Photonic-crystal-based high-performance ring resonator using a topological interface state: design and analysis

Dhiraj Kumar; Jayanta Kumar Rakshit; Uttara Biswas; Abhinav Bhatnagar; Chittaranjan Nayak

doi:10.1364/AO.486832

Applied Optics
Vol. 62,
Issue 16,
pp. 4281-4287
(2023)
•https://doi.org/10.1364/AO.486832

Photonic-crystal-based high-performance ring resonator using a topological interface state: design and analysis

Dhiraj Kumar, Jayanta Kumar Rakshit, Uttara Biswas, Abhinav Bhatnagar, and Chittaranjan Nayak

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Dhiraj Kumar, Jayanta Kumar Rakshit, Uttara Biswas, Abhinav Bhatnagar, and Chittaranjan Nayak, "Photonic-crystal-based high-performance ring resonator using a topological interface state: design and analysis," Appl. Opt. 62, 4281-4287 (2023)

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Abstract

We propose a photonic crystal ring resonator for the enhancement of quality factor that supports two-dimensionally bounded topological edge states. Crystal parameters are obtained through finite-difference time-domain numerical simulation to get the enhanced quality factor using the topological properties of the photonic crystal. Topological edge states are created when two regions with dissimilar band topologies come together at an interface and are contained within a slab of dielectric material. These edge states can move along sharp edges without backscattering. The transmission dropout issue arises whenever the quality factor is enhanced in a conventional photonic system and is eliminated remarkably by employing the present approach. Such nanoscale photonic crystal structures promote robust interactions between quantum emitters and photonic edge states.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Upper Rod Radius (nm)	110									130
Lower rod radius (nm)	100	105	115	120	125	130	135	140		100	105	110	115	120	125	135	140
Q factor	150	190	418	244	213	1167	1010	600		513	600	850	1050	1063	984	557	322
Lattice constant	500		510		520	530		540	542		545		547		550	555
Q factor	–		163		234	1092		1167	517		555		–		–	–

Sl. No.	Parameters	Specification
1	Configuration	Rods in air
2	Lattice structure	Square-type lattice
3	Refractive index of Si	3.41
4	Source wavelength band	1.3–1.6 µm
5	Resonant wavelength ( $λ_{res}$ )	1435 nm for the structure shown in Fig. 2, 1497 nm for the structure shown in Fig. 3, 1465 nm for the structure shown in Fig. 4
6	Radius of the rod ( $r_{1}$ and $r_{2}$ )	$r_{1} = 110 n m$ and $r_{2} = 130 n m$
7	Lattice constant (a)	540 nm
8	Number of rods in X and Y directions	$15 \times 13$
9	Footprint	$60 {µ m}^{2}$
10	Simulation time	750 s
11	Input source amplitude	12
12	Type of source	Mode source
13	Mode selection	Fundamental TM mode
14	Number of trial mode	12

Sl. No.	Reference	Simulation Platform	Q Factor	No. of Rods	Lattice Type	Lattice Constant (in nm)
1.	[35]	2D FDTD	842	$21 \times 21$	Square	−
2.	[36]	2D FDTD	135.54	$23 \times 21$	Square	540
3.	[37]	2D FDTD	186.75	$21 \times 21$	Square	540
4.	[38]	2D FDTD	225	–	Square	589
5.	[39]	2D FDTD	486	–	Triangular	800
6.	[40]	2D FDTD	749.58	$23 \times 17$	Hexagonal	800
7.	[41]	2D FDTD	514.33	$23 \times 16$	Hexagonal	605
8.	[42]	2D FDTD	707	$33 \times 21$	Square	584
9.	[43]	2D FDTD	1000	–	Square	540
10.	[44]	2D FDTD	310–391.5	$20 \times 19$	Square	540
11.	Our proposed model with topological interface state	2D FDTD	1167	$15 \times 13$	Square	540

Upper Rod Radius (nm)	110									130
Lower rod radius (nm)	100	105	115	120	125	130	135	140		100	105	110	115	120	125	135	140
Q factor	150	190	418	244	213	1167	1010	600		513	600	850	1050	1063	984	557	322
Lattice constant	500		510		520	530		540	542		545		547		550	555
Q factor	–		163		234	1092		1167	517		555		–		–	–

Sl. No.	Parameters	Specification
1	Configuration	Rods in air
2	Lattice structure	Square-type lattice
3	Refractive index of Si	3.41
4	Source wavelength band	1.3–1.6 µm
5	Resonant wavelength ( $λ_{res}$ )	1435 nm for the structure shown in Fig. 2, 1497 nm for the structure shown in Fig. 3, 1465 nm for the structure shown in Fig. 4
6	Radius of the rod ( $r_{1}$ and $r_{2}$ )	$r_{1} = 110 n m$ and $r_{2} = 130 n m$
7	Lattice constant (a)	540 nm
8	Number of rods in X and Y directions	$15 \times 13$
9	Footprint	$60 {µ m}^{2}$
10	Simulation time	750 s
11	Input source amplitude	12
12	Type of source	Mode source
13	Mode selection	Fundamental TM mode
14	Number of trial mode	12

Jayanta Kumar Rakshit	https://orcid.org/0000-0002-5164-6018
Chittaranjan Nayak	https://orcid.org/0000-0002-4552-3708

Abstract

Data availability

Cited By

Figures (8)

Tables (3)

Equations (1)

Applied Optics