Development and optimization of multipulse propagators: Applications to homonuclear spin decoupling in solids

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Abstract
We introduce a new class of semi‐windowless pulse sequences for homonuclear decoupling in solids. The development and optimization of the multiple‐pulse sequences relies on the definition of quality factors that reflect the proximity of the created effective Hamiltonian to the desired Hamiltonian. A quality factor based on the average Hamiltonian theory gives a global view of the existing solutions. However, the sequences were optimized using a quality factor based on exact numerical solutions of the Liouville von Neumann equation. The new decoupling sequences are stable over a wide range of coupling constants and chemical shifts.