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On the Radar Absorbing Material Reflectivity and Electromagnetic Interference Shielding Effectiveness

Received: 21 September 2026     Accepted: 4 October 2026     Published: 11 November 2026
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Abstract

The goal of this work is to examine radar absorbing material (RAM); which -in the simplest case- is composed of a single metal-packed coating layer, reflectivity (R) through a frequency (f) range from 0.5 GHz to 40 GHz; this range covers applications of long-range radar, missile detection, surface target tracking, and airborne precision ground radars. Variation of nonmagnetic, homogeneous, and non-dispersive RAM R is reformed to facilitate calculations. Effect of dielectric parameters; permittivity and permeability (ϵ and μ) on R for one layer-metal-packed RAM with two different thicknesses (they influence the electromagnetic wave absorption due to attenuation and matching models) are given. Electromagnetic interference shielding effectiveness (EMISE) which characterises the behaviour of a material depends on material conductivity (σ), relative permittivity (ϵ_r) and relative permeability (μ_r). reflection loss (R), absorption loss (A), and internal loss (M) for one and two layers located between two semi-infinite free space media are derived. Attenuation (α) variations with f, ϵ, μ, and layer thickness for single and double layers are examined. Results indicate that most waves are reflected from inside interfaces of RAM also high conductivity, high permeability, and increasing thickness are necessary to configure good absorbent. Calculations and graphs are carried on using MATLAB R2013a.

Published in American Journal of Electromagnetics and Applications (Volume 14, Issue 1)
DOI 10.11648/j.ajea.20261401.12
Page(s) 17-23
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2026. Published by Science Publishing Group

