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Introduction
Contents:
  1. Introduction
  2. Nano photoelectric material structures — Photonic crystals - IEEE Conference Publication
  3. Photonic Crystals: Principles and Applications

Introduction

So to realize such configuration, here we have chosen two set of data for radius r and lattice spacing a , for example; firstly range of radius of air hole is taken as 16 nm to 49 nm, where lattice spacing is taken as nm. Secondly the range of lattice spacing is taken of nm as nm, where radius of air hole is taken as nm. So that different combination of both radius and lattice spacing are realized. The set of combinations of radius and lattice spacing are shown in Table 1.

The reason for choosing such radius and lattice spacing is that the absorption loss of gallium arsenide semiconductor crystal is zero at these dimensions [ 8 ]. As far as literature survey on optical mirror is concerned, a lot of similar type of research works deal with the same [ 9 - 12 ]. In reference [ 9 ] authors discuss the construction of optical mirror using photonic crystal slab. Mini stop band photonic crystal mirror is explored using GaAs based quantum dot laser in reference [ 11 ]. Also in reference [ 12 ] a dichroic mirror is realized using by the combination of ZrO and SiO 2.

Though these references provide viable result to realize optical mirror, but the structures are complex. To avoid this complexity, here we deal with a simple 2D triangular GaAs photonic crystal structure with periodic air holes, which delivers excellent result to envisage optical mirror.


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Using data from Table 1 and employing plane wave expansion method, simulation for photonic bandgap of 2D triangular photonic crystal structure is made, which is discussed in next section. Photonic bandgap is a key parameter of photonic crystal structure to envisage mirror application. In this case, plane wave expansion PWE method is used to make simulation for photonic bandgap of 2D dimensional photonic crystal structures [ 13 ]. Here, simulation is made for finite area of proposed photonic crystal structure which contains six columns of air holes on GaAs substrate material.

Photonic bandgap depends on structure parameters such as lattice spacing, radius of air holes, number of air holes including structure and configuration of crystal. In this case, we have chosen different combination of radius and lattice spacing, which is mentioned in the previous section. Using data from Table 1 , different combination of radius and lattice spacing , simulation is done for photonic bandgap of photonic crystal structure using plane wave expansion method.

The simulation results for nm, nm and nm, nm of r,a are shown in Figs. Simulation for other combination, such as 16 nm, nm , 17nm, nm , 18 nm, nm , 20 nm, nm , 25 nm, nm , 30 nm, nm , 35 nm, nm , 40 nm, nm , 45 nm, nm , 48 nm, nm , 49 nm, nm , 50 nm, nm , nm, nm , nm, nm , nm, nm , nm, nm , nm, nm , nm, nm , nm, nm and nm, nm of radius and lattice spacing are done but not shown here. Similarly, Fig. Here, the difference between higher and lower band of normalized frequency is shown in these diagrams. This difference indicates that the range of normalized frequencies cannot pass through the same structure or these ranges of electromagnetic waves are completely reflected from such structures.

Then, the wavelength range corresponding to each forbidden normalized frequency is computed. These wavelength ranges of electromagnetic wave will be reflected from such photonic crystal structure. Since reflected beam or light is nothing but the amount of photonic bandgap of photonic crystal structure, photonic band gap corresponding to each dispersion curve have been computed for the same. We know that photonic band gap is determined by taking difference between bottom of the higher band to the top of the lower band.


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  • Using above concept, it is seen from Fig. This indicates that there is no band gap exists between them upper and lower band. It is understood that no photonic band gap is available in the same graph. And also it is inferred that no light will be reflected, if gallium arsenide photonic crystal structure will have nm of lattice constant and nm of radius of air holes. So it is concluded that such dimensions of the same structure is not suitable for mirror application.

    However, bandgap is clearly found in Fig. It is also found that wavelength range of nm - nm cannot propagate through it. It indicates that such wavelength range is completely reflected from such structure. It is also realized that the photonic crystal structure 2D triangular with gallium arsenide as background material having lattice constant of nm and radius of air hole nm reflects wavelength from nm nm.

    In other word, one can say that 2 D gallium arsenide triangular photonic crystals structure having lattice spacing of nm and radius of air holes of nm is suitable for an optical mirror for the range of wavelength, nm nm with wavelength band width of nm. Similarly simulation is done for other lattice spacing and radius 16 nm, nm , 17nm, nm , 18 nm, nm , 20 nm, nm , 25 nm, nm , 30 nm, nm , 35 nm, nm , 40 nm, nm , 45 nm, nm , 48 nm, nm , 49 nm, nm , 50 nm, nm , nm, nm , nm, nm , nm, nm , nm, nm , nm, nm , nm, nm , nm, nm and nm, nm.

    We also computed the lower wavelength, higher wavelength and wavelength width corresponding to each combination. Using above values, graphs are plotted between lower wavelength, higher wavelength and wavelength width along y-axis and radius and lattice spacing along x-axis. The above variations for first and second set of data are shown in Figs.

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    Nano photoelectric material structures — Photonic crystals - IEEE Conference Publication

    From Fig. Similarly from Fig. It is also seen that though the wavelength values of higher and lower band are same at radius of 16 nm and 50 nm, the track of variation is different. The same is clearly mentioned in Fig. It is also seen that though the wavelength values of higher and lower band are same at lattice spacing of nm and nm, the track of variation is found to be different. Realization of optical mirror using 2D triangular photonic crystal structure is thoroughly discussed in this paper. Photonic band gap of photonic crystal structure play an important role in discussing mirror application.

    Photonic band depends on both lattice spacing and configuration of same structure. Finally, it is observed that variation of reflected wavelength band depends on both radius of air holes and lattice spacing of crystal structure. Chen received his Ph. His research interests include adaptive control, smart materials, hysteresis, sliding mode control, machine vision, and observer.

    Summary This book explores the primary principles of photonic crystals and the important research progress of photonic crystal optical devices. It covers photonic crystal all-optical switching, tunable photonic crystal filter, photonic crystal laser, photonic crystal logic devices, and photonic crystal sensors. It comprises theoretical and experimental analyses of the realization of various functions of photonic crystal devices, preparation techniques, measurement methods, and potential applications.

    Other Form Print version Gong, Qihuang. Photonic Crystals : Principles and Applications. View online Borrow Buy Freely available Show 0 more links With access conditions Distributed by publisher. Set up My libraries How do I set up "My libraries"? Open to the public ; Online : Licence restrictions may apply Book English Show 0 more libraries None of your libraries hold this item. Found at these bookshops Searching - please wait Frequency tuning of photonic crystal filters with special attention to nanosize photonic crystals is illustrated, providing a direct perspective on applications of these materials in integrated photonic circuits.

    The transition from chapter 5 to 6 dealing with photonic crystal lasers is smooth, especially after a clear description of frequency tuning.

    Photonic Crystals: Principles and Applications

    Here, one- to three-dimensional photonic lasers are explained along with laser oscillations produced by a variety of microcavity methods. Metallodielectric and liquid-crystal photonic lasers are equally well illustrated. Chapter 7 introduces logic devices based on photonic crystals. Chapter 8 concludes the book by presenting possible applications, including gas, chemical, fluid, and cell sensing; their workings are very well described from a fundamental point of view.

    The diagrams and illustrations are appropriate and eye catching. There are ample references; thus readers are able to find more detailed information to satisfy their curiosity if the book does not suffice.