Robert Koslover
Certified Consultant
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Posted:
1 decade ago
24 ago 2010, 20:31 GMT-4
Although you can *probably* get away with using the set of inhomogeneous material surfaces as your source boundaries for the Stratton-Chu integration, I recommend that you instead introduce an additional, simpler bounding surface (which could be set up with continuity boundary conditions, so it is effectively invisible) that covers all the possibly-complicated radiating source(s) of interest to you, including some air or vacuum as well. In 3D, this might be a simple cylinder or sphere (or a half- or quarter- section of one, if you can leverage symmetry planes that may apply). If that new surface becomes your outermost boundary, then be sure to assign it scattering boundary condtions (to absorb the wave). But again, the surface used for aperture integration does not have to be the outermost surface of the problem. Regardless, always make sure you provide some distance within the model for the waves to propagate at least slightly away from your source(s), and to allow the radiating waves to be absorbed in a scattering-boundary condition surface. Otherwise, you may get seriously-inaccurate results.
Although you can *probably* get away with using the set of inhomogeneous material surfaces as your source boundaries for the Stratton-Chu integration, I recommend that you instead introduce an additional, simpler bounding surface (which could be set up with continuity boundary conditions, so it is effectively invisible) that covers all the possibly-complicated radiating source(s) of interest to you, including some air or vacuum as well. In 3D, this might be a simple cylinder or sphere (or a half- or quarter- section of one, if you can leverage symmetry planes that may apply). If that new surface becomes your outermost boundary, then be sure to assign it scattering boundary condtions (to absorb the wave). But again, the surface used for aperture integration does not have to be the outermost surface of the problem. Regardless, always make sure you provide some distance within the model for the waves to propagate at least slightly away from your source(s), and to allow the radiating waves to be absorbed in a scattering-boundary condition surface. Otherwise, you may get seriously-inaccurate results.
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Posted:
1 decade ago
25 ago 2010, 04:56 GMT-4
Although you can *probably* get away with using the set of inhomogeneous material surfaces as your source boundaries for the Stratton-Chu integration, I recommend that you instead introduce an additional, simpler bounding surface (which could be set up with continuity boundary conditions, so it is effectively invisible) that covers all the possibly-complicated radiating source(s) of interest to you, including some air or vacuum as well. In 3D, this might be a simple cylinder or sphere (or a half- or quarter- section of one, if you can leverage symmetry planes that may apply). If that new surface becomes your outermost boundary, then be sure to assign it scattering boundary condtions (to absorb the wave). But again, the surface used for aperture integration does not have to be the outermost surface of the problem. Regardless, always make sure you provide some distance within the model for the waves to propagate at least slightly away from your source(s), and to allow the radiating waves to be absorbed in a scattering-boundary condition surface. Otherwise, you may get seriously-inaccurate results.
Hi,
Thanks a lot for your answer. If I understand you right, you suggest to introduce a larger sphere which completely include all the radiation source. But the thing is that the substrate and the cladding is much larger (maybe 30 times)than the nanoparticle (scattering source) which is embedded between them. If I introduce additional boundary, that means the substrate and the cladding will come to an end before they reach the introduced boundary. In the space which is between the ending of the substrate/cladding and the introduced boundary, the field will be scattered out from the substrate/cladding. I guess this will modify the result compared to the original physical phenomenon.
However, I am confused about the first sentence of your answer. Can the boundaries where Stratton-Chu formula is computed set to be different materials ?
[QUOTE]
Although you can *probably* get away with using the set of inhomogeneous material surfaces as your source boundaries for the Stratton-Chu integration, I recommend that you instead introduce an additional, simpler bounding surface (which could be set up with continuity boundary conditions, so it is effectively invisible) that covers all the possibly-complicated radiating source(s) of interest to you, including some air or vacuum as well. In 3D, this might be a simple cylinder or sphere (or a half- or quarter- section of one, if you can leverage symmetry planes that may apply). If that new surface becomes your outermost boundary, then be sure to assign it scattering boundary condtions (to absorb the wave). But again, the surface used for aperture integration does not have to be the outermost surface of the problem. Regardless, always make sure you provide some distance within the model for the waves to propagate at least slightly away from your source(s), and to allow the radiating waves to be absorbed in a scattering-boundary condition surface. Otherwise, you may get seriously-inaccurate results.
[/QUOTE]
Hi,
Thanks a lot for your answer. If I understand you right, you suggest to introduce a larger sphere which completely include all the radiation source. But the thing is that the substrate and the cladding is much larger (maybe 30 times)than the nanoparticle (scattering source) which is embedded between them. If I introduce additional boundary, that means the substrate and the cladding will come to an end before they reach the introduced boundary. In the space which is between the ending of the substrate/cladding and the introduced boundary, the field will be scattered out from the substrate/cladding. I guess this will modify the result compared to the original physical phenomenon.
However, I am confused about the first sentence of your answer. Can the boundaries where Stratton-Chu formula is computed set to be different materials ?
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Posted:
1 decade ago
1 set 2010, 14:41 GMT-4
Refer to this forum
http://www.physicsforums.com/showthread.php?t=306393&page=2
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Posted:
1 decade ago
9 ago 2011, 02:57 GMT-4
dear Robert
thanks a lot for your post. i am very interested in the 'some distance within the model for the waves to propagate at least slightly away from your source' part. i am wondering if you or anyone reading this post has a rule of thumb about this distance? should i use several wavelength or use the criteria that separates the near and far field?
thanks a lot
Although you can *probably* get away with using the set of inhomogeneous material surfaces as your source boundaries for the Stratton-Chu integration, I recommend that you instead introduce an additional, simpler bounding surface (which could be set up with continuity boundary conditions, so it is effectively invisible) that covers all the possibly-complicated radiating source(s) of interest to you, including some air or vacuum as well. In 3D, this might be a simple cylinder or sphere (or a half- or quarter- section of one, if you can leverage symmetry planes that may apply). If that new surface becomes your outermost boundary, then be sure to assign it scattering boundary condtions (to absorb the wave). But again, the surface used for aperture integration does not have to be the outermost surface of the problem. Regardless, always make sure you provide some distance within the model for the waves to propagate at least slightly away from your source(s), and to allow the radiating waves to be absorbed in a scattering-boundary condition surface. Otherwise, you may get seriously-inaccurate results.
dear Robert
thanks a lot for your post. i am very interested in the 'some distance within the model for the waves to propagate at least slightly away from your source' part. i am wondering if you or anyone reading this post has a rule of thumb about this distance? should i use several wavelength or use the criteria that separates the near and far field?
thanks a lot
[QUOTE]
Although you can *probably* get away with using the set of inhomogeneous material surfaces as your source boundaries for the Stratton-Chu integration, I recommend that you instead introduce an additional, simpler bounding surface (which could be set up with continuity boundary conditions, so it is effectively invisible) that covers all the possibly-complicated radiating source(s) of interest to you, including some air or vacuum as well. In 3D, this might be a simple cylinder or sphere (or a half- or quarter- section of one, if you can leverage symmetry planes that may apply). If that new surface becomes your outermost boundary, then be sure to assign it scattering boundary condtions (to absorb the wave). But again, the surface used for aperture integration does not have to be the outermost surface of the problem. Regardless, always make sure you provide some distance within the model for the waves to propagate at least slightly away from your source(s), and to allow the radiating waves to be absorbed in a scattering-boundary condition surface. Otherwise, you may get seriously-inaccurate results.
[/QUOTE]