Very fast and accurate modeling of multilayer waveguiding photonic bandgap structures

Giorgio, Agostino; Perri, Anna Gina; Armenise, Mario Nicola

doi:10.1109/50.956148

Cited by 16 publications

(18 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As previuosly stated, the complete theory of the model can be found in the authors' paper [11]. Then, in this paper only the basis of the theory is given.…”

Section: Fundamental Principles Of Waveguiding Pbg Modelling By Usingmentioning

confidence: 97%

“…By substituting Equation (3) into Maxwell's equations we obtain two separate partial differential equation systems for TE and TM polarizations and they can be expressed in a useful matrix form (see Reference [11] for details):…”

Section: Fundamental Principles Of Waveguiding Pbg Modelling By Usingmentioning

confidence: 99%

“…An outline of the state of the art review about bulk and waveguiding PBG modelling approaches can be found in the authors' paper [11]. On the whole, the conclusion is that rigorous and accurate numerical models result, in general, in large time consumption and difficult implementation.…”

Section: Introductionmentioning

confidence: 99%

“…A new and very powerful model of the WPBG and TWPBG has been proposed by the authors in Reference [11]. The model is based on the leaky mode propagation method, which is a space harmonic field expansion derived from the Bloch-Floquet theorem.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modelling of photonic bandgap devices by the leaky mode propagation method

Giorgio

Perri

2003

Int J Numerical Modelling

View full text Add to dashboard Cite

SUMMARYMain modelling approaches used for investigating the Photonic bandgap (PBG) devices are reviewed. In particular, the model based on Leaky Mode Propagation (LMP) method is described.A complete analysis of the propagation characteristics, including the determination of modal propagation constants, electromagnetic field harmonics and total field distribution, transmission and reflection coefficients, total forward and backward power flow in the structure, guided and radiated power, and total losses, can be carried out by a computer program based on the LMP approach.The numerical results have been validated by comparisons with those obtained by using other more complex and expensive models.The new model shows some significant advantages in terms of very low computational time, absence of any a priori theoretical assumptions and approximations, capability of simulating the actual physical behaviour of the device and fast determination of the bandgap position.

show abstract

“…As previuosly stated, the complete theory of the model can be found in the authors' paper [11]. Then, in this paper only the basis of the theory is given.…”

Section: Fundamental Principles Of Waveguiding Pbg Modelling By Usingmentioning

confidence: 97%

Section: Fundamental Principles Of Waveguiding Pbg Modelling By Usingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modelling of photonic bandgap devices by the leaky mode propagation method

Giorgio

Perri

2003

Int J Numerical Modelling

View full text Add to dashboard Cite

show abstract

“…The Floquet-Bloch theory, applied by the Authors before to analyze 1D periodic structures on planar waveguide [3,4] and after to study the physical properties of optical fiber Bragg gratings [5,6], allows to perform fast investigations and the results are more accurate than those obtained from other numerical methods already compared in a previous work [3]. The numerical approach based on the Floquet-Bloch theory has next been extended to analyze two-dimensional multilayer photonic bandgap structures with a typical triangular or square lattice [7], where the physical features of the investigated devices, working at microwave or optical frequency range, can be optimized in terms of band structure.…”

Section: Introductionmentioning

confidence: 99%

A Model to Optimize a Microwave PBG Accelerator Based on Generic Unit Cell

Diana¹,

Giorgio²,

Marani³

et al. 2007

J. Eur. Opt. Soc.-Rapid Publ.

View full text Add to dashboard Cite

In this paper a numerical method, based on the well known Floquet-Bloch theory, useful to analyze the physical properties of a PBG based accelerator, is presented. The proposed model has been developed to analyze a 2D lattice characterized by a generic inclination angle between the two primitive translation vectors, thus resulting very useful when a periodic structure without an equilateral triangular or square cell has to be investigated. The numerical method has been optimized in order to account several number of space harmonics with a low CPU time and memory consumption. Comparisons with more complex numerical methods demonstrate the accuracy of our model. Several simulations have been performed to find all the geometrical parameters including the inclination angle of the unit cell, filling factor and index contrast. The proposed method, through an optimization procedure of the photonic band structure, allows to obtain a large spectral purity, high order mode suppression and high Q-values.

show abstract

Modelling PBG devices to DWDM filters design

Giorgio

Pasqua

Perri

2004

Int J Numerical Modelling

View full text Add to dashboard Cite

SUMMARYThe fibre optic transmission systems require a bandwidth of about 25 THz in telecommunications networks, for which it is necessary to resort to dense wavelength division multiplexing (DWDM) systems. These systems need optical filters to broadcast selectively or not in a given wavelength band.A new very promising technology for these applications is the photonic crystals with forbidden bandgap (photonic bandgap (PBG)).In this paper, we propose a model of PBG devices to design DWDM filters on PBG materials.

show abstract

Very fast and accurate modeling of multilayer waveguiding photonic bandgap structures

Cited by 16 publications

References 27 publications

Modelling of photonic bandgap devices by the leaky mode propagation method

Modelling of photonic bandgap devices by the leaky mode propagation method

A Model to Optimize a Microwave PBG Accelerator Based on Generic Unit Cell

Modelling PBG devices to DWDM filters design

Contact Info

Product

Resources

About