power plane resonance


For a board with dimensions a and b, and with spacing between power and ground given by h, the resonant frequencies are: Resonant frequencies for a general cavity resonator, assuming a rectangular structure. Power Plane Resonance Analysis in Your PCB. Stephen encourages and motivates PCB designers like you to keep learning and succeed in the electronics industry. Just as an example, for an 8 mil thick dielectric with Dk = 4, the lowest order vertical resonance (k = 1) is 375 GHz. ;] G5C#-^6[9,8a,I_J\XxxLQQzY{Bb{ hN{O EMC]IqQl#._"z}i2(~ {7y&.sY[\g~*C5N23MrMkm3vApxmhd+2G940'kwV=].u ]0l^)We&k[w}>| hA63)f[esj7*S0prg:{* %D @!4^'+=pxN?xG\?a+ ( Q q 599.04 0 0 25.2 0 88.08 cm /im60 Do endstream endobj 60 0 obj 43 endobj 61 0 obj << /Length 60 0 R >> stream You can do these simulations with your Altium Designer PCB layout by exporting your design into an Ansys field solver format using the EDB Exporter extension. Typical values for the lowest order PDN impedance range from 100 MHz to above 1 GHz, depending on the dimensions of the board and the spacing between planes in the structure. Q q 599.04 0 0 25.2 0 440.88 cm /im46 Do endstream endobj 32 0 obj 44 endobj 33 0 obj << /Length 32 0 R >> stream trailer Q q 599.04 0 0 25.2 0 617.28 cm /im39 Do endstream endobj 18 0 obj 44 endobj 19 0 obj << /Length 18 0 R >> stream Tj 0 Tr 15.6788 0 TD 3 Tr 0.639 Tc -0.3835 Tw (According ) Tj 0 Tr 50.9562 0 TD 3 Tr 0.5429 Tc -0.2714 Tw (to ) Tj 0 Tr 14.5589 0 TD 3 Tr 0.4826 Tc -0.201 Tw ([3] ) Tj 0 Tr 15.1189 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 19.3186 0 TD 3 Tr 0.5171 Tc -0.2413 Tw (cut-off ) Tj 0 Tr -265.9803 -10.8 TD 3 Tr 0.6345 Tc -0.3783 Tw (frequency ) Tj 0 Tr 48.7164 0 TD 3 Tr 0.5094 Tc -0.2323 Tw (for ) Tj 0 Tr 16.5188 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 18.4786 0 TD 3 Tr 0.4183 Tc -0.126 Tw (first ) Tj 0 Tr 22.6783 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (higher ) Tj 0 Tr 33.0376 0 TD 3 Tr 0.6113 Tc -0.3512 Tw (order ) Tj 0 Tr 28.8379 0 TD 3 Tr 0.6837 Tc -0.4356 Tw (\(TE ) Tj 0 Tr 22.3983 0 TD 3 Tr 0.7239 Tc -0.4825 Tw (and ) Tj 0 Tr 20.4385 0 TD 3 Tr 0.7507 Tc -0.5138 Tw (TM\) ) Tj 0 Tr 25.1981 0 TD 3 Tr 0.7722 Tc -0.5389 Tw (modes ) Tj 0 Tr 33.0376 0 TD 3 Tr 0.4625 Tc -0.1776 Tw (is ) Tj 0 Tr -269.06 -42.72 TD 3 Tr 0.5731 Tc -0.3066 Tw (with ) Tj 0 Tr 25.4781 0 TD 3 Tr 0.6435 Tc -0.3887 Tw (c ) Tj 0 Tr 8.6794 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 19.5985 0 TD 3 Tr 0.7078 Tc -0.4638 Tw (speed ) Tj 0 Tr 30.7977 0 TD 3 Tr 0.5429 Tc -0.2714 Tw (of ) Tj 0 Tr 13.159 0 TD 3 Tr 0.4746 Tc -0.1917 