Claims
- 1. A method of producing an optical wave having a predetermined optical function and wherein said method comprises the following steps:
- selecting a desired far-field pattern for said optical wave containing pixel phases and pixel amplitudes that represent said predetermined optical function;
- performing a fast Fourier transform on said desired far-field pattern to yield, a desired source distribution description for said optical wave;
- determining a standard deviation .sigma..sub.i for each pixel i that produces the predetermined optical function to yield thereby the pixel amplitudes Ai; and
- generating the pixel phases .phi..sub.i from random distributions of the standard deviation .sigma..sub.i for each pixel i.
- 2. A method as defined in claim 1, wherein said determining step comprises using a formula given by
- exp[j.phi..sub.i (.sigma..sub.i)]=A.sub.i exp(j.phi..sub.i)
- to find the standard deviation .sigma..sub.i for each pixel i that produces a desired average amplitude.
- 3. A method as described in claim 1, wherein said generating step comprises using a pseudo-random number generator to select phases .phi..sub.i from distributions of standard deviation .sigma..sub.i for each pixel.
- 4. A method as described in claim 2, wherein said generating step comprises using a pseudo-random number generator to select phases .phi..sub.i from distributions of standard deviation .sigma..sub.i for each pixel.
- 5. A method as described in claim 2, wherein said generating step comprises using a pseudo-random number generator to select phases .phi..sub.i from distributions of standard deviation .sigma..sub.i for each pixel.
- 6. A method as defined in claim 1, in which after using the selecting, performing, determining and generating steps to produce said optical wave with an actual configuration, further including the steps of:
- comparing the actual configuration of the optical wave produced by the method with the predetermined optical function to evaluate the method.
- 7. A method as defined in claim 2, in which after using the selecting, performing, determining and generating steps to produce said optical wave with an actual configuration, further including the steps of:
- comparing the actual configuration of the optical wave produced by the method with the predetermined optical function to evaluate the method.
- 8. A method as defined in claim 3, in which after using the selecting, performing, determining and generating steps to produce said optical wave with an actual configuration, further including the steps of:
- comparing the actual configuration of the optical wave produced by the method with the predetermined optical function to evaluate the method.
- 9. A method as defined in claim 4, in which after using the selecting, performing, determining and generating steps to produce said optical wave with an actual configuration, further including the steps of:
- comparing the actual configuration of the optical wave produced by the method with the predetermined optical function to evaluate the method.
STATEMENT OF GOVERNMENT INTEREST
The invention described herein may be manufactured and used by or for the Government for governmental purposes without the payment of any royalty thereon.
US Referenced Citations (8)