Chapter 1 Introduction
1.5 Motivation
For many advantages of metal-coated nanocavity, the size of semiconductor laser could be shrunk into subwavelength scale. If we properly design the cavity well, the propagating SPPs can also be localized in it theoretically [24]. By now, there are many research results of semiconductor laser mainly focus on InGaAsP material system with the lasing wavelength around infra-red or communicational wavelength region; however, the study about UV semiconductor laser is seldom reported in the world. Therefore, we want to use the surface plasmon effect and the GaN material to design the UV laser with low threshold power density and high quality factor. Although there is a momentum mismatch problem between light and the SPP in surface plasmon effect, we can use grating structure to solve this issue [25].
In this thesis, we use GaN as the gain medium coating with silicon nitride (Si3N4) and aluminum layer to form the metal-coated cavity and discuss the experimental lasing results compared with the simulation. We utilize some manufacturing methods to demonstrate our device, like E-beam lithography, plasma-enhanced chemical vapor deposition (PECVD), inductively coupled plasma reactive ion etching (ICP-RIE) and E-gun evaporation.
In chapter 2, we briefly introduce the manufacturing instruments which are used to fabricate the device and measure its characteristics. Then in chapter 3, we design and optimize the metal-coated GaN grating structures device and analyze the lasing characteristics of it.
Then, we will discuss the experiment result with effective refractive index method. In chapter 4, we destruct the periodic characteristic of the grating structures and design a defect pattern in the grating structure. We expect the lights will concentrate in the defect pattern and the threshold power density of it will much lower than the grating structure device. Finally, we will give a brief summary of this thesis in chapter 5.
Fig. 1.1 The important invention in history of LASER.
Table 1.2 Recent Research Results on Different Structure of Metal-coated Nano Devices.
Fig. 1.3 Schematic diagram of GaN-based LDs and LEDs.
Fig. 1.4.1 Schematic diagram of electric-field of SPPs at the metal surface.
Fig. 1.4.2 Electric-field distribution of SPPs at the metal/dielectric interface.
Fig. 1.4.3 Applications of surface plasmon effect: (a) Biosensor (b) Lithography (c) Nanolaser.
Fig. 1.4.4 Electric-field distribution of dielectric and plasmonic waveguide.
References
[1] N. Holonyak and S. F. Bevacqua, “Coherent (visible) light emission from Ga(As1−xPx) Junctions,” Appl. Phys. Lett. 1, 82 (1962).
[2] S. L. McCall, A. F. J. Levi, R. E. Slusher, S. J. Pearton, and R. A. Logan,
“Whispering-gallery mode microdisk lasers,” Appl. Phys. Lett. 60, 289 (1992).
[3] C. Z. Ning, “Semiconductor nanolasers,” Phys. Status Solidi B 247, 774 (2010).
[4] M. W. Kim and P. C. Ku, “Lasing in metal-clad microring resonator,” Appl. Phys. Lett. 98, 131107 (2011).
[5] M. T. Hill, Y. S. Oei, B. Smallbrugge, Y. Zhu, T. de Vries, P. J. van Veldhoven, F. W. M.
van Otten, T. J. Eijkemans, J. P. Turkiewicz, H. de Waardt, E. J. Geluk, S. H. Kwon, Y. H.
Lee, R. Nötzel, and M. K. Smit, “Lasing in metallic-coated nanocavities,” Nat. Photonics 1, 589 (2007).
[6] K. Yu, A. Lakhani, and M.C. Wu, “Subwavelength metal-optic semiconductor nanopatch lasers,” Opt. Express 18, 8790 (2010)
[7] M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, “Room-temperature subwavelength metallo-dielectric lasers,” Nat. Photonics,
[9] Y. G. Wang, S. W. Chang, C. C. Chen, C. H. Chiu, M. Y. Kuo, M. H. Shih, and H. C. Kuo,
“Room temperature lasing with high group index in metal-coated GaN nanoring, ” Appl.
Phys. Lett. 99, 251111 (2011).
[10] S. Nakamura, M. Senoh, N. Iwasa, and S. Nagahama, “High-brightness InGaN blue, green, and yellow light-emitting diodes with quantum well structures,” Jpn. J. Appl. Phys.
34, L797 (1995).
[11] M. H. Kim, M. F. Schubert, Q. Dai, J. K. Kim, E. F. Schubert, J. Piprek, and Y. Park,
“Origin of efficiency droop in GaN-based light-emitting diodes,” Appl. Phys. Lett. 91,
183507 (2007).
