Analysis of leaky modes of photonic crystal slabs with deeply patterned lattice

Zeng, Hao; Zhu, Heyuan; Qian, Liejia; Fan, Dianyuan

doi:10.1088/1464-4258/8/5/019

Cited by 7 publications

(6 citation statements)

References 19 publications

(30 reference statements)

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“…On increasing the height of the slab, the dispersion curves of the DCs or PCWs shift towards lower frequencies with the same wave vectors of the crossing point due to the similar electric field distribution of point defects as shown in figure 5(a). In the 2D PC whose height is infinite, the frequencies or dispersion curves are lower than those in the slab because the fields that spread into the air-cladding layers would lead to higher frequencies compared with the 2D PC [26]. Therefore, when one wants to design a decoupling point in a coupler made of PCS, one can do it using a 2D simulation.…”

Section: Simulation Results and Discussionmentioning

confidence: 99%

The properties and design concepts of photonic directional couplers made of photonic crystal slabs

Huang

Lee

et al. 2010

J. Phys. D: Appl. Phys.

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The properties and design concepts of air-defect symmetric and asymmetric directional couplers (DCs) made of photonic crystal slabs (PCSs) are investigated by the tight-binding theory. We give criteria in both cases for determining the specific frequency, named as the decoupling point, at which the even (-like) and odd (-like) parities of eigenmodes should switch. Two dispersion curves will cross in symmetric DCs but not in asymmetric DCs because eigenfrequencies of isolated photonic waveguides (PCWs) are different in asymmetric DCs. In the dielectric-rod PCS, the decoupling point of the DC is located almost at the same wave vector as a two-dimensional (2D) DC with only a blue shift in its frequency. Therefore, 2D simulation can give a primary result in designing a dielectric-rod DC. On reducing the radius of the defect rods, the increase in coupling coefficients leads to a faster group velocity and a longer coupling length. On the other hand, the dispersion curves of the air-hole PCS DC are no longer parallel to those of the 2D DC so that performing a 3D simulation is necessary in designing an air-hole PCS DC with enlarged air holes. Moreover, the dispersion curve of the single PCW is no longer located at the centre of the curves of the symmetric DC and the group velocity may become negative which is not observed in the dielectric-rod PCS. The simulation results indicate that the coupling length of an air-defect DC can be achieved as short as 5 lattice constants, which is much smaller than that made of dielectric defects in air-hole PCS DCs.

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Section: Simulation Results and Discussionmentioning

confidence: 99%

The properties and design concepts of photonic directional couplers made of photonic crystal slabs

Huang

Lee

et al. 2010

J. Phys. D: Appl. Phys.

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“…To overcome this problem one can employ SMM, in which forward and backward amplitudes are obtained after calculating layer vertical wavevectors. The detailed procedure can be found in 17,18 . The general scattering matrix for M+1th layer or interface is …”

Section: Eigenmode Determinationmentioning

confidence: 99%

“…If we put a dipole in the emission surface, then with considering weak coupling limit, the amplitude of dipole J 0 is constant. Therefore, current density distribution can be expanded as below (18) ( ) ( ) ( )…”

Section: Coupling Efficiencymentioning

confidence: 99%

Quantum well design and diffraction efficiency of quantum well light emitting diode

et al. 2009

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In this work, a GaN-based quantum well LED is theoretically analyzed in a multi-layer structure composed of a quantum well embedded in a waveguide core surrounded by photonic crystal slab and a sapphire substrate. The electromagnetic eigenmodes are obtained throughout above structure via revised plane wave-scattering matrix method. The omnidirectional transmission and reflection are investigated for both TE and TM polarizations from diffraction channels in Ewald construction. Then, we introduced angular power density and calculated radiative modes extraction efficiency. All structural parameters, such as lattice geometry, lattice constant, photonic crystal thickness and filling factor, are taken into account. We also investigated the coupling efficiency between waveguide modes and Bloch modes in structure which include decomposed emission and extraction regions. In order to design a quantum well white LED, we used a MQW with adjusted material composition. The photoluminescence spectrum for both TE and TM polarizations is obtained through a combination of k.p perturbation and transfer matrix method.

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“…In the different area of interest of the interaction between light and photonic crystal slabs, resonances of reflection and transmission spectra have been related to the existence of leaky modes. In particular, measured and simulated transmission curves have been converted into approximated band diagrams, where, however, only the phase constants of the involved leaky modes were reported [34], [35]. In all cases, a deep investigation of the modal spectrum supported by the EBG dielectric lattices, in periodic and nonhomogenizable configurations, and of the dispersion behavior of the relevant leaky complex wavenumbers, i.e., of both the phase and the attenuation constants, to be used in quantitative design rules, was not provided.…”

Section: Introductionmentioning

confidence: 99%

Leaky-Wave Radiation From 2-D Dielectric Lattices Excited by an Embedded Electric Line Source

Baccarelli

Tognolatti

Jandieri

et al. 2021

IEEE Trans. Antennas Propagat.

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This paper presents an analytical and numerical investigation of the radiation features of an interesting class of electromagnetic bandgap (EBG) structures excited by an electric line source. The radiation from two-dimensional (2-D) lattices made with lossless dielectric cylinders, typically optimized by using the Bloch analysis of the corresponding 2-D photonic crystals, are originally investigated in terms of leaky waves. A thorough modal analysis of open waveguides, composed by a finite number of periodic chains of circular dielectric rods, is presented that shows a multiplicity of bound and leaky modes. Two radiation windows are identified and the relevant directive features are described in terms of properly excited dominant leaky modes. The possible excitation of higher order leaky modes and guided modes has been carefully considered, by also capturing the relevant residue contributions in a nonspectral representation of the excited fields. The final results on radiated fields by realistic truncated structures, obtained by ad-hoc software as well as full-wave EM simulators, are in excellent agreement with those predicted by the proposed leaky-wave approach.

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Analysis of leaky modes of photonic crystal slabs with deeply patterned lattice

Cited by 7 publications

References 19 publications

The properties and design concepts of photonic directional couplers made of photonic crystal slabs

The properties and design concepts of photonic directional couplers made of photonic crystal slabs

Quantum well design and diffraction efficiency of quantum well light emitting diode

Leaky-Wave Radiation From 2-D Dielectric Lattices Excited by an Embedded Electric Line Source

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