%0 Journal Article %T Reciprocity and the scattering matrix of waveguide modes %A Guro K. Svendsen %A Magnus W. Haakestad %A Johannes Skaar %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevA.87.013838 %X The implications of the Lorentz reciprocity theorem for a scatterer connected to waveguides with arbitrary modes, including degenerate, evanescent, and complex modes, are discussed. In general it turns out that a matrix $CS$ is symmetric, where $C$ is the matrix of generalized orthogonality coefficients, and $S$ is the scattering matrix. Examples are given, including a scatterer surrounded by waveguides or free space, and discontinuities of waveguides. %U http://arxiv.org/abs/1301.2458v1