Optical-Fiber-Based Measurement of an Ultrasmall Volume, High-Q Silicon
4.8 Efficient optical fiber coupling to photonic crystal microcavities and microdisksand microdisks
4.8 Efficient optical fiber coupling to photonic crystal microcavities
optical fiber taper
photonic crystal microcavity photonic crystal waveguide
input to taper
x
y z
output from cavity
Figure 4.12: Fiber-coupled PC microcavity using an intermediate PC waveguide. (i) the taper adia- batically converts light injected into its input to a micron-scale field,(ii) light is contradirectionally coupled to a phase matched PCWG with high (>95%) efficiency, (iii) light tunnels from the end of the PCWG into a mode-matched PC cavity, (iv) coupling from the cavity back to the fiber follows the reverse process, so that the output from the cavity is detected in the reflected signal at the fiber input. Refer to the paper of Barclay et al., for details [57].
an optical fiber [133]. However, in PC microcavities, the solution is not necessarily straightforward;
their wavelength-scale modal patterns are typically not suited for direct mode matching to the much larger standard free-space and fiber optics. One solution is to integrate the cavity with an on-chip photonic crystal waveguide (PCWG), and then use various end-fire-based approaches to couple into and out of the PCWG. Despite significant improvement in techniques for such end-fire coupling, losses of>1 dB per coupling junction can still be expected in such systems [134].
To minimize the amount of ’bad’ loss when coupling to the cavities while still taking advan- tage of the desirable properties of fiber tapers, my colleague Paul Barclay developed a technique that makes use of an intermediate photonic crystal waveguide (PCWG) [57]. In this approach (fig.
4.12(a)), light is first efficiently (>95%) transferred to the PC chip by phase matched evanescent coupling between an optical fiber taper and a PCWG [39]. This coupling is so efficient because the PCWG has been designed to phase match to the mode of the optical fiber taper (not the case in direct coupling between the fiber and cavity), and has a significant enough spatial overlap with it for near-complete power transfer over tens of microns. The PCWG is terminated by the PC cavity;
the two devices have been designed to be mode matched so that coupling between them is also very efficient. Thus, light propagates through the PCWG, and when it reaches the PC cavity termination, some amount of the light that is resonant with the cavity mode tunnels into it (the amount of tun- neling can be adjusted by tailoring the PCWG-PC cavity junction). This light can then interact with
material in the cavity (an atom or quantum dot, for example), and then tunnel back into the PCWG, where it will be transferred back into the reflected signal of the optical fiber for measurement.
Experimental measurements of fabricated Si devices have yielded an unoptimized fiber-to-cavity coupling efficiency of 44% for a cavity with a loaded (unloaded) Q of 38,000 (47,000). Importantly, the limitations on the demonstrated coupling efficiency were not fundamental, but due to techni- cal reasons, such as non-ideal taper-PCWG coupling and an imperfectly tailored PCWG-PC cavity transition region.
4.8.2 Microdisk cavities
Complementing the work described in the previous sections of this chapter, my colleague Matt Borselli has investigated silicon microdisk cavities, of the geometry shown in fig. 4.13. Microdisk cavities support whispering gallery modes (WGMs) in which light circulates around the periphery of the structure and is confined by total internal reflection at both the curved interface and the top and bottom surfaces. In comparison to microsphere cavities [19, 20, 135], microdisks are an optically thin dielectric slab in one dimension, which serves the dual purpose of dramatically reducing the number of modes within the structure, as well as the volume of those modes.
These microdisk cavities were of particular interest because they could support modes with very high radiation-limited quality factors (Qrad∼108) for all but the smallest diameter structures (this was verified by finite-element-method simulations [136, 128, 137]). This is a result of the large refractive index contrast between the Si (n∼3.4) layer and the surrounding air (n=1). This large index contrast also suggests that modes with a much tighter spatial confinement (i.e., a smaller Veff) than what is available in glass microcavities [19, 20, 56] can be supported. In addition to their potential Q and Veffvalues, these cavities can be fabricated using the exact same fabrication processes developed above (section 4.2), and can be probed using optical fiber tapers.
Reference [64] describes the first set of results obtained from these devices. Cold-cavity Qs as high as ∼5×105 for Veff∼6(λ/n)3 were demonstrated, as were loaded Qs of ∼1.5×105 for a taper-cavity coupling depth of ∼50%. Since these initial results, Matt and another colleague, Tom Johnson, have gone on to show that they could reach Qs as high as 5.0×106, albeit in larger volume devices [65], and have achieved critical coupling and overcoupling to these devices [128].
These high Qs have been achieved through additional improvements to the fabrication procedure described earlier, including the use of a resist reflow process to ensure very circular disk geometries [65], and a sequence of cleaning steps at the end of the disk fabrication aimed at the removal of
Figure 4.13: Scanning electron micro- scope image of a silicon microdisk cav- ity. Refer to the paper of Borselli et al., for further details [64].
highly absorbing surface layers from the devices [128].
From the perspective of the cavity QED experiments that have been a focus of this thesis, these Si microdisk cavities are extremely appealing, particularly in conjunction with integrated self- assembled quantum dots (QDs), where the field of the microdisk can optimally spatially overlap with the QD. Although PC cavities can ultimately result in similar or even better performance in terms of metrics such as Q/Veff [52, 51, 28, 30], and can be effectively coupled to through the use of photonic crystal waveguides integrated with optical fiber tapers [57], these microdisk cavities are quite competitive on both the Q/Veffand coupling fronts. More importantly, the simplicity of direct fiber coupling (rather than use of an intermediate element as is necessary for the PC cavities) and the relative ease of fabrication of these devices make them promising candidates for initial experiments.
This is described in further detail in the upcoming chapters.