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Equivalence of knife-edge diffraction model and uniform geometrical theory of diffraction applying Fresnel approximation for an absorbing screen
  • Xin Du,
  • Jun-ichi Takada
Xin Du
Tokyo Institute of Technology

Corresponding Author:tkdduxin@gmail.com

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Jun-ichi Takada
Tokyo Institute of Technology
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Abstract

The knife-edge diffraction model (KED) and the uniform geometrical theory of diffraction (UTD) have been widely used to predict the shadowing effect at millimetre-wave (mmWave) bands. This letter proposes a mathematical derivation to rigorously prove that, for an absorbing screen, UTD applying the narrow-angle Fresnel approximation is equivalent to KED. The simulation scenarios are designed to validate the proposal by comparing KED with UTD in the narrow-angle (less than 20) and wide-angle (over 20) regions at mmWave bands (20 GHz - 100 GHz). Simulated results agree with the proposal that KED is identical to UTD with a low error of less than 0.1 dB in the narrow-angle region, while they have a difference with an error of over 1 dB in the wide-angle region. In addition, the average computational time is measured and results in both UTD and KED taking approximately 8.0 ms for one test. From the proposal, it can be theoretically explained the differences and similarities between KED and UTD for an absorbing screen.
06 Jul 2023Submitted to Electronics Letters
07 Jul 2023Submission Checks Completed
07 Jul 2023Assigned to Editor
19 Sep 2023Reviewer(s) Assigned
31 Oct 2023Review(s) Completed, Editorial Evaluation Pending
01 Nov 2023Editorial Decision: Accept