Pinholes meet fabry-pérot: Perfect and imperfect transmission ofwaves through small apertures

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Abstract

Waves, of wavelength λ, transmit poorly through apertures of dimensions ℓ≪λ. Here it is shown that coupling of a subwavelength aperture to an electromagnetic oscillator makes it possible for a focused, diffraction-limited beam that impinges on the aperture to undergo perfect transmission. Ignoring nonradiative losses, and for apertures with closed boundaries in a metallic screen, the transmitted power at the oscillator’s natural frequency is enhanced by a factor of (λ/ℓ)6 compared with the nonresonant case. As a nontrivial extension to apertures with open boundaries, an analytically solvable problem is introduced and analyzed, which involves a pair of arbitrarily small slits in a two-dimensional waveguide. The system displays perfect transmission at a frequency corresponding to that of a quasilocalized, cavitylike mode bound to the slits, the frequency of which is below that of the cutoff mode of the continuum. In contrast, and remarkably, the Fabry-Pérot-like resonance with the extended cutoff mode leads to imperfect transmission, comparable to that of an individual, nonresonated slit. An explanation of this single-slit-like behavior is presented, which also applies to the closely related phenomenon of light funneling concerning transmission through subwavelength channels [see F. Pardo et al. Phys. Rev. Lett. 107 093902 (2011), and references therein].

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APA

Merlin, R. (2012). Pinholes meet fabry-pérot: Perfect and imperfect transmission ofwaves through small apertures. Physical Review X, 2(3). https://doi.org/10.1103/PhysRevX.2.031015

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