coplanar differential pair impedance calculator. Cross-section geometry of a stripline trace. coplanar differential pair impedance calculator

 
 Cross-section geometry of a stripline tracecoplanar differential pair impedance calculator  Dual stripline

Therefore i tried using this paper to calculate a characteristic impedance of 60Ohm for a coplanar strip attaching the CAN-Transceiver to a Twisted Pair cable, the CAN bus medium. Unfortunately, stating “should match the input impedance of the differential vias/pads” in Point #3 is easier said than done. , in u-v plane), where M(u,v) is defined as in eqn. Simons, "Coplanar Waveguide Circuits, Components, and Systems", Wiley. 3mm of the microcontroller), therefore i rounded the width to 0. When you want to determine the width and length of a microstrip line for any given characteristic impedance and electrical length, or vice versa, a microstrip calculator is the right tool to do so. Crosstalk Area. If you have a dense 16-layer board, and your note reads: “All signal layers: 0. For example, high-speed designs rely on controlled impedance with differential pair routing guidelines, while high-current DC designs need to have wide traces that do not necessarily have specific impedance. Altium Designer makes it easy to calculate geometry when you need to calculate impedance for differential pairs. 25mm between the differential pair with a width of 0. It offers 3 technology levels with respect to different parameters such as trace geometry, drill sizes, spacing, and cost index. This documentation page references Altium NEXUS/NEXUS Client (part of the deployed NEXUS solution), which has been discontinued. Such a stripline is constructed with two traces referenced to the same reference planes above and below the traces with a dielectric material between them. What is the impedance of a coplanar waveguide? The typical impedance of a coplanar waveguide (CPW) is around 50-100 ohms. Coplanar structure. One: A quick solving calculator lets you seek a target impedance by varying any one parameter, it could be line width, stack height or Er; you choose the variable and set the goal seek – you can even set realistic targets for your own production limits. One of the features of this type of microstrip is the coupling between lines. 8 substrates of various thicknesses. Converts C to F, F to C. Dual Stripline. The differential impedance is measured across the two lines with the pair driven differentially. 3 as fr4 material with 1. Useful converters and calculators. 35,851. There is no closed-form equation like equation (4) for surface or embedded microstrip of any track thickness. This calculator is designed to calculate the characteristic impedance of a symmetric stripline - a flat conductor between two ground planes whose distance between the conductor and the planes is the same for both reference planes. Grounded Differential Coplanar Wave Guide. Differential Impedance Ω. An impedance table should also be included in the fab drawing. Embedded Microstrip. Converts mm to mils, mils to mm. 1 Answer. Dimensions are in meters. 9. Right now, we have Excel spreadsheets for: Synthesizing lumped-element Chebyshev. A differential stripline pair refers to two traces located between two reference plane layers, which are routed as a differential pair. usb on a 1. There is a slightly different, but tightly coupled question here with this impedance calculator: "stripline differential impedance": Stripline here seems to be placed in some inside layer. Remember, the trace width on a standard thickness PCB with two layers was about 110. Overview. 6193. The differential impedance target, as well as the single-ended impedance of each trace, is maintained by keeping the spacing between the two traces constant. Parasitics affect signals in two ways: Skew in differential pairs: Parasitics (mostly capacitance) on one line will decrease the signal velocity relative to the other line, causing excess skew. 1. Let's match the impedance of the same signal since differential pair routing is completed when the impedance is matched properly. Although the differential impedance will change with temperature, it will be tiny (the impedance goes down with decreasing temperature). H 1 H 1 = subtrate height 1. So, to calculate the differential impedance of Figure 1, simply calculate the impedance of Figure 3, and double it. Our impedance calculator features two main types of impedance models, single-ended and differential, within each trace structure. 2. • Ground planes must not be broken in the GND reference layer immediately beneath he transmission line. Differential Pair Impedance (Z_diff) = (2 × Z_single) / sqrt (1 + (2d / s)) Where: Differential Pair Impedance (Z_diff) represents the characteristic impedance of the differential. 1. Thus, the author. Here is a problem, I am simulating a grounded coplanar waveguide with width of 0. 