May 1, 2005
      
                  
        
  Author(s)
  Robert D. McMichael,   Mark D. Stiles
 
       
            
    
    
        Micromagnetic calculations are used to determine the eigenfrequencies and precession patterns of some of the lowest-frequency magnetic normal modes of submicron patterned elements. For a Permalloy-like ellipse, 350 nm 160 nm 5 nm thick in zero field, the