A scalar variational analysis of rectangular dielectric waveguides using Hermite-Gaussian modal approximations

Erteza, Ireena A.; Goodman, Joseph W.

doi:10.1109/50.372447

Cited by 12 publications

(18 citation statements)

References 7 publications

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“…Distribusi ini mampu digunakan sebagai dugaan awal untuk model numerik. Selain itu, analisis pola medan memerlukan titik-titik data untuk membuat simulasi (3,7).…”

Section: Gambar 1 Geometri Pandu Gelombang Persegiunclassified

“…Prinsip yang digunakan dalam model ini adalah kalkulus variasional (3,9 Persamaan 7 merupakan pola medan skalar cobaan polinomial Hypergeometri-Secant Hyperbolik untuk setiap orde moda ke-n, dengan U n adalah fungsi Hypergeometri. 3 orde pertama pada persamaan 7, masing-masing pola medan skalar orde ke-n dinormalisasikan menggunakan hubungan relasi dispersi (9).…”

Section: Pendekatan Hypergeometri-secant Hyperbolikunclassified

“…Pandu gelombang optik persegi (rectangular) mempunyai dinding konduktor logam dengan konduktivitas  c yang tinggi (3). Ruang yang berada dalam pandu gelombang merupakan medium dielektrik sempurna (seperti udara) dengan permeabilitas magnetik  dan permitivitas listrik .…”

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“…Untuk lebih jelas, perhatikan Gambar 1. Pada pandu gelombang persegi, pengurungan berkas gelombang terpandu terjadi dikedua arah sumbu transversal (memperkecil efek difraksi) sepanjang arah perambatan (3,5). Kuantitas fisis yang dikenal sebagai moda perambatan gelombang merupakan salah satu karakteristik rambatan.…”

unclassified

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Simulasi Pola Medan Elektromagnet Pada Pandu Gelombang Persegi Dengan Dua Parameter

Sujito

Lokollo

Supadi³

et al. 2016

Neu

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ABSTRAKTelah dilakukan visualisasi pola medan elektromagnetik pada pandu gelombang persegi untuk moda berorde tinggi, yaitu moda TE 00 , TE 01 , TE 10 dan TE 11 . Konstanta propagasi sebagai salah satu parameter yang digunakan untuk mengkarakter moda gelombang optik diformulasikan secara semi analitik. Hal ini dikarenakan formulasi konstanta propagasi efektif moda gelombang tidak dapat diturunkan secara eksak. Beberapa bagian dipecahkan menggunakan penyelesaian analitik, sedangkan beberapa bagian diselesaikan melalui analisa numerik secara komputasional dengan menggunakan perangkat lunak Matlab. Analisis karakter pola medan dilakukan dengan menggunakan prinsip Variasional fungsi trial polinom Hypergeometri. Hasil penelitian menunjukkan bahwa profil indeks bias berbentuk secant hyperbolik. Hal ini menunjukkan bahwa penggunaan berbagai orde moda menunjukkan kesesuaian terhadap metode indeks efektif dan mampu mendeskripsikan pola medan.Kata Kunci : Persegi; pola medan; moda; ABSTRACK Visualization of the electromagnetics field has been done to rectangular optic waveguide for high order moda. That is moda of TE 00 , TE 01 , TE 10 dan TE 11 . The purpose of this research is description model of electromagnetic wave propagation TE modus to rectangular wave guide. Propagation constant are parameter for characteristic optical wave moda. It's use semy analytic formulation. The constant propagation can not define according exact solution. Solution for some parts using analytical formulation. Some parts of equation solve using numerical analysis with Matlab software. The characteristics of field pattern must analyze with Hypergeometry polynom trial. Result of this research is refraction index profile organized as secant hyperbolic. It's mean that orde mode whom using this result concord to method of effective index, so field of electromagnetic can be well describe.

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“…Distribusi ini mampu digunakan sebagai dugaan awal untuk model numerik. Selain itu, analisis pola medan memerlukan titik-titik data untuk membuat simulasi (3,7).…”

Section: Gambar 1 Geometri Pandu Gelombang Persegiunclassified

Section: Pendekatan Hypergeometri-secant Hyperbolikunclassified

unclassified

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Simulasi Pola Medan Elektromagnet Pada Pandu Gelombang Persegi Dengan Dua Parameter

Sujito

Lokollo

Supadi³

et al. 2016

Neu

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“…This base has been already introduced many years ago for the modeling of optical resonators and beam-waveguides [4][5][6] and then applied for radiative problems in the quasi-optical region for the analysis of hexagonal and diagonal horns [7,8] and in the microwave region for the frequency-domain modeling of large apertures [9] exploiting the possibility to approximately calculate the Fresnel and Fraunhofer radiation by simple formulas. In [10] one-dimensional Associate Hermite Functions are used to characterize the modes of dielectric waveguides. More recently [11] one-dimensional AH Functions have applied to extrapolate both time and frequency domain electromagnetic responses of structures using early-time and lowfrequency simulation data.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Time-Frequency Modeling of Ultra-Wideband Antennas by Two-Dimensional Hermite Processing

Marrocco¹,

Migliorelli²,

Ciattaglia³

2007

PIER

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Abstract-This paper proposes an approximate space-time-frequency field representation for directive Ultra-wideband antennas useful to be introduced into a system-level evaluation tool. Based on the observation that the very near field collected on a plane close to the antenna exhibits a compact support, such a field is processed in the time domain by the two-dimensional Hermite transform. This approach permits to simultaneously express the antenna impulse response and the transfer function by semi-analytical formulas. The theory is demonstrated by numerical examples which highlights that good representations of complex antennas can be achieved by a small set of associate Hermite functions.

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Research on the influence of fabrication parameters on the performance of buried ion-exchanged glass waveguides using the variational method

et al. 2007

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The variational method is proposed to analyze the influence of the fabrication parameters on the performance of buried K + -Na + ion-exchanged Er 3+ -Yb 3+ ions co-doped glass waveguide. The unknown parameters of the Hermite-Gaussian functions as the trial field distribution are determined based on the scalar variational principle. It is demonstrated that the results calculated in this paper agree with those measured in the experiment. The mode dimensions, the effective refractive index, and the overlap factor as the functions of the fabrication parameters are investigated. These results of the variational analysis are useful for the design and optimization of Er 3+ -Yb 3+ ions co-doped waveguides.

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A scalar variational analysis of rectangular dielectric waveguides using Hermite-Gaussian modal approximations

Cited by 12 publications

References 7 publications

Simulasi Pola Medan Elektromagnet Pada Pandu Gelombang Persegi Dengan Dua Parameter

Simulasi Pola Medan Elektromagnet Pada Pandu Gelombang Persegi Dengan Dua Parameter

Simultaneous Time-Frequency Modeling of Ultra-Wideband Antennas by Two-Dimensional Hermite Processing

Research on the influence of fabrication parameters on the performance of buried ion-exchanged glass waveguides using the variational method

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