通过改进的adomian分解方案进行极化模式分散的立方四度光学单子
Afrah M Almalki1, A A AlQarni2, H O Bakodah1
1Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia.
MethodsX
|February 24, 2025
概括
这项研究使用了改进的阿多米亚分解法 (IADM) 来准确计算双断纤维中的光学单子. 该方法显示出低误差和与分析结果有很强的相关性,增强光通信系统.
科学领域:
- 非线性光学是非线性光学.
- 计算物理 计算物理
- 光学通信是指光学通信.
背景情况:
- 光学单子对于高速数据传输至关重要.
- 双折射纤维和克尔定律非线性是先进光学系统的关键.
- 对于复杂的非线性进化方程,需要精确的数值方法.
研究的目的:
- 在双断裂纤维中的立方四度光学单子进行数值计算.
- 通过分析解决方案验证改进的阿多米亚分解法 (IADM).
- 评估IADM在优化光通信系统方面的潜力.
主要方法:
- 使用了改进的阿多米亚分解法 (IADM).
- 格尔吉科夫-伊万诺夫方程是使用ADM和IADM解决的.
- 进行了数值模拟以验证准确性和稳定性.
主要成果:
- IADM在解决非线性进化方程方面表现出高精度和有效性.
- 在数值和分析单元表达式之间发现了强烈的相关性.
- 与标准的阿多米亚分解法 (ADM) 相比,IADM表现出更高的收率.
结论:
- IADM是计算光学单子的可靠和高效方法.
- 这些发现证实了IADM在光通信系统设计中的应用潜力.
- 这项研究强调了先进的数值技术对于非线性现象的重要性.
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