[12] C. H. Wang, S. P. Chang, W. T. Chang, J. C. Li, Y. S. Lu, Z. Y. Li, H. C. Yang, H. C. Kuo, T. C. Lu, and S. C. Wang, “Efficiency droop alleviation in InGaN/GaN light-emitting
diodes by graded-thickness multiple quantum wells,” Appl. Phys. Lett. 97, 181101 (2010).
[13] S. Nakamura, M. Senoh, S. Nagahama, N. Iwasa, T. Yamada, T. Matsushita, Y. Sugimoto, and H. Kiyoku, “Room-temperature continuous-wave operation of InGaN
multi-quantum-well structure laser diodes,” Appl. Phys. Lett. 69, 4056 (1996)
[14] J. T. Chu, T. C. Lu, H. H. Yao, C. C. Kao, W. D. Liang, J. Y. Tsai, H. C. Kuo, and S. C.
Wang, “Room-temperature operation of optically pumped blue-violet GaN-based
vertical-cavity surface-emitting lasers fabricated by laser lift-off,” Jpn. J. Appl. Phys. 45,
2556 (2006).
[15] C. C. Kao, T. C. Lu, H. W. Huang, J. T. Chu, Y. C. Peng, H. H. Yao, J. Y. Tsai, T. T. Kao, H. C. Kuo, S. C. Wang, and C. F. Lin, “The lasing characteristics of GaN-based
vertical-cavity surface-emitting laser with AlN/GaN and Ta2O5/SiO2 distributed bragg reflectors,” IEEE Photonics Tech. Lett. 18, 877 (2006).
[16] P. C. Peng , H. C. Kuo , W. K. Tsai , Y. H. Chang , C. T. Lin , S. Chi , S. C. Wang, G. Lin, H. P. Yang,K. F. Lin, H. C. Yu, and J. Y. Chi, “Dynamic characteristics of long-wavelength quantum dot vertical-cavity surface-emitting lasers with light injection,”
Opt. Express 14, 2944 (2006).
[17] T. C. Lu, C. C. Kao, H. C. Kuo, G. S. Huang, and S. C. Wang, “CW lasing of current injection blue GaN-based vertical cavity surface emitting laser,” Appl. Phys. Lett. 92, 141102 (2008).
[18] H. Soda, K. Iga, C. Kitahara, and Y. Suematsu, “GaInAsP/InP surface emitting injection lasers,” Jpn. J. Appl. Phys. 18, 2329 (1979).
[19] F. Koyama, S. Kinoshita, K. Iga, “Room temperature CW operation of GaAs vertical cavity surface emitting laser,” IEICE Trans. E71-E, 1089 (1988).
plasmon resonance biosensors: a review of recent progress,” Biosens Bioelectron. 23, 151 (2007).
[22] W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, “Flying plasmonic lens in the near field for high-speed nanolithography,” Nat. Nanotechnology 3, 733 (2008).
[23] H. J. Lezec, J. A. Dionne, and H. A. Atwater, “Negative refraction at visible frequencies,”
Science 316, 430 (2007).
[24] Y. Gong and J. Vučković, “Design of plasmon cavities for solid-state cavity quantum electrodynamics applications,” Appl. Phys. Lett. 90, 033113 (2007).
[25] R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm, “Surface-plasmon resonance effect in grating diffraction,” Phys. Rev. Lett. 21, 1530 (1968).
Chapter 2 Experimental Instruments and Methods
2.1 Electron Beam Lithography and Scanning Electron Microscope (SEM)
Electron Beam Lithography System
Electron beam (E-beam) lithography is a technique to use the electron beam to expose the photo resist on the surface of sample with the designed pattern, and then we can fix the pattern on the photo resist layer by selectively removing the photo resist. The E-beam lithography system usually consists of an electron gun as source of electron, lenses for focusing, stage for moving the sample precisely, a beam blanker to control the exposure time of electron beam and a computer to control the whole system. Fig. 2.1.1 shows the schematic diagram.
