  We present a new, single step approach for generating a hexagonal lattice
wave-field with a gradient local basis structure. We incorporate this by
coherently superposing two (or more) hexagonal lattice wave-fields which differ
in their basis structures. The basis of the resultant lattice wave-field is
highly dependent on the relative strengths of constituent wave-fields and a
desired spatial modulation of basis structure is thus obtained by controlling
the spatial modulation of relative strengths of constituent wave-fields. The
experimental realization of gradient lattice is achieved by using a phase only
spatial light modulator (SLM) in an optical 4f Fourier filter setup where the
SLM is displayed with numerically calculated gradient phase mask. The presented
method is wavelength independent and is completely scalable making it very
promising for micro-fabrication of corresponding structures.

Optics