Abstract
We demonstrate theoretically how the creation of polarization singularities by the evolution of a fractional nonuniform polarization optical element involves the peculiar mathematics of countably infinite sets in the form of “Hilbert’s Hotel.” Two distinct topological processes can be observed, depending on the structure of the fractional optical element.
© 2017 Optical Society of America
Full Article | PDF ArticleMore Like This
Greg Gbur
Optica 3(3) 222-225 (2016)
B. S. Bhargava Ram, Anurag Sharma, and Paramasivam Senthilkumaran
Opt. Lett. 42(18) 3570-3573 (2017)
Enrique J. Galvez and Behzad Khajavi
J. Opt. Soc. Am. A 34(4) 568-575 (2017)