{'fraction_non_alphanumeric': 0.012062726176115802, 'fraction_numerical': 0.0, 'mean_word_length': 5.80327868852459, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Fabrication of optical microstructures through fractional Talbot imaging

Interference in the Fresnel regime of periodic structures creates a wide variety of intricate diffraction patterns. The diffraction patterns from both amplitude and phase gratings can bear a strong resemblance to the grating itself, or have much more complex structures. In this paper, we discuss a general approach for using interference patterns from amplitude gratings for lithographic fabrication of optical microstructures. We address the generation of the interference patterns from the standpoint of Talbot self-imaging. This approach enables the realization of complex optical structures with a single exposure in an appropriate fractional Talbot plane. Design approaches are discussed, and both theoretical and experimental results are presented.