 Home

Codex Wiki

Mathematics

Area of mathematics

Analysis

Partial differential equation

Wave equation

Klein-Gordon equation

Stationary-phase asymptotic of a Klein-Gordon wave along a subluminal ray

If the leading asymptotic is $Ct^{-1/2}\cos(\Omega t+\gamma)$ with $C>0$, its upward zero crossings satisfy
$$
\Omega t+\gamma=\frac{3\pi}{2}+2\pi n
$$
to leading order.


Upward zero crossings of an oscillatory stationary-phase tail

Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 3 / 39A / b / ii / Solution

Upward zero crossings of an oscillatory stationary-phase tail

 Ancestors (8)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (0)

Upward zero crossings of an oscillatory stationary-phase tail

 Ancestors (8)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)