Zebra patterns (zebras) play an important role in the plasma diagnostics during solar flares. Considering their double plasma resonance (DPR) model, we present an improved method for the determination of the gyro-harmonic numbers of the zebra stripes that are essential in determining the electron density and magnetic field strength in zebra sources. Furthermore, we present the magnetic field and density spatial scales in zebra sources. Compared to the previous method, we change the basic assumption of the method. Namely, the assumption that the ratio $R={L_{\mathrm{bh}}} / {L_{\mathrm{nh}}}$ ( $L_{\mathrm{bh}}$ and $L_{\mathrm{nh}}$ are the magnetic field and density scales) is constant in the whole zebra source is changed to its more generalized form, where the ratio $R$ is a linear function. Using this improved method, first, we determine the gyro-harmonic numbers of several observed zebras and variations of the spatial scales. Then, knowing the gyro-harmonic numbers of zebra stripes, we compute the electron plasma density and magnetic field strength in zebra sources. It is shown that in all cases the gyro-harmonic numbers of zebra stripes are quite high (> ≈50). This significantly reduces the magnetic field strength and thus increases the plasma beta parameter in zebra sources. The change in the ratio of the magnetic field and density scales along the axis of the radiating tube for the studied zebras is within ± 5 percent. For zebras at high frequencies, this ratio increases with the height, and for zebras at lower frequencies it decreases. The ratio of the magnetic field and density scales across the radiating tube is close to 1 and varies in the range 0.87–1.20.

中文翻译：

---

斑马纹射电源中的磁场、电子密度及其空间尺度

斑马图案（斑马）在太阳耀斑期间的等离子体诊断中发挥着重要作用。考虑到它们的双等离子体共振 (DPR) 模型，我们提出了一种改进的方法来确定斑马条纹的陀螺谐波数，这对于确定斑马源中的电子密度和磁场强度至关重要。此外，我们展示了斑马源中的磁场和密度空间尺度。与之前的方法相比，我们改变了方法的基本假设。即假设 $R={L_{\mathrm{bh}}} / {L_{\mathrm{nh}}}$ ( $L_{\mathrm{bh}}$ 和 $L_{\mathrm{ nh}}$ 是磁场和密度标度）在整个斑马源中是恒定的，变为更广义的形式，其中比率 $R$ 是一个线性函数。使用这种改进的方法，首先，我们确定了几个观察到的斑马的陀螺谐波数和空间尺度的变化。然后，知道斑马条纹的陀螺谐波数，我们计算斑马源中的电子等离子体密度和磁场强度。结果表明，在所有情况下，斑马条纹的陀螺谐波数都非常高（> ≈50）。这显着降低了磁场强度，从而增加了斑马源中的等离子体β参数。所研究的斑马沿辐射管轴的磁场和密度比例的变化在± 5% 以内。对于高频的斑马，这个比率随着高度的增加而增加，而对于低频的斑马，它会减小。辐射管上的磁场和密度比例接近于 1，并在 0.87-1.20 的范围内变化。