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

Matías Chávez; Matthias Ernst

doi:10.1063/5.0109229

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arXiv · 2207.05522

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

Matías Chávez·Matthias Ernst

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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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Matías Chávez, Matthias Ernst. 2022-07-12. A continuous approach to Floquet theory for pulse-sequence optimization in solid-state NMR. https://doi.org/10.1063/5.0109229

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