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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Characterization of the atmosphere as a random bit-stream generator

Carlos O. Font, David Bonanno, Hunter Long, Blerta Bajramaj, G. C. Gilbreath

Published May 1, 2012• 1 citation
Publisher

Abstract

Characterizing atmospheric turbulence through modeling dates back to the 1960's. For decades scientists have studied how to mitigate the effects of the atmospheric turbulence on communications and imaging systems, but learning how to use those properties of the atmosphere instead of mitigate them raise new challenges. Due to the fact that atmospheric turbulence is inherently a random process, it can be an ideal "key generator" for strongly secure information transfer. The purpose of this effort is to investigate to what extent the atmospheric turbulence can be exploited as a robust random number generator. In this paper we report the progress in characterizing the atmosphere and a random bitstream generator.

DOI
10.1117/12.924826

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Characterizing atmospheric turbulence through modeling dates back to the 1960's. For decades scientists have studied how to mitigate the effects of the atmospheric turbulence on communications and imaging systems, but learning how to use those properties of the atmosphere instead of mitigate them raise new challenges. Due to the fact that atmospheric turbulence is inherently a random process, it can be an ideal "key generator" for strongly secure information transfer. The purpose of this effort is to investigate to what extent the atmospheric turbulence can be exploited as a robust random number generator. In this paper we report the progress in characterizing the atmosphere and a random bitstream generator.
This paper investigates the extent to which atmospheric turbulence can be exploited as a random bit generator. Atmospheric turbulence is considered an inherently random process due to the complex inhomogeneous system composition and its sensitivity to changes in pressure, temperature, humidity, and wind conditions. A self-calibrating Mach-Zehnder interferometer was used to collect phase fluctuations in the temporal domain introduced to an optical beam propagating through the atmosphere. The recorded phase fluctuations were converted into bit streams that were further analyzed in order to search for evidence of randomness. Empirical data and results that characterize the degree of randomness produced in the temporal phase component of an optical wave propagating through the atmosphere are presented.
Random numbers represent a fundamental ingredient for secure communications and numerical simulation as well as to games and in general to Information Science. Physical processes with intrinsic unpredictability may be exploited to generate genuine random numbers. The optical propagation in strong atmospheric turbulence is here taken to this purpose, by observing a laser beam after a 143 km free-space path. In addition, we developed an algorithm to extract the randomness of the beam images at the receiver without post-processing. The numbers passed very selective randomness tests for qualification as genuine random numbers. The extracting algorithm can be easily generalized to random images generated by different physical processes.
We describe an experimental laboratory system that generates and distributes random binary sequence bit streams between two optical terminals (labeled Alice and Bob). The random binary sequence is generated through probing the optical channel of a turbulent atmosphere between the two terminals with coincident laser beams. The two laser beams experience differential phase delays while propagating through the atmospheric optical channel. The differential phase delays are detected and sampled at each terminal to yield raw random bit streams. The random bit streams are processed to remove bit errors and, through privacy amplification, to yield a bit stream known only to Alice and Bob. The same chaotic physical mechanism that provides randomness also provides confidentiality. The laboratory system yielded secret key bit rates of a few bits/second . For external optical channels over longer channel lengths with atmospheric turbulence levels, secret bit rates of 10 s of bits/second are predicted.
Abstract Much scientific work has focused on the generation of random numbers as well as the distribution of said random numbers for use as a cryptographic key. However, emphasis is often placed on one of the two to the exclusion of the other, but both are often simultaneously important. Here we present a simple hybrid free-space link scheme for both the generation and secure distribution of (pseudo-)random numbers between two remote parties, drawing the randomness from the stochastic nature of atmospheric turbulence. The atmosphere is simulated using digital micro-mirror devices for efficient, all-digital control. After outlining one potential algorithm for extracting random numbers based on finding the centre-of-mass (COM) of turbulent beam intensity profiles, the statistics of our experimental COM measurements is studied and found to agree well with the literature. After implementing the scheme in the laboratory, Alice and Bob are able to establish a string of correlated random bits with an 84% fidelity. Finally, we make a simple modification to the original setup in an attempt to thwart the hacking attempts of an eavesdropper, Eve, who has access to the free-space portion of the link. We find that the fidelity between Eve’s key and that of Alice/Bob is 54%, only slightly above the theoretical minimum. Atmospheric turbulence could hence be leveraged as an added security measure, rather than being seen as a drawback.