• Photonics Research
  • Vol. 2, Issue 6, 182 (2014)
Zhen Lin*, Michel Gendry, and and Xavier Letartre
Author Affiliations
  • Universite de Lyon, Institut des Nanotechnologies de Lyon (INL), UMR CNRS 5270, Ecole Centrale de Lyon, 36 avenue Guy de Collongue, F 69134 Ecully Cedex, France
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    DOI: 10.1364/PRJ.2.000182 Cite this Article Set citation alerts
    Zhen Lin, Michel Gendry, and Xavier Letartre. Optical mode study of III–V-nanowire-based nanophotonic crystals for an integrated infrared band microlaser[J]. Photonics Research, 2014, 2(6): 182 Copy Citation Text show less

    Abstract

    In this paper, we study an original strategy to generate an infrared waveband microlaser by an integrated III–V-nanowire (NW)-based photonic array for on-chip interconnects. The optical modes of the III–V-NW-based photonic array are investigated for utilization as an all-in-one gain medium, waveguide, and cavity. Adequate designs of periodic arrays of InP NWs with different polarization TM and TE modes are studied by 3D electromagnetic simulation finite difference time domain to optimize the resonant active photonic crystal (hybrid Bloch modes) in the infrared band at 1.3 μm. According to our calculations, NWs larger than 0.2 μm in diameter are needed to conceive optic modes inside NW photonics in TM polarization. However, smaller NW photonics, such as 0.1 μm in diameter, can obtain only the TE mode inside the NWs. This phenomenon is theoretically illustrated by the dispersive curves of NW-based photonics. It aims at demonstrating that the slow velocity mode inside the NW photonics will cause amplification of lightwaves and generate microlasers in the infrared band at 1.3 μm. These studies are of prime importance for further microlaser integration to silicon-on-insulator (SOI) waveguides for on-chip optical interconnects.

    1. INTRODUCTION

    Silicon is the main material used in semiconductor manufacturing today and CMOS technology will probably go on dominating the electronic market for many decades. However, with the size reduction of transistors, one of the most critical issues is related to metallic contacts and interconnects. The thermal budget in the multilayered metallic links above Si transistors hinders their further miniaturization. A technological breakthrough is necessary. The integration of optical links with active photonic material on the Si wafer for high-speed optical interchip and intrachip connects is a possible route to economic the CMOS industry for low-power consumption with next-generation communication technologies.

    Semiconductor nanowires (NWs) are considered to be the next frontier for ultrasmall, highly efficient coherent light source lasers to reduce the footprint of devices for 3D device integration and hence are being extensively studied in the context of optoelectronic devices [13] and nanophotonic circuits [2,4], such as waveguides, LEDs, nanolasers, and optical switches [518]. Recently, single semiconductor NW lasers have been realized in various materials, with emission wavelengths ranging from the ultraviolet to infrared for their widely available bandgaps [13]. Stationary photoluminescence (PL) studies conducted by Reitzenstein et al. [19] as well as time-resolved PL studies [20] have shown good optical properties for InP NWs grown on Si (001) by metal-organic vapor-phase epitaxy, which is a good prerequisite for the realization of an optical emitter. However, NW-array-based photonic lasers have been rarely studied. Cylindrical active III–V NWs with a diameter of several hundreds of nanometers and a length of micrometers can efficiently confine and guide optic waves inside the gain medium on a nanometer scale, and they can also allow the integration of optically active III–V semiconductors onto existing silicon technologies despite a large mismatch in the lattice constant. The photonic NW array structure, on the other hand, can form a microsource cavity to get slow group velocity mode for high optical energy generation inside a gain medium. All of these properties induce the possible realization of nanophotonic lasers as coherent light microsources for integrated on-chip photonics.

    Our work proposes an original strategy to generate an infrared waveband microlaser by integrated III–V-NW-based photonic arrays for on-chip interconnects. The optical properties of NW-based photonic arrays are optimized for utilization as an all-in-one gain medium, waveguide, and cavity. Adequate designs of periodic arrays of InP NWs with different polarization TM and TE modes were studied by 3D electromagnetic simulation finite-difference time-domain (FDTD). The geometrical parameters of this architecture are optimized to obtain modes in the infrared band. A regular array of such NWs will form a resonant active photonic crystal (hybrid Bloch modes). Our work aims at demonstrating that, under optical pumping, the slow velocity mode inside the NW photonics will cause amplification of lightwaves and generate a microlaser in the infrared band at 1.3 μm. This ultracompact source of the original architecture is expected to have an enhanced global efficiency and reduced power consumption, which is of prime importance in the field of silicon photonics.

    2. NW PHOTONIC ARRAY DEFINITION AND OPTICAL POLARIZATIONS

    The infinite periodic NW array was studied separately with TM and TE polarizations by 3D FDTD simulation. In our calculations, the wave propagation is set in the X direction. So, for the TM mode, the main electronic field is in the X direction (see Fig. 1) and Hy and Hz are in the YZ plane, which is vertical to the x axis. In TE mode, the electronic field is set in the YZ plane (Ey and Ez), and Ez is the main part of the electronic field in the propagation. In other words, for TM mode, the main electronic field Ex is perpendicular to these NWs; for TE mode, the main electronic field Ez is parallel to these NWs. According to the periodic photonic structure, the periodic boundary condition is used to optimize the calculations. The slow group velocity modes and their field distributions inside the NW chain system were studied with various dimensions of NW diameter and different source polarization TM and TE modes.

