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The primary optimisation goal is to maximise the magnetic field intensity and uniformity within a liquid sample, while the electric energy should be kept to a minimum level to reduce dielectric heating or quadrupolar moment excitation effects. Due to the symmetric geometry requirement of the cavity, a demultiplexer is also designed to direct each discrete resonant signal to another predetermined output port of the resonator. In order to reduce the geometrical dependency of the resonance frequency, a bespoke metamaterial is used for the cavity host. Therefore, an additional optimisation problem for a unit cell domain is defined to seek a proper material layout for the host region of the resonators. Given the sensitivity of the frequency domain, the optimisation process is effectively regulated through the utilisation of both a Helmholtz filter and a projection method. It is found that considerable improvements of the resonator quality factor can be obtained through this optimisation process.<\/jats:p>","DOI":"10.1007\/s00366-024-02068-x","type":"journal-article","created":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T08:11:40Z","timestamp":1732003900000},"page":"1225-1240","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Concept for a geometry-insensitive high-field magnetic resonance detector"],"prefix":"10.1007","volume":"41","author":[{"given":"Khai","family":"Chau-Nguyen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vlad","family":"Badilita","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jan G.","family":"Korvink","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,11,19]]},"reference":[{"issue":"2","key":"2068_CR1","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1016\/j.jmr.2011.08.005","volume":"213","author":"D Hoult","year":"2011","unstructured":"Hoult D (2011) The principle of reciprocity. 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