Optical Response of a Perfect Conductor Waveguide That Behaves as a Photonic Crystal

Mendoza-Suárez, A.; Pérez-Aguilar, H.; Villa-Villa, Francisco

doi:10.2528/pier11082405

Cited by 9 publications

(9 citation statements)

References 28 publications

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“…Thus, this paper completes the study of the system introduced in Ref. [13]. The results of this study show that the system has many interesting properties.…”

Section: Introductionmentioning

confidence: 78%

Disordered Field Patterns in a Waveguide With Periodic Surfaces

Pérez-Aguilar¹,

Mendoza-Suárez²,

Tututi³

et al. 2013

PIER B

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Abstract-This paper considers an electromagnetic waveguide composed of two periodic, perfectly conducting, rippled surfaces. This periodic system has a band structure given by a dispersion relation that allows us characterize eigenmodes of the system. We considered the cases of both smooth and rough surfaces, using an integral numerical method to calculate field intensities corresponding to eigenmodes over a wide frequency range. Under certain conditions, the system presents disordered patterns of field intensities with smooth surfaces. We believe that the explanation of disordered patterns is the following: for smooth surfaces, the phenomenon of electromagnetic chaos; and for rough surfaces, the speckle phenomenon. Since it is well known that the surfaces of materials always have a certain degree of roughness, it can be concluded that both chaos and speckle contribute to the presence of disordered field patterns.

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“…Thus, this paper completes the study of the system introduced in Ref. [13]. The results of this study show that the system has many interesting properties.…”

Section: Introductionmentioning

confidence: 78%

Disordered Field Patterns in a Waveguide With Periodic Surfaces

Pérez-Aguilar¹,

Mendoza-Suárez²,

Tututi³

et al. 2013

PIER B

Self Cite

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“…Meanwhile, integral equation method also can efficiently simulate very complicate geometries. In [15], an integral equation method was extensively studied, and then adopted to analyze the optical response from PEC waveguide composed of two periodic and one-dimensional rough surfaces.…”

Section: Introductionmentioning

confidence: 99%

“…But it requires a small grid size to resolve large index-contrast and a small time step to ensure numerical stability. Integral equation method [14,15] offers an efficient way to analyze bandgaps of photonic crystals and reflectance of waveguides. Furthermore, on invoking the integral equation method, only the surface needs to discretize and avoids the discretization of the whole computation domain, and therefore significantly reduce the number of unknowns [14].…”

Section: Introductionmentioning

confidence: 99%

“…Numerical simulations of the wavefields are essential in the design and analysis of these structures. Existing methods for analyzing such structures with multiple longitudinal discontinuities include various eigenmode expansion methods (EEM) [1][2][3][4][5][6][7], the bidirectional beam propagation method (BiBPM) [8][9][10][11][12], the finite difference time domain (FDTD) method [13] and the quation integral method [14,15]. Efficient numerical techniques are in great need for modeling the wavefields of the considered structures.…”

Section: Introductionmentioning

confidence: 99%

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An Efficient Mode Reduction Technique for Modeling of Waveguide Gratings

Yuan¹,

Wu²

2014

PIER M

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Abstract-In this paper, an efficient mode reduction technique for eigenmode expansion method is developed to analyze 2-D waveguide grating structures which are a special class of piecewise uniform waveguides. To take advantage of the periodicity property of the structure, the eigenmode expansion method (EEM) is used with the scattering matrix method and a recursive-doubling procedure. In this situation, our proposed mode reduction technique achieves a significant speedup for gratings with large number of periods. Comprehensive numerical examples on the waveguide gratings are studied to validate the efficiency of our proposed mode reduction technique.

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“…PBGs are of technical use in designing the Bragg reflectors (BRs) that play an important role in solid state laser systems [1][2][3]. Engineering PBGs to realize other possible photonic devices, including resonators, polarizer, filters, beam splitter, and waveguides are also available [4][5][6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Complex Photonic Band Structures in a Photonic Crystal Containing Lossy Semiconductor Insb

Chang¹,

Wu²,

Wu³

2012

PIER

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Abstract-In this work, complex photonic band structure (CPBS) in a semiconductor-dielectric photonic crystal (SDPC) operating at terahertz frequencies is theoretically investigated. The SDPC is air/(S/D) N /air where the dielectric layer D is SiO 2 , the semiconductor layer S is an intrinsic semiconductor InSb, and N is the number of periods. Using the experimental data for the strongly temperaturedependent plasma frequency and damping frequency for InSb, we calculate the CPBS for the infinite SDPC at distinct operating temperatures. The CPBS is then compared with the calculated transmittance, reflectance, and absorptance as well in the finite SDPC. Based on the calculated CPBS, the role played by the loss factor (damping frequency), in InSb is revealed. Additionally, from the calculated transmittance spectra, we further investigate the cutoff frequency for the SDPC. The dependences of cutoff frequency on the number of periods and the filling factor of semiconductor layer are numerically illustrated.

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Optical Response of a Perfect Conductor Waveguide That Behaves as a Photonic Crystal

Cited by 9 publications

References 28 publications

Disordered Field Patterns in a Waveguide With Periodic Surfaces

Disordered Field Patterns in a Waveguide With Periodic Surfaces

An Efficient Mode Reduction Technique for Modeling of Waveguide Gratings

Complex Photonic Band Structures in a Photonic Crystal Containing Lossy Semiconductor Insb

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