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State-variable analysis of pulsed EM-fields in temporally layered media
Martin Stumpf1,2, Giulio Antonini3
1Department of Radio Electronics, FEEC, Brno University of Technology, Brno, 616 00, Czech Republic. martin.stumpf@centrum.cz.
Scientific Reports
|June 13, 2026
Summary
A new recursive method analyzes pulsed wave propagation in media with abrupt changes. This approach models waves in layered materials, advancing understanding of wave behavior in discontinuous systems.
Area of Science:
- Physics
- Electromagnetism
- Wave Propagation
Background:
- Understanding wave propagation in complex media is crucial for various physics and engineering applications.
- Temporally discontinuous media present unique challenges due to abrupt changes in material properties over time.
Purpose of the Study:
- To introduce a novel recursive analytical procedure for analyzing pulsed wave propagation.
- To describe wave propagation in piecewise time-invariant systems.
- To provide an analytical description for space-time waves in temporally layered media.
Main Methods:
- Utilizing standard state-variable theory for piecewise time-invariant systems.
- Developing a recursive analytical procedure for wave analysis.
- Modeling the medium as an equivalent transmission line with abruptly changing electromagnetic parameters.
Main Results:
- A recursive analytical procedure for pulsed wave propagation in temporally discontinuous media was successfully developed.
- The method provides an effective way to analyze wave dynamics in media with abrupt temporal changes.
- An analytical description for (1+1)-D space-time waves in a temporally layered slab was illustrated.
Conclusions:
- The introduced recursive analytical procedure is effective for analyzing pulsed wave propagation in temporally discontinuous media.
- This method offers a valuable tool for studying wave phenomena in layered materials and similar discontinuous systems.
- The findings contribute to a deeper understanding of wave behavior in complex, time-varying environments.
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