Very interesting Tony!
The only thing I can wonder about is your using an aluminium tube to house your magnets. Did you want to use only the ends of the magnets? Because aluminium and magnetic flux repel one another. The ends of your composite magnet will see the greatest flux concentration. It may be the method behind your madness. Because you have done quite a lot of research in the rest of this design.
Among other things I design loudspeakers for a living. Working as a consultant for a number of different companies. I do a lot of design work with various types of magnets for designing woofers, and tweeters of various sizes and shapes.

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