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When the crack sensor is bonded to the substrate, the radiation patch can move along with the substrate to measure crack, and the resonant frequency of the crack sensor is the resonant frequency of the whole structure. The crack sensor can be seen as a sub-patch with Ls = Lo = 0, and its resonant frequency can be written as f10c = 2(1/((Lr+Lo))).

The resonant frequency f10c of the proposed crack sensor is determined by the total length of the radiation patch (Lr) and the sub-patch (Ls), since the structure of the radiation patch and the sub-patch is symmetrical along the longitudinal direction and the overlapped length between the radiation patch and the covering sub-patch is zero. The resonant frequency of the proposed crack sensor depends on the properties of the substrate and the crack sensor, and the resonant frequency should be smaller than the operating frequency of the transmitter in the system, and it is determined by the high-frequency properties of the substrate and the crack sensor.

For the proposed crack sensor, Lr = (Ls+Lo) = 10 mm, Ls = Lo = 0 mm, therefore the resonant frequency can be calculated as f10c = 2(1/25) = 0.8 GHz. The resonant frequency of the proposed crack sensor is smaller than the operating frequency of the transmitter in the system.

In Ansys HFSS, the engineers can simulate and analyze the influences of the extra-patch on the radiation pattern and the array efficiency. They can also simulate the radiation patterns of the antennas with various sizes of the patch.

In Ansys HFSS, engineers can simulate and analyze the influences of the extra-patch on the radiation pattern and the array efficiency. They can also simulate the radiation patterns of the antennas with various sizes of the patch.

In Ansys HFSS, engineers can simulate radiated field patterns of the antennas on an array substrate with various feeding configurations. They can also simulate the radiation patterns of the antennas on a substrate board with different substrate materials and thicknesses.

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