities and enclosure apertures. In this high-frequency region, back-door coupling becomes the primary mechanism, and the design of enclosures and shielding becomes a key factor in preventing electromagnetic penetration [21].
2.2. Maxwell’s Equations
- denotes the electric field intensity (V/m2),
- denotes the current density (A/m2),
- denotes the magnetic field intensity (A/m),
- denotes the electric displacement vector (C/m2),
- denotes the electric charge density (C/m3),
- denotes the magnetic flux density (Wb/m2).
2.3. Electromagnetic Shielding Effectiveness
- Material properties: The primary factors affecting shielding effectiveness are the electrical conductivity and magnetic permeability of the material. Both conductivity and permeability have a positive correlation with shielding effectiveness.
- Shielding structure: The structure of the shield, including its thickness, seams and openings, and other structural characteristics, significantly impacts shielding effectiveness. Generally, a thicker shield offers higher effectiveness. Electromagnetic waves can penetrate through seams and openings, reducing the overall shielding performance. Moreover, certain structural features can induce resonances at specific frequencies, causing significant degradation of shielding effectiveness.
- Frequency range: Shielding effectiveness varies with frequency. Between 1 MHz and 400 MHz, cables themselves can act as strong antennas, causing considerable coupling effects. At frequencies above 400 MHz, high-frequency electromagnetic waves are more readily absorbed and reflected by metals and composite materials. Typically, multilayer shielding materials are required to effectively block these waves.
2.4. Resonance Phenomenon
2.5. Software Selection
3. Simulation Model Construction
3.1. Modeling of the Onboard GNSS Receiver


3.2. Simulation Environment Setup


3.3 Monitor and Probe Configuration

4. Simulation and Results Analysis
4.1. Surface Current Distribution
4.2. Effect of Polarization Modes

- In the 1–3 GHz range, the shielding effectiveness remains between 20 and 35 dB for both polarizations, with minimal difference between the two.
- From 3 to 6 GHz, resonant effects begin to emerge under horizontal polarization, notably near 3.6 GHz and 5.7 GHz, where strong coupling between the polarized waves and the enclosure's gaps and openings causes shielding effectiveness to drop sharply below –10 dB. In contrast, vertical polarization maintains a shielding effectiveness of around 30 dB in the same frequency range.
- Within the 6–10 GHz band, the shielding performance under vertical polarization gradually declines, while horizontal polarization briefly recovers but then again exhibits resonance near 8 GHz, causing SE to fall below –10 dB.
- Above 10 GHz, both polarization modes experience strong resonance-induced fluctuations, resulting in a significant drop in shielding effectiveness.
4.3. Effect of Incidence Angle




4.4. Effect of Incident Surface




4.5. Effect of Material Properties
| Material | (s/m) | ||
|---|---|---|---|
| Perfect Electric Conductor (PEC) | 1 | 1 | ∞ |
| Iron | 1 | 5000 | 1e6 |
| Aluminum | 1 | 1 | 3.5e7 |
| Copper | 1 | 1 | 5.8e7 |
| Carbon Fiber | 3 | 1 | 1e4 |
| Stainless Steel | 1 | 600 | 1e6 |



- Copper, aluminum, and the perfect electric conductor (PEC) exhibit very similar performance due to their high conductivity. Their SE curves largely overlap and show sharp dips near 3.6 GHz and 8 GHz, with minimum SE values dropping to approximately 15 dB, indicating severe resonance.
- Carbon fiber performs best in the low-frequency range (<3 GHz) but shows greater fluctuation overall. It displays slightly better SE than copper, aluminum, and PEC in resonance zones and in the high-frequency region (>10 GHz).
- Iron also exhibits resonances near 3.6 GHz and 8 GHz, but with less severe SE drops and smoother transitions, indicating greater stability. This stable performance extends into the high-frequency range as well
- Stainless steel performs slightly worse than carbon fiber below 3 GHz but lies between iron and other materials across most of the spectrum.
4.6. Effect of Aperture Shape


