A new method that the equivalent mode field radius can be acquired according to the equivalent matching efficiency method is presented and the equation of the equivalent mode field radius, which is based on the core layer radius, the normalized standing wave parameter and the normalized evanescent wave parameter, is given. Moreover, adopted computer numerical simulation, a mathematical modeling between the equivalent mode field radius and the normalized frequency of fiber is established. Based on this, the equation between the equivalent mode field radius and the normalized frequency is introduced by curve fitting method. The numerical calculation indicates that it has a higher precision. As for weakly guiding optical fiber, referred to the characteristic of the beam propagation factor of diffractive beam of LP 01 mode from its end surface, it was illuminated that the Gaussian approximation for the mode field distribution of LP 01 mode is rational. The characteristic of the field of the Gaussian approximation, which is based on the equivalent mode field radius, is analyzed. The difference between the eigen mode field of LP 01 mode and the field of its Gaussian approximation is discussed. From that, we can draw the conclusion that it is relatively accurate to adopt the equivalent matching efficiency method to obtain the equivalent mode field radius.
This paper researches end diffraction of slab waveguide and then matching efficiency between the far-field and its Gaussian approximate field is analyzed leads to a new definition of divergence half-angle. Finally, why the far-field can be approximated by a Gaussian function is presented according to characteristic of beam propagation factor.
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