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Journal articles on the topic 'Distributed-lumped'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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1

Aleyaasin, M., M. Ebrahimi, and R. Whalley. "Vibration analysis of distributed-lumped rotor systems." Computer Methods in Applied Mechanics and Engineering 189, no. 2 (2000): 545–58. http://dx.doi.org/10.1016/s0045-7825(99)00308-4.

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2

Vega, M. P., E. L. Lima, and J. C. Pinto. "Modeling Lumped-Distributed Systems Using Neural Networks." IFAC Proceedings Volumes 33, no. 10 (2000): 803–8. http://dx.doi.org/10.1016/s1474-6670(17)38638-x.

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3

Sakagami, I. "Transfer functions of lumped distributed multibranch networks." IEE Proceedings - Microwaves, Antennas and Propagation 145, no. 4 (1998): 279. http://dx.doi.org/10.1049/ip-map:19982054.

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4

Ng, C. Y., M. Chongcheawchamnan, and I. D. Robertson. "Lumped-distributed hybrids in 3D–MMIC technology." IEE Proceedings - Microwaves, Antennas and Propagation 151, no. 4 (2004): 370. http://dx.doi.org/10.1049/ip-map:20040656.

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5

Whalley, R. "The Response of Distributed—Lumped Parameter Systems." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 202, no. 6 (1988): 421–29. http://dx.doi.org/10.1243/pime_proc_1988_202_144_02.

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Physical systems are constructed from a variety of components, some of which have relatively concentrated, pointwise features while others have spatially distributed characteristics. In contrast, models rarely reflect this structure, thereby avoiding the mathematical difficulties arising from the manipulation of sets of mixed algebraic, ordinary and partial differential equations which may generate irrational functions on transformation. In this paper general results are produced, enabling the response to systems comprising a series of distributed-lumped elements to be calculated. A simple example is included to illustrate the procedures outlined.

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6

YAO, Huaxia, Michio HASHINO, Akira TERAKAWA, and Toshiro SUZUKI. "COMPARISON OF DISTRIBUTED AND LUMPED HYDROLOGICAL MODELS." PROCEEDINGS OF HYDRAULIC ENGINEERING 42 (1998): 163–68. http://dx.doi.org/10.2208/prohe.42.163.

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7

Pashinin, Pavel P., S. F. Raspopov, and A. T. Sukhodol'skiĭ. "Tunable dye laser with lumped–distributed feedback." Soviet Journal of Quantum Electronics 18, no. 12 (1988): 1535–41. http://dx.doi.org/10.1070/qe1988v018n12abeh012754.

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8

Schuler, A. J. "Distributed microbial state effects on competitionin enhanced biological phosphorus removal systems." Water Science and Technology 54, no. 1 (2006): 199–207. http://dx.doi.org/10.2166/wst.2006.388.

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Computer simulation of activated sludge population dynamics is a useful tool in process design, operation, and troubleshooting, but currently available programs rely on the assumption of “lumped,” or average, system characteristics in each reactor, such as microbial storage product contents. In reality, the states of individual bacteria are likely to vary due to variable residence times in reactors with completely mixed hydraulics. Earlier work by the present author introduced the MATLAB-based distributed state simulation program, Dissimulator 1.0, and demonstrated that distributed states may be particularly important in enhanced biological phosphorus removal (EBPR) systems, which rely on the cycling of bacteria through anaerobic and aerobic reactors to select for a population accumulating multiple microbial storage products. This paper explores the relationships between distributed state profiles, variable anaerobic and aerobic SRTs, and the process rates predicted by lumped and distributed approaches. Consistent with previous results, the lumped approach consistently predicted better EBPR performance than did the distributed approach. The primary reason for this was the presence of large fractions of polyphosphate accumulating organisms (PAOs) with depleted microbial storage product contents, which led to overestimation of process rates by the lumped approach. Distributed and lumped predictions were therefore most similar when microbial storage product depletion was minimal. The effects of variable anaerobic and aerobic SRTs on distributed profile characteristics and process rates are presented. This work demonstrated that lumped assumptions may overestimate EBPR performance, and the degree of this error is a function of the distributed state profile characteristics such as the degree to which fractions of the biomass contain depleted microbial storage product contents.

