Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Small-volume waveguide-section high Q microcavities in 2D photonic crystal slabs

Open Access Open Access

Abstract

A series of microcavities in 2D hexagonal lattice photonic crystal slabs are studied in this paper. The microcavities are small sections of a photonic crystal waveguide. Finite difference time domain simulations show that these cavities preserve high Q modes with similar geometrical parameters and field profile. Effective modal volume is reduced gradually in this series of microcavity modes while maintaining high quality factor. Vertical Q value larger than 106 is obtained for one of these cavity modes with effective modal volume around 5.40 cubic half wavelengths [(λ/2nslab)3]. Another cavity mode provides even smaller modal volume around 2.30 cubic half wavelengths, with vertical Q value exceeding105.

©2004 Optical Society of America

Full Article  |  PDF Article
More Like This
Fourier space design of high-Q cavities in standard and compressed hexagonal lattice photonic crystals

Kartik Srinivasan and Oskar Painter
Opt. Express 11(6) 579-593 (2003)

Fabrication-tolerant high quality factor photonic crystal microcavities

Kartik Srinivasan, Paul E. Barclay, and Oskar Painter
Opt. Express 12(7) 1458-1463 (2004)

Momentum space design of high-Q photonic crystal optical cavities

Kartik Srinivasan and Oskar Painter
Opt. Express 10(15) 670-684 (2002)

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1.
Fig. 1. Schematic diagram of 2D PCS microcavities with three central holes missing in a row. The refractive index of the slab is 3.4 and the thickness t is 0.7a. d and R1 are varied to find the largest Q of the M3 mode.
Fig. 2.
Fig. 2. (a) H 𝑧 field distribution of the M3 mode. (b) k space intensity profile I. The region inside the blue dashed circle (the light line) is the leaky region.
Fig. 3.
Fig. 3. (a) M2 cavity, with d=0.23a and R1 =0.2a . (b) H z field distribution of the M2 mode. (c) k space intensity profile I. Components inside the leaky region are reduced compared to the M3 mode in Fig. 2(b)
Fig. 4.
Fig. 4. (a) M1 cavity, with d=0.21a, R1 =0.22a and R2 =0.25a (b) H z field distribution of the M1 mode. (c) k space intensity profile I. Components inside the leaky region are greatly reduced compared to the M2 mode in Fig. 3(c)
Fig. 5.
Fig. 5. (a) M0 cavity, with d=0.14a and R1 =0.27a. (b) H z field distribution of the M0 mode. (c) k space intensity profile I.
Fig. 6.
Fig. 6. Electric intensity distribution of (a) M3 mode, (b) M2 mode, (c) M1 mode, and (d) M0 mode.
Fig. 7.
Fig. 7. (a) Q value (the blue line with diamond marker) and modal volume (the green line with circle marker) comparison of the four modes. (b) Q (the blue line with diamond marker) and radiation factor RF (the green line with circle marker) comparison of the four modes. RF is normalized to the M1 mode.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

V = ε ( x , y , z ) · E ( x , y , z ) 2 dxdydz max [ ε ( x , y , z ) · E ( x , y , z ) 2 ] ,
E ( x , y , z ) 2 = E x ( x , y , z ) 2 + E y ( x , y , z ) 2 + E z ( x , y , z ) 2 .
P = η 8 λ 2 k 2 k k I · d k x · d k y ,
I = F T 2 ( H y ) + 1 η F T 2 ( E x ) 2 + F T 2 ( H x ) 1 η F T 2 ( E y ) 2
Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved