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Radio Frequency coil
Presented	by		
Darshan	K	S
Radio Frequency coil 
•  Radiofrequency coils (RF coils) are the "antenna" of the MRI system,
broadcasting the RF signal to the patient and / or receiving the return signal
•  Types of RF coil
•  Volume coil
•  Surface coil
•  Frequency formula
		
f = ​1/2 𝜋√⁠ 𝐿 𝐶  
d	
RF coils 
=	
d	=	
d	=	
d	=	
d	=	
d	=	
d	=	
d	=	
.	
d	=	
d	=	
d	=	
d	=	
d	=	
d	=	
d	=	
d	=	
.	
Fig	1:	Biot	Savart	hold	good,	for	low	frequencies		
and	region	close	to	coil	
•  Generated	magneCc	field	(B-field	)	can	be	calculated	
by	the	law	of	‘Biot-Savart’	equaCon			
•  dB	=	​ 𝜇0 /4 𝜋  	​ 𝐼 𝑑𝑙∗ 𝑟/|𝑟|^3 
Design Parameters 
Design		
•  Volume coil 1.5Tesla(1.5MHz)
Ø Coil radius – 1.6cm
Ø Leg length - 2.75cm
Ø Leg width – 0.5cm
Ø Seg width – 10.05cm
Ø Seg length - 1.26cm
•  8 Rung
•  fo = 63.8MHz (1.5 Tesla)
	
Fig:	Sample	birdcage	coil		
Design
•  Surface coil
Ø  N=1
Ø  Loop Diameter =2.6cm
Ø  Inductance
RF Coils
Fig	1:	Birdcage	coil	
Fig	2:	Surface	loop	
Fig	3:	Phased	array	coil	
Fig:	Birdcage	coil	at	63.8MHz		 Fig:	Surface	coil	at	405kHz		 Fig:	Array	coil	resonance	at	405kHz	
In-house	built	coils		
Solenoid	coil	working	at	different	field	frequency	
Fig:	Earth	field,	1.6kHz	 Fig:	4.5mT,	215kHz	 Fig:	9.5mT,	405kHz
HFSS Design steps
•  	Modelling		
•  	Assigning	boundaries	
•  	ExcitaCon		
•  	Mesh	operaCon	
•  	Analysis		
•  OpCmetrics	
•  RadiaCon
Wrist Phantom:
Single	loop		
Spiral	coil
H-Field at XY Plane
Wrist model: Spiral lumped
Coil characterizaBon using NA E5063A
Fig:	 surface	 coil	 of	 loop	 inner	
diameter=13cm	is	divided	into		four	
break	 point	 at	 each	 point	 	 48pF	 is	
placed	 to	 get	 resonance	 at	
64.54MHz	
Fig	:		Na-23	surface	coil	of	loop	inner	
diameter=12cm	is	divided		into	four	
break	 point	 at	 each	 point	 470pF	 is	
placed	 and	 the	 pointed	 red	 and	
yellow	 arrow	 indicaCng	 the	 tuning	
and	 matching	 circuit	 to	 get	
resonance	at	105.34MHz
Frequency response of the coil 
Fig: Assembled four channel wrist coil	
Fig:		Interface	solenoid	coil	to	the	network	analyzer	to	validate		
the	working	frequency.	Coil	resonaCng	at	215	kHz	with	a	gain	24dB
Experimental setup for coil characterizaBon
Figure	1:	Experimental	setup	for	AF	coil	characterizaCon	 Figure	2:	AF	coil		
Data 1
0 1000 2000 3000
0
5
10
15
Frequency in Hz
Magneticfield
inutesla
Demo: coil characterizaBon using NA
•  A	magneCc	field	passing	through	the	probe	loop	generates	a	voltage	
•  According	to	Faradays	law,	which	states	that	the	induced	voltage	is		
					proporConal	to	the	rate	of	change	of	magneCc	flux	through	a	circuit	
					loop	
	
•  At	very	low	frequencies,	a	voltage	would	be	induced	directly	in	the		
					internal	loop	conductor	
	
•  At	high	frequency,	a	voltage	is	then	induced	in	the	outer	sheath	loop,		
					and	this	appears	across	the	sheath	gap
Radio frequency amplifier
•  RF	amplifier	:	low	level	input	signal	up	from	milli-wac	range	to	a	level	
high	level	output	signal					
	
Element	
Trap	
circuit	
with	diode	
RF	amp	
Surface	loop	coil
•  	RFA	circuit	level	schemaCc,	amplifier	
stage	consists	of	
•  	Input/output	Matching	network:	
responsible	for	matching	the	system	50	
ohm	impedance	with	the	low	impedances	
of	the	RF	transistors	for	maximum	power	
transfer.	
•  	Coupling	and	decoupling	component:	
Transfer	the	RF	and	DC	energy	in	the	
appropriate	direcCons		
•  	Transistor:	Amplifies	the	RF	signal	
hcp://www.cpcamps.com/introducCon-to-nmr-mri-
amplifiers.html

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