Patent ID: 11927660
Assignee: FORSCHUNGSZENTRUM JüLICH GMBH
Field: Measurement (Instruments)
Classification: CPC G | IPC G

Claim 7:
8. The method according to claim 7, wherein the second coefficients of the spherical harmonics {circumflex over (f)}tmg result according to, f
      ^
    
    lm
    g
  
  =
  
    
      e
      
        -
        
          im
          ⁡
          
            (
            
              γ
              +
              
                π
                /
                2
              
            
            )
          
        
      
    
    ⁢
    
      
        ∑
        
          p
          =
          
            -
            l
          
        
        l
      
      ⁢
      
        
      
      ⁢
      
        
          e
          
            -
            
              ip
              ⁡
              
                (
                
                  α
                  +
                  
                    π
                    /
                    2
                  
                
                )
              
            
          
        
        ⁢
        
          
            f
            ^
          
          lp
        
        ⁢
        
          
            ∑
            
              k
              =
              
                -
                l
              
            
            l
          
          ⁢
          
            
              e
              
                -
                
                  ik
                  ⁡
                  
                    (
                    
                      β
                      +
                      π
                    
                    )
                  
                
              
            
            ⁢
            
              
                P
                l
                pk
              
              ⁡
              
                (
                0
                )
              
            
            ⁢
            
              
                P
                l
                km
              
              ⁡
              
                (
                0
                )
              
            
          
        
      
    
  

from the first coefficients of the spherical harmonics {circumflex over (f)}tm, wherein the angles α, β and γ refer to Euler angles in a ZYZ convention, Plkm(0) refer to generalized associated Legendre polynomials, and the angles α, β and γ are calculated by the optimization, min
    
      α
      ,
      β
      ,
      γ
    
  
  ⁢
  
    
      (
      
        
          ∑
          
            l
            =
            1
          
          
            l
            max
          
        
        ⁢
        
          
        
        ⁢
        
          
            ∑
            
              m
              =
              0
            
            l
          
          ⁢
          
            
          
          ⁢
          
            
              
              
                
                  
                    f
                    ^
                  
                  lm
                  g
                
                -
                
                  
                    f
                    ^
                  
                  lm
                
              
              
            
            2
          
        
      
      )
    
    .