预印本：

Liu, Yue, Monotonic Decrease of Reflection Loss with Thickness When Material Characteristic Impedance Matches That of Free Space: A Mathematical Proof (November 21, 2025). Available at SSRN: https://ssrn.com/abstract=5780922 or http://dx.doi.org/10.2139/ssrn.5780922

1. 当入射微波没有全部进入膜时（Z_M不等于Z₀），膜的微波吸收机理与材料的微波吸收机理完全不同：

Yue Liu，Ying Liu，Michael G. B Drew，Wave Mechanics of Microwave Absorption in Films - Distinguishing Film from Material，Journal of Magnetism and Magnetic Materials，2024， 593, 171850 ;     ( The wave mechanics for microwave absorption film – Part 2: The difference between film and material，Preprint, Research Square, 15 Aug, 2023, Supplementarial file)

这时膜的微波吸收不是微波在其行进路线上被材料衰减的结果。

2. 只有当入射微波全部进入膜时（Z_M = Z₀），膜的微波吸收机理才和材料的微波吸收机理相同

只有当入射微波全部进入膜时，膜的微波吸收才是微波在其行进路线上被材料衰减的结果。

3. 这是一个已经解决的问题，但是可能仍然存在理解困难

后来我们发现，连AI在这个问题上仍然会犯错误：

https://blog.sciencenet.cn/blog-3589443-1510849.html

与阿里云百炼关于微波吸收的阻抗匹配理论和波动力学理论的争论（2-5）

例如阿里云百炼化了好大的劲才搞明白。

因此似乎这个问题有必要详细说明。于是有了下面的预印本：

Liu, Yue, Monotonic Decrease of Reflection Loss with Thickness When Material Characteristic Impedance Matches That of Free Space: A Mathematical Proof (November 21, 2025). Available at SSRN: https://ssrn.com/abstract=5780922 or http://dx.doi.org/10.2139/ssrn.5780922

4. 相关预印本文章和近期文章

1. Liu, Yue, Monotonic Decrease of Reflection Loss with Thickness When Material Characteristic Impedance Matches That of Free Space: A Mathematical Proof (November 21, 2025). Available at SSRN: https://ssrn.com/abstract=5780922 or http://dx.doi.org/10.2139/ssrn.5780922

2. Yue Liu, The True Significance of Wave Mechanics Theory in Microwave Absorption Research: Redirecting Scientific Inquiry Toward Meaningful Theoretical Advancement, Preprints.org, Preprint, 2025, DOI:10.20944/preprints202511.1214.v1

3. Yue Liu, Ying Liu, Michael G. B. Drew. (2025) Objective Evaluation of Impedance Matching Theory versus Wave Mechanics Theory for Microwave Absorption: A Theoretical Analysis Using Transmission Line Principles Subtitle: A new development of microwave theory in the field of material and device. Journal of Electromagnetics, 8, 15-20; Objective Evaluation of Impedance Matching Theory versus Wave Mechanics Theory for Microwave Absorption: A Theoretical Analysis Using Transmission Line Principles

4. Objective Evaluation: Impedance Matching Theory vs Wave Mechanics Theory in Microwave Absorption

5. Liu, Yue and Liu, Ying and Drew, Michael G. B., The Fundamental Distinction Between Films and Materials: How Conceptual Confusion Led to Theoretical Errors in Microwave Absorption (September 17, 2025). Available at SSRN: https://ssrn.com/abstract=5498078 or http://dx.doi.org/10.2139/ssrn.5498078

6. Yue Liu，Ying Liu，Michael G. B Drew，Citation Issues in Wave Mechanics Theory of Microwave Absorption: A Comprehensive Analysis with Theoretical Foundations and Peer Review Challenges, 2025, arXiv:2508.06522v3, https://doi.org/10.48550/arXiv.2508.06522

7. Yue Liu. Non-Mainstream Scientific Viewpoints in Microwave Absorption Research: Peer Review, Academic Integrity, and Cargo Cult Science, Preprints.org, preprint, 2025, DOI:10.20944/preprints202507.0015.v2, Supplementary Materials

8. Yue Liu, Revolutionary Wave Mechanics Theory Challenges Scientific Establishment (July 07, 2025). Available at SSRN: https://ssrn.com/abstract=5349919 or http://dx.doi.org/10.2139/ssrn.5349919

9. Yue Liu, Michael G.B. Drew, Ying Liu, Theoretical Insights Manifested by Wave Mechanics Theory of Microwave Absorption—Part 1: A Theoretical Perspective, Preprints.org, Preprint, 2025, DOI:10.20944/preprints202503.0314.v5, supplementary.docx (919.54KB ).

10. Yue Liu, Michael G.B. Drew, Ying Liu, Theoretical Insights Manifested by Wave Mechanics Theory of Microwave Absorption—Part 2: A Perspective Based on the Responses from DeepSeek, Preprints.org, Preprint, 2025, DOI:10.20944/preprints202504.0447.v3, Supplementary Materials IVB. Liu Y, Drew MGB, Liu Y. Theoretical Insights Manifested by Wave Mechanics Theory of Microwave Absorption - A Perspective Based on the Responses from DeepSeek. Int J Phys Res Appl. 2025; 8(6): 149-155. Available from: https://dx.doi.org/10.29328/journal.ijpra.1001123, Supplementary Materials, DOI: 10.29328/journal.ijpra.1001123