# Real transmission and reflection zeros of periodic structures with a bound state in the continuum

@article{Yuan2022RealTA,
title={Real transmission and reflection zeros of periodic structures with a bound state in the continuum},
author={Lijun Yuan and Mingyang Zhang and Ya Yan Lu},
journal={Physical Review A},
year={2022}
}
• Published 8 May 2022
• Physics
• Physical Review A
For lossless periodic structures with a proper symmetry, the transmission and reﬂection spectra often have peaks and dips that are truly 100% and 0%, respectively. The full peaks and zero dips typically appear near resonant frequencies, and they are robust with respect to structural perturbations that preserve the required symmetry. However, current theories on the existence of full peaks and zero dips are incomplete and diﬃcult to use. For periodic structures with a bound state in the…
1 Citations

## Figures from this paper

### Computing diffraction anomalies as nonlinear eigenvalue problems

• Geology
Physical review. E
• 2022
When a plane electromagnetic wave impinges on a diffraction grating or other periodic structures, reflected and transmitted waves propagate away from the structure in different radiation channels. A

## References

SHOWING 1-10 OF 31 REFERENCES

### Resonances and bound states in the continuum on periodic arrays of slightly noncircular cylinders

• Physics
• 2018
Optical bound states in the continuum (BICs), especially those on periodic structures, have interesting properties and potentially important applications. Existing theoretical and numerical studies

### Total Resonant Transmission and Reflection by Periodic Structures

• Geology, Physics
SIAM J. Appl. Math.
• 2012
For two-dimensional structures, sufficient conditions are established, involving structural symmetry, under which anomalies attain total transmission and total reflection at frequencies separated by an arbitrarily small amount.

### Approximating transmission and reflection spectra near isolated nondegenerate resonances

• Physics
Physical Review A
• 2022
A linear scattering problem for which incoming and outgoing waves are restricted to a ﬁnite number of radiation channels can be precisely described by a frequency-dependent scattering matrix. The

### Parametric dependence of bound states in the continuum on periodic structures

• Physics
• 2020
Bound states in the continuum (BICs) have some unusual properties and important applications in photonics. A periodic structure sandwiched between two homogeneous media is the most popular platform

### Circularly polarized states and propagating bound states in the continuum in a periodic array of cylinders

• Physics
• 2021
Bound states in the continuum (BICs) in a periodic structure sandwiched between two homogeneous media have interesting properties and useful applications in photonics. The topological nature of BICs

### Unidirectional reflectionless transmission for two-dimensional PT -symmetric periodic structures

• Physics
Physical Review A
• 2019
Unidirectional reflectionless propagation (or transmission) is an interesting wave phenomenon observed in many $\mathcal{PT}$-symmetric optical structures. Theoretical studies on unidirectional

### Bloch bound states in the radiation continuum in a periodic array of dielectric rods

• Physics
• 2014
We consider an infinite periodic array of dielectric rods in vacuum with the aim to demonstrate three types of a Bloch bound states in the continuum (BSC), symmetry protected with a zero Bloch

### Resonance and Bound States in Photonic Crystal Slabs

• Physics
SIAM J. Appl. Math.
• 2003
This work analyzes EM resonance in slabs of two-phase dielectric photonic crystal materials using boundary-integral projections for time-harmonic electromagnetic (EM) fields, and presents numerical examples which demonstrate the effects of structural defects on the resonant properties of a crystal slab and surface waves supported by a die...

### Propagating Bloch modes above the lightline on a periodic array of cylinders

• Physics
• 2017
Optical bound states in the radiation continuum (BICs) have interesting properties and potentially important applications. On periodic structures, the BICs are guided modes above the lightline, and

### Indirect link between resonant and guided modes on uniform and periodic slabs

• Physics
Physical Review A
• 2019
A uniform or periodic dielectric slab can serve as an optical waveguide for which guided modes are important, and it can also be used as a diffraction structure for which resonant modes with complex