Difference between revisions of "Semi-Infinite Array"
From WikiWaves
Jump to navigationJump to search| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
This is a problem in which a structure repeats periodically to infinity. It is closely | This is a problem in which a structure repeats periodically to infinity. It is closely | ||
| − | related to the [[Infinite Array]] problem but is much more challenging due to | + | related to the [[:Category:Infinite Array|Infinite Array]] problem but is much more challenging due to |
the fact that the solution cannot be assumed periodic. The standard method | the fact that the solution cannot be assumed periodic. The standard method | ||
| − | is to solve for the [[Infinite Array]] and to subtract this solution from | + | is to solve for the [[:Category:Infinite Array|Infinite Array]] and to subtract this solution from |
the solution for the semi-infinite array. Additional diffculties arise if the structure supports [[Rayleigh-Bloch Waves]] because this needs particular attention. | the solution for the semi-infinite array. Additional diffculties arise if the structure supports [[Rayleigh-Bloch Waves]] because this needs particular attention. | ||
[[Category:Infinite Array]] | [[Category:Infinite Array]] | ||
Latest revision as of 07:16, 6 July 2006
This is a problem in which a structure repeats periodically to infinity. It is closely related to the Infinite Array problem but is much more challenging due to the fact that the solution cannot be assumed periodic. The standard method is to solve for the Infinite Array and to subtract this solution from the solution for the semi-infinite array. Additional diffculties arise if the structure supports Rayleigh-Bloch Waves because this needs particular attention.