4.7. Effect of Aperture Size


- The 2 mm aperture exhibits excellent shielding performance across the entire frequency range, with SE consistently maintained between 60 and 75 dB, indicating strong electromagnetic protection.
- When the side length increases to 4.43 mm, the overall SE drops by approximately 20–30 dB, with localized dips observed at several frequencies.
- Further increasing the side length to 6 mm results in severe SE fluctuations, with the minimum dropping to around –10 dB and multiple strong resonances appearing.
4.8. Effect of Aperture Quantity


4.9. Effect of Aperture Spacing


- In the low-frequency range (below 8 GHz), configurations with closely spaced apertures exhibit better shielding effectiveness than those with wider spacing. The maximum SE difference exceeds 10 dB.
- In the mid- to high-frequency range (8–16 GHz), the configuration with wider aperture spacing performs better at several frequency points, suggesting improved suppression of localized resonances.
- At very high frequencies (e.g., around 16 GHz), the shielding effectiveness of both configurations begins to converge, and the influence of spacing becomes less pronounced.
5. Experimental Validation in a Microwave Anechoic Chamber
5.1. Experimental Procedure

- Pre-test verification.
- 2.
- Equipment setup.
- 3.
- Field strength definition and generation.
| Test Frequency Range (GHz) | CW Field Strength (V/m) |
|---|---|
| 0.1-0.2 | 100 |
| 0.2-0.4 | 100 |
| 0.4-0.7 | 50 |
| 0.7-1 | 100 |
| 1-2 | 200 |
| 2-4 | 200 |
| 4-6 | 200 |
| 6-8 | 200 |
| 8-12 | 300 |
| 12-18 | 200 |

- 4.
- GNSS receiver status monitoring.





