978-1-5386-6599-2/19/$31.00 ©2019 IEEE
Abstract—NPL has launched a comprehensive study on its
primary waveguide TRL calibration ¾-wave Line standards, in
order to establish traceability in S-parameter measurements at
terahertz frequencies. The WM-380 band (500-750 GHz) has been
chosen to demonstrate the approach that is being taken. High
precision dimensional measurements have been carried out on these
Line standards and the waveguide sections that are used as
measuring instrument test ports. Electromagnetic modeling and
simulations have been performed to quantify the impact of the
dimensional errors on the electromagnetic performance of these
devices. In this paper, some preliminary results are reported and
discussed.
Index Terms—Waveguides, measurements, TRL calibration,
WM-380, measurement traceability, terahertz frequencies.
I. INTRODUCTION
There is an increasing demand for traceable electrical
measurements at terahertz frequencies, driven by applications
such as short-range communications, radar sensors, multi-pixel
security imaging systems, medical diagnosis, remote sensing of
the Earth, and astronomy. Waveguide is extensively utilised in
these applications, mainly owing to its low loss characteristics.
Waveguide components are typically characterized using a
Vector Network Analyzer (VNA) for S-parameter
measurements, and there exist different types of calibration
techniques, including TRL (Thru-Reflect-Line) [1], LRL (Line-
Reflect-Line), and SOLT (Short-Open-Load-Thru). Among
them, TRL, a self-calibration technique, is considered very
attractive for precision metrology applications, in that TRL does
not require all standards to be known items except for the Thru
connection (where the test port reference planes are joined
together) [2]-[3]. Flush short-circuit is commonly utilised as the
reflection standard for TRL calibration. To achieve the optimum
performance, the Line standard usually has an electrical length
of 90° (i.e. ¼ guided wavelength) near the mid-band frequency
of the waveguide band.
With rising frequencies, the size of waveguide decreases and
the guided-wavelength reduces, resulting in ¼-wave Line with
small length. For example, the ¼-wave Line for WM-380 band
(500-750 GHz) has a length of 0.155 mm - calculated at the
mid-band frequency of 625 GHz. Such Line standards can be
easily deformed during use and therefore are not ideal. In [3],
TRL calibration using two ¾-wave Line standards has been
proposed. These lines are considerably longer and therefore are
more robust. Two lines are employed so that their corresponding
electrical lengths exclude 180° and 360°, where the TRL
calibration does not work correctly. Each of these two lines is
used to cover part of the full frequency range and both lines
provide full coverage across the waveguide band, as described
in detail in [3].
Here, the same technique was used to design the TRL lines
for WM-380 band. The nominal designed lengths of these two
lines are 0.431 mm and 0.568 mm, respectively. Fig. 1 (a) shows
one of the Line standards. These Line and Reflect standards
were manufactured by Swissto12 [4] using galvanic growth of
materials based on a photolithography structured substrate.
These devices were designed to incorporate flanges meeting the
new IEEE specifications [5]. In practice, the fabricated Line
standards have dimensional errors (e.g. rounded inner corners,
imperfect waveguide internal sizes, etc). Such imperfections are
negligible at lower frequencies, however their impact on
electrical performance becomes significant when frequencies
rise to terahertz [2].
(a)
(b)
Fig. 1. Photographs of the WM-380 devices. (a) One of the ¾-wave Line
standards for TRL calibration; (b) one of the 2-inch long waveguide section
(attached to the test port of VNA) being measured under optical microscope.
Preliminary Study on WM-380 Waveguide TRL Calibration
Line Standards at the UK’s National Physical Laboratory
Xiaobang Shang, Nick Ridler, Wenjuan Sun, Peter Cooper, and Alan Wilson
National Physical Laboratory, Teddington, TW11 0LW, UK
WM-380
waveguide
section
WM-380 waveguide
aperture with nominal
dimensions:
a=380µm, b=190µm