By Istvan Novak, Jason R. Miller

Degree, simulate, and version strength distribution networks (PDNs) effectively and successfully with this new, state of the art source. Frequency-domain research has revolutionized part layout, and this e-book exhibits you, step by step, the way to safely represent PDN parts within the frequency area together with vias, skip capacitors, planes, DC-DC converters and structures. Guiding you thru the numerous choices to characterizing PDNs, it enables you to enhance accuracy by way of selecting the best strategy and fending off the typical pitfalls.Practical examples indicate the strengths and weaknesses of simulation instruments in addition to clarify environment parameters and suggestions. The ebook offers most sensible practices for measuring that assist you within the number of calibration tactics, tools, probes, and cables. You how to use frequency-domain simulations and measurements to version printed-circuit board parts, together with vias, planes, pass capacitors, inductors, and DC-DC converters. Over three hundred illustrations and greater than one hundred fifty equations help key subject matters during the ebook.

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In the next section, we review the different types of field solvers that can be used for simulating elements of the PDN in the frequency domain. Although general tool usage is outside the scope of this book, a list of many potential simulation pitfalls is discussed in the subsequent sections. 1 Classifications There are a number of ways to classify field solvers. For the practicing engineer, it may be important to select a field solver based on the type of geometry we are trying to solve. , frequency and time domain) in order to understand the advantages and disadvantages depending on the type of problem we are trying to solve.

31 1,000-µm picoprobes connected to the test structure from opposite sides. 32 Measured and simulated (a) loop inductance and (b) impedance magnitude using different basis functions. , ω) slope. The ω dependency is removed for the inductance plot, so the difference is larger (visually). The computation penalty for the enhanced accuracy is 40 Simulation Methods and Tools a solve time that increased by a factor of 10. The impact of using a zero order basis function depends on the size of the structure and the number of tetrahedrons.

Full-wave solvers are important when one must accurately account for displacement currents, electromagnetic radiation, and field coupling. 1 would only provide the low-frequency capacitive slope. The displacement current through the dielectric would not be captured, nor would the modal resonances, since the standing waves created by the plane boundaries would not be included. Due to the decoupling between electric and magnetic fields under quasi-static conditions, a quasi-static field solver is quicker and can solve much bigger problems than a full-wave solver.

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