Keywords

Radar Absorbing Material, Electromagnetic Shield, Attenuation, Loss

1. Introduction
A great challenge is to force targets to be invisible to enemy radars, this can be achieved by reducing radar cross section (RCS), four techniques can reduce RCS are shaping, RAM, passive cancellation, and active cancellation .
The simplest RAM structure composed of a single metal-packed coating layer (Figure 1), to enhance minimum reflectivity, the effects of all loss mechanisms can be lumped by refractive index or permittivity ϵ and permeability μ of the material, all of them can be complex . RAM converts radar wave energy into heat causing loss and/or scattering it back to free space . To achieve considerable attenuation of radar waves, ϵ and μ must be large which is tempered with the fact that large values of ϵ and μ would result in a large reflection coefficient . RAM thickness influences the electromagnetic wave absorption due to attenuation and matching models .
The present work selects the operating frequency band to cover applications of long-range radar, missile detection, surface target tracking, and airborne precision ground radars, these applications demand a spectrum of 0.5 GHz to 40 GHz, more details are given .
Starting by initializing varying ϵ with electric loss angle δe=π/9 and constant RAM thickness, assuming common dielectric materials used for absorbers, such as foams, plastics and elastomers, these materials have no magnetic properties, giving them μ=1+j0 .
2. RAM Reflectivity
In case of incident fields have a negative time dependence e-jωt the relative dielectric properties of RAM are
εr=εr'+jεr''=εrejδe(1)
μr=μr'+jμr''=μrejδm(2)
RAM’s relative intrinsic impedance and refractive index are
Zr=Zr'+jZr''=μr/εr1/2(3)
Nr=Nr'+jNr''=μr εr1/2(4)
Prime and double prime superscripts represent real (energy storage) and imaginary (energy loss) parts of RAM dielectric properties which are complex scalars, tan⁡δe and tan⁡δm are the dielectric loss tangents, they are a measure of the power loss in the medium. RAM wave number k=koNr, where ko=ωμoεo=2π/λo is free space wave number and λo=f/c is free space wavelength, f is the incident wave frequency and c=μoεo-1/2 is the energy speed in free space, μo ≈0.4 microhenry/m and εo≈8.854 picofarad/m are free space permeability and permittivity, ω is the radian frequency.
The reflection coefficient of RAM backed by a perfect electric conductor (PEC) (Figure 1) is given by the stratified media approach or transmission line theory as:
R=Zrtanh-jkd-1Zrtanh-jkd+1(5)
d is the RAM thickness, Zr is the RAM impedance normalized by free space intrinsic impedance Zo=μo/εo1/2=120π Ω. tanh argument of (5) is assumed as -jkd=-jkoNrd=kodNr''-jkodNr'=x+jy.
Expressing tanhx+jy=tanhx+jtany1+j tanhxtany with (1-4) are substituted into (5) with some of trigonometric and hyperbolic identities utilization, the voltage reflection coefficient amplitude is given as:
R=X12+X22X32+X421/2(6)
Phase angle of R is important in some narrowband RAM applications where resonant energy cancellation is used .
here,
X1=AaC-b-Zr'',X2=BaC+Zr',
X3=AaC+b+Zr'sinh2x,X4=BaC+Zr''sinh2x
a=sinh2x+sin2y,b=sinh2x+cos2y,
A=μr'εr'+μr''εr'',B=μr''εr'-μr'εr'',
C=εr'2+εr''2,Zr'=Lcosθ,Zr''=Lsinθ,
L=A2+B2C21/4,θ=12tan-1BA
Eqn. (6) rather than (5) paved the way for the algorithm to configure minima with less round error, less iterations, and no discontinuities, it expresses magnitude of RAM reflectivity which is given in decibels as .
RdB=20log10R(7)
Figure 1. One-layer RAM backed by a PEC {impedance of layer i Zi, i=1-3, 1-air, 2-RAM, 3-PEC/or air (section III)}.
3. EMISE
EMISE is based on its ability of attenuating incident radiation by reflection, absorption, and internal reflection mechanisms (classical shielding theory) . The EMISE behaviour of a material depends on its conductivity σ, εr and μr . It is defined as the ratio of transmitted energy (Et) and incident energy (Ei) , the total (SEt) is given . SEtdB=SEA+SER+SEM. Consider a dielectric sheet of thickness d is located between two semi-infinite free space media (Figure 1 with removed PEC). The transmission coefficient is given .
T=11+Z121+Z234ejk2-k3d1+r12r23e2jk2d(8)
here, r12=Z2-Z1Z2+Z1, r23=Z3-Z2Z3+Z2, substituting in (6.a) gives
T=4Z2Z3Z2+Z1Z3+Z2ejk2-k311+r1r2e2jk2d(9)
r1=Z2-Z1Z2+Z1, r2=Z3-Z2Z3+Z2, and Zi=ωμiki, where Zi is the impedance of layer i, the permeability and propagation constant of layer i are μi and ki respectively. ki=ωμiεi-jσiω,
SE=-20log10T=R+A+M(10)
Eqns. (9) and (10) lead to
R=20 log10Z2+Z1Z3+Z24Z2Z3(11)
A=20log10ejk3-k2d(12)
M=20log101+r1r2e2jk2d(13)
The propagation constant γ is given as
γ2=jωμσ+jωϵ(14)
The attenuation constant ∝Np/m is given as
∝=ωωϵ21+σωϵ2-1(15)
Skin depth δ is given .
δ=1πfμσ=1α(16)
The total conductivity σt of RAM is given as
σt=σAC+σDC S m-1(17)
σAC is the AC electrical conductivity σac=ωϵr''ϵo, σDC is the DC electrical conductivity σdc=ϵr''ωϵo-1ωϵr', when SEt>9 dB, SEM can be neglected . Good EMI absorption is achieved by impedance matching . High absorbing shield is attractive because it decreases EM pollution .
4. Results
A survey is performed among a plethora of published references, among them references are selected to configure RAM of good contrasted ϵr and μr combinations.
Relatively high ϵr values are fed to algorithm, as this is essential for enhancing absorption , so the algorithm varies εr from 1 to 20 with δe=π/9 radians, with μr=1+j0. Figures 2 and 3 gives εr' and εr'' versus RdB d=2 mm . minimum R occurs at 10 GHz, (Figures 2 and 3). Figure 4 and 5 shows complex ϵr versus RdB d=0.5 mm. Minimum R is shifted to 40 GHz, the reason is that d=0.5 mm, which accepts only δ at 40 GHz (Figures 4 and 5).
Figure 2. ϵ'r versus RdB.
Figure 6 depicts α (dB/m), it shows that α increases with high magnetic loss (), high electric loss (), but with less sensitivity for moderate values of both electric and magnetic loss RAM (). Figure 7 displays EMISE components SEtotal,  SEA, SER, SEM, it is clear that M and R are insignificant if SEtotal exceeds 9 dB, the major contribution is due to A. Figure 8 shows SE for stepped ϵrshied=μrshied=10m+j10m, step m=1 to 5.
Figure 3. ϵ''r versus RdB
Figure 4. ϵ'r versus RdB
Figure 5. ϵ''r versus RdB
Figure 6. α dB/m (dielectric properties of , and ).
Figure 7. EMI SE components.
Figure 8. SE1 to SE5 ≈A1 to A5 corosponds to ϵrshied=μrshied=10m+j10m, step m=1 to 5.
5. Conclusion
RAM reflectivity and EMISE are investigated. Study of one and two dielectric layers indicates that when material has high permeability and low electrical conductivity most waves are reflected from inside interfaces, SER for lower frequencies is greater than higher frequencies and it decreases with frequency increase. SEA increases with frequency increase, that is why high conductivity, high permeability, and increasing thickness d/δ>1 are necessary to configure good absorbent. The absorption loss is proportional to the thickness of the shield and increases with increasing frequency, unlike reflection where the loss decreases with increasing frequency.
Abbreviations

