A Stable Representation of the Transmittance Between Identical Circular Apertures

(2018) 2nd URSI Atlantic Radio Science Meeting (AT-RASC) — Location: Gran Canaria, Spain (28.May.2018)

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Abstract
In recent work, the transmittance between circular apertures was formulated, thanks to the projection of equivalent currents evaluated on the apertures over Zernike polynomials, through a polynomial series of a near-field coefficient which is accurate for large apertures and low-order modes. It was observed that this expansion becomes numerically instable for low relative distances. In this paper, we derive a stable representation which can be calculated at arbitrary distance. In case of identical modes, it reduces to a closed-form expression for which an asymptotic near-field formula is given.
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Gueuning, Q., Craeye, C., & Oestges, C. (2018). A Stable Representation of the Transmittance Between Identical Circular Apertures. Proceedings 2nd URSI Atlantic Radio Science Meeting (AT-RASC). Published. 2nd URSI Atlantic Radio Science Meeting (AT-RASC), Gran Canaria, Spain. https://doi.org/10.23919/ursi-at-rasc.2018.8471414