The concept of device equivalence is introduced, In equivalent devices
, the light propagation can be described by identically evolving modal
expansions, resulting in identical power transfer ratios. By first ap
plying this concept to a z-invariant structure with a low refractive-i
ndex contrast it is shown how a normalized coordinate space can be def
ined in which equivalent structures have exactly the same geometry, Su
bsequently it is shown how this normalized coordinate space can be def
ined for z-variant integrated optical devices, again provided that the
lateral refractive-index contrast is small, This normalization makes
it possible to perform numerical device simulations in normalized coor
dinate space, the results being applicable to a large set of equivalen
t devices, Furthermore, starting from a known design, it simplifies re
designing that device for use at another wavelength or using other mat
erials significantly, the resulting device being equivalent to the ori
ginal one.