A theoretical investigation of the quarter-wavelength model-part 2: verification and extension

The quarter-wavelength model states that the reflection of microwaves is minimized if the thickness of the film is mλ/4 where m is an odd integer and λ is the wavelength within the film . In part 1 of this work, published previously, it was shown that the theory behind this model is flawed and that it needs to be replaced using a wave superposition approach involving principles not beyond physics at college level. Through the verification of the results from formulae familiar to material scientists, it is shown here that many other concepts in current mainstream microwave absorption theory are used inappropriately including that reflection loss RL has been used to characterize microwave absorption from material instead of film and also that the results have been rationalized incorrectly by impedance matching theory. Impedance matching theory is developed from transmission-line theory for scattering parameter s 11 but cannot be applied to RL which is an innate property only for metal-backed film.

[1]  Y. Liu,et al.  Anodic Polarization Curves Revisited. , 2013 .

[2]  Wei Liu,et al.  Self-Assembled ZnO/Co Hybrid Nanotubes Prepared by Electrospinning for Lightweight and High-Performance Electromagnetic Wave Absorption , 2018, ACS Applied Nano Materials.

[3]  Y. Liu,et al.  Clarifications of concepts concerning interplanar spacing in crystals with reference to recent publications , 2020 .

[4]  Yunhao Zhao,et al.  Boosted Interfacial Polarization from Multishell TiO2 @Fe3 O4 @PPy Heterojunction for Enhanced Microwave Absorption. , 2019, Small.

[5]  Jing Zhu,et al.  Hyper-Cross-Linked Polymers-Derived Porous Tubular Carbon Nanofibers@TiO2 toward a Wide-Band and Lightweight Microwave Absorbent at a Low Loading Content. , 2020, ACS applied materials & interfaces.

[6]  Y. Liu,et al.  A theoretical analysis of the relationships shown from the general experimental results of scattering parameters s 11 and s 21 – exemplified by the film of BaFe12- i Ce i O19/polypyrene with i = 0.2, 0.4, 0.6 , 2021, Journal of Microwave Power and Electromagnetic Energy.

[7]  Xiaobo Chen,et al.  Recent progress of nanomaterials for microwave absorption , 2019 .

[8]  Y. Liu,et al.  Several Theoretical Perspectives of Ferrite-Based Materials—Part 1: Transmission Line Theory and Microwave Absorption , 2017 .

[9]  Yunhao Zhao,et al.  MOF Induces 2D GO to Assemble into 3D Accordion-Like Composites for Tunable and Optimized Microwave Absorption Performance. , 2020, Small.

[10]  Fashen Li,et al.  Strict proof and applicable range of the quarter-wavelength model for microwave absorbers , 2020 .

[11]  Xiaobo Chen,et al.  Microwave Absorption of Organic Metal Halide Nanotubes , 2019, Advanced Materials Interfaces.

[12]  Hongyuan Jia,et al.  Metal–organic framework-derived C/Co/Co3O4 nanocomposites with excellent microwave absorption properties in low frequencies , 2020, Journal of Materials Science: Materials in Electronics.

[13]  Xinghong Zhang,et al.  Achieving tunability of effective electromagnetic wave absorption between the whole X-band and Ku-band via adjusting PPy loading in SiC nanowires/graphene hybrid foam , 2018, Carbon.

[14]  Jie Kong,et al.  Conductive Ag Microspheres with Lychee-like Morphology on the Enhanced Microwave Absorption Properties of MWCNTs , 2020 .

[15]  Youwei Du,et al.  Constructing flower-like core@shell MoSe2-based nanocomposites as a novel and high-efficient microwave absorber , 2021 .

[16]  Y. Liu,et al.  Relationship between heat capacities derived by different but connected approaches , 2020 .

[17]  J. Ioannidis.  Why Most Published Research Findings Are False , 2005, PLoS medicine.

[18]  Jun Ma,et al.  Electromagnetic functionalized Co/C composites by in situ pyrolysis of metal-organic frameworks (ZIF-67) , 2016 .

[20]  Ping Chen,et al.  Constructing and optimizing hollow bird-nest-patterned C@Fe3O4 composites as high-performance microwave absorbers , 2021 .

[21]  Sahrim Ahmad,et al.  Electromagnetic and absorption properties of some microwave absorbers , 2002 .

