Study of TE/sub 0/ and TM/sub 0/ modes in dielectric resonators by a finite difference time-domain method coupled with the discrete Fourier transform

Navarro, A.; Nunez, M.J.; Martin, E.

doi:10.1109/22.64599

Cited by 40 publications

(10 citation statements)

References 13 publications

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“…This can be achieved by getting fast Fourier transform of the electromagnetic fields (Navarro et al 1991;Jacquin et al 2000;Qiu and He 2000). In fact, by getting fast Fourier transform, we transform all the fields from time domain to frequency domain.…”

Section: Resultsmentioning

confidence: 99%

Complete analysis of photonic crystal fibers by full-vectorial 2D-FDTD method

Sheikhi

Granpayeh

2008

Opt Quant Electron

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In this paper, an extended finite difference time domain (FDTD) algorithm for the full-vectorial analysis of photonic crystal fibers has been derived. For achieving a good convergence and high accuracy, a kind of modified conformal FDTD method has been applied. An anisotropic perfectly matched layer for truncation of boundary conditions has been introduced. Material and chromatic dispersions are numerically investigated for the photonic crystal fibers with different dimensions and geometrical parameters and different dispersion behaviors are exhibited.

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Section: Resultsmentioning

confidence: 99%

Complete analysis of photonic crystal fibers by full-vectorial 2D-FDTD method

Sheikhi

Granpayeh

2008

Opt Quant Electron

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“…By fast Fourier transformation of the time-step response of the resonator, we can obtain the resonant frequency spectrum [3].…”

Section: Resonant Frequencymentioning

confidence: 99%

Resonant frequency and quality factors of a silver‐coated dual‐mode dielectric resonator

You

Wang

et al. 2002

Micro & Optical Tech Letters

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“…9,10 The values of P e and G were calculated to be 0.777 and 2812, respectively. These values were compared with results from a two-dimensional finite difference time domain code 11 and MAFIA. 12 These results are given in Table I.…”

Section: ͑5͒mentioning

confidence: 99%

Ultralow loss polycrystalline alumina

Breeze

Aupi

Alford

2002

Applied Physics Letters

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Polycrystalline alumina with extremely low microwave dielectric loss is reported with properties analogous to a theoretical ensemble of randomly oriented, single crystal sapphire grains. By avoiding deleterious impurities and by careful control of microstructure, we show that grain boundaries in aluminum oxide have only a limited influence on the dielectric loss. A method of measuring the electric permittivity and loss tangent of low-loss microwave ceramic dielectrics is reported. The electrical parameters such as relative permittivity and loss tangent are extracted using the radial mode matching technique. Ϫ5 at 10 GHz. 1 Polycrystalline analogs of these materials usually have similar permittivity, but losses that are generally a factor of at least two higher. The measurement of low loss, low permittivity microwave dielectric ceramics using the TE 01␦ is limited in accuracy by the electric filling factor and geometric factor of the conducting shield. By carefully choosing the dimensions of the conducting shield for optimum electric filling factor P e and geometric factor G, it is possible to measure the tan ␦ with 10% accuracy for tan ␦Ͼ10 Ϫ5 .2 The preferred method of measurement for tan ␦Ͻ10Ϫ6 utilizes high order whispering gallery modes, 3,4 which have electric filling factors approaching unity and very high geometric factors. Unfortunately, the modal number density is usually very high in the frequency range in which whispering gallery modes exist, and careful choice of cavity dimensions is necessary to avoid spurious modes.5 This letter seeks to extend the usefulness of the TE 01␦ mode measurement method by eliminating a great source of error: the support. The relative permittivity of the dielectric resonator can be calculated using the radial mode matching method. 6 Instead of solving for frequency, as is usually done, one can instead solve for r . After calculation of the electric filling factor and geometric factors, the tan ␦ can be obtained from the expressionwhere P e is the electric filling factor, Q 0 is the unloaded quality factor, R s is the surface resistivity, and G is the geometric factor. An alumina dielectric resonator was constructed as shown in Fig. 1 7 This material is high purity and fine grained, both of which are necessary in order to achieve very low loss. 8,9 The dimensions of the conducting shield are diameter 36.00 mm, height 23.48 mm. The alumina puck has diameter 10.69 mm and height 4.34 mm. The alumina spacer has diameter 4.13 mm and height 6.77 mm.The resonant frequency of the quasi-TE 011 (TE 01␦ ) mode was measured at room temperature ͑300 K͒ and found to be 8.95 557 GHz. The measurement was performed in transmission (S 21 ) using an Agilent network analyzer ͑HP8722͒. Input and output coupling to the resonator was achieved using coaxial transmission lines with small loops formed by soldering the central conductors to the outer shield of the coaxial cable. The coupling was Ϫ40.5 dB, measured from the insertion loss. The loaded quality factor Q L of the mode was measured and f...

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Study of TE/sub 0/ and TM/sub 0/ modes in dielectric resonators by a finite difference time-domain method coupled with the discrete Fourier transform

Cited by 40 publications

References 13 publications

Complete analysis of photonic crystal fibers by full-vectorial 2D-FDTD method

Complete analysis of photonic crystal fibers by full-vectorial 2D-FDTD method

Resonant frequency and quality factors of a silver‐coated dual‐mode dielectric resonator

Ultralow loss polycrystalline alumina

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