- 5.
- Data logging and analysis
5.2. Analysis of Anechoic Chamber Test Results
6. Optimization Recommendations
6.1. Frequency Response Characteristics and Resonance Suppression
- Geometrical Adjustment: Modify the overall dimensions of the enclosure and openings to shift the structure’s natural resonant frequencies away from critical EMI bands.
- Absorptive Material Application: Apply ferrite coatings, conductive rubber, or other lossy materials near openings or regions with high surface current concentrations to suppress resonance.
- Gap Optimization: Improve electrical continuity at seams and joints using conductive gaskets, EMI shielding fabric, or seam-sealing techniques to prevent resonance-induced coupling.
6.2. Optimization of Aperture Design
- Aperture Size Control: Larger aperture dimensions significantly degrade shielding effectiveness, especially at higher frequencies. It is essential to strictly limit the maximum aperture size, particularly for functional openings such as ventilation holes and connector interfaces. To maintain both functionality and shielding, EMC design solutions—such as honeycomb waveguide windows or filtered connectors—are recommended.
- Aperture Shape Optimization: Prefer small-sized, circular, or rounded-corner apertures to avoid sharp-edge-induced electric field enhancement and current concentration, which increase the likelihood of resonance. Rounded geometries help minimize local field distortion and improve broadband SE stability.
- Aperture Quantity and Distribution Strategy: When openings are unavoidable, adopt a multi-aperture, small-size, and non-periodic distribution strategy. For devices requiring large-scale ventilation, replacing a single large opening with multiple small, dispersed apertures is more effective in avoiding strong coupling and resonant failures. Additionally, avoid uniform spacing between apertures, as periodic distributions may induce structural resonance, forming localized weak points in the shielding performance.
6.3. Material Selection and Electromagnetic Property Matching
6.4. Multi-Polarization and Multi-Directional Electromagnetic Protection Design
- Structural Layout Optimization: Adjust the position of key apertures, seams, and connections to avoid strong coupling with specific polarization directions. This reduces polarization-sensitive weak points and enhances generalized SE performance.
- Enhanced Multi-Angle Protection: Simulations reveal that variation in incident angle significantly affects SE in the mid-frequency band. Oblique incidence weakens the parallel electric field component, reducing aperture and seam coupling. Thus, the design should consider shielding uniformity under multiple incidence angles, rather than optimizing performance for only a single direction.
- Reinforcement of Critical Aperture Surfaces: For areas with concentrated apertures, apply composite shielding techniques—such as EMI conductive gaskets, elastic grounding connections, and absorptive coatings. Incorporating waveguide-beyond-cutoff or notch structures within the aperture can block high-frequency leakage paths and suppress resonance effects. Moreover, aperture distribution should be spatially uniform to ensure balanced shielding across all incident surfaces, preventing "weakest surface" vulnerabilities.
6.5. Shielding Effectiveness Optimization in High-Frequency Bands
- Optimized Material Selection: It is advisable to use composite materials that exhibit both high electrical conductivity and high magnetic permeability, or to apply ferromagnetic metals at critical locations. This dual-parameter approach enhances the suppression of both electric and magnetic field components, effectively reducing resonance sensitivity and improving SE stability at high frequencies.
- Integration of High-Frequency Notch Structures: Introduce frequency-selective structures (FSS)—such as embedded metallic grids or surface capacitive patches—inside the enclosure or at aperture sites. These microstructures are designed to produce frequency-selective attenuation, targeting high-frequency coupling paths for additional suppression.
- Control of Effective Gap Length: At high frequencies, even sub-millimeter-scale gaps can cause significant current localization and leakage due to resonance excitation. It is critical to enhance the electrical continuity across seams, refine edge transitions around apertures, and smooth abrupt structural changes to prevent field intensification and localized breakdown.
7. Conclusion
- Shielding effectiveness (SE) shows strong frequency dependence. Structural resonances significantly degrade SE in the 3–10 GHz range, while overall shielding performance deteriorates above 10 GHz due to reduced structural stability.
- Apertures and slots are the main coupling paths. Their shape, size, number, and distribution directly impact SE. High-permeability materials and alignment between polarization and aperture orientation also play critical roles in shielding performance.
- Anechoic chamber testing confirmed the simulation results, with signal loss observed at high-frequency resonance points, validating the identified electromagnetic vulnerabilities.
- Targeted engineering optimizations were proposed, including aperture minimization, rounded-edge slot design, composite material selection, inclined layouts, and multi-polarization/multi-directional shielding, offering practical guidance for improving EMC in airborne systems under HIRF conditions.
8. Outlook
- Extension to Higher Frequencies: The current work focused on the 1–18 GHz range. Future studies should explore shielding performance under millimeter-wave HIRF (above 18 GHz), which is particularly relevant for emerging communication and radar technologies.
- Enhanced Model Complexity: While the model was based on actual device structures, internal elements such as cables, connectors, and functional modules were simplified. Incorporating these features would improve simulation accuracy and realism.
- Advanced Testing Approaches: Validation was limited to static anechoic chamber tests. Future efforts should include dynamic test scenarios, such as reverberation chambers, pulsed HIRF injection, and high-power ground emitter simulations, to better reflect real-world conditions.
- Integration with Airworthiness Standards: The optimization strategies proposed in this study could be aligned with system-level standards, such as RTCA DO-160G, to form a unified electromagnetic protection design and assessment framework for airborne equipment.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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| Title 1 | Title 2 |
|---|---|
| 13.183(Horizontal) | Signal loss |
| 13.490(Vertical) | Signal loss |
| 14.125(Vertical) | Signal loss |
| 14.791(Horizontal) | Signal loss |
| Mitigation Technique | Target Frequency Range | Primary Objective |
|---|---|---|
| Modify enclosure proportions | Mid-frequency(3-10 GHz) | Avoid structural resonance |
| Apply absorbing materials | Mid/high frequency | Attenuate resonant coupling energy |
| Electrical continuity treatment | Full frequency range | Block current paths at discontinuities |
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