Method for simulating an aerial image
View Patent ↗An aerial image is generated by imaging an object with the use of an imaging optic, the object being illuminated by an illuminating optic by using a light source emitting illuminating radiation, the illuminating optic having a pupil plane. A first data set is defined to represent the object, a second data set is defined to represent the intensity distribution of the illuminating radiation in the pupil plane of the light source, and the aerial image is calculated from the first and the second data set, in which the resolution of the second data set varies according to the intensity or according to the location of the pupil plane. A microscope includes an imaging optic for imaging an object, a detector for capturing an aerial image of the object, and a processing unit for simulating aerial images generated by the microscope.
1. A method for simulating an aerial image generated by imaging an object with the use of an imaging optic, the object being illuminated by an illuminating optic by using a light source emitting illuminating radiation, the illuminating optic having a pupil plane, the method comprising:
defining a first data set to represent the object;
defining a second data set to represent the intensity distribution of the illuminating radiation in the pupil plane of said light source; and
calculating the aerial image from the first and the second data set;
wherein the resolution of the second data set varies according to the intensity or according to the location of the pupil plane,
wherein the second data set is calculated from a first matrix of intensities having constant resolution by combining a plurality of adjacent pixels into superpixels according to their intensities or their locations, and
wherein during the calculation of the second data set the resolution is increased from the center of the pupil to the edge.
2. The method of claim 1 , wherein the second data set has a higher resolution in regions of high intensities than in regions of low intensities.
3. The method of claim 1 , wherein the resolution of the second data set is higher in the outer region of the pupil than at its center.
4. The method of claim 1 , wherein superpixels are formed iteratively, in which with each iteration the size of the superpixel to be formed increases and the intensity of the superpixel to be formed decreases.
5. The method of claim 1 , wherein pixels whose intensities are greater than a predefined value are not combined into superpixels.
6. The method of claim 1 , wherein the area of a superpixel is calculated from the sum of the areas of the combined pixels, in which the intensity of a superpixel is determined from the sum of the intensities of the combined pixels.
7. The method of claim 1 , wherein the location of a superpixel is defined by calculating the center of the area or the centroid of the area based on the intensities of the combined pixels.
8. The method of claim 1 , wherein the superpixels are disposed symmetrically to the center of the pupil plane of the light source.
9. The method of claim 1 , wherein superpixels are formed from 2, 4, 8, 16, 32 or 64 pixels.
10. The method of claim 1 , wherein the superpixels are shaped as square.
11. The method of claim 1 , wherein the edges of at least some of the superpixels are disposed parallel to the pixels of the first matrix.
12. The method of claim 1 , wherein the edges of at least some of the superpixels are disposed diagonal to the pixels of the first matrix.
13. A microscope comprising
an imaging optic for imaging an object;
a light source having a pupil plane;
a detector for capturing an aerial image of the object;
a processing unit for simulating aerial images generated by the microscope, the processing unit being configured to perform:
defining a first data set to represent the object,
defining a second data set to represent the intensity distribution of the illuminating radiation in the pupil plane of the light source, in which the second data set is calculated from a first matrix of intensities having constant resolution by combining a plurality of adjacent pixels into superpixels according to their intensities or their locations, and
calculating the aerial image from the first and the second data sets;
wherein the resolution of the second data set varies according to the intensity or according to the location of the pupil plane.
14. The microscope of claim 13 , comprising a Bertrand lens to be moved into the beam path of the imaging optic to capture an aerial image of the pupil plane by using the detector, wherein the aerial image is provided as a first matrix of intensities having constant resolution.
15. The microscope of claim 13 in which superpixels are formed iteratively, and with each iteration the size of the superpixel to be formed increases and the intensity of the superpixel to be formed decreases.
16. The microscope of claim 13 in which the edges of at least some of the superpixels are disposed diagonal to the pixels of the first matrix.
