We consider, in the frame of long-wavelength Heisenberg model, a simple magnetic device consisting of two dangling side stubs grafted at the same site along a waveguide. This simple structure is designed to obtain bound in continuum (BIC) modes, magnonic induced transparency (MIT) and magnonic induced absorption (MIA), the analogues of electromagnetic induced transparency (EIT) and absorption (EIA) resonances respectively. By detuning the lengths of the two stubs, a resonance can be squeezed between two transmission zeros induced by the two resonators. We give detailed analytical expressions for the transmission and reflection coefficients as well as the absorption coefficient of the whole structure. A sharp peak with high Q factor is found as the consequence of the constructive interference of the waves in the two stubs. For some specific detuning values, the Q factor may reach infinity giving rise to the so-called bound in continuum state. Also, we give several explicit expressions for other physical characteristics, e.g., the transmission function close to the resonance, the position, the width and the Fano parameters of the resonances as a function of the difference between the lengths of the stubs. The reported analytical results are obtained by means of a Green’s function method. These results should have important consequences for designing a selecting or rejecting magnon filter.

在长波长海森堡模型的框架中，我们考虑一个简单的磁性装置，该装置由两个悬垂的侧枝接在波导的同一位置上组成。这种简单的结构旨在获得连续谱（BIC）模式，磁感应强度（MIT）和磁感应吸收（MIA），电磁感应透明（EIT）和吸收（EIA）共振的类似物。通过使两个短截线的长度失谐，可以在两个谐振器引起的两个传输零之间压缩谐振。我们给出了整个结构的透射和反射系数以及吸收系数的详细解析表达式。由于两个桩中波的相长干涉，发现具有高Q因子的尖峰。对于某些特定的失谐值，Q因子可能会达到无穷大，从而导致所谓的连续状态约束。此外，我们还给出了其他物理特性的一些明确表达式，例如，接近短管的传递函数，短管的长度之间的差的函数，谐振的位置，宽度和Fano参数。所报告的分析结果是通过格林函数方法获得的。这些结果将对设计选择或拒绝磁振滤波器产生重要影响。谐振的宽度和Fano参数是短截线长度之间差异的函数。所报告的分析结果是通过格林函数方法获得的。这些结果将对设计选择或拒绝磁振滤波器产生重要影响。谐振的宽度和Fano参数是短截线长度之间差异的函数。所报告的分析结果是通过格林函数方法获得的。这些结果将对设计选择或拒绝磁振滤波器产生重要影响。