A continuous approach to Floquet theory for pulse-sequence optimization in solid-state NMR

• URL: http://arxiv.org/abs/2207.05522v1
• Date: Tue, 12 Jul 2022 13:26:44 GMT
• Title: A continuous approach to Floquet theory for pulse-sequence optimization in solid-state NMR
• Authors: Mat\'ias Ch\'avez and Matthias Ernst
• Abstract summary: We present a framework that uses a continuous frequency space to describe and design solid-state NMR experiments. The approach is similar to the well established Floquet treatment for NMR, but is not restricted to periodic Hamiltonians.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We present a framework that uses a continuous frequency space to describe and design solid-state NMR experiments. The approach is similar to the well established Floquet treatment for NMR, but is not restricted to periodic Hamiltonians and allows the design of experiments in a reverse fashion. The framework is based on perturbation theory on a continuous Fourier space, which leads to effective, i.e., time-independent, Hamiltonians. It allows the back calculation of the pulse scheme from the desired effective Hamiltonian as a function of spin-system parameters. We show as an example how to back calculate the rf irradiation in the MIRROR experiment from the desired chemical-shift offset behaviour of the sequence.

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