2010
DOI: 10.2528/pierm10033104
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New Formula for the Reflection Coefficient of an Open-Ended Rectangular Waveguide With or Without an Infinite Flange

Abstract: Abstract-New formulas are presented for the reflection coefficient at the open end of a rectangular waveguide radiating into air including the effect of wall thickness or flange. Existing formulas require significant amount of numerical calculations and do not cover the practical range of waveguide dimensions.Reflection coefficients of open-ended standard waveguides are simulated using commercial electromagnetic software and curve-fitted to derive new formulas. Proposed formulas also include the effect of the … Show more

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Cited by 10 publications
(4 citation statements)
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“…Another huge advantage is that, similar to a resonant cavity, in the two-port measurement technique, the dielectric properties of the sample can be extracted by simple ‘relative’ measurement between air and sample . This allows us to avoid solving a complicated inverse problem (that is, calculating dielectric properties from the measured admittance) and reduce the requirement of the vector network analyzer and calibration procedure [ 59 , 60 , 61 ]. In other words, we can simply utilize a low-cost scalar network analyzer in extracting complex permittivity, so it is possible to design a miniaturized portable diagnostic system around the resonator.…”
Section: Probe Design and Characterizationmentioning
confidence: 99%
“…Another huge advantage is that, similar to a resonant cavity, in the two-port measurement technique, the dielectric properties of the sample can be extracted by simple ‘relative’ measurement between air and sample . This allows us to avoid solving a complicated inverse problem (that is, calculating dielectric properties from the measured admittance) and reduce the requirement of the vector network analyzer and calibration procedure [ 59 , 60 , 61 ]. In other words, we can simply utilize a low-cost scalar network analyzer in extracting complex permittivity, so it is possible to design a miniaturized portable diagnostic system around the resonator.…”
Section: Probe Design and Characterizationmentioning
confidence: 99%
“…In a standard rectangular waveguide ranging from the largest WR2300 (584.2 × 282.1 mm 2 ; 0.32−0.49 GHz) to the smallest WR1(0.254 × 0.127 mm 2 ; 750−1100 GHz), b/a and t/a range from 0.406 to 0.512 and from 0.0081 to 0.467, respectively. The maximum reflection is 0.313 (−10.1 dB) for b/a = 0.406 and 0.225 (−13.0 dB) for b/a = 0.512 [9].…”
Section: Introductionmentioning
confidence: 97%
“…Since the first experiment in 1900 by Flemming [1] and the first scientific theory in 1938 [2], the rectangular waveguide open-end radiator, as one of the canonical radiating elements, has been used in a wide range of applications, including near-field antenna measurement [3][4][5][6][7][8][9], dielectric material characterization [10,11], electric field measurement [12,13], array antennas [14][15][16], electric field probe calibration [17], feeding a reflector antenna [18], non-destructive testing [19][20][21], imaging sensors [22] and the excitation of various radiating elements [23][24][25][26]. A comprehensive review of various open-ended waveguides has been presented in [27].…”
Section: Introductionmentioning
confidence: 99%
“…Then, the measured S 11a_sample was converted to normalized admittance, Y/ Y o parameter by a formula: Y/Y o =( 1− S 11a_sample )/(1 + S 11a_sample ). The SOO calibration techniques were validated by comparing normalized admittance, Y/Y o with the literature data [15][16][17][18][19][20][21][22] as shown in Figure 14. The real part, Re(Y/Y o ), and the imaginary part, Im(Y/Y o ), of admittance results were found to be in good agreement with literature data over the operational range of frequencies.…”
Section: Short-offset-offset Short (Soo) Standard Calibrationsmentioning
confidence: 99%