Tw (light ) Tj 0 Tr 25.7581 0 TD 3 Tr 0.5027 Tc -0.2245 Tw (in ) Tj 0 Tr 13.719 0 TD 3 Tr 0.6952 Tc -0.449 Tw (vacuum. ) Q BT 0.8572 0 0 1 30.96 728.64 Tm 3 Tr 0 0 0 rg /F0 8.88 Tf 0.5329 Tc -0.2597 Tw (Fig. ) Whenever a power/ground plane pair is excited with a current pulse, that pulse emits some electromagnetic radiation, and that radiation can excite structural resonances at specific frequencies. dimensions are 66 in., the time delay for signals trapped between the VCC It is possible to reduce resonance by changing capacitor placement, and now EMIStream allows you to take via placement into account and change/add locations as needed. All digital components produce and manipulate wideband signals, where the frequency content theoretically extends up to infinite frequency. Start your free trial of Altium Designer + Altium 365 today. Tj 0 Tr 13.159 0 TD 3 Tr 0.4625 Tc -0.1776 Tw (is ) Tj 0 Tr -288.6586 -10.56 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 18.4786 0 TD 3 Tr 0.5228 Tc -0.248 Tw (relative ) Tj 0 Tr 38.3572 0 TD 3 Tr 0.5128 Tc -0.2362 Tw (permittivity ) Tj 0 Tr 60.4755 0 TD 3 Tr 0.5429 Tc -0.2714 Tw (of ) Tj 0 Tr 11.7591 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 19.3186 0 TD 3 Tr 0.4972 Tc -0.2181 Tw (dielectric, ) Tj 0 Tr 48.4364 0 TD 3 Tr 0.8245 Tc -0.5998 Tw (Ro ) Tj 0 Tr 15.9588 0 TD 3 Tr 0.7641 Tc -0.5295 Tw (= ) Tj 0 Tr 12.0391 0 TD 3 Tr 0.3217 Tc -0.0134 Tw (fi ) Tj 0 Tr 26.318 0 TD 3 Tr 1.0457 Tc -0.8579 Tw (M ) Tj 0 Tr 11.7591 0 TD 3 Tr 0.732 Tc -0.4919 Tw (1207~ ) Tj 0 Tr 25.4781 0 TD 3 Tr 0.925 Tc -0.7171 Tw (R ) Tj 0 Tr -288.3786 -10.8 TD 3 Tr 0.4625 Tc -0.1776 Tw (is ) Tj 0 Tr 10.9192 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 18.4786 0 TD 3 Tr 0.5631 Tc -0.2949 Tw (free ) Tj 0 Tr 20.4385 0 TD 3 Tr 0.6918 Tc -0.445 Tw (space ) Tj 0 Tr 29.1178 0 TD 3 Tr 0.7016 Tc -0.4565 Tw (impedance ) Tj 0 Tr 54.036 0 TD 3 Tr 0.7239 Tc -0.4825 Tw (and ) Tj 0 Tr 20.9984 0 TD 3 Tr 0.744 Tc -0.506 Tw (uZ ) Tj 0 Tr 15.6788 0 TD 3 Tr 0.7239 Tc -0.4825 Tw (and ) Tj 0 Tr 20.4385 0 TD 3 Tr 0.744 Tc -0.506 Tw (uZ ) Tj 0 Tr 15.9588 0 TD 3 Tr 0.6301 Tc -0.3731 Tw (are ) Tj 0 Tr 17.9187 0 TD 3 Tr 0.7105 Tc -0.4669 Tw (umt ) Tj 0 Tr 22.3983 0 TD 3 Tr 0.5681 Tc -0.3007 Tw (vectors. ) Tj 0 Tr 22.6783 0 TD 3 Tr 0.7239 Tc -0.4825 Tw (3 ) Tj 0 Tr 8.6794 0 TD 3 Tr 0.732 Tc -0.4919 Tw (shows ) Tj 0 Tr 31.0777 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 19.0386 0 TD 3 Tr 0.553 Tc -0.2831 Tw (transfer ) Tj 0 Tr 40.597 0 TD 3 Tr 0.7016 Tc -0.4565 Tw (impedance ) Tj 0 Tr 53.476 0 TD 3 Tr 0.5094 Tc -0.2323 Tw (for ) Tj 0 Tr 16.7988 0 