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We theoretically and experimentally analyze the benefit of hetero-structured cladding in Solid-Core Photonic BandGap fibers so as to increase the loss ratio between high order modes and fundamental mode. This property is applied to the realization of 19-cells core fibers practically single-mode around 1050 nm. When designed to operate in the 4th BandGap, a new design is proposed which permits to obtain mode field diameter of 44 μm whereas, for operation in the 3rd BandGap, a mode field diameter of 33 μm is obtained with 20 cm bending radius. The impact of the shape of hetero-structure on single-mode behavior is discussed.