Wavelength tunable laser beam shaping.

Laser beam shaping by phase-only transformations, often referred to as field mapping, has for a long time been considered wavelength dependent. In this Letter we outline a simple mathematical argument that shows how the problem may be formulated in a wavelength tunable manner, requiring only a minor adjustment in the observation plane. We verify the theoretical prediction by experiment using the example of a Gaussian-to-flattop-beam transformation, and we show that the shaping is valid across a wide range of wavelengths for a single diffractive optical element.

Theory of optimal beam splitting by phase gratings. I. One-dimensional gratings.

We give an analytical basis for the theory of optimal beam splitting by one-dimensional gratings. In particular, we use methods from the calculus of variations to derive analytical expressions for the optimal phase function.

Theory of optimal beam splitting by phase gratings. II. Square and hexagonal gratings.

We use the calculus of variations to give a general theory for finding optimal square and hexagonal phase gratings for doing beam splitting.