  We introduce a universal method to optically induce multiperiodic photonic
complex superstructures bearing two-dimensional (2D) refractive index
modulations over several centimeters of elongation. These superstructures
result from the accomplished superposition of 2D fundamental periodic
structures. To find the specific sets of fundamentals, we combine particular
spatial frequencies of the respective Fourier series expansions, which enables
us to use nondiffracting beams in the experiment showing periodic 2D intensity
modulation in order to successively develop the desired multiperiodic
structures. We present the generation of 2D photonic staircase, hexagonal wire
mesh and ratchet structures, whose succeeded generation is confirmed by phase
resolving methods using digital-holographic techniques to detect the induced
refractive index pattern.