RAM

Radar Absorbing Material

R

Reflectivity

f

Frequency

EMISE

Electromagnetic Interference Shielding Effectiveness

R

Reflection Loss

A

Absorption Loss

M

Internal Loss

α

Attenuation

RCS

Radar Cross Section

PEC

Perfect Electric Conductor

δₑ

Electric Loss Angle

Author Contributions
Tarek Abdulrahman Sallam: Data curation
Abdel Rahman Mohammad Sallam: Conceptualization
Conflicts of Interest
The authors declare no conflicts of interest.
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  • APA Style

    Sallam, T. A., Sallam, A. R. M. (2026). On the Radar Absorbing Material Reflectivity and Electromagnetic Interference Shielding Effectiveness. American Journal of Electromagnetics and Applications, 14(1), 17-23. https://doi.org/10.11648/j.ajea.20261401.12

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    Sallam, T. A.; Sallam, A. R. M. On the Radar Absorbing Material Reflectivity and Electromagnetic Interference Shielding Effectiveness. Am. J. Electromagn. Appl. 2026, 14(1), 17-23. doi: 10.11648/j.ajea.20261401.12

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    AMA Style

    Sallam TA, Sallam ARM. On the Radar Absorbing Material Reflectivity and Electromagnetic Interference Shielding Effectiveness. Am J Electromagn Appl. 2026;14(1):17-23. doi: 10.11648/j.ajea.20261401.12

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  • @article{10.11648/j.ajea.20261401.12,
      author = {Tarek Abdulrahman Sallam and Abdel Rahman Mohammad Sallam},
      title = {On the Radar Absorbing Material Reflectivity and Electromagnetic Interference Shielding Effectiveness},
      journal = {American Journal of Electromagnetics and Applications},
      volume = {14},
      number = {1},
      pages = {17-23},
      doi = {10.11648/j.ajea.20261401.12},
      url = {https://doi.org/10.11648/j.ajea.20261401.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20261401.12},
      abstract = {The goal of this work is to examine radar absorbing material (RAM); which -in the simplest case- is composed of a single metal-packed coating layer, reflectivity (R) through a frequency (f) range from 0.5 GHz to 40 GHz; this range covers applications of long-range radar, missile detection, surface target tracking, and airborne precision ground radars. Variation of nonmagnetic, homogeneous, and non-dispersive RAM R is reformed to facilitate calculations. Effect of dielectric parameters; permittivity and permeability (ϵ and μ) on R for one layer-metal-packed RAM with two different thicknesses (they influence the electromagnetic wave absorption due to attenuation and matching models) are given. Electromagnetic interference shielding effectiveness (EMISE) which characterises the behaviour of a material depends on material conductivity (σ), relative permittivity (ϵ_r) and relative permeability (μ_r). reflection loss (R), absorption loss (A), and internal loss (M) for one and two layers located between two semi-infinite free space media are derived. Attenuation (α) variations with f, ϵ, μ, and layer thickness for single and double layers are examined. Results indicate that most waves are reflected from inside interfaces of RAM also high conductivity, high permeability, and increasing thickness are necessary to configure good absorbent. Calculations and graphs are carried on using MATLAB R2013a.},
     year = {2026}
    }
    

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    AU  - Tarek Abdulrahman Sallam
    AU  - Abdel Rahman Mohammad Sallam
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    T2  - American Journal of Electromagnetics and Applications
    JF  - American Journal of Electromagnetics and Applications
    JO  - American Journal of Electromagnetics and Applications
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ajea.20261401.12
    AB  - The goal of this work is to examine radar absorbing material (RAM); which -in the simplest case- is composed of a single metal-packed coating layer, reflectivity (R) through a frequency (f) range from 0.5 GHz to 40 GHz; this range covers applications of long-range radar, missile detection, surface target tracking, and airborne precision ground radars. Variation of nonmagnetic, homogeneous, and non-dispersive RAM R is reformed to facilitate calculations. Effect of dielectric parameters; permittivity and permeability (ϵ and μ) on R for one layer-metal-packed RAM with two different thicknesses (they influence the electromagnetic wave absorption due to attenuation and matching models) are given. Electromagnetic interference shielding effectiveness (EMISE) which characterises the behaviour of a material depends on material conductivity (σ), relative permittivity (ϵ_r) and relative permeability (μ_r). reflection loss (R), absorption loss (A), and internal loss (M) for one and two layers located between two semi-infinite free space media are derived. Attenuation (α) variations with f, ϵ, μ, and layer thickness for single and double layers are examined. Results indicate that most waves are reflected from inside interfaces of RAM also high conductivity, high permeability, and increasing thickness are necessary to configure good absorbent. Calculations and graphs are carried on using MATLAB R2013a.
    VL  - 14
    IS  - 1
    ER  - 

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