    (a) Photonics array with an infinite number of InP NWs and (b) InP NWs (n1=3.23) in a SiO2 environment (n2=1.53).

    Figure 1.(a) Photonics array with an infinite number of InP NWs and (b) InP NWs (n1=3.23) in a SiO2 environment (n2=1.53).

    3. DISCUSSION

    In both TM and TE polarizations, the fundamental mode wavelength of the NW photonic array increased with the photonic periodic length a. There is stronger redshift with TE than with TM polarization when the NW diameter is increased. For NWs with diameter d=0.2μm, photonic periodic length a needs to be chosen as 0.4 μm for TM and 0.33 μm for TE in order to achieve a 1.3 μm resonance mode for our laser. From the electric energy distribution in the NW profile and its cross section, an apparently optical mode can be observed inside the NWs. The E energy is strongly restrained inside the NWs. Furthermore, for smaller NWs, a should be wider, up to 0.42 μm for both TM and TE polarizations to obtain modes in the resonance region that are widely used in optic telecommunication. It is very interesting that in the NW photonic array, strong TE modes exist inside the NWs with diameters of both 0.2 and 0.1 μm; however, TM mode with 0.1 μm NWs is very weak, as shown in Fig. 2(a).

    Optical modes in a NW photonics array with various NW diameters d and photonic periodic lengths a in (a) TM and (b) TE polarization.

    Figure 2.Optical modes in a NW photonics array with various NW diameters d and photonic periodic lengths a in (a) TM and (b) TE polarization.

    Figure 3 shows the spectra of the TM mode with NW diameters varying from 0.1 to 0.2 μm. The resonance of each mode of the NW photonic array redshifts with increased NW diameter d. The larger the NWs, the stronger is the E energy intensity inside each mode. That is exactly what we observed in Fig. 2(a).

    TM mode spectrum and its mode with different NW diameters d.

    Figure 3.TM mode spectrum and its mode with different NW diameters d.

    A. Wave Vector β Effect

    To explore guided modes in the NWs at the edge of ZB to get a slow group velocity mode for high energy, wave vector β is studied from 0.9 to 1 (see Table 1). Here, a is fixed to 0.4 μm.

    d=0.1μmβ (π/a)0.90.920.950.970.980.991
    Lambda (μm)1.35611.32991.28971.26261.24881.23671.2263
    d=0.2μmβ (π/a)0.90.920.950.970.980.991
    Lambda (μm)1.37521.35451.32151.30281.29621.29291.2913

    Table 1. TM Mode Resonance Wavelengths with Different Wave Vectors β

    1. TM Mode

    From the dispersion curve in Fig. 4, we can see that the group velocity changes a lot with the NW diameter. The slow group velocity mode with high energy exists in d=0.2μm, however, in the d=0.1μm case, no slow group velocity mode exists. Compared to the only SiO2 space (green line), the modes in the NW photonic array with d=0.1μm are almost the same as that in SiO2 space, which both reach ω=0.3268 when β=1. This indicates that the slow group velocity mode cannot exist inside NWs with d=0.1μm in TM mode. As the TM mode band is so close to the light line, there are extended states in both the dielectric environment and the NWs. The optic energy passes through the whole structure and no mode exists inside the NWs array.

    TM modes with different wave vectors β.

    Figure 4.TM modes with different wave vectors β.

    TE modes with different wave vectors β.

    Figure 5.TE modes with different wave vectors β.

    This situation is different in TE mode.

    2. TE Mode

    In TE mode, periodic length a is fixed to 0.33 μm (see Table 2). In this mode, different NW diameters will change the mode energy inside. However, the slow group velocity modes exist in both the d=0.1μm and d=0.2μm cases. That is why a strong field and energy mode can be found in TE mode with both d=0.1μm and d=0.2μm, whereas in TM mode, the mode exists only in the NW system with d=0.2μm (see Fig. 5).

    d=0.1μmβ (π/a)0.90.920.950.970.980.991
    Lambda (μm)1.13711.11791.09281.08131.07791.07561.0750
    d=0.2μmβ (π/a)0.90.920.950.970.980.991
    Lambda (μm)1.33421.32301.31031.30451.30281.30111.3003

    Table 2. TE Mode Resonance Wavelengths with Different Wave Vectors β

    4. CONCLUSION

    The optical modes of a III–V-NW-based photonic array are studied for utilization as an all-in-one gain medium, waveguide, and cavity. The geometrical parameters of this architecture are optimized to obtain modes in the infrared band at 1.3 μm. The regular array of such NWs formed a resonant active photonic crystal (hybrid Bloch modes). According to our 3D electromagnetic FDTD calculations, bigger NWs, such as 0.2 μm in diameter, are needed to conceive optic modes inside NW photonics in TM polarization. However, smaller NW photonics, such as 0.1 μm in diameter, can also be used in TE mode to obtain strong optic energy inside the NWs. This phenomenon is theoretically illustrated by the dispersive curves of NW-based photonics. These studies are of prime importance for further microlaser integration to silicon-on-insulator waveguides for on-chip optical interconnects.

    ACKNOWLEDGMENT

    Acknowledgment. This work is funded by the French Research National Agency (ANR) through the INSCOOP project (ANR-11-NANO-012).

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    Zhen Lin, Michel Gendry, and Xavier Letartre. Optical mode study of III–V-nanowire-based nanophotonic crystals for an integrated infrared band microlaser[J]. Photonics Research, 2014, 2(6): 182
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