Abstract

In a planar optical cavity, the resonance frequencies increase as a function of in-plane wavevector according to a standard textbook formula. This has well-known consequences in many different areas of optics, from the shifts of etalon peaks at non-normal angles, to the properties of transverse modes in laser diodes, to the effective mass of microcavity photons, and so on. However, this standard formula is valid only when the reflection phase of each cavity mirror is approximately independent of angle. There is a certain type of mirror-a subwavelength dielectric grating near a guided mode resonance-with not only a strongly angle-dependent reflection phase, but also very high reflectance and low losses. Simulations show that by using such mirrors, high-quality-factor planar cavities can be designed that break all these textbook rules, leading to resonant modes that are slow, stopped or even backward-propagating in the in-plane direction. In particular, we demonstrate experimentally high-Q planar cavities whose resonance frequency is independent of in-plane wavevector-i.e., the resonant modes have zero in-plane group velocity, for one polarization but both in-plane directions. We discuss potential applications in various fields including lasers, quantum optics, and exciton-polariton condensation.

Highlights

  • “Giant positive and negative Goos-Hänchen shift on dielectric gratings caused by guided mode resonance,” Opt

  • It is quite possible for kx,inc > 0 yet kx,guided < 0. These structures can show strong negative Goos–Hänchen shifts [20,33,34,35]. Another advantageous feature of resonant grating filter mirrors is that, since the reflection phase need not be 0 or π, the cavity can be thinner than λ/2n [36], as we will see in the examples below. (Low mode volume is helpful for quantum optics.) using these mirrors leads to several practical benefits compared to some earlier related work [37,38,39], including a vertical-cavity design, simple monolithic growth and patterning, and absence of extra diffraction orders

  • We have argued that the phenomena of slow-light or stopped-light waveguides can be mapped into the domain of high-Q planar cavities, creating a fascinating platform for physics and engineering

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Summary

Introduction

“Bloch cavity solitons in nonlinear resonators with intracavity photonic crystals,” Phys. “Giant positive and negative Goos-Hänchen shift on dielectric gratings caused by guided mode resonance,” Opt. Express 22(2), 2043–2050 (2014).

Results
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