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An amplifying optical fiber includes an inner core, an inner cladding, a depressed trench, and an outer cladding (e.g., an outer optical cladding). Typically, the inner core includes a main matrix (e.g., silica-based) doped with at least one rare earth element. The depressed trench typically has a volume integral V13 of between about −2200×10−3 μm2 and −1600×10−3 μm2. Exemplary embodiments of the amplifying optical fiber are suitable for use in a compact configuration and high power applications.