Optical element for deconvolution
In one embodiment, a method of constructing a corrective phase mask for an optical element, includes propagating, for each of one or more wavelengths, a point source field from an object plane to a corrective mask plane to determine a source field and propagating, for each of the one or more wavelengths, the point source field from an image plane to the corrective mask plane to determine an image field. The method may further include determining, for each of the one or more wavelengths, a phase modulation field based on the source field and the image field; and determining a multi-wavelength phase modulation field based on combining the phase modulation field for each of the one or more wavelengths.
1. A method of constructing a corrective phase mask for a physical corrective optical element, comprising:
propagating, for each of one or more wavelengths, a point source field from an object plane to a corrective mask plane to determine a source field;
propagating, for each of the one or more wavelengths, the point source field from an image plane to the corrective mask plane to determine an image field;
determining, for each of the one or more wavelengths, a phase modulation field based on the source field and the image field;
determining a multi-wavelength phase modulation field based on combining the phase modulation field for each of the one or more wavelengths; and
constructing the physical corrective optical element based on the determined multi-wavelength phase modulation field to deblur distorted images without having to deconvolve the image computationally.
2. The method of claim 1 , wherein the modulation field for each of the one or more wavelengths is combined based on at least one of: super-positioning or random sampling.
3. The method of claim 1 , further comprising providing an optical element based on the multi-wavelength phase modulation field.
4. The method of claim 3 , wherein the optical element is disposed in a computing device comprising:
a display;
an image sensor disposed behind the display; and
the optical element disposed in front of the image sensor, wherein the optical element deblurs optical blurring caused by the display.
5. The method of claim 4 , wherein the optical element is disposed behind the display.
6. The method of claim 4 , wherein the optical element is disposed spatially coincident with the display.
7. The method of claim 1 , wherein for each of the one or more wavelengths the phase modulation field comprises the source field for that wavelength divided by the image field for that wavelength.
8. The method of claim 1 , wherein the point source field from the object plane to the corrective mask plane and the point source field from the image plane to the corrective mask plane each comprise incoherent light.
9. A system comprising:
a physical corrective optical element made by a process comprising:
propagating, for each of one or more wavelengths, a point source field from an object plane to a corrective mask plane to determine a source field;
propagating, for each of the one or more wavelengths, the point source field from an image plane to the corrective mask plane to determine an image field;
determining, for each of the one or more wavelengths, a phase modulation field based on the source field and the image field;
determining a multi-wavelength phase modulation field based on combining the phase modulation field for each of the one or more wavelengths; and
fabricating the physical corrective optical element based on the multi-wavelength phase modulation field to deblur distorted images without having to deconvolve the image computationally.
10. The system of claim 9 , wherein the modulation field for each of the one or more wavelengths is combined based on at least one of: super-positioning or random sampling.
11. The system of claim 9 , further comprising:
a display; and
an image sensor disposed behind the display, wherein the optical element is disposed in front of the image sensor and the optical element deblurs optical blurring caused by the display.
12. The system of claim 11 , wherein the optical element is disposed behind the display.
13. The system of claim 11 , wherein the optical element is disposed spatially coincident with the display.
14. The system of claim 9 , wherein for each of the one or more wavelengths the phase modulation field comprises the source field for that wavelength divided by the image field for that wavelength.
15. The system of claim 9 , wherein the point source field from the object plane to the corrective mask plane and the point source field from the image plane to the corrective mask plane each comprise incoherent light.
16. A method comprising:
receiving, at an optical element of a device, light from an object external to the device;
modulating, by the optical element, the light from the object, wherein the modulation by the optical element deblurs blurring caused by one or more components of the device without deconvolving the light from image computationally; and
capturing, by an image sensor, the modulated light.
17. The method of claim 16 , wherein the device comprises a computing device comprising:
a display;
the image sensor disposed behind the display; and
the optical element disposed in front of the image sensor, wherein the optical element deblurs optical blurring caused by the display.
18. The method of claim 17 , wherein the optical element is disposed behind the display.
19. The method of claim 17 , wherein the optical element is disposed spatially coincident with the display.
20. The method of claim 16 , further comprising displaying, on a display of the device, an image of the object as captured by the image sensor.