This method could break the diffraction limit which is constrained by conventional photo lithography technique, and makes a promise for fabricating device in subwavelength scale. However, most of E-beam lithography system used for commercial applications are very expensive; therefore, in order to cost down the E-beam lithography system, people usually convert an electron microscope which is also an expensive machine into an E-beam lithography system with a relatively low cost especially for academic purpose. For thesis, we
Scanning Electron Microscope
Scanning electron microscope (SEM) is the very important equipment for people to observe the pattern which is on objects in microscale or nanoscale. The electrons interact with atoms of the object that make up the sample producing signals contained information about itself. The electron beam is focused by one or two condenser lenses to a spot with the size about 0.4 nm to 5 nm in diameter. The preparation of the samples for SEM is easy due to the fact that SEM only require the sample with good conductivity. The combination of higher magnification, larger depth of focus, greater resolution, and ease of sample observation makes the SEM becomes one of the most widely used equipment used for commercial and research
purposes. Fig. 2.1.3 shows the JSM-7000F made by JEOL.
2.2 Dry Etching Process and E-gun Evaporation
Dry Etching Process
Dry etching process is critical for scientists to fabricate the device according to their plan, and there are two types of etching processes: wet etching and dry etching. Dry etching process uses plasma to etch the semiconductor material and it is a kind of anisotropic etching process. The linewidth of dry etching process is smaller than wet etching, therefore, dry etching process gradually replace wet etching process after 1980.
The mechanism of dry etching process is as follow: first, the etching gas has been
diffuse to chamber under ultra-low pressure. Second, when the pressure is stable, plasma is produced by RF frequency. Third, the radicals produced by bombardment of high speed electron would diffuse to the wafer and attach to its surface. Fourth, with the help of ion bombardment, these radicals would react with the atoms on the surface and form by-product as gas. At the end, these volatile by-products would then leave the surface of wafer and discharge from chamber. Fig. 2.2.1 shows the inductively coupled plasma and reactive ion etching (ICP-RIE) system used to etch Si3N4 layer to transfer the patter from PMMA layer, and Fig. 2.2.2 shows the ICP-RIE equipment used to etch GaN layer.
E-gun Evaporation
E-gun evaporation, also called as E-beam evaporation, is one kind of physical vapor deposition (PVD). The difference of E-gun evaporation is that it uses electron beam to heat up the source material. The advantage of E-gun evaporation is that it could heat only one small part of the surface of the source material. This will reduce the energy consumption used by PVD. Therefore, it is a common way to use E-gun evaporation to deposit metal on to the device. For an E-gun evaporation system, it consists of an electron beam evaporation gun, a
2.3 Micro-Photoluminescence (μ-PL) System
Micro-Photoluminescence is an advanced Photoluminescence system to measure sample in micrometer even nanometer scale. The spot size of the light source for μ-PL system has shrunk to micrometer scale to observe the optical properties of sample. In our μ-PL system, we use Nd:YVO4 laser with lasing wavelength 355nm as a pumping source, and the
spot size is about 50μm, frequency of the laser is 1kHz, and the pulse width is about 500ps.
The schematic diagram of μ-PL system is shown in Fig. 2.3.
2.4 Fabrication Process of Metal- coated GaN Grating Structures
We use the 2 μm thick undoped GaN as the gain medium of grating structure laser, which is grown on a c-plane (0001) sapphire substrate by metal-organic chemical vapor deposition (MOCVD) system (EMCORE D-75). We use Trimethygallium (TMGa) and Ammonia (NH3) as the gallium and nitride sources respectively. A thermal cleaning process is carried out at 1080℃ for 10 minutes in a stream of hydrogen ambient before the growth of epitaxial layers to clean the sample surface. Then, the 30nm thick GaN nucleation layer is first grown on the sapphire substrate at 530℃, and at the end the 2μm thick undoped GaN layer is grown on it at 1040℃.
After the undoped sample is prepared, the 200 nm thick Si3N4 is deposited on the planed GaN layer as an etching mask by plasma-enhanced chemical vapor deposition
(PECVD). After that, we coat the 250nm polymethylmethacrylate (PMMA) on Si3N4 by spin-coating method. We define the grating pattern on the PMMA layer by E-beam lithography, then using reactive ion etching (RIE) with CHF3/O2 mixture to etch down to the Si3N4 layer. Next, we transfer the grating pattern from Si3N4 layer to the undoped GaN layer to form the grating structure with about 200nm depth by inductively coupled plasma reactive ion etching (ICP-RIE) with Cl2 /Ar mixture. The Si3N4 mask layers are removed by wet etching after all above processes. Before we begin to do the next step, we clean our sample by wet etching methods, washing away the particles created in the previous dry etching processes to promote the performance of our device. To improve the quality factor of the device, we deposit 30nm Si3N4 layer on the patterned GaN layer. After that, a 50 nm aluminum layer is coated on the device by E-gun evaporation to form the grating structure of metal-coated GaN laser.
