Arbitrarily accurate narrowband composite pulse sequences

Narrowband composite pulse sequences containing an arbitrary number N of identical pulses are presented. The composite phases are given by a very simple analytic formula and the transition probability is merely sin2N(A/2), where A is the pulse area. These narrowband sequences can be made accurate to any order with respect to variations in A for sufficiently many constituent pulses, i.e., excitation can be suppressed below any desired value for any pulse area but π.