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The author numerically conducted micromagnetic modeling to optimize the shapes of patterned magnetic thin-film elements applicable to double-contact gigahertz-frequency-range nano-oscillators. Spin waves emitted from one of two foci in the optimized shapes of nanoscale elements can be collected in phase at the other focal point via coherent and constructive interference of all the spin waves propagating directly between the two foci and reflected at the different boundary positions of the elements. This work provides promising ways to design the shapes of patterned magnetic thin films with in-plane and out-of-plane magnetizations applicable to phase-locked gigahertz-frequency-range nanooscillators with optimized spin-wave coupling.