  We report on multi-resonance chirped distributed Bragg reflector (DBR)
microcavities. These systems are employed to investigate the light-mater
interaction with both intra- and inter-layer excitons of transition metal
dichalcogenide (TMDC) bilayer heterostructures. The chirped DBRs consisting of
SiO2 and Si3N4 layers with gradually changing thickness exhibit a broad
stopband with a width exceeding 600 nm. Importantly, and in contrast to
conventional single-resonance microcavities, our structures provide multiple
resonances across a broad spectral range, which can be matched to spectrally
distinct resonances of the embedded TMDC heterostructures. We study
cavity-coupled emission of both intra- and inter-layer excitons from an
integrated WSe2/MoSe2 heterostructure in a chirped microcavity system. We
observe an enhanced interlayer exciton emission with a Purcell factor of 6.67
+- 1.02 at 4 K. Additionally, we take advantage of cavity-enhanced emission of
the interlayer exciton to investigate its temperature-dependent luminescence
lifetime, which yields a value of 60 ps at room temperature. Our approach
provides an intriguing platform for future studies of energetically distant and
confined excitons in different semiconducting materials, which paves the way
for various applications such as microlasers and single-photon sources by
enabling precise control and manipulation of excitonic interactions utilizing
multimode resonance light-matter interaction.
