shawG {PEIP}

Shaw Model of Slit Diffraction

Description

Creates the design matrix for the Shaw inverse problem of diffraction through a narrow slot.

Usage

shawG(m, n)

Arguments

m

integer, number of rows

n

integern number of columns

Details

See Aster's book for a details explaination.

Value

Matrix used for creating data and inversion.

Author(s)

Jonathan M. Lees<[e-mail]>

References

C. B. Shaw, Jr., "Improvements of the resolution of an instrument by numerical solution of an integral equation", J. Math. Anal. Appl. 37: 83-112, 1972.

Examples

n = 20
G = shawG(n,n)

spike = rep(0,n)
spike[10] = 1

dspiken = G %*%  spike

plot(dspiken)