Analysis of quantum scattering characteristics for a cone illuminated with multiphoton in the remote sensing scene

Abstract

The quantum radar cross sections (QRCS) for the targets are the critical basis for the optimization designs of stealth structures and quantum detection strategy. According to the three-dimensional structure of the conical surface, the one-dimensional Fourier expression of conical multiphoton QRCS in a gradually illuminated area is established using the two-dimensional Fourier expression of QRCS. The advantages of the derived expression in computational complexity are analyzed and verified by simulations. The influence of radius, height, and incident photon numbers on the QRCS for a cone is analyzed. The results show that there are scattering peaks in the center and the direction orthogonal to the side. The scattering peak in the center is proportional to the bottom radius and inversely proportional to the height. In addition, the height mainly affects the side scattering peak, and with the increase in height, the side scattering peak becomes sharp. With the radius increase, the scattering peaks at the center and both sides become sharp. With the increase of incident photon number, the width of scattering main lobe will be narrowed, and the peak difference between main lobe and side lobe will be increased, which indicates that fewer photons are beneficial to the detection of sidelobe, and more photons are beneficial to the detection of the main lobe. This work will help optimize the quantum detection strategy and stealth structure design of the missile and aircraft head, which will provide prior information for research in many fields, such as photonic technology, radar technology, and precision metrology.