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The far-field pattern of a simple one-dimensional laser array of emittersradiating into free space is considered. In the path of investigating theinverse problem for their near fields leading to a target beam form,surprisingly we found that the result is successful when the matrix of thecorresponding linear system is not well-scaled. The essence of our numericalobservations is captured by an elegant inequality defining the functional rangeof the optical distance between two neighboring emitters. Our finding canrestrict substantially the parametric space of integrated photonic systems andsimplify significantly the subsequent optimizations.

Judiciously distributing laser emitters to shape the desired far field patterns