An electrodynamic compression driver is defined that contains a compression chamber assembly partially bounded by an annular diaphragm. The compression chamber assembly has an annular axisymmetric geometry with a single exit for acoustic radiation. The chamber geometry is further defined such that only the zero-hertz mode of acoustic coupling is supported, allowing the use of a lumped parameter model for analysis of the acoustic coupling of diaphragm and compression chamber. The lumped parameter model is integrated with eigenmode analysis of diaphragm modes and characterization of the cross-coupling between diaphragm and compression chamber. The result is more rapid computation of how to control mechanical modes in the annular diaphragm so that they benefit the compression driver's acoustic output. Embodiments of compression chamber and diaphragms with geometry that facilitate modal control are provided.