aqora

Response to the comment on “Do Bloch waves interfere with one another ?”

Vivek M. Vyas

arXiv:2212.02097Physics Letters ADec 7, 20220 citations

Comment on “Counterintuitive Dispersion Violating Kramers-Kronig Relations in Gain Slabs”

Denis G. Baranov, A. A. Zyablovsky, A. V. Dorofeenko +2 more

In this Comment, we refute conclusions made in Phys. Rev. Lett. 112, 233601 (2014) by L.-G. Wang, L. Wang, M. Al-Amri, S.-Y. Zhu, and M. S. Zubairy. These conclusions stem from the use of the linear theory, which is not applicable to systems having poles of the reflection and transmission coefficients in the upper half of the complex frequency plane.

arXiv:1407.5549Physical Review LettersFeb 26, 20156 citations

Counterintuitive Dispersion Violating Kramers-Kronig Relations in Gain Slabs

Li‐Gang Wang, Lin Wang, M. Al-Amri +2 more

We demonstrate the counterintuitive dispersion effect that the peaks (dips) in the gain spectrum correspond to abnormal (normal) dispersion, contrary to the usual Kramers-Kronig point of view. This effect may also lead to two unique features: a broadband abnormal dispersion region and an observable Hartman effect. These results are explained in terms of interference and boundary effects. Finally, two experiments are proposed for the potential experimental verification.

Physical Review LettersJun 11, 201420 citations

Comment on “Do Bloch waves interfere with one another?”

Tomasz Sowiński

arXiv:2211.04916Physics Letters ANov 8, 20221 citation

Mixing with gain in Josephson junctions

B. T. Ulrich, T. Lee

Jan 1, 19721 citation

Pump–probe model for the Kramers–Kronig relations in a laser

H. Yum, M. S. Shahriar

In this paper, we study theoretically a pump–probe model for the Kramers–Kronig (KK) relations during laser operation. A solution of laser equations reveals that the dispersion profile of a saturated laser gain medium is non-analytical at the boundary between the lasing and the non-lasing spectral region. Such a non-analyticity cannot be explained in terms of the KK relations. In order to interpret this situation, it is important to consider carefully the physical basis of the KK relations. We conclude that the KK relation is expected to apply only to an independent probe applied to the medium, which is under excitation by the pump producing the gain as well as the lasing mode. The absorption/gain and dispersion profiles are then analytical, and satisfy the KK relations. Specifically, these are variants of the so-called Mollow–Ezekiel spectra of probe absorption/gain and dispersion in the presence of a pump, with the exception that in this case the medium is inverted.In this paper, we study theoretically a pump–probe model for the Kramers–Kronig (KK) relations during laser operation. A solution of laser equations reveals that the dispersion profile of a saturated laser gain medium is non-analytical at the boundary between the lasing and the non-lasing spectral region. Such a non-analyticity cannot be explained in terms of the KK relations. In order to interpret this situation, it is important to consider carefully the physical basis of the KK relations. We conclude that the KK relation is expected to apply only to an independent probe applied to the medium, which is under excitation by the pump producing the gain as well as the lasing mode. The absorption/gain and dispersion profiles are then analytical, and satisfy the KK relations. Specifically, these are variants of the so-called Mollow–Ezekiel spectra of probe absorption/gain and dispersion in the presence of a pump, with the exception that in this case the medium is inverted.

arXiv:1003.3686Journal of OpticsSep 24, 201025 citations

Comment on "Counterintuitive Dispersion Violating Kramers-Kronig Relations in Gain Slabs" Reply

Related papers

Comment on "Counterintuitive Dispersion Violating Kramers-Kronig Relations in Gain Slabs" Reply

Related papers