A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging Applications

A novel analytical solution for the designing of the birdcage RF coil has been demonstrated in this paper. A new concept of dominant resonance path has been introduced in this paper which is used to identify the specific closed current loop in the birdcage RF coil which is responsible for the domina...

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Main Authors:	Young Cheol Kim, Hyun Deok Kim, Byoung-Ju Yun, Sheikh Faisal Ahmad
Format:	Article
Language:	English
Published:	MDPI AG 2020-03-01
Series:	Applied Sciences
Subjects:	mri system birdcage coil birdcage configurations coil capacitance analytical solution equivalent circuit modelling t-matrix theory 3d-em simulation small volume rf coil
Online Access:	https://www.mdpi.com/2076-3417/10/7/2242

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spelling	doaj-c1d15fe695554e1fbf02614ac8dc03492020-11-25T01:29:03ZengMDPI AGApplied Sciences2076-34172020-03-01107224210.3390/app10072242app10072242A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging ApplicationsYoung Cheol Kim0Hyun Deok Kim1Byoung-Ju Yun2Sheikh Faisal Ahmad3Institute of Advanced Convergence Technology, Kyungpook National University, 80 Daehak-ro, Buk-gu, Daegu 41566, KoreaSchool of Electronics Engineering, College of IT Engineering, Kyungpook National University, 80 Daehak-ro, Buk-gu, Daegu 41566, KoreaSchool of Electronics Engineering, College of IT Engineering, Kyungpook National University, 80 Daehak-ro, Buk-gu, Daegu 41566, KoreaInstitute of Advanced Convergence Technology, Kyungpook National University, 80 Daehak-ro, Buk-gu, Daegu 41566, KoreaA novel analytical solution for the designing of the birdcage RF coil has been demonstrated in this paper. A new concept of dominant resonance path has been introduced in this paper which is used to identify the specific closed current loop in the birdcage RF coil which is responsible for the dominant resonance frequency mode. This concept is used to determine the precise numerical values of the lumped capacitance deployed in the legs and/or end-rings of the birdcage RF coil for its proper operation at the desired resonance frequency. The analytical solution presented in this paper has been established by performing the two-port network based equivalent circuit modeling of the birdcage RF coil. The proposed analytical solution uses T-matrix theory and develops a relationship between the input impedance of the birdcage coil and the impedances of its leg and end-ring segments. The proposed analytical solution provides the information about the resonance frequency spectrum of the birdcage RF coil and solves the issue of its interfacing with external circuits without affecting its resonance characteristics. Based upon the proposed analysis and designing strategy presented in this paper, the low pass, high pass and band pass configurations of the birdcage RF coil were successfully implemented with FPCB (Flexible Printed Circuit board) technique for small volume NMR imaging applications at 1.5 T and 3.0 T MRI system. The results obtained for the implemented birdcage coils using the proposed analysis and designing technique are in closed agreement with already established methods.https://www.mdpi.com/2076-3417/10/7/2242mri systembirdcage coilbirdcage configurationscoil capacitanceanalytical solutionequivalent circuit modellingt-matrix theory3d-em simulationsmall volume rf coil
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Young Cheol Kim Hyun Deok Kim Byoung-Ju Yun Sheikh Faisal Ahmad
spellingShingle	Young Cheol Kim Hyun Deok Kim Byoung-Ju Yun Sheikh Faisal Ahmad A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging Applications Applied Sciences mri system birdcage coil birdcage configurations coil capacitance analytical solution equivalent circuit modelling t-matrix theory 3d-em simulation small volume rf coil
author_facet	Young Cheol Kim Hyun Deok Kim Byoung-Ju Yun Sheikh Faisal Ahmad
author_sort	Young Cheol Kim
title	A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging Applications
title_short	A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging Applications
title_full	A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging Applications
title_fullStr	A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging Applications
title_full_unstemmed	A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging Applications
title_sort	simple analytical solution for the designing of the birdcage rf coil used in nmr imaging applications
publisher	MDPI AG
series	Applied Sciences
issn	2076-3417
publishDate	2020-03-01
description	A novel analytical solution for the designing of the birdcage RF coil has been demonstrated in this paper. A new concept of dominant resonance path has been introduced in this paper which is used to identify the specific closed current loop in the birdcage RF coil which is responsible for the dominant resonance frequency mode. This concept is used to determine the precise numerical values of the lumped capacitance deployed in the legs and/or end-rings of the birdcage RF coil for its proper operation at the desired resonance frequency. The analytical solution presented in this paper has been established by performing the two-port network based equivalent circuit modeling of the birdcage RF coil. The proposed analytical solution uses T-matrix theory and develops a relationship between the input impedance of the birdcage coil and the impedances of its leg and end-ring segments. The proposed analytical solution provides the information about the resonance frequency spectrum of the birdcage RF coil and solves the issue of its interfacing with external circuits without affecting its resonance characteristics. Based upon the proposed analysis and designing strategy presented in this paper, the low pass, high pass and band pass configurations of the birdcage RF coil were successfully implemented with FPCB (Flexible Printed Circuit board) technique for small volume NMR imaging applications at 1.5 T and 3.0 T MRI system. The results obtained for the implemented birdcage coils using the proposed analysis and designing technique are in closed agreement with already established methods.
topic	mri system birdcage coil birdcage configurations coil capacitance analytical solution equivalent circuit modelling t-matrix theory 3d-em simulation small volume rf coil
url	https://www.mdpi.com/2076-3417/10/7/2242
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A Simple Analytical Solution for the Designing of the Birdcage RF Coil Used in NMR Imaging Applications

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