Simple Wave-Optical Superpositions as Prime Number Sieves.

@article{Petersen2019SimpleWS,
  title={Simple Wave-Optical Superpositions as Prime Number Sieves.},
  author={T. Petersen and M. {\vC}eko and I. Svalbe and M. J. Morgan and A. Bishop and D. Paganin},
  journal={Physical review letters},
  year={2019},
  volume={122 9},
  pages={
          090201
        }
}
  • T. Petersen, M. Čeko, +3 authors D. Paganin
  • Published 2019
  • Physics, Medicine
  • Physical review letters
  • We encode the sequence of prime numbers into simple superpositions of identical waves, mimicking the archetypal prime number sieve of Eratosthenes. The primes are identified as zeros accompanied by phase singularities in a physically generated wave field for integer valued momenta. Similarly, primes are encoded in the diffraction pattern from a simple single aperture and in the harmonics of a single vibrating resonator. Further, diffraction physics connections to number theory reveal how to… CONTINUE READING

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