Prediction of propagation characteristics of photonic crystal fibers by a simpler, more complete and versatile formulation of their effective cladding indices
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...EQ-TARGET;temp:intralink-;e017;326;271 1⁄4 1þ dLð1 − μÞ μ b 2 a ; (17)...
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...0 μm ) [29] are then calculated [29, 30] and shown in Table 4 where we also present the relevant working distances (u) with corresponding maximum coupling efficiencies and transmittivity factors for m μ λ 3 ....
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...The procedure for obtaining the value of FSM n for given parameters of the CCPCF at operating wavelength of light is detailed in Appendix A [29, 30]....
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...Since the core-index COn is greater than that of the effective cladding index FSMn , the fiber can guide light by the mechanism of MTIR as in case of a conventional step index fiber (CSF) [29, 30]....
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...In CSFs, the single-mode optical bandwidth is typically limited by macro-bend loss at long wavelengths and a higher-order mode cutoff at short wavelengths [40]....
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...The upper and lower limits of the propagation constants β of the guided modes through the core of the CCPCF satisfy [8, 30] k FSM CO n β β > > (2)...
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...The procedure to obtain the value of nFSM for given fiber parameters and wavelength of light using [8] is elucidated in the Appendix section....
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...Such modification in the fitting is advantageous in the manner that, it will help us to reduce computation time, since only 9 coefficients are required to compute instead of 27 coefficients [8]....
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...(12) with nFSM and this has enabled us to propose a modified simpler formulation of [8] as follows:...
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...In fact, very recently, a simple, complete, and versatile method has been proposed to predict the effective cladding index of a PCF [8]....
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...Our EIM [8] formulations are, extensively and elaborately, developed on the basis of scalar framework [1, 2]....
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References
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"Prediction of propagation character..." refers background in this paper
...Now, the propagation constants β of the guided modes through the core of the PCF are given by the relation3 knCO > β > βFSM; (1) where k ¼ 2π∕λ, λ being the operating wavelength, nCO is the index of the core material or silica, and βFSM is the propagation constant of the FSM, which is the fundamental mode in the infinite photonic crystal cladding without any core or defect....
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...knCO > β > βFSM; (1) where k 1⁄4 2π∕λ, λ being the operating wavelength, nCO is the index of the core material or silica, and βFSM is the propagation constant of the FSM, which is the fundamental mode in the infinite photonic crystal cladding without any core or defect....
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"Prediction of propagation character..." refers background in this paper
...(3) for fixed λ and Λ values, the value of the concerned u is determined from the following equation:(1)...
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"Prediction of propagation character..." refers background in this paper
...53(5) Optical Engineering 53(5), 056111 (May 2014)...
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...53(5) Kundu and Sarkar: Prediction of propagation characteristics of photonic crystal fibers....
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