Here is a list of the unsymmetrized eigenfunctions which exist at low wavenumber (the list is complete for all k<10). I plotted the squared electric field with red for high intensity and white for zero intensity.
| states with m=0: | |
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k=4.809651193460306, E=0 |
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k=11.040156937347, E=0 |
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k=7.872766373617315, E=-1.710554493410052 |
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k=14.15407266779909, E=-1.450543732778328 |
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k=10.89209868846637, E=-3.670019473704888 |
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k=13.8703996076952, E=-5.840479757327259 |
| states with m=1: | |
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k=6.283185577106433, E=0 |
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k=12.56637227314099, E=0 |
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k=9.356470958229772, E=-2.322661817115123 |
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k=12.36199676666686, E=-4.551829150619695 |
| states with m=2: | |
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k=7.663411963500375, E=0 |
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k=14.03118081047388, E=0 |
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k=10.77286063863787, E=-2.756011666618878 |
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k=13.78354103619435, E-5.233742411925371= |
| states with m=3: | |
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k=8.986819160871542, E=0 |
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k=15.45049481973781, E=0 |
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k=12.14192329557385, E=-3.100689099111115 |
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k=18.59189736428973, E=-2.543791646669215 |
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k=15.16777561653867, E=-5.799207264022513 |
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k=18.13983236591272, E=-8.378334451077813 |
| states with m=4: | |
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k=10.27124464232577, E=0 |
| states with m=5: | |
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k=11.52691949023139, E=0 |
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k=14.78133859061727, E= -3.643702144847496 |
This page © Copyright Jens Uwe Nöckel, 06/2003
Last modified: Wed Oct 6 15:07:25 PDT 2010
