We correct the calculation method [Opt. Lett. 35, 1335 (2010)] of enhancement of nonreciprocal phase shift on the magneto-optical material boundary.
© 2013 Optical Society of America
The dilemma is as follows: at the material boundary, jumps from a limited value to zero, while also jumps simultaneously, which means could be zero, while could be infinitely large. A solution was proposed in my previous paper to solve the dilemma by using the linear transition zone . It seems reasonable but is actually wrong. In fact, the electric displacement is always continuous. So Eq. (1) can be rewritten as
In this way, the enhancement resulting from the previously proposed transition zone  does not exist anymore. With Eq. (2), we recalculate the nanoscale air gap structure. The results are shown in Fig. 1. From Fig. 1, it is not difficult to find that NPS drops significantly when the gap is filled with low index material. However, when the index exceeds 5.5, an NPS larger than intimate contact () appears and increases as the index increases. This enhancement can be explained by the fact that more energy is dragged toward the materials boundaries.
This work is supported by the Nature Basic Research Program of China (No. 2013CB632105).
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