<p>This is the pre-review draft of the first of two papers submitted to Journal of Lightwave Technology, where we propose and apply a methodology for the analysis of the loss in tube lattice fibers (TLFs) based on the azimuthal Fourier decomposition (AFD) of the fiber’s modes along the perimeters of the tubes composing the fiber cladding. This technique combined with the coupled mode theory constitutes an effective approach for gaining insight in the waveguiding mechanism and for additional loss analysis due to fiber non-idealities. In this part I we describe the approach and apply it to loss analysis of ideal TLFs. The approach is then applied to the analysis of tube thickness variation effects in the part II.</p>