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9

Whalley, R., H. Bartlett, and M. Ebrahimi. "Analytical solution of distributed-lumped parameter network models." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 211, no. 3 (1997): 203–18. http://dx.doi.org/10.1243/0959651971539740.

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System models for distributed-lumped parameter processes are derived. Procedures leading to the Smith normal form and thereafter to the admittance matrix of these models are presented. General results for interconnected distributed-lumped parameter models are provided and a typical application study is included.

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10

Moss, Terry L., and Yinchao Chen. "Mesh analysis for extracting the S-parameters of lumped element RF and microwave circuits." International Journal of Electrical Engineering & Education 51, no. 4 (2014): 330–39. http://dx.doi.org/10.7227/ijeee.0005.

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This paper demonstrates the applicability of basic mesh current circuit analysis techniques, usually learned in the first year of engineering studies, to lumped element RF circuits, which are usually taught with more sophisticated analysis techniques. As an example, the S-parameters of the 90° lumped element hybrid coupler is derived using the traditional mesh current analysis, and compared to that of the distributed micro-strip response. The distributed transmission line coupler is transformed into equivalent lumped element PI sections, and then combined for the resulting lumped element coupler. Mesh current analysis is then utilized to demonstrate the equivalence between the lumped element coupler and the micro-strip coupler as well as the ability to easily simulate the effects of finite inductor Q on the circuit's performance.

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11

Orlikowski, Cezary, and Rafał Hein. "Port-Based Modeling of Distributed-Lumped Parameter Systems." Solid State Phenomena 164 (June 2010): 183–88. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.183.

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This paper presents a uniform, port-based approach for modeling of both lumped and distributed parameter systems. Port-based model of the distributed system has been defined by application of bond graph methodology and distributed transfer function method (DTFM). The proposed approach combines versatility of port-based modeling and accuracy of distributed transfer function method. A concise representation of lumped-distributed systems has been obtained. The proposed method of modeling enables to formulate input data for computer analysis by application of DTFM.

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12

Khakbaz, Behnaz, Bisher Imam, Kuolin Hsu, and Soroosh Sorooshian. "From lumped to distributed via semi-distributed: Calibration strategies for semi-distributed hydrologic models." Journal of Hydrology 418-419 (February 2012): 61–77. http://dx.doi.org/10.1016/j.jhydrol.2009.02.021.

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13

Tanno, Yusuke, Yoshifumi Ohba, and Wu Guohong. "Mixed Lumped and Distributed Type Dual Frequency Transformer Using Lumped Capacitors and Short Stubs." IEEJ Transactions on Electronics, Information and Systems 141, no. 9 (2021): 1055–56. http://dx.doi.org/10.1541/ieejeiss.141.1055.

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14

Rottwitt, Karsten, Jørn Hedegaard Povlsen, Steen Gundersen, and Anders Bjarklev. "Stability in distributed and lumped gain transmission systems." Optics Letters 18, no. 11 (1993): 867. http://dx.doi.org/10.1364/ol.18.000867.

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15

Marinov, C. A., and A. Lehtonen. "Mixed-type circuits with distributed and lumped parameters." IEEE Transactions on Circuits and Systems 36, no. 8 (1989): 1080–86. http://dx.doi.org/10.1109/31.192416.

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16

Anderson, B. D. O., and P. C. Parks. "Lumped approximation of distributed systems and controllability questions." IEE Proceedings D Control Theory and Applications 132, no. 3 (1985): 89. http://dx.doi.org/10.1049/ip-d.1985.0017.

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17

Carey-Smith, B., P. A. Warr, M. A. Beach, and T. Nesimoglu. "Tunable lumped-distributed capacitively-coupled transmission-line filter." Electronics Letters 40, no. 7 (2004): 434. http://dx.doi.org/10.1049/el:20040291.

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18

Duffett-Smith, P. J. "Synthesis of lumped element, distributed, and planar filters." Journal of Atmospheric and Terrestrial Physics 52, no. 9 (1990): 811–12. http://dx.doi.org/10.1016/0021-9169(90)90015-f.

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19

Mirramezani, Mehran, and Shawn C. Shadden. "A Distributed Lumped Parameter Model of Blood Flow." Annals of Biomedical Engineering 48, no. 12 (2020): 2870–86. http://dx.doi.org/10.1007/s10439-020-02545-6.

