some post-fabrication techniques have been implemented to restore the degeneracy[@hennessy2006; @fox2012].

Here we show that H1 PhC microcavities can be optimized for high extraction efficiency while maintaining a high Q. We optimize the far-field emission patterns of our devices and suggest a compromise design in which we can achieve a collection efficiency of $80\%$ into a numerical aperture of 0.8 while maintaining a high Q of 15,000 in simulation. The maximum coupling of this cavity mode to a single mode fiber is $92\%$. We demonstrate experimentally, for the first time to our knowledge, the far-field emission pattern optimization and the improved coupling efficiency of H1 PhC devices. This paper is organized as follows: in Sec. \[sims\], we discuss our cavity design optimization and numerical simulation results; in Sec. \[results\], we discuss our experimental results, including the far-field and coupling efficiency measurements; and in Sec. \[conclude\], we conclude and provide an outlook of this work.

Optimized H1 cavity design {#sims}
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![(a) Sketch of the H1 cavity, indicating the outward shift and reduced size of the six nearest air holes. (b) SEM image of a fabricated H1 cavity PhC device; scale bar: 2 $\mu$m. (c) Characteristic photoluminescence measurement of a fabricated 