Activation effect of complex medium on the optical propagation properties of optical quantum well
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摘要: 利用传输矩阵法研究复介质对光量子阱光传输特性的激活效应机制，结果表明复介质可有效激活光量子阱的光透射率和内部局域电场。无论组成光量子阱的介质是实介质还是复介质，光量子阱内部均存在局域电场，且局域电场均会产生频率量子化并在透射谱中出现分立的窄透射峰。在介质A中掺入激活性杂质的复介电常数虚部k为正时，光量子阱内部局域电场和分立窄透射峰的透射率均出现衰减现象，且随着k值增大内部局域电场单调衰减越来越明显，但光量子阱不同波长位置的局域电场对k值的响应灵敏度不同，其中光量子阱中心波长处对应的电场对k值响应最灵敏；当复介电常数的虚部k为负值时，光量子阱内部局域电场和分立窄透射峰的透射率均出现增益放大现象，随着负虚部|k|值增大，内部局域电场先增大至极大值随后衰减，但光量子阱不同波长位置的局域电场增益放大的极大值及其对应的|k|值大小不同，其中光量子阱短波方向局域电场对|k|值响应最灵敏，长波方向局域电场对|k|值响应灵敏度最低。研究复介质对光量子阱光传输特性的调制机制，对新型光学滤波器、光学放大器和光学全反射镜的理论研究与实际设计，以及光量子阱光传输特性的内在机制研究等，均具有积极的指导意义。Abstract: By using the transmission matrix, the activation effect of complex medium on the optical propagation properties of optical quantum well has been studied. The result shows that, the light transmissivity and internal local electric field of an optical quantum well can be activated by complex medium. There is always an internal local electric field in the optical quantum well made of whether real medium or complex medium. The local electric field will always cause the frequency quantization and the appearance of discrete narrow transmission peaks in the transmission spectrum. Active impurities are added to the medium A. When the imaginary part of dielectric constant of complex medium, namely k, is positive, both the local electric field in the optical quantum well and the transmissivity of discrete narrow transmission peaks will be attenuated. With the increase of k value, the monotonic attenuation of internal local electric field becomes more obvious. However, the sensitivity of the response of local electric field to the positive imaginary part k is different at different wavelengths of optical quantum well, and the electric field at the central wavelength of the quantum well is the most sensitive to the k value. When the imaginary part of dielectric constant of complex medium, is negative, both the local electric field in the optical quantum well and the transmissivity of discrete narrow transmission peaks will have an amplified gain. As the value of negative imaginary part |k| increases, the internal local electric field will increase to a maximal value and then become attenuated. However, the maximal value of the local electric field in gain amplification and the corresponding |k| value are different at different wavelengths of the quantum well. To be specific, the local electric field in the short-wave direction of the quantum well is the most sensitive to |k| value, while the local electric field in the long-wave direction is the least sensitive to |k| value. The modulation mechanism of complex medium towards the light transmission characteristics of optical quantum well has positive guiding significance for the theoretical research and practical design of new optical filters, optical amplifiers and optical holophotes, and for the research of internal mechanism of light transmission characteristics of an optical quantum well.
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图 2 一维光子晶体的带隙结构。(a)(ABA)10; (b)(AB)5(BA)5
Figure 2. Band-gap structure of 1D photonic crystals.(a)(ABA)10; (b)(AB)5(BA)5
图 4 (AB)3(ABA)4(BA)3的透射谱与电场分布
Figure 4. Transmission spectrum and electric field distributions of PQW(AB)3(ABA)4(BA)3
图 5 εA=6.670+0.1i时(AB)3(ABA)4(BA)3的透射谱与电场分布
Figure 5. Transmission spectrum and electric field distributions of PQW(AB)3(ABA)4(BA)3 with εA of 6.670+0.1i
图 6 εA=6.670-0.02i时(AB)3(ABA)4(BA)3的透射谱与电场分布
Figure 6. Transmission spectrum and electric field distributions of PQW(AB)3(ABA)4(BA)3 with εA of 6.670-0.02i
图 7 εA=6.670+ki时, k对(AB)3(ABA)4(BA)3内部电场的影响
Figure 7. Electric field distributions versus k of PQW(AB)3(ABA)4(BA)3 with εA of 6.670+ki
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