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Related Experiment Video

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Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

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Published on: August 17, 2017

Interference traps waves in an open system: bound states in the continuum.

Almas F Sadreev¹

¹Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia.

Reports on Progress in Physics. Physical Society (Great Britain)

|March 17, 2021

Summary

This review explores four mechanisms for bound states in the continuum (BICs) within open cavities. These phenomena, crucial for wave manipulation, are explained using effective non-Hermitian Hamiltonians and coupled mode theory.

Keywords:

bound states in the continuum effective non Hermitian Hamiltonian open microwave and acoustic resonators wave localization in one-dimensional wires

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Area of Science:

Physics
Acoustics
Electromagnetism

Background:

Bound states in the continuum (BICs) are unique wave phenomena where localized states exist within a continuous spectrum.
BICs have potential applications in various wave-based technologies, including microwave and acoustic devices.

Purpose of the Study:

To review and categorize the four primary mechanisms responsible for generating bound states in the continuum (BICs).
To discuss the application of these BIC mechanisms in open microwave and acoustic cavities coupled to waveguides.

Main Methods:

Review of theoretical frameworks for BIC generation.
Application of effective non-Hermitian Hamiltonian methods, equivalent to coupled mode theory.
Identification of BICs through zero-width resonances.

Main Results:

Detailed explanation of four BIC mechanisms: symmetry-protected, Friedrich-Wintgen, Fabry-Perot, and accidental BICs.
Discussion of BICs in one-dimensional systems, including spin/polarization or path-separated waves.
Demonstration of BIC realization in open cavities like the Sinai billiard.

Conclusions:

The four reviewed mechanisms provide a comprehensive understanding of BIC formation in open systems.
Effective non-Hermitian Hamiltonian theory is a powerful tool for detecting and analyzing BICs.
BICs offer promising avenues for advanced wave manipulation in resonant structures.