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Systems exhibiting degeneracies known as exceptional points have remarkableproperties with powerful applications, particularly in sensor design. Thesedegeneracies are formed when eigenstates coincide, and the remarkable effectsare exaggerated by increasing the order of the exceptional point (that is, thenumber of coinciding eigenstates). In this work, we use asymptotic techniquesto study PT-symmetric arrays of many subwavelength resonators and search forhigh-order asymptotic exceptional points. This analysis reveals the range ofdifferent configurations that can give rise to high-order exceptional pointsand provides efficient techniques to compute them. We also show how systemsexhibiting high-order exceptional points can be used for sensitivityenhancement.

High-order exceptional points and enhanced sensing in subwavelength resonator arrays