How can I measure the TE TM splitting in Microcavities?

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Discussion Overview

The discussion focuses on methods to measure the transverse electric (TE) and transverse magnetic (TM) mode splitting in microcavities, particularly in the context of using waveplates and polarized light. Participants explore experimental setups and techniques relevant to planar and structured microcavities, including the use of half wave plates and polarizers.

Discussion Character

  • Technical explanation
  • Experimental/applied
  • Debate/contested

Main Points Raised

  • One participant suggests using a combination of waveplates and polarized light to measure TE-TM splitting, but expresses uncertainty about the specifics.
  • Another participant clarifies the definitions of TE and TM modes and notes that the splitting varies with the wave vector (k) and is zero at normal incidence.
  • A participant confirms the use of a half wave plate in the excitation path to find energy dispersion but questions whether additional components are needed in the signal path.
  • There is a discussion about the necessity of a polarizer in the beam path if polarized light is not already available.
  • One participant mentions using a continuous laser and a linear polarizer but reports no change in the dispersion relation, raising questions about the detection setup.
  • A later reply raises concerns about the spectral resolution of the detector and the angular resolution of the light beam, suggesting that the observed shift might be very small.

Areas of Agreement / Disagreement

Participants express various approaches to measuring TE-TM splitting, but there is no consensus on the optimal setup or whether additional components are necessary. The discussion remains unresolved regarding the effectiveness of the proposed methods.

Contextual Notes

Participants note the potential smallness of the TE-TM splitting and its dependence on the angle of incidence, which may complicate measurements. There are also uncertainties regarding the resolution capabilities of the detection system.

Martin91
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HI all,

I think I have to use some combination of waveplates on the signal, but I am not sure, does anybody know this?

Thanks for help
 
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Are you looking at a planar microcavity or is it a structured one, e.g. a micropillar?

Generally speaking, the TE and TM modes are the linear polarizations with either the electric or the magnetic field oriented perpendicular to the plane given by the normal vector of the microcavity plane and the wave vector of the light field. Therefore, the TE-TM splitting will obviously be slightly different for each value of k along the dispersion and it is 0 for normal incidence.

So you need polarized light and a half wave plate to rotate the polarization of the light field. One possible way to do this is to perform angle-resolved reflection or transmission measurements using polarized white light. If you do not know, at which angle you need to put the half wave plates, just rotate them until you find the lowest and highest energies for some given angle. These should appear at orthogonal angles. The splitting is, however, usually not large. Depending on the material, it may be a feww 100 microeV, though.
 
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thanks a lot for your answer, basically I just put a lambda half plate in my excitation path and find the highest/lowest energy dispersion on higher k vectors yes? and nothing in my signal path ?

in my case it is a 1 dimensional ridge GaAs
 
Martin91 said:
thanks a lot for your answer, basically I just put a lambda half plate in my excitation path and find the highest/lowest energy dispersion on higher k vectors yes? and nothing in my signal path ?

Well, if you already have polarized light, you just put a lambda half plate. Otherwise, you need to place a Glan or some other polarizer in your beam path first of course. What kind of light source will you use? Will you measure in transmission or reflection?

For details on one example system, see G. Panzarini et al., Phys. Rev. B 59, 5082 (1999) and ref. 21 therein.
 
thanks for your help so far, is in reflection and a continuous laser, I put a linear polarizer and after it a lambda half plate rotated it, but the dispersion relation did not change, I am not sure if I also have to put something in the detection path?
 
This may be difficult. What is the spectral resolution of your detector? What is the resolution with which you can scan the angle of incidence of the light beam? What is the angular width of the beam? The shift you try to see might be very small and it will be 0 at normal incidence.
 

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