Stable FDTD solutions with higher-order absorbing boundary conditions

✍ Scribed by Omar M. Ramahi

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 104 KB
• Volume: 15
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/(sici)1098-2760(19970620)15:3<132::aid-mop4>3.0.co;2-h

✦ Synopsis

One-way wa¨e equation type boundary operators can (

) produce instabilities in finite-difference᎐time-domain FDTD simulations. Such instabilities become acute when the order of the operator is three or higher. Pre¨ious efforts to stabilize these operators sacrificed either efficiency or accuracy. This Letter presents a simple scheme that produces stable FDTD solutions by using double-precision arithmetic o¨er a fraction of the domain while using damping coefficients that are small enough to maintain accuracy, especially o¨er the lower frequencies. This procedure gi¨es accurate solutions while only marginally increasing the memory o¨erhead.