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20

Bairamov, F. D. "Stabilization of systems with distributed and lumped parameters." Soviet Applied Mechanics 27, no. 3 (1991): 315–20. http://dx.doi.org/10.1007/bf00888154.

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21

Fry, Timothy, and Reed Maxwell. "Using a Distributed Hydrologic Model to Improve the Green Infrastructure Parameterization Used in a Lumped Model." Water 10, no. 12 (2018): 1756. http://dx.doi.org/10.3390/w10121756.

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Stormwater represents a complex and dynamic component of the urban water cycle. Hydrologic models have been used to study pre- and post-development hydrology, including green infrastructure. However, many of these models are applied in urban environments with very little formal verification and/or benchmarking. Here we present the results of an intercomparison study between a distributed model (Gridded Surface Subsurface Hydrologic Analysis, GSSHA) and a lumped parameter model (the US Environmental Protection Agency (EPA) Storm Water Management Model, EPA-SWMM) for an urban system. The distributed model scales to higher resolutions, allows for rainfall to be spatially and temporally variable, and solves the shallow water equations. The lumped model uses a non-linear reservoir method to determine runoff rates and volumes. Each model accounts for infiltration, initial abstraction losses, but solves the watershed flow equations in a different way. We use an urban case study with representation of green infrastructure to test the behavior of both models. Results from this case study show that when calibrated, the lumped model is able to represent green infrastructure for small storm events at lower implementation levels. However, as both storm intensity and amount of green infrastructure implementation increase, the lumped model diverges from the distributed model, overpredicting the benefits of green infrastructure on the system. We performed benchmark test cases to evaluate and understand key processes within each model. The results show similarities between the models for the standard cases for simple infiltration. However, as the domain increased in complexity the lumped model diverged from the distributed model. This indicates differences in how the models represent the physical processes and numerical solution approaches used between each. When the distributed model results were used to modify the representation of impermeable surface connections within the lumped model, the results were improved. These results demonstrate how complex, distributed models can be used to improve the formulation of lumped models.

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22

U¨nlu¨soy, Y. Samim, and S. Turgut Tu¨mer. "Analytical Dynamic Response of Elastic Cam-Follower Systems with Distributed Parameter Return Spring." Journal of Mechanical Design 115, no. 3 (1993): 612–20. http://dx.doi.org/10.1115/1.2919234.

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An analytical method of solution for the high-speed dynamic response of a lumped/distributed parameter model for cam-follower systems is developed. The model combines the distributed parameter model of the return spring with a viscously damped, single degree-of-freedom, lumped model of the elastic follower train. The cam event is considered as a periodic motion, of period 360 deg, and is represented by its Fourier series approximation. Linear systems approach utilizing four-pole parameter representation of lumped and distributed elements is adopted. The applicability and the accuracy of the method are verified with the aid of the experimental results reported in recent literature on the dynamic response of a high-speed cam-follower system.

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23

Liu, Yaling, Mohamad Hejazi, Hongyi Li, Xuesong Zhang, and Guoyong Leng. "A hydrological emulator for global applications – HE v1.0.0." Geoscientific Model Development 11, no. 3 (2018): 1077–92. http://dx.doi.org/10.5194/gmd-11-1077-2018.

