Lasing properties of disk microcavity based on a circular Bragg reflector

Abstract

The lasing properties of quantum well structures, where the cavity is defined in the plane of the wells by circular Bragg reflectors are investigated. Diffraction of the in-plane lasing modes into the vertical direction by the circular distributed Bragg reflector (DBR) allows the simultaneous measurement of near-field emission patterns and emission spectra, allowing unambiguous assignment of azimuthal quantum numbers to the lasing modes. The radial quantum number is determined by fitting the lasing spectrum to theory. Lasing is shown to occur in modes whose wave vector is mainly radial, confined by the circular DBR structure, rather than in whispering gallery type modes which are mainly azimuthal.

Annular Bragg defect mode resonators

“…One method of realizing tight confinement and high Q is to utilize Bragg reflection instead of total internal reflection (as in ''conventional'' resonators). Disk resonators based on Bragg reflection have been analyzed in the past, both for laser and passive-resonator applications, [4][5][6][7][8][9][10][11][12] employing both coupled-mode theory and field transfer matrices.…”

“…Bragg-reflection-based disk resonators (i.e., a disk surrounded by concentric Bragg layers) and, recently, ring resonators have been studied theoretically and demonstrated experimentally. [4][5][6][7][8][9][10][11][12][13] Also recently, a hexagonal-waveguide ring resonator based on photonicbandgap-crystal confinement on both sides of the waveguide was demonstrated experimentally. 14 However, this structure exploited the specific symmetry of the triangular lattice that permits low-loss, 60°abrupt turns in order to realize a closed resonator.…”

Coupled-waves approach to the design and analysis of bragg and photonic crystal annular resonators

“…Since and are complex conjugates of each other, the ratio between them is twice the phase of the numerator and (10) can be rewritten as (11) It is interesting to note that the perturbation profile (11) exhibits fundamental resemblance to the required perturbation in the Cartesian system , where is the propagation factor of the wave that the perturbation is designed to reflect [17]. Since , the perturbation profile in a Cartesian system can be written as (12) The functional form of (12) is identical to the form of (11). Whether in Cartesian or cylindrical geometry, the generating functions are the eigen-modes of the wave equation in the ap-propriate coordinate system (plane waves for the Cartesian case and Hankel functions for the cylindrical case).…”

Low-threshold two-dimensional annular Bragg lasers

“…9 This class of resonators is closely related to the family of circulargrating distributed Bragg ref lector resonators, which also exhibit lasing patterns with low angular propagation coeff icients. 10,11 In this Letter we report on the observation of photoluminescence and lasing from ABRs realized in semiconductor material (see Fig. 1).…”