TD 3 Tr 0.496 Tc -0.2167 Tw (Vl, ) Tj 0 Tr 20.4385 0 TD 3 Tr 0.5832 Tc -0.3183 Tw (calculated ) Tj 0 Tr 50.3963 0 TD 3 Tr 0.5731 Tc -0.3066 Tw (with ) Tj 0 Tr -274.6596 -11.04 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 17.9187 0 TD 3 Tr 0.8446 Tc -0.6233 Tw (FDTD ) Tj 0 Tr 34.4374 0 TD 3 Tr 0.5671 Tc -0.2996 Tw (algorithm. ) Mark Harris demonstrates the advantages of multi-board assemblies when creating your own surface mount module. double-sided FR-4 core). Q q 599.04 0 0 25.2 0 113.28 cm /im59 Do endstream endobj 58 0 obj 43 endobj 59 0 obj << /Length 58 0 R >> stream %%EOF Enthalpy of combustion denotes the amount of heat released when fuel is burned under controlled conditions. Why worry about k = 0? Subscribe to our newsletter for the latest updates. As with any new technology in PCB manufacturing, there were people that are excited to jump right in and start designing with much finer feature sizes and work through the inevitable changes to the traditional thought process. All real power plane arrangements in a PCB have some resonances, and these resonances can be excited by emission of a propagating electromagnetic wave in the structure. This is the type of curve that would be measured directly on the die after any passive regulation section; note that this does not include pin-package inductance due to the bond wire or lead frame. 0000008497 00000 n This type of lumped element model and a link to this paper can be found below. 0000002624 00000 n %PDF-1.2 % a clock), the reflected noise builds to a significant degree. His work has been published in over a dozen peer-reviewed journals and conference proceedings, and he has written 1000+ technical blogs on PCB design for a number of companies. 0000032670 00000 n Q q 599.04 0 0 25.2 0 239.28 cm /im54 Do endstream endobj 48 0 obj 44 endobj 49 0 obj << /Length 48 0 R >> stream Q q 599.04 0 0 25.2 0 516.48 cm /im43 Do endstream endobj 26 0 obj 44 endobj 27 0 obj << /Length 26 0 R >> stream I wish the world were that simple. Instead, they constitute a distributed system of xref Tj 0 Tr ET BT 0.8593 0 0 1 204.72 628.56 Tm 3 Tr /F0 6.96 Tf 0.8252 Tc -0.6965 Tw (@BC ) Tj 0 Tr -189.3591 -12.96 TD 3 Tr 0.5327 Tc -0.3561 Tw (E. ) Tj 0 Tr 141.0418 0.96 TD 3 Tr 0.5275 Tc -0.3501 Tw (1 ) Tj 0 Tr 102.779 3.6 TD 3 Tr 0.3499 Tc -0.1435 Tw (+-I ) Tj 0 Tr -14.8024 -5.76 TD 3 Tr 0.6646 Tc -0.5096 Tw (Eo ) Tj 0 Tr 22.064 0 TD 3 Tr 0.7694 Tc -0.6316 Tw (ABC ) Tj 0 Tr -271.7499 -10.08 TD 3 Tr 0.3525 Tc -0.1465 Tw (r* ) Tj 0 Tr -6.4237 -5.28 TD 3 Tr 0.7694 Tc -0.6316 Tw (ABC ) Tj 0 Tr 163.1058 -20.16 TD 3 Tr 0.7775 Tc -0.641 Tw (ABCA ) Tj 0 Tr 155.8443 7.44 TD 3 Tr 0.8016 Tc -0.6691 Tw (V ) Tj 0 Tr ET BT 0.8841 0 0 1 73.68 551.04 Tm 3 Tr /F0 9.84 Tf 0.5517 Tc -0.3005 Tw (Fig. ) Q q 599.04 0 0 25.2 0 592.08 cm /im40 Do endstream endobj 20 0 obj 44 endobj 21 0 obj << /Length 20 0 R >> stream 0000005299 00000 n <]>> Tj 0 Tr -10.6392 -10.56 TD 3 Tr 0.7373 Tc -0.4982 Tw (The ) Tj 0 Tr 22.9583 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (basic ) Tj 0 Tr 28.2779 0 TD 3 Tr 0.5791 Tc -0.3136 Tw (simulation ) Tj 0 Tr 54.036 0 TD 3 Tr 0.6918 Tc -0.445 Tw (space ) Tj 0 Tr 29.9578 0 TD 3 Tr 0.5832 Tc -0.3183 Tw (consists ) Tj 0 Tr 40.877 0 TD 3 Tr 0.5429 Tc -0.2714 Tw (of ) Tj 0 Tr 13.439 0 TD 3 Tr 0.7239 Tc -0.4825 Tw (a ) Tj 0 Tr 9.7993 0 TD 3 Tr 0.5923 Tc -0.329 Tw (rectangular ) Tj 0 Tr 57.6757 0 TD 3 Tr 0.6998 Tc -0.4544 Tw (mesh, ) Tj 0 Tr -268.7801 -10.8 TD 3 Tr 0.5731 Tc -0.3066 Tw (with ) Tj 0 Tr 25.1981 0 TD 3 Tr 0.7239 Tc -0.4825 Tw (an ) Tj 0 Tr 15.1189 0 TD 3 Tr 0.6345 Tc -0.3783 Tw (absorbing ) Tj 0 Tr 49.5563 0 TD 3 Tr 0.6787 Tc -0.4298 Tw (boundary ) Tj 0 Tr 48.9964 0 TD 3 Tr 0.5765 Tc -0.3105 Tw (condition ) Tj 0 Tr 48.4364 0 TD 3 Tr 0.6998 Tc -0.4544 Tw (\(ABC\) ) Tj 0 Tr 34.9974 0 TD 3 Tr 0.5429 Tc -0.2714 Tw (at ) Tj 0 Tr 12.879 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 19.3186 0 TD 3 Tr 0.6502 Tc -0.3965 Tw (edges, ) Tj 0 Tr 31.6377 0 TD 3 Tr 0.5429 Tc -0.2714 Tw (to ) Tj 0 Tr -286.1388 -10.8 TD 3 Tr 0.5982 Tc -0.3359 Tw (simulate ) Tj 0 Tr 44.5167 0 TD 3 Tr 0.7239 Tc -0.4825 Tw (an ) Tj 0 Tr 16.5188 0 TD 3 Tr 0.4675 Tc -0.1834 Tw (infinite ) Tj 0 Tr 38.0772 0 TD 3 Tr 0.6368 Tc -0.3809 Tw (space. ) 0000002807 00000 n Q q 599.04 0 0 12.48 0 0 cm /im64 Do endstream endobj 68 0 obj 40928 endobj 69 0 obj << /Length 68 0 R >> stream Tj 0 Tr 46.1966 0 TD 3 Tr 0.5429 Tc -0.2714 Tw (In ) Tj 0 Tr 14.5589 0 TD 3 Tr 0.6301 Tc -0.3731 Tw (our ) Tj 0 Tr 19.8785 0 TD 3 Tr 0.6837 Tc -0.4356 Tw (case ) Tj 0 Tr 23.2383 0 TD 3 Tr 0.5027 Tc -0.2245 Tw (this ) Tj 0 Tr 22.1184 0 TD 3 Tr 0.5688 Tc -0.3016 Tw (implies ) Tj 0 Tr -263.1805 -10.8 TD 3 Tr 0.5429 Tc -0.2714 Tw (that ) Tj 0 Tr 23.2383 0 TD 3 Tr 0.6757 Tc -0.4262 Tw (below ) Tj 0 Tr 30.5177 0 TD 3 Tr 0.791 Tc -0.5607 Tw (416GHz ) Tj 0 Tr 41.4369 0 TD 3 Tr 0.5932 Tc -0.3301 Tw (only ) Tj 0 Tr 23.5183 0 TD 3 Tr 0.6033 Tc -0.3418 Tw (the ) Tj 0 Tr 19.0386 0 TD 3 Tr 0.8848 Tc -0.6702 Tw (TEM ) Tj 0 Tr 28.2779 0 TD 3 Tr 0.8044 Tc -0.5764 Tw (mode ) Tj 0 Tr 28.5579 0 TD 3 Tr 0.4424 Tc -0.1541 Tw (will ) Tj 0 Tr 20.4385 0 TD 3 Tr 0.6234 Tc -0.3653 Tw (propagate. )

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