一般情况下一维三原子链的求解及其色散关系  

Solution and Dispersion Relationship of One-dimensional Triatomic Chain in General

作　　者：成泓宣 胡建民[1] 王月媛 牛丽[1] CHENG Hongxuan;HU Jianmin;WANG Yueyuan;NIU Li(School of Physics and Electronic Engineering,Harbin Normal University,Harbin,Heilongjiang 150025)

机构地区：[1]哈尔滨师范大学物理与电子工程学院,黑龙江哈尔滨150025

出　　处：《物理通报》2024年第3期14-17,共4页Physics Bulletin

基　　金：黑龙江省自然科学基金项目,项目编号:LH2019A019;哈尔滨师范大学研究生培养质量提升工程项目;哈尔滨师范大学高等教育教学改革研究项目,项目编号:XJGYW2022003;混合式教学模式改革试点项目资助。

摘　　要：求解一般情况下一维三原子链的色散关系,讨论恢复力系数对色散关系的影响规律.研究结果表明,一般情况下一维三原子链不同的原子间恢复力系数对各支格波的频率、频谱宽度以及频率禁带宽度的影响规律均表现出不同特点,可实现对频率禁带宽度的精细调节.本文的相关研究结果是对固体物理学基础理论的深入探讨,可为带通滤波器的工程设计提供理论指导.In this paper,the dispersion relation of one-dimensional three-atom chain in general is solved,and the influence of the coefficient of restoring force on the dispersion relation is discussed.The results show that,in general,the influence of different inter-atomic resilience coefficients of one-dimensional three-atom chain on the frequency of each lattice wave,spectrum width and frequency band gap width show different characteristics,and the fine adjustment of the frequency band gap width can be realized.The relevant research results of this paper are in-depth discussions on the basic theory of solid-state physics,which can provide theoretical guidance for the engineering design of bandpass filters.

关 键 词：固体物理学 一维三原子链 色散关系 恢复力系数 

分 类 号：O562[理学—原子与分子物理]