Richard22
Newbie level 1
Could any one please tell me whether I can perform this integration with FFT in MATLAB? How? Please answer as soon as possible and please tell me the details.
Suppose there exists 2 rectangular planes, say, input accessed by x1 and y1 variables and the resulting plane is output accessed by tetax and tetay variables.
this is the integral:
output(tetax,tetay)=∫∫input(x1,y1)*exp(-j*k*((tetax*x1)+(tetay*y1)))(dx1)(dy1)
where:
input(x1,y1) is input field in a nxn matrix form on the first plane(input plane)
output(tetax,tetay) is also the output field in a nxn matrix form on the final plane(output plane)
-1<= x1 <= 1 and -1<= y1 <= 1
tetax and tetay should change so they can span final rectangular plane.
For perform this integral with fft commands I want to combine k and tetax, tetay to look like a normal wavenumber (and change this wavenumber in a loop) but I don't know how to do this with fft or fft2. where should I suppose k in these commands?
I would really appreciate a prompt and detailed answer.
Suppose there exists 2 rectangular planes, say, input accessed by x1 and y1 variables and the resulting plane is output accessed by tetax and tetay variables.
this is the integral:
output(tetax,tetay)=∫∫input(x1,y1)*exp(-j*k*((tetax*x1)+(tetay*y1)))(dx1)(dy1)
where:
input(x1,y1) is input field in a nxn matrix form on the first plane(input plane)
output(tetax,tetay) is also the output field in a nxn matrix form on the final plane(output plane)
-1<= x1 <= 1 and -1<= y1 <= 1
tetax and tetay should change so they can span final rectangular plane.
For perform this integral with fft commands I want to combine k and tetax, tetay to look like a normal wavenumber (and change this wavenumber in a loop) but I don't know how to do this with fft or fft2. where should I suppose k in these commands?
I would really appreciate a prompt and detailed answer.