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Abstract. While global hydrological models (GHMs) are very useful in exploring water resources and interactions between the Earth and human systems, their use often requires numerous model inputs, complex model calibration, and high computation costs. To overcome these challenges, we construct an efficient open-source and ready-to-use hydrological emulator (HE) that can mimic complex GHMs at a range of spatial scales (e.g., basin, region, globe). More specifically, we construct both a lumped and a distributed scheme of the HE based on the monthly abcd model to explore the tradeoff between computational cost and model fidelity. Model predictability and computational efficiency are evaluated in simulating global runoff from 1971 to 2010 with both the lumped and distributed schemes. The results are compared against the runoff product from the widely used Variable Infiltration Capacity (VIC) model. Our evaluation indicates that the lumped and distributed schemes present comparable results regarding annual total quantity, spatial pattern, and temporal variation of the major water fluxes (e.g., total runoff, evapotranspiration) across the global 235 basins (e.g., correlation coefficient r between the annual total runoff from either of these two schemes and the VIC is > 0.96), except for several cold (e.g., Arctic, interior Tibet), dry (e.g., North Africa) and mountainous (e.g., Argentina) regions. Compared against the monthly total runoff product from the VIC (aggregated from daily runoff), the global mean Kling–Gupta efficiencies are 0.75 and 0.79 for the lumped and distributed schemes, respectively, with the distributed scheme better capturing spatial heterogeneity. Notably, the computation efficiency of the lumped scheme is 2 orders of magnitude higher than the distributed one and 7 orders more efficient than the VIC model. A case study of uncertainty analysis for the world's 16 basins with top annual streamflow is conducted using 100 000 model simulations, and it demonstrates the lumped scheme's extraordinary advantage in computational efficiency. Our results suggest that the revised lumped abcd model can serve as an efficient and reasonable HE for complex GHMs and is suitable for broad practical use, and the distributed scheme is also an efficient alternative if spatial heterogeneity is of more interest.

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24

Hulkó, G., C. Belavý, J. Belanský, A. Heugerová, and M. Lavrinc. "Control of Distributed Parameter Systems as Lumped Input and Distributed Output Systems." IFAC Proceedings Volumes 31, no. 18 (1998): 781–86. http://dx.doi.org/10.1016/s1474-6670(17)42086-6.

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25

MATSUNO, Fumitoshi, Takashi OHNO, and Miwako TANAKA. "Distributed Parameter Control of Large Space Structures with Lumped and Distributed Flexibility." Transactions of the Society of Instrument and Control Engineers 34, no. 12 (1998): 1889–96. http://dx.doi.org/10.9746/sicetr1965.34.1889.

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26

Duda, Jozef. "A Lyapunov functional for a system with both lumped and distributed delay." Archives of Control Sciences 27, no. 4 (2017): 527–40. http://dx.doi.org/10.1515/acsc-2017-0031.

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AbstractIn the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix. The method of determination of the Lyapunov matrix for time delay system with both lumped and distributed delay is presented. It is given the example illustrating the method.

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27

Yang, B. "Distributed Transfer Function Analysis of Complex Distributed Parameter Systems." Journal of Applied Mechanics 61, no. 1 (1994): 84–92. http://dx.doi.org/10.1115/1.2901426.

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This paper presents a new analytical and numerical method for modeling and synthesis of complex distributed parameter systems that are multiple continua combined with lumped parameter systems. In the analysis, the complex distributed parameter system is first divided into a number of subsystems; the distributed transfer functions of each subsystem are determined in exact and closed form by a state space technique. The complex distributed parameter system is then assembled by imposing displacement compatibility and force balance at the nodes where the subsystems are interconnected. With the distributed transfer functions and the transfer functions of the constraints and lumped parameter systems, exact, closed-form formulation is obtained for various dynamics and vibration problems. The method does not require a knowledge of system eigensolutions, and is valid for non-self-adjoint systems with inhomogeneous boundary conditions. In addition, the proposed method is convenient in computer coding and suitable for computerized symbolic manipulation.

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28

Anderson, A. "Simple First-Order Models for Surging in Pump and Compressor Systems." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 209, no. 3 (1995): 149–54. http://dx.doi.org/10.1243/pime_proc_1995_209_138_02.

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For turbomachine surging arising from interaction between the turbomachine and duct system discharge-pressure characteristics, simple lumped-parameter models for duct inertia, elasticity and losses are used to review existing stability criteria for and descriptions of the phenomenon. Conventional descriptions are shown to relate specifically to lumped-inertia models, whereas different conditions for stable operation are given by lumped-elasticity models. For systems with both inertia and physically discrete elasticity, the stability criteria depend on system configuration and hence such models are not suitable for application to distributed systems. An approach to distributed systems to overcome this limitation is suggested.

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29

Yang, Bingen. "Closed-Form Transient Response of Distributed Damped Systems, Part II: Energy Formulation for Constrained and Combined Systems." Journal of Applied Mechanics 63, no. 4 (1996): 1004–10. http://dx.doi.org/10.1115/1.2787216.

