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Standing Waves in a Cavity

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

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Terminal-Matched Topological Photonic Substrate-Integrated Waveguides and Antennas for Microwave Systems.

Zhixia Xu^1,2, Xiaonan Sun², Haotian Wu³

¹State Key Laboratory of Millimeter Waves, Southeast University, Nanjing, 210096, China.

Advanced Science (Weinheim, Baden-Wurttemberg, Germany)

|July 4, 2024

Summary

This study introduces a novel topological photonic substrate-integrated waveguide (TPSIW) for efficient coupling in microwave systems. The TPSIW enables high-performance wireless devices by suppressing backscattering and facilitating beam steering.

Keywords:

edge state leaky‐wave antenna substrate integrated waveguide topological photonic crystal wireless communication

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Area of Science:

Photonics and Electromagnetics
Materials Science and Engineering

Background:

Topological photonic (TP) modes offer backscattering suppression in engineered lattices.
Integrating TP modes into electromagnetic systems is challenging due to inefficient coupling technologies.
Existing methods suffer significant scattering at waveguide terminals.

Purpose of the Study:

To propose a novel topological photonic substrate-integrated waveguide (TPSIW) for seamless integration into microstrip line systems.
To demonstrate efficient coupling between TP modes and conventional transmission modes.
To develop topological leaky-wave antennas with beam steering capabilities.

Main Methods:

Development of a substrate-integrated waveguide structure supporting topological photonic modes.
Design of slots on the TPSIW surface to introduce topological leaky states.
Establishment of a wireless link utilizing TPSIWs for signal transmission.

Main Results:

Achieved seamless integration of TP modes into traditional microstrip line systems.
Demonstrated efficient coupling of both even and odd TP modes with quasi-transverse electromagnetic modes, minimizing energy losses.
Successfully created TP leaky-wave antennas with beam steering capabilities and established a wireless link for directional signal transmission.

Conclusions:

The proposed TPSIW effectively addresses the coupling and matching challenges for integrating TP modes in microwave systems.
This work paves the way for developing high-performance wireless devices leveraging topological photonics.
The demonstrated beam steering and directional transmission capabilities highlight the potential for advanced wireless communication.