## 1 Introduction  
In the past few decades, detectors based on microchannel plates (MCP) and position sensitive anodes have been widely used in neutron detection [1], biomedical imaging [2, 3], X-ray spectroscopic measurement [4], and aerospace [5, 6]. Direct readout is the traditional readout to directly collect the electron cloud emitted from MCP by metal anodes. It arouses the redistribution of secondary electrons on the anode, which results in image instability. Luckily, charge induction readout technology overcomes these problems and also provides significant performance and practical advantages. Different from the direct readout, the charge induction readout has a resistive layer between the MCP and the anode. The electrons fall on the resistive layer, and then the signal is coupled to the anode. Compared with direct readout, charge induction readout can eliminate the secondary electron-mediated charge redistribution noise and avoid the influence of an uneven electrostatic field on the electron movement, so it is beneficial to improve the image linearity. In addition, the resistive layer can play the role of electrical and physical isolation, which facilitates the packaging and modularization of the detector. The anode is located outside the vacuum chamber and is easy to replace. There is much research concerning on the MCP imaging detector with a charge induction readout. In 2002, [PERSON] introduced the charge induction readout into a wedge and strip anode (WSA) detector, obtaining similar image resolution to that of direct readout [7]. In 2003, [PERSON] developed an open-faced position-sensitive detector by combining a WSA and charge induction readout for the SPIDER mission. It overcomes the major WSA deficiency of image instability resulting from secondary electron-mediated charge redistribution on the anode [8]. In 2013, [PERSON] applied the charge induction readout technology to an intensifier and combined it with a delay line (DL) anode to form a detector for space and time-correlated single photon counting [9]. In 2015, [PERSON] applied charge induction readout to a curved MCP detector, reducing the influence of MCP curvature on charge cloud size. The resulting imaging detector fulfilled the requirements of the Moon-based EUV camera [10]. In 2020, [PERSON] developed photon-counting imaging for Aurora Observations based on WSA and charge induction [11]. Charge induction readout technology is popular and has been used on various occasions, but there is still a lack of exploration in the case of cross-strip (XS) anode. As the most recent developments of anodes, the XS anode has the advantages of high spatial resolution, good linearity, and low gain requirement [12; 13]. Different from the planar structure of the WSA and DL anodes, the XS anode has two mutually perpendicular anodes. The three-dimensional anode pattern will affect the anode charge distribution in the process of electric field coupling. Therefore, it is necessary to carry out theoretical and simulation research to design detector parameters. Here, a new photon imaging detector combining charge induction readout with an XS anode is developed. This XS detector is expected to achieve the detection of particles (such as photons, ions, neutrons, and electrons) with a good imaging performance. In Section 2, the operation of an XS anode detector with a resistive layer is introduced. Through theoretical research, the sheet resistance and substrate thickness of the resistive layer are given. A three-dimensional finite element model is established, and the anode parameters, including strip electrode width and insulation thickness, are designed from the perspective of optimizing the induced charge distribution on the XS anode and the inter-electrode capacitance between strips. In Section 3, the XS anode is manufactured and the parameters are given. To characterize the detector, a test system is set up. In Section 4, the designed anode is measured, and the small difference between measurement and simulation proves the accuracy of the model.