Complete optical isolation created by indirect interband photonic transitions

Complete optical isolation created by indirect interband photonic transitions

11 January 2009; corrected online 15 April 2009. | Zongfu Yu and Shanhui Fan
The authors of the article "Complete optical isolation created by indirect interband photonic transitions" published in *Nature Photonics* (2009) have corrected equation (4) and the final sentence in the third paragraph from the end of page 92. The corrected equation is: \[ a_1(z) = e^{-i z \Delta k / 2} \left[ \cos \left( z \sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2} \right) + i \frac{\Delta k / 2}{\sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2}} \sin \left( z \sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2} \right) \right] \] \[ a_2(z) = i e^{i z \Delta k / 2} \frac{C \sin \left( z \sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2} \right)}{\sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2}} \] The corrected final sentence states that for the device, the calculation indicates a contrast ratio between forward and backward transmission coefficients of over 40 dB over a frequency bandwidth of 1.2 THz. These corrections have been made in the HTML and PDF versions of the letter.The authors of the article "Complete optical isolation created by indirect interband photonic transitions" published in *Nature Photonics* (2009) have corrected equation (4) and the final sentence in the third paragraph from the end of page 92. The corrected equation is: \[ a_1(z) = e^{-i z \Delta k / 2} \left[ \cos \left( z \sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2} \right) + i \frac{\Delta k / 2}{\sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2}} \sin \left( z \sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2} \right) \right] \] \[ a_2(z) = i e^{i z \Delta k / 2} \frac{C \sin \left( z \sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2} \right)}{\sqrt{C^2 + \left( \frac{\Delta k}{2} \right)^2}} \] The corrected final sentence states that for the device, the calculation indicates a contrast ratio between forward and backward transmission coefficients of over 40 dB over a frequency bandwidth of 1.2 THz. These corrections have been made in the HTML and PDF versions of the letter.
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