There is the theoretical possibility that some astrophysical objects may have large dynamo numbers, generating fields in high modes. The effect of the boundaries is diminished, and it is profitable to consider the fields in terms of the four basic wave modes of the dynamo. Normal incidence and reflection of dynamo waves from boundaries are worked out. Dynamo wave packets are discussed briefly, and a pseudoillustration of the solar dynamo is presented. The purpose of the calculations is to illustrate some of the behavior at large dynamo numbers, to aid in observational recognition.
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E. N. Parker (1971) studied this question.