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{| class="wikitable" align="right" |- |<center><img src=https://www0.kfzimg.com/G06/M00/05/E5/p4YBAFqZ632AO-KkAACPrS7YJpQ470_s.jpg width="260"></center> <small>[https://book.kongfz.com/506287/7015429602 来自 孔夫子网 的图片]</small> |} 《'''光电子器件设计建模与仿真'''》，[加] 李洵 著 著，李蔚，陈四海，黄黎蓉 等译 译，出版社： 科学出版社。 科学出版社是中国最大的综合性科技出版机构<ref>[http://news.sohu.com/a/791262769_121675507 国家对出版社等级是怎样评估的 ]，搜狐，2024-07-06</ref>，由前[[中国科学院编译局]]与1930年代创建的有较大影响的龙门联合书局合并而来。科学出版社比邻[[皇城根遗址公园]]，是一个历史悠久、力量雄厚，以出版[[学术]]书刊为主的开放式出版社<ref>[http://www.cspm.com.cn/gsgk2017/gsjj/ 公司简介]，中国科技出版传媒股份有限公司</ref>。 ==内容简介== 本书系统介绍半导体光电子器件设计中的物理模型和数值分析方法。全 书共12 章，主要分为三部分。第一部分为第2～5 章，涵盖光电子器件中描 述各相关[[物理]]过程的主导方程的推导和解释；第二部分为第6～9 章，介绍 第一部分所涉及的主导方程的数值求解技术，并讲解将其整合应用于器件仿 真中的方法；第三部分为第10～12 章，提供基于前述建模和求解技术的光 电子器件设计与仿真实例，包括半导体激光器、电吸收调制器、半导体光放 大器、超辐射发光二极管等，以及这些器件的单片集成。 ==目录== 译者序前言 第 1章绪论················································································································1 1.1 器件的物理基础 ·····························································································1 1.2 建模和仿真方法 ·····························································································1 1.3 建模研究对象·································································································2 1.4 器件建模技术·································································································3 1.5 本书主要内容·································································································4 第 2章[[光学]]模型 ········································································································5 2.1 有源介质中的波动方程··················································································5 2.1.1 麦克斯韦方程组·······················································································5 2.1.2 波动方程·································································································6 2.2 时域内约化的波动方程··················································································8 2.3 空域内约化的波动方程··················································································9 2.4 时域与空域内同时约化的波动方程——行波光场模型······························ 10 2.4.1 完全限制结构中的波动方程 ···································································· 10 2.4.2 部分限制结构中的波动方程 ···································································· 15 2.4.3 周期性波纹结构中的波动方程 ································································· 18 2.5 宽带行波光场模型 ······················································································· 26 2.5.1 直接卷积模型 ························································································ 27 2.5.2 等效布洛赫方程模型 ·············································································· 29 2.5.3 波段分割模型 ························································································ 31 2.6 时空分离的驻波光场模型············································································ 34 2.7 光子速率方程和相位方程——光场行为模型 ············································· 40 2.8 自发辐射噪声的处理 ··················································································· 40 参考文献 ··············································································································· 44 第 3章材料模型 I：半导体能带结构 ······································································ 47 3.1 体材料半导体中的单电子能带 ···································································· 47 3.1.1 薛定谔方程和哈密顿算符········································································ 47 3.1.2 布洛赫定理和能带结构 ··········································································· 49 3.1.3 k = 0处的解—— Kane模型 ····································································· 57 3.1.4 k≠0处的解—— Luttinger-Kohn模型 ························································ 63 3.1.5 4×4哈密顿算符和轴向近似下的解·························································· 68 3.1.6 不同半导体材料的哈密顿算符 ································································· 71 3.2 半导体量子阱结构中的单电子能带 ···························································· 72 3.2.1 有效质量理论和约束方程········································································ 72 3.2.2 导带(无简并) ························································································ 75 3.2.3 价带(有简并) ························································································ 76 3.2.4 量子阱能带结构 ····················································································· 78 3.3 应变层结构中的单电子能带 ········································································ 82 3.3.1 一般性方法 ··························································································· 82 3.3.2 应变体材料半导体·················································································· 84 3.3.3 应变量子阱结构 ····················································································· 85 3.3.4 闪锌矿结构的半导体 ·············································································· 86 3.4 k-p理论总结 ································································································ 88 参考文献 ··············································································································· 89 第 4章材料模型 II：光学增益 ················································································ 92 4.1 考虑多体效应的综合模型············································································ 92 4.1.1 引言 ····································································································· 92 4.1.2 海森堡方程 ··························································································· 93 4.1.3 综合模型······························································································· 93 4.1.4 一般性约束方程 ····················································································· 98 4.2 自由载流子模型——零阶解 ······································································ 108 4.2.1 自由载流子模型 ··················································································· 108 4.2.2 载流子速率方程 ··················································································· 109 4.2.3 极化激元的速率方程 ············································································ 112 4.2.4 极化率 ································································································ 113 4.3 屏蔽的库仑相互作用模型——一阶解······················································· 113 4.3.1 屏蔽的库仑相互作用模型······································································ 113 4.3.2 屏蔽的库仑势 ······················································································ 115 4.3.3 零注入和激子吸收情形下的解 ······························································· 118 4.3.4 任意注入情形下的解 ············································································ 122 4.4 多体相关模型——二阶解·········································································· 125 4.4.1 多体相关模型 ······················································································ 125 4.4.2 半解析解····························································································· 125 4.4.3 全数值解····························································································· 127 参考文献 ············································································································· 131 第 5章载流子输运和热扩散模型 ········································································· 133 5.1 载流子输运模型 ························································································· 133 5.1.1 泊松方程和载流子连续性方程 ······························································· 133 5.1.2 非有源区的漂移和扩散模型 ·································································· 134 5.1.3 有源区的载流子输运模型······································································ 135 5.1.4 载流子输运模型的简化 ········································································· 139 5.1.5 自由载流子输运模型 ············································································ 141 5.1.6 复合速率····························································································· 142 5.2 载流子速率方程模型 ················································································· 144 5.3 热扩散模型································································································· 145 5.3.1 经典热扩散模型 ··················································································· 145 5.3.2 一维热扩散模型 ··················································································· 148 参考文献 ············································································································· 148 第 6章光学方程的求解方法 ················································································· 151 6.1 横截面上的光场模式 ················································································· 151 6.2 行波方程 ····································································································· 152 6.2.1 有限差分法 ························································································· 152 6.2.2 分步交替法 ························································································· 160 6.2.3 由数字滤波器实现的时域卷积 ······························································· 165 6.3 驻波方程 ····································································································· 167 参考文献 ············································································································· 173 第 7章材料增益方程的求解方法 ········································································· 176 7.1 单电子能带结构 ························································································· 176 7.2 材料增益计算····························································································· 176 7.2.1 自由载流子增益模型 ············································································ 176 7.2.2 屏蔽的库仑相互作用增益模型 ······························································· 181 7.2.3 多体增益模型 ······················································································ 181 7.3 材料模型的参量化 ····················································································· 186 参考文献 ············································································································· 187 第 8章载流子输运和热扩散方程的求解方法 ······················································ 189 8.1 静态载流子输运方程 ················································································· 189 8.1.1 尺度换算····························································································· 190 8.1.2 边界条件····························································································· 191 8.1.3 初始解 ································································································ 192 8.1.4 有限差分离散化 ··················································································· 193 8.1.5 非线性代数方程的求解 ········································································· 202 8.2 瞬时载流子输运方程 ················································································· 205 8.3 载流子速率方程 ························································································· 206 8.4 热扩散方程································································································· 206 参考文献 ············································································································· 208 第 9章器件性能的数值分析 ················································································· 210 9.1 一般方法 ····································································································· 210 9.1.1 材料增益的处理 ··················································································· 210 9.1.2 准三维处理 ························································································· 212 9.2 器件性能分析····························································································· 213 9.2.1 稳态分析····························································································· 213 9.2.2 小信号动态分析 ··················································································· 215 9.2.3 大信号动态分析 ··················································································· 217 9.3 模型的标定和验证 ····················································································· 218 参考文献 ············································································································· 221 第 10章半导体激光器的设计和模拟实例···························································· 223 10.1 增益优化的有源区结构设计和模拟························································· 223 10.1.1有源区材料························································································ 223 10.1.2有源区结构························································································ 227 10.2 光场和载流子限制优化的横截面结构设计和模拟·································· 230 10.2.1横截面叠层设计的一般考虑································································· 230 10.2.2脊波导结构························································································ 232 10.2.3掩埋异质结结构 ················································································· 235 10.2.4脊波导与掩埋异质结结构的比较 ·························································· 238 10.3 激射振荡优化的腔结构设计和模拟························································· 239 10.3.1 Fabry-Perot激光器·············································································· 239 10.3.2通过光栅设计实现不同耦合机制的分布反馈激光器································ 242 10.3.3多段结构激光器的设计 ······································································· 249 参考文献 ············································································································· 253 第 11章其他单一光电器件的设计和模拟实例 ···················································· 257 11.1 电吸收调制器 ··························································································· 257 11.1.1器件结构 ··························································································· 257 11.1.2材料特性和器件性能模拟 ···································································· 258 11.1.3高消光比和低插入损耗的设计 ····························································· 263 11.1.4偏振无关吸收的设计··········································································· 265 11.2 半导体光放大器 ······················································································· 267 11.2.1器件结构 ··························································································· 267 11.2.2性能模拟 ··························································································· 268 11.2.3提高性能的设计 ················································································· 272 11.3 超辐射发光二极管 ··················································································· 272 11.3.1器件结构 ··························································································· 272 11.3.2性能模拟 ··························································································· 273 11.3.3提高性能的设计 ················································································· 275 参考文献 ············································································································· 278 第 12章集成光电器件的设计与模拟实例···························································· 281 12.1 集成半导体分布反馈激光器与电吸收调制器 ········································· 281 12.1.1器件结构 ··························································································· 281 12.1.2集成界面 ··························································································· 283 12.1.3分布反馈激光器性能模拟 ···································································· 284 12.1.4电吸收调制器性能模拟 ······································································· 285 12.2 集成半导体分布反馈激光器与监测光探测器 ········································· 288 12.2.1器件结构 ··························································································· 288 12.2.2激光器性能模拟 ················································································· 291 12.2.3信道间串扰的模拟 ·············································································· 292 参考文献 ············································································································· 296 附录 A Lowdin重整化理论···················································································· 298 附录 B 多体增益模型中的积分·············································································· 300 附录 C 5阶 Runge-Kutta方法的 Cash-Karp实现 ·············································· 312 附录 D 稀疏线性方程的解法 ················································································· 313 D.1 直接法········································································································ 313 D.2 迭代法········································································································ 315 参考文献 ············································································································· 319 ==参考文献== [[Category:040 類書總論；百科全書總論]]
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