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The transient response analysis presented in Part I is generalized for distributed damped systems which are viscoelastically constrained or combined with lumped parameter systems. An energy formulation is introduced to regain symmetry for the spatial differential operators, which is destroyed in the original equations of motion by the constraints, and the coupling of distributed and lumped elements. As a result, closed-form solution is systematically obtained in eigenfunction series.

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30

Paudel, Murari, E. James Nelson, Charles W. Downer, and Rollin Hotchkiss. "Comparing the capability of distributed and lumped hydrologic models for analyzing the effects of land use change." Journal of Hydroinformatics 13, no. 3 (2010): 461–73. http://dx.doi.org/10.2166/hydro.2010.100.

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Empirically based lumped hydrologic models have an extensive track record of use for various engineering applications. Physically based, multi-dimensional distributed models have also been in development and use for many years. Despite the availability of high resolution data, better computational resources and robust, numerical methods implemented in such models, their usage is still limited, especially in the realm of surface water runoff simulation. Lumped models are often extended to solve complex hydrologic problems that may be beyond their capabilities. Here we attempt to differentiate the ability of lumped and distributed models to analyze a common watershed development issue such as land use change. For this, we employ two common US Army Corps of Engineers (USACE) models, well established in the literature and application, using the Hydrologic Engineering Center – Hydrologic Modeling System (HEC-HMS) model in a fully lumped mode and the fully distributed model Gridded Surface Subsurface Hydrologic Analysis (GSSHA). A synthetic watershed is used to establish that a distributed model like GSSHA more intuitively simulates land use change scenarios by distinguishing the spatial location of the change and its effects on the watershed response. An actual watershed at Tifton, Georgia is used to validate the observations made from the synthetic watershed.

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31

Gibson, A. A. P., and B. M. Dillon. "Variational solution of lumped element and distributed electrical circuits." IEE Proceedings - Science, Measurement and Technology 141, no. 5 (1994): 423–28. http://dx.doi.org/10.1049/ip-smt:19941205.

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32

Loncar, Josip, Silvio Hrabar, and Damir Muha. "Stability of Simple Lumped-Distributed Networks With Negative Capacitors." IEEE Transactions on Antennas and Propagation 65, no. 1 (2017): 390–95. http://dx.doi.org/10.1109/tap.2016.2627023.

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33

Zemanian, A. H., and Yaw-Fu Jan. "Transmission decomposition and crosstalk evaluation in lumped-distributed networks." IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 42, no. 7 (1995): 346–53. http://dx.doi.org/10.1109/81.401144.

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34

Marinov, C. A. "Transient bounding in networks with distributed and lumped parameters." IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 45, no. 1 (1998): 11–25. http://dx.doi.org/10.1109/81.660746.

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35

Zyari, Maral, and Yves Rolain. "Identifying Multiple Reflections in Distributed-Lumped High-Frequency Structures." IEEE Transactions on Microwave Theory and Techniques 64, no. 4 (2016): 1306–12. http://dx.doi.org/10.1109/tmtt.2016.2535301.

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36

Cooper, D. J., W. F. Ramirez, and D. E. Clough. "Comparison of linear distributed-parameter filters to lumped approximants." AIChE Journal 32, no. 2 (1986): 186–94. http://dx.doi.org/10.1002/aic.690320203.

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37

Hayashi, N., and Y. Nakatani. "Lumped Constant and Distributed Models of Vertical Bloch Lines." IEEE Translation Journal on Magnetics in Japan 1, no. 9 (1985): 1148–50. http://dx.doi.org/10.1109/tjmj.1985.4549106.

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38

Zaviyalov, Alexandr, Rumen Iliew, Oleg Egorov, and Falk Lederer. "Lumped versus distributed description of mode-locked fiber lasers." Journal of the Optical Society of America B 27, no. 11 (2010): 2313. http://dx.doi.org/10.1364/josab.27.002313.

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39

Kitsios, E. E., and R. F. Boucher. "Stability analysis of mixed lumped—distributed parameter (delay) systems." Journal of the Franklin Institute 320, no. 3-4 (1985): 133–50. http://dx.doi.org/10.1016/0016-0032(85)90040-7.

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40

Vidyasagar, M., and B. D. O. Anderson. "Approximation and stabilization of distributed systems by lumped systems." Systems & Control Letters 12, no. 2 (1989): 95–101. http://dx.doi.org/10.1016/0167-6911(89)90001-7.

