Abstract
In this chapter, illumination beam shaping is proposed using azimuthal Walsh filters derived from azimuthal Walsh functions, in and around the focal plane of a rotationally symmetric imaging system and studied for finding out self-similar groups and sub-groups for different orders to examine self-similarity existing between their corresponding transverse intensity distributions at the far-field plane. The unique rotational self-similarities observed in 2D intensity distributions at the transverse far-field plane for adjacent orders of azimuthal Walsh filters are also mentioned. High speed spatial light modulators (SLMs) can be successfully used to code and control illumination in and around the tightly focused field to generate these filters.
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I. Bhattacharya, Self-similarity in azimuthal Walsh filters and corresponding far-field diffraction characteristics: a unique study to control tightly focused fields and coupling of light into metamaterials, plasmonic structure and waveguides, in Proceedings of SPIE 11257, Plasmonics in Biology and Medicine (vol. XVII), 2020, pp. 1125717:1-14
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Bhattacharya, I., Hazra, L. (2020). Self-similarity in Transverse Intensity Distributions on the Far-Field Plane of Self-similar Azimuthal Walsh Filters. In: Azimuthal Walsh Filters. Progress in Optical Science and Photonics, vol 10. Springer, Singapore. https://doi.org/10.1007/978-981-15-6099-6_3
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DOI: https://doi.org/10.1007/978-981-15-6099-6_3
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