The dry etching processes may cause the surface roughness of the device, but the Si3N4 would passive this roughness when we coat the dielectric layer on the grating structure. The surface roughness will generate the nonradiative center on the surface of grating structure reducing the performance of device. The Si3N4 layer between the metal and GaN will reduce
and the process flow chart of metal-coated GaN grating structure is shown in Fig. 2.4
ICP-RIE (SAMCO RIE-101PH)
GaN film etching:
Cl2:25sccm Ar:10sccm ICP power:200W Bias power:200W Pressure:0.33Pa
Etching rate:545nm/min
E-beam Lithography System (JEOL JSM-6500)
Spin coating use PMMA (A5)
Spinning rate in first step:1000 rpm (10sec)
Spinning rate in second step:3500 rpm (25sec)
Hard bake:
Temperature:180℃ (90sec)
Exposure:
Beam voltage:50KeV
Development:
MIBK:IPA (1:3) :70sec
Fixing:
IPA:40sec
E-gun Evaporation System (ULVAC EBX-8C)
Source:Aluminum
Pressure:3×10 -6 Torr
Current:170mA for first 5nm 190mA for the rest 45nm
Fig. 2.1.1 Schematic Diagram of E-beam Lithography System.
Fig. 2.1.3 JSM-7000F SEM System.
Fig. 2.2.1 ICP-RIE System (Oxford Plasmalab System 100).
Fig. 2.2.2 ICP-RIE System (SAMCO RIE-101PH).
Fig. 2.3 Schematic Diagram of Micro-Photoluminescence System.
Fig. 2.4 Process flow chart of metal-coated GaN grating structure.
References
[1] A. Mizrahi, V. Lomakin, B. A. Slutsky, M. P. Nezhad, L. Feng, and Y. Fainman, “Low threshold gain metal coated laser nanoresonators,” Opt. Lett. 33, 1261 (2008).
Chapter 3 Band Edge Mode Lasing in Metal-coated GaN Grating Structure at Room Temperature
3.1 Design and Optimize the Device
Photonic crystals are regarded much attention owing to their photonic band structure recently [1]. Light at the band edge of one dimensional photonic bandgap has nearly zero group velocity and forms a standing wave which makes the laser action possible. The uniformed grating structure would form the plasmonic bandgap and we can observe the band edge mode from it theoretically. By combining the advantages of the metal-coated cavities and the structure of one dimensional photonic crystal like grating structure, we can obtain single-mode output and high quality factor laser possible. A grating structure with uniformed periodicity can be used to couple light to the SPPs. The SPPs exist at a specific condition
which is needed to satisfy the following equation [2]:
𝑘𝑠𝑝𝑝 = 𝑛𝑒𝑓𝑓𝑘0 = 𝑘0 sin(𝜃) ± m2𝜋𝑎 (1)
The peak of emission wavelength of GaN is about 365nm which can be speculated from the bandgap of GaN (3.4eV). The Fig. 3.1.1 shows the Photoluminescence (PL) spectrum of undoped GaN layer and we can find that the emission wavelength range of GaN is from 360nm to 380nm. Therefore, we use the FEM to design the metal-coated GaN grating structure with the high quality factor at about 370nm.
undoped GaN and sapphire. The refractive indices of aluminum and undoped GaN layers are established by Palik [3] and Peng et al [4]. We also set a perfectly matched layer at the bottom of GaN to absorb redundant signal which might reflect back to the metal-coated grating structure and use the 50nm metal layer and 30nm dielectric layer which is referred from report [5] to simulate the electric-field mode profile in it. Finally, we find a band edge mode in the designed structure. Fig. 3.1.2 shows the simulated electric-field intensity plot through the metal-coated GaN grating structure. By using FEM, we can see that the SPPs clearly exist in the metal-coated GaN grating structure from Fig. 3.1.2 with wavelength of 369.5 nm and the quality factor of it is estimated about 200. Then, we fix the period of this structure which is 840nm and further optimize the height and width of it to get the higher quality factor laser.
