An ultra-high power fiber laser system includes a single-piece fiber booster configured with fiber and straight short rod fiber portions which have in common a core configured with a numerical aperture≧0.1. The rod fiber portion has a length≦a few tens of centimeters and has a frustoconical cross-section expanding from the uniformly configured fiber portion. The core extending along the fiber portion supports a single mode (SM) or very low number of HOMs, whereas the large-diameter end of the frustoconical core portion supports a fundamental mode and high order multiple modes. The disclosed booster is energized by a pump source configured to emit pump light with such a density that while amplification of the fundamental mode continues in the central area of the core, a peripheral non-overlapped area of the core is bleached. The disclosed booster emits signal light in substantially a fundamental mode.