Method for performing focusing in a particle-optical device with the aid of astigmatism in the particle beam
View Patent ↗Method for performing focusing in a particle-optical device with the aid of astigmatism in the particle beam. In a particle-optical device such as an electron microscope it is advantageous to perform the process of focusing automatically. In accordance with the invention, the electron beam which is to be focused is deliberately made astigmatic to a certain degree. With this astigmatic beam, two images of a specimen are made at two different settings of the objective, after which in each of the images the direction of the astigmatic smearing is determined—for example, with the aid of a two-dimensional Fourier transform (FFT). The directions of the astigmatic smearing are perpendicular to each other if, in the transition from a first setting of the objective to a second one, the point of optimum focus is passed. Through a process of interpolation (which process may be iterative) between these two settings, the point of optimum focus can now be determined. Possible anisotropy in the specimen itself can be eliminated by making two images at both of the settings of the objective and by subtracting the FFTs thereof from each other.
1. A method for focusing a beam of electrically-charged particles in a particle-optical device with an imaging objective lens, comprising the steps:
(a). forming from the aforementioned beam (that is to say the beam of electrically charged particles that is to be focused in the particle-optical device), a first astigmatic beam with an attendant astigmatic direction for a first setting of the objective lens;
(b). making an image, with the first astigmatic beam, of a specimen in the particle-optical device;
(c). determining the direction of the astigmatic smearing (blurring) in the image made in step (b);
(d). providing a different setting to the objective lens;
(e). forming a second astigmatic beam from the aforementioned beam, which second beam has an attendant astigmatic direction for the other setting of the objective lens;
(f). making an image of the specimen with the second astigmatic beam;
(g). determining the direction of the astigmatic smearing in the image made in step (f);
(h). comparing the direction of the astigmatic smearing in the image made in step (b) with that of the image made in step (f);
(i). repeating steps (d) to (h) in the case that the aforementioned directions are equal, and, in the case that the aforementioned directions are not equal, performing an interpolation process between the first setting of the objective lens and the last-obtained setting of the objective lens so as to determine that setting of the objective lens at which the beam of electrically charged particles attains its optimum focus.
2. A method according to claim 1 , wherein the determination of the direction of the astigmatic smearing in an image takes place by determining the spectral energy content of a first spectral region of the image in question with a first direction, and of the spectral energy content of a second spectral region of that image with a second direction transverse to the first direction, and by determining at least the sign of the difference between the spectral energy content in the first region and the spectral energy content in the second region.
3. A method according to claim 2 , wherein the comparison of the direction of the astigmatic smearing in the image made in step (b) with that of the image made in step (f) takes place by comparing the signs of the difference in the spectral energy content of the first region and of the spectral energy content of the second region of each of the images.
4. A method according to claim 3 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.
5. A method according to claim 3 , wherein the performance of the interpolation process between the first setting of the objective lens and the last-obtained setting of the objective lens takes place in that:
(m) the magnitude of the difference between the spectral energy content in the first region and the spectral energy content in the second region in each of the accompanying images is determined
(n) by interpolation between these values, an estimate is obtained for the value of that setting of the objective lens whereby the beam of electrically charged particles attains its optimal focus
(o) a new image is made at the thus-estimated setting whereupon step (m) is performed, after which the set of values obtained at this new setting serve as new values with which interpolation is again performed
(p) the last-mentioned step is repeated until the difference between two subsequent values of the setting of the objective lens is smaller than a pre-stipulated value, after which the last obtained value is held to be the setting of the objective lens whereby the beam of electrically charged particles attains its optimum focus.
6. A method according to claim 5 wherein a different value of the astigmatism is additionally set for the image made attendant to step (o).
7. A method according to claim 6 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.
8. A method according to claim 5 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.
9. A method according claim 2 , wherein the performance of the interpolation process between the first setting of the objective lens and the last-obtained setting of the objective lens takes place in that:
(m) the magnitude of the difference between the spectral energy content in the first region and the spectral energy content in the second region in each of the accompanying images is determined
(n) by interpolation between these values, an estimate is obtained for the value of that setting of the objective lens whereby the beam of electrically charged particles attains its optimal focus
(o) a new image is made at the thus-estimated setting whereupon step (m) is performed, after which the set of values obtained at this new setting serve as new values with which interpolation is again performed
(p) the last-mentioned step is repeated until the difference between two subsequent values of the setting of the objective lens is smaller than a pre-stipulated value, after which the last obtained value is held to be the setting of the objective lens whereby the beam of electrically charged particles attains its optimum focus.
10. A method according to claim 9 wherein a different value of the astigmatism is additionally set for the image made attendant to step (o).
11. A method according to claim 10 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.
12. A method according to claim 9 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.
13. A method according to claim 2 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.
14. A method according to claim 1 , wherein
(j) for the first setting of the objective lens, a first further astigmatic beam with a known astigmatic direction transverse to the astigmatic direction of the first astigmatic beam is formed, and a first image of the specimen is made with the first astigmatic beam and a first further image of the specimen is made with the first further astigmatic beam;
(k) for the second setting of the objective lens, a second further astigmatic beam with a known astigmatic direction transverse to the astigmatic direction of the second astigmatic beam is formed, and a second image of the specimen is made with the second astigmatic beam and a second further image of the specimen is made with the second further astigmatic beam;
(l) in the four images thus made, the direction of the astigmatic smearing is determined by determining the spectral energy content of a first spectral region of the image in question with a first direction, and determining the spectral energy content of a second spectral region of that image with a second direction transverse to the first direction, whereby, in each image, at least the sign of the difference between the spectral energy content of the first region and the spectral energy content of the second region is determined.
15. A method according to claim 14 , wherein the performance of the interpolation process between the first setting of the objective lens and the last-obtained setting of the objective lens takes place in that:
(m) the magnitude of the difference between the spectral energy content in the first region and the spectral energy content in the second region in each of the accompanying images is determined
(n) by interpolation between these values, an estimate is obtained for the value of that setting of the objective lens whereby the beam of electrically charged particles attains its optimal focus
(o) a new image is made at the thus-estimated setting whereupon step (m) is performed, after which the set of values obtained at this new setting serve as new values with which interpolation is again performed
(p) the last-mentioned step is repeated until the difference between two subsequent values of the setting of the objective lens is smaller than a pre-stipulated value, after which the last obtained value is held to be the setting of the objective lens whereby the beam of electrically charged particles attains its optimum focus.
16. A method according to claim 15 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.
17. A method according to claim 15 wherein a different value of the astigmatism is additionally set for the image made attendant to step (o).
18. A method according to claim 17 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.
19. A method according to claim 14 , wherein the image processing occurs in digital form, and wherein a subframe of the image in question is formed in order to determine the spectral energy content of the aforementioned spectral regions.