The higher quality factor represented the longer average lifetime of resonant photons in the cavity and result in better performance of laser. Fig. 3.1.3 (a) shows schematic diagram of the model used to optimize the metal-coated GaN grating structure. Fig. 3.1.3 (b) is the quality factor versus width of grating structure plot, and we find the best width of it is about 220nm.
Afterwards, we fix the period and width of the grating structure and tune the height of it to achieve the best performance in our device. We find the best height of this structure is about
will find that the wavelength of Fig. 3.1.3 (b) and Fig. 3.1.4 (a) increase with increasing the width or height of grating structure.
In Fig. 3.1.4 (a), the height of grating structure which we use to simulate by FEM is from 130 to 250nm. If we continually simulate the height of grating structure from 250nm to 1000nm, we will find the highest quality factor which appears when the height of it is about 900nm as shown in Fig. 3.1.4 (b). However, there is dielectric mode dominate when the height of grating structure is about 900nm and the SPPs is even difficult to find in grating structure as shown in Fig. 3.1.5. For further design the defect mode in grating structure which has the advantage of low threshold power density in chapter 4, it should be depended on surface plasmon effect to achieve [6]. We examine the electric-field mode profile in each height of grating structure by FEM, and find the SPPs clearly exist below the height of it which is approximately 250nm. Therefore, we should demonstrate the grating structure which the height of it is below 250nm first and measure the lasing characteristic to confirm the device is functional. Then, we start to demonstrate the grating structure which the period, width and height of it are 840nm, 220nm and 180nm respectively. The width and height of this structure are both below the wavelength of the expected lasing mode. We also design it with the field size of 50μm×50μm, because the diameter of laser spot size used to pump device is approximately 50μm.
Fabrication procedures are detailed shown in chapter 2.4. After the fabrication
processes are finished, we use SEM to check the size of grating structure and make sure the period, width and height of it is what we want. Fig. 3.1.6 and Fig. 3.1.7 show the SEM image of grating structure in top view and angled view without metal-coated respectively. The period, width and height of it are 840nm, 220nm and 150nm respectively. Although, the height of it is not 180nm which has the best quality factor, we can see that grating structure has not bad quality factor when the height of it is 150nm from Fig. 3.1.4 (a). The SEM image of grating structure after deposition of dielectric and metal layer is shown in Fig. 3.1.8 in angled view, and the schematic diagram of metal-coated GaN grating structure is shown in Fig. 3.1.9.
3.2 Lasing Characteristics of Band Edge Mode in Metal-coated GaN Grating Structure
We use the μ-PL system which is mentioned in chapter 2 to measure the characteristics of the device. The grating structure of metal-coated GaN layer was optically pumped by a frequency-tripled Nd:YVO4 355 nm pulsed laser at room temperature. A 15×objective lens is used to collect the lasing signal from the grating structure laser through a multimode fiber, and couple into a spectrometer with the charge-coupled device detectors. We optically pump our device from the metal-coated surface, because the bulk GaN layer beneath the surface of
and above (red) the threshold power density. We can see a clearly single lasing mode at 368nm from Fig. 3.2.1 and observe the difference between the curve of below and above the threshold power density which ensure a lasing action in the grating structure. Fig. 3.2.2 shows the light-in light-out curves of this mode and the linewidth of the lasing mode above the power density is about 0.53nm. When the power density is above 19W/cm2, we observe the linear behavior in Fig. 3.2.2 which indicates the lasing action, and also find that the linewidth is narrowing. The narrowing linewidth shows that the emission mechanism in GaN is from spontaneous emission to stimulated emission. These evidences prove the lasing action in our metal-coated GaN grating structure. The steady blue-shift behavior as pumping power increase in Fig. 3.2.2 indicates that the performance of device is less influenced by heat effect
and above (red) the threshold power density. We can see a clearly single lasing mode at 368nm from Fig. 3.2.1 and observe the difference between the curve of below and above the threshold power density which ensure a lasing action in the grating structure. Fig. 3.2.2 shows the light-in light-out curves of this mode and the linewidth of the lasing mode above the power density is about 0.53nm. When the power density is above 19W/cm2, we observe the linear behavior in Fig. 3.2.2 which indicates the lasing action, and also find that the linewidth is narrowing. The narrowing linewidth shows that the emission mechanism in GaN is from spontaneous emission to stimulated emission. These evidences prove the lasing action in our metal-coated GaN grating structure. The steady blue-shift behavior as pumping power increase in Fig. 3.2.2 indicates that the performance of device is less influenced by heat effect