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how to determine the value of six component in fiber modes- eigenvalue equation

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opticfibering

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i have problem on fiber modes. in the fiber modes, there is eigenvalues equation, the question is determine the value of 6 components （Eρ,EΦ, Hρ,HΦ,Ez,Hz) if it is nonzero, when m>0, consequently it shows fiber modes become hybrid.i have problem on fiber modes. in the fiber modes, there is eigenvalues equation, the question is determine the value of 6 components （Eρ,Ephi, Hρ,Hphi,Ez,Hz) if it is nonzero, when m>0, consequently it shows fiber modes become hybrid.

any idea??

thank you
 

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