2014
DOI: 10.1364/ol.39.000821
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Accuracy of the capillary approximation for gas-filled kagomé-style photonic crystal fibers

Abstract: Precise knowledge of the group velocity dispersion in gas-filled hollow-core photonic crystal fiber is essential for accurate modeling of ultrafast nonlinear dynamics. Here we study the validity of the capillary approximation commonly used to calculate the modal refractive index in kagomé-style photonic crystal fibers. For area-preserving core radius a(AP) and core wall thickness t, measurements and finite element simulations show that the approximation has an error greater than 15% for wavelengths longer than… Show more

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Cited by 50 publications
(44 citation statements)
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“…The areapreserving radius can be determined using the UV asymptotic level of the normalized effective index in Fig. 7 (it is responsible for shifting the mMS data below unity), and we note that we find a higher value (a AP = 1.075a c ) than in a kagome fiber (where a AP = a c 2 √ 3/π ≃ 1.05a c was found [28]). Concerning the requirement for an IR dispersion correction the perturbative case shows an good agreement in the IR with the FEM data for s = 0.02.…”
Section: E Total Lossmentioning
confidence: 49%
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“…The areapreserving radius can be determined using the UV asymptotic level of the normalized effective index in Fig. 7 (it is responsible for shifting the mMS data below unity), and we note that we find a higher value (a AP = 1.075a c ) than in a kagome fiber (where a AP = a c 2 √ 3/π ≃ 1.05a c was found [28]). Concerning the requirement for an IR dispersion correction the perturbative case shows an good agreement in the IR with the FEM data for s = 0.02.…”
Section: E Total Lossmentioning
confidence: 49%
“…As mentioned above we use the mMS model [28] in order to obtain a correction in the IR and UV dispersion. The areapreserving radius can be determined using the UV asymptotic level of the normalized effective index in Fig.…”
Section: E Total Lossmentioning
confidence: 99%
“…We therefore numerically modeled the pulse propagation using a single-mode unidirectional field equation [20], including photoionization with the Perelomov, Popov, Terent'ev (PPT) ionization rates [21], modified with the Ammosov, Delone, Krainov (ADK) coefficients [22]. The dispersion of the fiber was modelled using a simple capillary model [6,23], modified by a wavelengthdependent effective core radius that allows an accurate estimate of the modal refractive index at longer wavelength [24]. The s-parameter in this modified capillary model was set to s = 0.08, an optimum value that was determined by finite-element modelling of an idealized fiber with the same structural parameters.…”
mentioning
confidence: 99%
“…The LP 01 -modal dispersion of kagomé-PCFs is accurately approximated by that of a large-bore capillary [24,34]:…”
mentioning
confidence: 99%