In this paper, the behavior of light within a double stage developed add-drop ring resonator called a double Vernier Panda-ring resonator (DVPR) is investigated using the signal flow graph technique in the Z-domain and Mason’s gain rule. The system included a double stage of add-drop ring resonators that each add-drop ring is attached to two small lateral resonators. The light transmission through the DVPR system is studied and the system responses analyzed in terms of the fundamental physical properties such as the free spectral range (FSR), structural dispersion, group delay, finesse, Q-factor and resonant bandwidth. Based on the coupling strength between the add-drop rings and the small lateral resonators (indirect couplers), different values of extended FSR from 64 nm to 90 nm were realized in the wavelength region of 1.4–1.$7\mathrm{\mu }\mathrm{m}$. Results analyzed for four values of indirect coupling strengths and the optimum layout was determined, which led to realize of a FWHM as narrow as 0.47 nm, the extended FSR of 81 nm for the center wavelength of 1535 nm, the structural dispersion of 6.0 fs/pm and a group delay of 3.9 ps. The superiority of DVPR design rather than the conventional Vernier ring-based filter is in achieving several values for extended FSRs, which provides different optical communication channels. These characteristics of our proposed structure ensure the tuning of optical communication channels by means of an optical device, which is desirable in the optical communication networks

在本文中，使用Z域中的信号流图技术和梅森增益规则，研究了称为双游标熊猫环谐振器（DVPR）的双级开发的分插环谐振器中的光的行为。该系统包括一个双级分插环谐振器，每个分插环都连接到两个小型横向谐振器。研究了通过DVPR系统的光传输，并根据基本物理特性（例如，自由光谱范围（FSR），结构色散，群时延，精细度，Q因子和谐振带宽）分析了系统响应。根据分插环与小型横向谐振器（间接耦合器）之间的耦合强度，可以在1.4-1的波长范围内实现从64 nm到90 nm的不同扩展FSR值。$7\mathrm{\mu }\mathrm{米}$。分析了四个间接耦合强度值的结果，并确定了最佳布局，从而实现了FWHM窄至0.47 nm，中心波长1535 nm的扩展FSR为81 nm，结构色散为6.0 fs / pm，群延迟为3.9 ps。DVPR设计优于传统的基于Vernier环的滤波器的优势在于可为扩展的FSR实现多个值，这些FSR提供了不同的光通信通道。我们提出的结构的这些特征确保了借助于光学设备对光学通信信道的调谐，这在光学通信网络中是理想的