Patent ID: 11916349
Assignee: SHANXI UNIVERSITY
Field: Optics (Instruments)
Classification: CPC H  G | IPC G  H

Claim 8:
9. The method for measuring an thermal load caused by ETU in a laser gain crystal according to claim 5, wherein the obtaining individual ABCD transfer matrices of the laser gain crystal on the tangential plane and the sagittal plane based on the thermal focal length on the tangential plane, the thermal focal length on the sagittal plane, and the cavity parameters specifically comprises:
obtaining the ABCD transfer matrix, (
    
      
        
          
            A
            t
          
        
        
          
            B
            t
          
        
      
      
        
          
            C
            t
          
        
        
          
            D
            t
          
        
      
    
    )
  
   

 of the laser gain crystal on the tangential plane based on the thermal focal length on the tangential plane and the cavity parameters by using the formula, (
      
        
          
            
              A
              t
            
          
          
            
              B
              t
            
          
        
        
          
            
              C
              t
            
          
          
            
              D
              t
            
          
        
      
      )
    
    =
    
      
        (
        
          
            
              
                a
                t
              
            
            
              
                b
                t
              
            
          
          
            
              
                c
                t
              
            
            
              
                d
                t
              
            
          
        
        )
      
      ⁢
      
        (
        
          
            
              1
            
            
              0
            
          
          
            
              
                -
                
                  1
                  
                    f
                    
                      t
                      ⁡
                      
                        (
                        thermal
                        )
                      
                    
                  
                
              
            
            
              1
            
          
        
        )
      
    
  
  ;

 and
obtaining the ABCD transfer matrix, (
    
      
        
          
            A
            s
          
        
        
          
            B
            s
          
        
      
      
        
          
            C
            s
          
        
        
          
            D
            s
          
        
      
    
    )
  
   

 of the laser gain crystal on the sagittal plane based on the thermal focal length on the sagittal plane and the cavity parameters by using the formula, (
      
        
          
            
              A
              s
            
          
          
            
              B
              s
            
          
        
        
          
            
              C
              s
            
          
          
            
              D
              s
            
          
        
      
      )
    
    =
    
      
        (
        
          
            
              
                a
                s
              
            
            
              
                b
                s
              
            
          
          
            
              
                c
                s
              
            
            
              
                d
                s
              
            
          
        
        )
      
      ⁢
      
        (
        
          
            
              1
            
            
              0
            
          
          
            
              
                -
                
                  1
                  
                    f
                    
                      s
                      ⁡
                      
                        (
                        thermal
                        )
                      
                    
                  
                
              
            
            
              1
            
          
        
        )
      
    
  
  ,

 wherein, (
    
      
        
          
            A
            t
          
        
        
          
            B
            t
          
        
      
      
        
          
            C
            t
          
        
        
          
            D
            t
          
        
      
    
    )
  
   

 represents the ABCD transfer matrix of the laser gain crystal on the tangential plane,, (
    
      
        
          
            A
            s
          
        
        
          
            B
            s
          
        
      
      
        
          
            C
            s
          
        
        
          
            D
            s
          
        
      
    
    )
  
   

 represents the ABCD transfer matrix of the laser gain crystal on the sagittal plane, ft(thermal) represents the thermal focal length on the tangential plane of the laser gain crystal fs(thermal) represents the thermal focal length on the sagittal plane of the laser gain crystal,, (
    
      
        
          
            a
            t
          
        
        
          
            b
            t
          
        
      
      
        
          
            c
            t
          
        
        
          
            d
            t
          
        
      
    
    )
  
   

 is the expression for the remaining optical transmission matrices on the tangential plane; and, (
    
      
        
          
            a
            s
          
        
        
          
            b
            s
          
        
      
      
        
          
            c
            s
          
        
        
          
            d
            s
          
        
      
    
    )
  
   

 is the expression for the remaining optical transmission matrices on the sagittal plane.