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Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSAPPLSCIENCES))

Abstract

The set of radial and annular Walsh filters can be classified into distinct self-similar groups and subgroups, where members of each subgroup possess self-similar structures or phase sequences. It has been observed that the axial intensity distributions around the focal/image plane are also self-similar when these self-similar radial and annular Walsh filters are used as pupil plane filters. In this chapter we report results of our investigations on the self-similarity in the intensity distributions around the focal/image plane when self-similar radial and annular Walsh filters are used as pupil filters.

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References

  1. Mukherjee P, Hazra LN (2014) Self-similarity in radial Walsh filters and axial intensity distribution in the farfield diffraction pattern. J Opt Soc Am A 31(2):379–387

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  2. Mukherjee P, Hazra LN (2014) Self-similarity in the farfield diffraction patterns of annular Walsh filters. Asian J Phys 23(4):543–560

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Correspondence to Lakshminarayan Hazra .

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Hazra, L., Mukherjee, P. (2018). Self-similarity in Axial Intensity Distributions of Self-similar Walsh Filters. In: Self-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters. SpringerBriefs in Applied Sciences and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-10-2809-0_5

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  • DOI: https://doi.org/10.1007/978-981-10-2809-0_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2808-3

  • Online ISBN: 978-981-10-2809-0

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