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Theoretical and computational analysis of the quantum radar cross section for simple geometrical targets

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Abstract

The concept of the quantum radar cross section (QRCS) has generated interest due to its promising feature of enhanced side lobe target visibility in comparison to the classical radar cross section. Researchers have simulated the QRCS for very limited geometries and even developed approximations to reduce the computational complexity of the simulations. This paper develops an alternate theoretical framework for calculating the QRCS. This new framework yields an alternative form of the QRCS expression in terms of Fourier transforms. This formulation is much easier to work with mathematically and allows one to derive analytical solutions for various geometries, which provides an explanation for the aforementioned sidelobe advantage. We also verify the resulting equations by comparing with numerical simulations, as well as provide an error analysis of these simulations to ensure the accuracy of the results. Comparison of our simulation results with the analytical solutions reveal that they agree with one another extremely well.

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Notes

  1. It has been discovered that the expression for the QRCS presented in [2] was missing a factor of 2. Thus the coefficient of \(2\pi \) has been changed to \(4\pi \) in Eq. (1).

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Acknowledgements

We thank Dr. Kyle Gallagher for providing his insight and many thought provoking conversations which has helped greatly in developing the ideas presented in this paper.

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Authors and Affiliations

  1. Department of Electrical Engineering, The Pennsylvania State University, 202 Electrical Engineering East, University Park, PA, 16802, USA

    Matthew J. Brandsema & Ram M. Narayanan

  2. Naval Research Laboratory, 4555 Overlook Avenue SW, Washington, DC, 20375, USA

    Marco Lanzagorta

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  1. Matthew J. Brandsema
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  2. Ram M. Narayanan
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  3. Marco Lanzagorta
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Correspondence to Ram M. Narayanan.

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Brandsema, M.J., Narayanan, R.M. & Lanzagorta, M. Theoretical and computational analysis of the quantum radar cross section for simple geometrical targets. Quantum Inf Process 16, 32 (2017). https://doi.org/10.1007/s11128-016-1494-6

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