At first glance, it seems unnecessary to clearly define the the strong mode coupling and weak mode coupling in few mode fiber? However,  the concepts of strong mode coupling in different publishing works seems have different meaning. In [], the author define the strong mode coupling by using the mode coupling coefficient. The larger of the mode coupling coefficient means the stronger of mode coupling. This definition is intuitionistic and has been widely used for analysis the linearly mode coupling for two mode situation. However, for 3mode or more number of modes, one of mode coupling coefficient is obviously not enough to define the strong mode coupling. In [], the authors define the strong mode coupling according to the length of the so-called correlation length. However, is the correlation length parameter enough for defining the strong mode coupling?

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