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Dynamical localization in microdisk lasers

W. Fang, H. Cao, V. A. Podolskiy, and E. E. Narimanov

Open Access Open Access

Abstract

We demonstrate the lasing action from a dynamically localized mode in a microdisk resonator with rough boundary. Although substantial boundary roughness and surface defects in our devices imply strong light scattering and destroy the regular whispering gallery modes, the destructive interference of the scattered light leads to the dynamical Anderson localization in the phase space of the system and the formation of a different type of high-Q modes. Using direct optical imaging of the lasing mode and theoretical calculations, we show that the lasing modes in our devices has dynamical localization origin. This behavior, although demonstrated here in GaAs-InAs microdisk laser, should be applicable to any lasers and sensors based on semiconductor or polymer materials.

©2005 Optical Society of America

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Figures (8)
Fig. 1.
Fig. 1. The typical ray trajectory in circular (a) and rough (b, c) resonators. The resonator geometry in (b) corresponds to the adiabatic regime (Κ ≈ 0.06), the geometry in (c) corresponds to the device studied in our experiments (Κ ≈ 0.2).

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Fig. 2.
Fig. 2. Top (a) and side (b) view SEM images of a GaAs microdisk on an Al0.7Ga0.3 pedestal.

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Fig. 3.
Fig. 3. (a) Spectrum of emission from the GaAs microdisk shown in Fig. 2. The incident pump power is 44μW. (b) The emission intensity and linewidth of the mode at 855.5nm as a function of the incident pump power.

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Fig. 4.
Fig. 4. The blue curve I and the inset I are the spectrum and near-field image taken when the bandpass filter is tuned to the mode at 855.5nm. The red curve II and the inset II are the spectrum and image taken when the bandpass filter is tuned away from any cavity resonance. The incident pump power is 44μW.

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Fig. 5.
Fig. 5. (a) Radial distribution of the emission intensity when the bandpass filter is tuned to the mode at 855.5nm. The incident pump powers are marked next to the curves. (b) The blue (red) curve represents the radial distribution of the laser emission (or amplified spontaneous emission) intensity obtained from the inset I (II) in Fig. 4.

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Fig. 6.
Fig. 6. (a) Two-dimensional spatial-spectral image of the emission from the microdisk in Fig. 2. The incident pump power is 44μW. (b) Blue (red) curve is the spectrum of emission collected from the edge (center) part of the disk, corresponding to the horizontal strip marked by 1 (2) in (a). (c) Blue (red) line represents the emission intensity distribution across the disk diameter inside the vertical strip marked by α (β) in (a).

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Fig. 7.
Fig. 7. Poincare surface of section (SOS) in (a) a circular microcavity and (b) the microdisk of rough boundary shown in Fig. 2. Note the chaotic dynamics in the fabricated microcavity.

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Fig. 8.
Fig. 8. (a) Angle-averaged radial structure of the mode obtained in numerical calculations (solid line) and in experiments (dots) (constant ASE background subtracted). the inset shows the real-space mode structure. (b) The angular-momentum distribution of the lasing mode obtained from our numerical simulations in logarithmic scale (dots) and its fit to exponential (solid lines).

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Equations (5)

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

κ = 〈 ( d R d ϕ ) 2 〉 1 2
κ ≪ λ R 0
I r ( r ) = 1 2 π ∫ 0 2 π I ( r , θ ) d θ
ψ m ∝ exp ( − ∣ m − m 0 ∣ l ) ,
κ ≪ 1 n k R 0
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