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41

Vogel, R. W. "Analysis and design of lumped- and lumped-distributed-element directional couplers for MIC and MMIC applications." IEEE Transactions on Microwave Theory and Techniques 40, no. 2 (1992): 253–62. http://dx.doi.org/10.1109/22.120097.

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42

Yang, T., and C. Lin. "Estimation of Distributed Unbalance of Rotors." Journal of Engineering for Gas Turbines and Power 124, no. 4 (2002): 976–83. http://dx.doi.org/10.1115/1.1479336.

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Mass unbalance commonly causes vibration of rotor-bearing systems. Lumped mass modeling of unbalance was adapted in most previous research. The lumped unbalance assumption is adequate for thin disks or impellers, but not for thick disks or shafts. Lee et al. (Lee, A. C., et al., 1993, “The Analysis of Linear Rotor-Bearing Systems: A General Transfer Matrix Method,” ASME J. Vib. Acoust., 115, pp. 490–497) proposed that the unbalance of shafts should be continuously distributed. Balancing methods based on discrete unbalance models may not be very appropriate for rotors with distributed unbalance. A better alternative is to identify the distributed unbalance of shafts before balancing. In this study, the eccentricity distribution of the shaft is assumed in piecewise polynomials. A finite element model for the distributed unbalance is provided. Singular value decomposition is used to identify the eccentricity curves of the rotor. Numerical validation of this method is presented and examples are given to show the effectiveness of the identification method.

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43

Hulkó, G., J. Belanský, C. Belavý, et al. "Self-Tuning Control of Lumped Input and Distributed Output Systems." IFAC Proceedings Volumes 28, no. 13 (1995): 437–42. http://dx.doi.org/10.1016/s1474-6670(17)45389-4.

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44

Bairamov, F. D., and M. Yu Safronov. "The stability of systems with distributed parameters and lumped forces." Journal of Applied Mathematics and Mechanics 66, no. 3 (2002): 341–45. http://dx.doi.org/10.1016/s0021-8928(02)00043-6.

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45

Hulkó, G., L. Sapák, I. Navračič, D. Janíková, and J. Kovalcik. "Methods of Identification of Lumped Input and Distributed Output Systems." IFAC Proceedings Volumes 24, no. 3 (1991): 1161–66. http://dx.doi.org/10.1016/s1474-6670(17)52507-0.

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46

Han-Ping Chen, Jaesoo Ahn, Paul C. McIntyre, and Yuan Taur. "Comparison of Bulk-Oxide Trap Models: Lumped Versus Distributed Circuit." IEEE Transactions on Electron Devices 60, no. 11 (2013): 3920–24. http://dx.doi.org/10.1109/ted.2013.2281298.

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47

Grassberger, Peter. "Information content and predictability of lumped and distributed dynamical systems." Physica Scripta 40, no. 3 (1989): 346–53. http://dx.doi.org/10.1088/0031-8949/40/3/016.

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48

Chen, C. F., and C. H. Hsiao. "Haar wavelet method for solving lumped and distributed-parameter systems." IEE Proceedings - Control Theory and Applications 144, no. 1 (1997): 87–94. http://dx.doi.org/10.1049/ip-cta:19970702.

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49

Mohan, B. M., and K. B. Datta. "Lumped and Distributed Parameter System Identification Via Shifted Legendre Polynomials." Journal of Dynamic Systems, Measurement, and Control 110, no. 4 (1988): 436–40. http://dx.doi.org/10.1115/1.3152709.

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In this paper, one shot operational matrix for repeated integration of the shifted Legendre polynomial basis vector is developed and double-shifted Legendre series is introduced to approximate functions of two independent variables. Then using these, systematic algorithms for the identification of linear time-invariant single input-single output continuous lumped and distributed parameter systems are presented. Illustrative examples are provided with satisfactory results.

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50

Kian Sen Ang, Yoke Choy Leong, and Chee How Lee. "Analysis and design of miniaturized lumped-distributed impedance-transforming baluns." IEEE Transactions on Microwave Theory and Techniques 51, no. 3 (2003): 1009–17. http://dx.doi.org/10.1109/tmtt.2003.808677.

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