[22]  Xuandong Li,et al.  Ternary Mo2C/Co/C composites with enhanced electromagnetic waves absorption , 2020 .

[23]  J. Ioannidis,et al.  Why Current Publication Practices May Distort Science , 2008, PLoS medicine.

[24]  Hong-ying Yu,et al.  Metal–organic framework-based Fe/C@Co3O4 core–shell nanocomposites with outstanding microwave absorption properties in low frequencies , 2020, Journal of Materials Science.

[25]  Y. Liu,et al.  A theoretical investigation on the quarter-wavelength model — part 1: analysis , 2021, Physica Scripta.

[26]  Y. Liu,et al.  A mathematical approach to chemical equilibrium theory for gaseous systems IV: a mathematical clarification of Le Chatelier’s principle , 2015, Journal of Mathematical Chemistry.

[27]  Wei Li,et al.  Direct Growth of Edge‐Rich Graphene with Tunable Dielectric Properties in Porous Si3N4 Ceramic for Broadband High‐Performance Microwave Absorption , 2018 .

[28]  Xiaobo Chen,et al.  Obtaining Strong, Broadband Microwave Absorption of Polyaniline Through Data‐Driven Materials Discovery , 2020, Advanced Materials Interfaces.

[29]  W. Cao,et al.  Electromagnetic Response and Energy Conversion for Functions and Devices in Low‐Dimensional Materials , 2019, Advanced Functional Materials.

[30]  Fashen Li,et al.  Investigation on peak frequency of the microwave absorption for carbonyl iron/epoxy resin composite , 2011 .

[31]  Sahrim Ahmad,et al.  Magnetic and microwave absorbing properties of magnetite-thermoplastic natural rubber nanocomposites , 2010 .

[32]  Dongwei Xu,et al.  Synthesis of novel hierarchical CoNi@NC hollow microspheres with enhanced microwave absorption performance , 2021, Journal of Materials Science: Materials in Electronics.

[33]  Y. Liu,et al.  A comparative study of Fe3O4/polyaniline composites with octahedral and microspherical inorganic kernels , 2014, Journal of Materials Science.

[34]  Xijiang Han,et al.  Synthesis of pomegranate-like Mo2C@C nanospheres for highly efficient microwave absorption , 2019, Chemical Engineering Journal.

[35]  Liming Wang,et al.  Preparation of copper-cobalt-nickel ferrite/graphene oxide/polyaniline composite and its applications in microwave absorption coating , 2020 .

[36]  Honglong Xing,et al.  Electromagnetic wave absorption of hierarchical porous MWCNTs@ZnO/NiO composites enhanced by multiple polarization and dielectric loss , 2020, Journal of Materials Science: Materials in Electronics.

[37]  Mengjie Liu,et al.  One-dimensional chain-like MnO@Co/C composites for high-efficient electromagnetic wave absorbent , 2020 .

[38]  Ying Wang,et al.  Prussian blue analogues derived magnetic FeCo alloy/carbon composites with tunable chemical composition and enhanced microwave absorption. , 2018, Journal of colloid and interface science.

[39]  Y. Liu,et al.  Broadband microwave absorption of Fe3O4BaTiO3 composites enhanced by interfacial polarization and impedance matching , 2019, Composites Part B: Engineering.

[40]  Yu Yao,et al.  Constructing a 3D interconnected Fe@graphitic carbon structure for a highly efficient microwave absorber , 2020 .

[41]  Hong-fang Qiu,et al.  Synthesis of ternary core-shell structured ZnOC@CoC@PAN for high-performance electromagnetic absorption , 2021, Journal of Alloys and Compounds.

[42]  Yi Zhang,et al.  Attractive microwave absorption and the impedance match effect in zinc oxide and carbonyl iron composite , 2011 .

[43]  Zhanhu Guo,et al.  Enhanced electromagnetic wave absorbing nickel (Oxide)-Carbon nanocomposites , 2019 .

[44]  Chunhua Tian,et al.  Space-confined Synthesis of Core-shell BaTiO3@carbon Microspheres as a High-performance Binary Dielectric System for Microwave Absorption. , 2019, ACS applied materials & interfaces.

[45]  Ping Chen,et al.  Anemone-shaped ZIF-67@CNTs as effective electromagnetic absorbent covered the whole X-band , 2021 .