17. An apparatus comprising
a storage to store instructions; and
a data processor to execute the instructions to implement a process for simulating an aerial image of an object generated by a microscope, the process comprising:
defining a first data set to represent the object,
defining a second data set to represent an intensity distribution of illuminating radiation in a pupil plane of a light source of the microscope, and
calculating the aerial image from the first and the second data set;
wherein the resolution of the second data set varies according to the intensity or according to the location in the pupil plane,
wherein the second data set is calculated from a first matrix of intensities having constant resolution by combining a plurality of adjacent pixels into superpixels according to their intensities or their locations, and
wherein the area of a superpixel is calculated from the sum of the areas of the combined pixels, in which the intensity of a superpixel is determined from the sum of the intensities of the combined pixels.
18. The apparatus of claim 17 , wherein the second data set has a higher resolution in regions of high intensities than in regions of low intensities.
19. The apparatus of claim 17 , wherein the resolution of the second data set is higher in the outer region of the pupil than at its center.
20. The apparatus of claim 17 , wherein superpixels are formed iteratively, in which with each iteration the size of the superpixel to be formed increases and the intensity of the superpixel to be formed decreases.
21. The apparatus of claim 17 , wherein pixels whose intensities are greater than a predefined value are not combined into superpixels.
22. The apparatus of claim 17 , wherein the location of a superpixel is defined by calculating the center of the area or the centroid of the area based on the intensities of the combined pixels.
23. The apparatus of claim 17 , wherein the superpixels are disposed symmetrically to the center of the pupil plane of the light source.
24. The apparatus of claim 17 , wherein superpixels are formed from 2, 4, 8, 16, 32 or 64 pixels.
25. The apparatus of claim 17 , wherein the superpixels are shaped as square.
26. The apparatus of claim 17 , wherein the edges of at least some of the superpixels are disposed parallel to the pixels of the first matrix.
27. The apparatus of claim 17 , wherein the edges of at least some of the superpixels are disposed diagonal to the pixels of the first matrix.
28. A method for simulating an aerial image generated by imaging an object with the use of an imaging optic, the object being illuminated by an illuminating optic by using a light source emitting illuminating radiation, the illuminating optic having a pupil plane, the method comprising:
defining a first data set to represent the object;
defining a second data set to represent the intensity distribution of the illuminating radiation in the pupil plane of said light source; and
calculating the aerial image from the first and the second data set;
wherein the resolution of the second data set varies according to the intensity or according to the location of the pupil plane,
wherein the second data set is calculated from a first matrix of intensities having constant resolution by combining a plurality of adjacent pixels into superpixels according to their intensities or their locations, and
wherein pixels whose intensities are greater than a predefined value are not combined into superpixels.
29. The method of claim 28 , wherein the second data set has a higher resolution in regions of high intensities than in regions of low intensities.
30. The method of claim 28 , wherein the resolution of the second data set is higher in the outer region of the pupil than at its center.
31. The method of claim 28 , wherein superpixels are formed iteratively, in which with each iteration the size of the superpixel to be formed increases and the intensity of the superpixel to be formed decreases.
32. The method of claim 28 , wherein the area of a superpixel is calculated from the sum of the areas of the combined pixels, in which the intensity of a superpixel is determined from the sum of the intensities of the combined pixels.
33. The method of claim 28 , wherein the location of a superpixel is defined by calculating the center of the area or the centroid of the area based on the intensities of the combined pixels.
34. The method of claim 28 , wherein the superpixels are disposed symmetrically to the center of the pupil plane of the light source.
35. The method of claim 28 , wherein superpixels are formed from 2, 4, 8, 16, 32 or 64 pixels.
36. The method of claim 28 , wherein the superpixels are shaped as square.
37. The method of claim 28 , wherein the edges of at least some of the superpixels are disposed parallel to the pixels of the first matrix.
38. The method of claim 28 , wherein the edges of at least some of the superpixels are disposed diagonal to the pixels of the first matrix.