In this paper we propose a bond graph formulation of interdomain coupling extending the symplectic gyrator proposed in the so-called generalized or thermodynamic bond graph formalism. Therefore we use as power and energy variables exterior differentiable k-forms on the Euclidean space. The bonds and power variables are of two types: the first type represents the energy flows inside a domain Ω of the Euclidean space and the second type represent the energy flows through the boundary {partial deriv}Ω of the domain. It will be shown that the interdomain coupling may be represented as a 3-port power continuous element, called Stokes-Dirac Junction Structure, whose constitutive relation is defined using solely the exterior derivative of k-forms. This general result is applied to the examples of a transmission line, the electromagnetic field and the vibrating string.
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