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Apr 11, 2019 at 7:51 comment added Ruslan @HolgerFiedler conductor-dielectric interface conditions dictate that E-field component, parallel to the interface, vanishes (the component perpendicular to paper in the OP's photo). So this is the polarization where the lowest mode becomes affected (think Dirichlet boundary). The polarization where E-field is normal to the conducting diaphragm (parallel to the slit width, vertical in the OP's photo) is unaffected (think Neumann boundary).
Apr 11, 2019 at 7:36 comment added HolgerFiedler Your implication is that the E-field is perpendicular to the width of the slit. So the relation of the size of slits width seems to be irrelevant. Maybe you would overread it again?
Apr 11, 2019 at 6:00 comment added Ruslan @HolgerFiedler yes
Apr 11, 2019 at 4:55 comment added HolgerFiedler So in the described by you first case 𝐸⃗ is parallel to the slits walls.
Apr 11, 2019 at 4:51 comment added Ruslan @HolgerFiedler no, I mean it's parallel to the symmetry direction (the direction in which the diaphragm is translationally invariant).
Apr 11, 2019 at 4:45 comment added HolgerFiedler Ruslan, “polarized so that 𝐸⃗ vector is parallel to the slit”? You meant, that 𝐸⃗ is parallel to the slits width?
Apr 10, 2019 at 19:49 history edited Ruslan CC BY-SA 4.0
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Apr 10, 2019 at 19:40 history edited Ruslan CC BY-SA 4.0
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Apr 10, 2019 at 19:34 history edited Ruslan CC BY-SA 4.0
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Apr 10, 2019 at 19:29 history answered Ruslan CC BY-SA 4.0