Patent ID: 11876549
Assignee: GE PRECISION HEALTHCARE LLC
Field: Measurement (Instruments)
Classification: CPC H  G | IPC G  H

Claim 17:
18. The method according to claim 16, wherein the resistance value of the radio-frequency transmitting coil is calculated on the basis of the following equation:, ❘
     "\[LeftBracketingBar]"
    
    
     S
     ⁢
     11
    
    
     ❘
     "\[RightBracketingBar]"
    
   
   =
   
    
     
      
       ❘
       "\[LeftBracketingBar]"
      
      
       
        R
        
         e
         ⁢
         c
        
       
       -
       
        Z
        0
       
      
      
       ❘
       "\[RightBracketingBar]"
      
     
     
      
       ❘
       "\[LeftBracketingBar]"
      
      
       
        R
        
         e
         ⁢
         c
        
       
       +
       
        Z
        0
       
      
      
       ❘
       "\[RightBracketingBar]"
      
     
    
    ·
    
     
      ❘
      "\[LeftBracketingBar]"
     
     
      
       cos
       ⁡
       (
       
        atan
        ⁡
        (
        
         
          
           Z
           0
          
          
           
            R
            ec
           
           +
           
            Z
            0
           
          
         
         ⁢
         
          
           Q
           
            e
            ⁢
            c
           
          
          (
          
           
            
             ω
             a
            
            
             ω
             0
            
           
           -
           
            
             ω
             0
            
            
             ω
             a
            
           
          
          )
         
        
        )
       
       )
      
      
       cos
       ⁡
       (
       
        atan
        ⁡
        (
        
         
          
           Z
           0
          
          
           
            R
            ec
           
           -
           
            Z
            0
           
          
         
         ⁢
         
          
           Q
           
            e
            ⁢
            c
           
          
          (
          
           
            
             ω
             a
            
            
             ω
             0
            
           
           -
           
            
             ω
             0
            
            
             ω
             a
            
           
          
          )
         
        
        )
       
       )
      
     
     
      ❘
      "\[RightBracketingBar]"
     
    
   
  
  ;
 

the parallel resistance value of the radio-frequency transmitting coil and the scanned object is calculated on the basis of the following equation:, ❘
      "\[LeftBracketingBar]"
     
     
      S
      ⁢
      11
     
     
      ❘
      "\[RightBracketingBar]"
     
    
    ′
   
   =
   
    
     
      
       ❘
       "\[LeftBracketingBar]"
      
      
       
        R
        el
       
       -
       
        Z
        0
       
      
      
       ❘
       "\[RightBracketingBar]"
      
     
     
      
       ❘
       "\[LeftBracketingBar]"
      
      
       
        R
        el
       
       +
       
        Z
        0
       
      
      
       ❘
       "\[RightBracketingBar]"
      
     
    
    ·
    
     
      ❘
      "\[LeftBracketingBar]"
     
     
      
       cos
       ⁡
       (
       
        atan
        ⁡
        (
        
         
          
           Z
           0
          
          
           
            R
            el
           
           +
           
            Z
            0
           
          
         
         ⁢
         
          
           Q
           el
          
          (
          
           
            
             ω
             b
            
            
             ω
             0
             ′
            
           
           -
           
            
             ω
             0
             ′
            
            
             ω
             b
            
           
          
          )
         
        
        )
       
       )
      
      
       cos
       ⁡
       (
       
        atan
        ⁡
        (
        
         
          
           Z
           0
          
          
           
            R
            el
           
           -
           
            Z
            0
           
          
         
         ⁢
         
          
           Q
           el
          
          (
          
           
            
             ω
             b
            
            
             ω
             0
             ′
            
           
           -
           
            
             ω
             0
             ′
            
            
             ω
             b
            
           
          
          )
         
        
        )
       
       )
      
     
     
      ❘
      "\[RightBracketingBar]"
     
    
   
  
  ;
 

wherein Rec is the resistance value of the radio-frequency transmitting coil, Rel is the parallel resistance value of the radio-frequency transmitting coil and the scanned object, |S11| is the first input reflection coefficient when an operating frequency of the radio-frequency transmitting coil is ωa, |S11′| is the second input reflection coefficient when the operating frequency of the radio-frequency transmitting coil is ωb, Z0 is the intrinsic impedance of the radio-frequency transmitting link, which is a known value, ω0 is a resonant frequency of the radio-frequency transmitting coil when having no load, ω′0 is a resonant frequency of the radio-frequency transmitting coil when having the scanned object, Qec=RecCecω0, and Qel=RelCelω0, wherein Cec is an equivalent capacitance of the radio-frequency transmitting coil when having no load, and Cel is an equivalent parallel capacitance of the radio-frequency transmitting coil and the scanned object when the radio-frequency transmitting coil has the scanned object.