Re: metal optics - an ununderstood chapter in optics becomes understandable

From: josefmatz (josefmatz_at_arcor.de)
Date: 10/15/04

  • Next message: mmeron_at_cars3.uchicago.edu: "Re: OT: Historical Amnesia" 
    Date: Fri, 15 Oct 2004 05:13:35 +0200

    An additional comment to the meaning of the rule i gave you above:

    The room of fields with a complex k - vektor is an imaginary vectorroom. A
    description of full three - dimensional problems should - in my opinion also
    be possible.

    In the case of real k - vektors you have
    two vectorial independant parts the perpendicular and the parallel polarized
    wave which are related to the
    normal vector n on the plane of incident. But you can also use any other
    vektor to describe your polarization with respect to. For example if your
    reflekted wave falls onto another makroscopic surface, which is totally
    different oriented you need a transform of the wave from the one surface
    normal to the other. What is parallel polarized at the one surface might
    have also a perpendicular polarized component on the other surface.
    If you have multiple waves which you do want to to superpose, because they
    are overlapping, you first must
    transform them all to the same direction vektor before you add the fields
    and calculate the Pointing vector.
    Thats the symmetry with real k.

    If you have komplex k - Vektors, you have in general cases two different
    directions for the real and imaginary part of k. Two directions are enough
    to describe everything, that means you do - in principle need no normal
    vector to describe your problem. On the other hand, the symmetry of real k
    has to come in in your solution.
    And the answer is:
    If you have many waves you want to overlap in a 3D situation with komplex
    k - vectors, you need a rule how
    to calculate the fiels as a sum of several fields. And as far as i know it
    presently this looks so in general:
    Calculate all E Waves and calculte one flux - the sum of all E - Waves and
    do the same with all H - Waves
    and then add these two fluxes. The outcome of this rule in the easy case of
    a simple bulk material is the rule i gave you. It is the superposition
    theorem for E - Waves and H - Waves in full 3D Cases. I do not tell you here
    explicit, how E - Waves and H - Waves are described in 3D Cases. In the
    moment thats my secret.

    This is no lekture as the above because these things are not treated up to
    the final presently.

  • Next message: mmeron_at_cars3.uchicago.edu: "Re: OT: Historical Amnesia"

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