An apparatus is disclosed for a double-mode surface-acoustic-wave (SAW) filter with apodization. In example aspects, the apparatus includes a double-mode surface-acoustic-wave filter that includes multiple interdigital transducers having multiple fingers. An overlap region of fingers extending from opposite busbars establishes an aperture of the double-mode surface-acoustic-wave filter. The aperture forms an apodized structure across at least part of the double-mode surface-acoustic-wave filter. The multiple interdigital transducers include first and second interdigital transducers. The first interdigital transducer includes a first portion of the apodized structure. The second interdigital transducer includes a second portion of the apodized structure different from the first portion of the apodized structure of the first interdigital transducer. A transition region overlays a border between the first interdigital transducer and the second interdigital transducer. The transition region includes a transition portion of the apodized structure with the transition portion having a non-vanishing slope.