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We discuss the observational properties of pulsar wind nebulae (PWNe) linkingthem to the injected (at the termination shock) electron spectral energydistribution and parameters of pulsar magnetospheres. In particular, we (1)present spatially-resolved Chandra ACIS spectral maps of twelve PWNe andmeasure the slopes of the uncooled PWN spectra just downstream of thetermination shock obtained from these maps, (2) consider the connectionsbetween PWN morphologies and predictions of the magnetospheric emission modelsand (3) discuss the limits on the maximum energies of particles in PWNe fromX-ray and gamma-ray observations.

Toward understanding the physical underpinnings of spatial and spectral morphologies of pulsar wind nebulae