Showing posts with label Acoustics. Show all posts
Showing posts with label Acoustics. Show all posts

Friday, October 5, 2012

Infinite Geometric Series

http://www.intmath.com/series-binomial-theorem/3-infinite-geometric-series.php

If −1<r<1, then the infinite geometric series
a1 + a1r + a1r2 + a1r3 + ... + a1rn-1
converges to a particular value.
This value is given by:
S∞=a11−r (|r|<1)
The series converges because each term gets smaller and smaller (since -1 < r < 1).

Friday, September 28, 2012

Pressure Release Boundary Condition, Llyod-mirror

Geophysics Modeling Explanation:



WAVE TRANSMISSION THROUGH RANDOM LAYERING WITH
PRESSURE RELEASE BOUNDARY CONDITIONS


http://www.math.uci.edu/~ksolna/research/67_pulse_layered.pdf

Classical surface-image, Lloyd-mirror

Definition:
http://en.wikipedia.org/wiki/Lloyd%27s_mirror