45 for gold. 30967mm) is slightly larger the size of the smallest pad (0. Saturn PCB Design Toolkit Differential Pair Impedance Calculator. Be sure to check our download area for stuff we couldn't fit into a simple HTML calculator. INPUT DATA. The PCB design tools in Allegro include an impedance calculator that will help you size your traces so that they have defined characteristic impedance. mm mils. Even mode impedance for commonly-driven transmission lines . T T = trace thickness. The iCD Stackup Planner offers unprecedented simulation speed, ease of use and industry leading impedance accuracy at an affordable. 1. pH nH uH mH H kH. 81. All your PCB design, data management and collaboration needs can now. 5. Calculate Coplanar impedance for given PCB parameters. Signal integrity issues may result from the discontinuity in impedance caused by components and vias. Coplanar Waveguide Analysis/Synthesis Calculator. A mistake was made when designing a set of mother and daughter PCBs, resulting the daughter board to have its LVDS pairs at ~100Ω differential impedance, while the motherboard ~90Ω. 5ns at 67% speed of light is 1m, and we should be less than 1/4th this to avoid transmission line effects, or 25cm. Single-Ended Impedance The trace impedance (single-ended) in an individual trace is normally calculated by ignoring. We will assume here that both of the lines of the pair are identical and uniform. Edge Coupled Stripline Impedance Formula. . If a coplanar arrangement is selected, you can approximate this trace. The differential pair is all about balance. Differential impedance is another factor you should probably consider when dealing with impedance. Lumped Port Impedance - User Specified The complex impedance Z s, defined when the port gets created, serves as the source impedance of the S-matrix of the lumped port. 5. H 2 is the subtrate h2. D+ and D-) _P/_N (e. Coplanar microstrip routing: In coplanar microstrip routing, the signal trace is routed in parallel to two ground planes. Don’t forget to check out our other. , power and/or GND) constitutes a stripline layout. The PCB design tools in Allegro include an impedance calculator that will help you size your traces so that they have defined characteristic impedance. g. Characteristic impedance Z 0 of microstrip is also a function of the ratio of the height to the width W/H (and ratio of width to height H/W) of the transmission line, and also has separate solutions depending on the value of W/H. This calculator can calculate the impedance and propagation delay of the embedded microstrip. 1,235. It is important to determine the characteristic impedance of a twisted-pair cable because this impedance should match the. – Construct high-speed vias with controlled impedance. Gain in dB, Voltage gain. Reference plane assignment validation Critical placement and routing. Our design process, experience and expertise in both PCB Design and Simulation adds value by reducing board iterations and time to market. the PCB power-ground plane pair can simply be modeled as a series connected resistor, inductor,. 2. A Grounded Differential Coplanar Waveguide (GDCPW) is a transmission line structure used in RF and microwave circuits. A coplanar waveguide calculator will operate in one of two ways. 2. Where: Z0 Z 0 = characteristic impedance of the asymmetric stripline in ohms (Ω). The distance between the differential pair should be decided as per the stack-up design. Relative Dielectric Constant ( εr ): Track Width (S): mm. then select Single-Coplanar or Differential-Coplanar from the Impedance Profile Type drop-down list. A coplanar waveguide calculator will operate in one of two ways. This simple coplanar electrode setup utilizes the EDL capacitance and the inhomogeneous electric field to accurately determine the particle size and position using the measured opacity. Create a coplanar waveguide transmission line using a gold substrate as the dielectric. 5. They offer different approaches to laying out the circuit and, also, the choice of PCB material for a circuit design can have an impact on the final performance possible with each circuit technology. Use an online differential stripline impedance calculator Calculating Differential vs. com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals. T represents trace thickness. The ground plane helps keep the EMI localized and the trace impedance continuous. ENIG plating always provides greater total losses. So lets assume you want a 50 ohm impedance trace and you are using 1oz copper and have a standard 0. Track Width. Grounded Differential Coplanar Waveguide Calculator Width (W) in micrometers: Gap (G) in micrometers: Height (H) in micrometers: Substrate Height (Hs). 29 mm width traces to obtain 100 Ohms ZDiff while using 0. calculate the surface impedance instead of using scaled surface impedance. 127 mm). With PCBWay impedance calculator, you can calculate the approximate impedance of your PCB / high frequency circuit board. Added 2. In other words, if you are designing to hit a differential impedance target (such as. This difference should not be surprising as differential channels have their impedance defined by the spacing between the two traces in the pair. Modern digital systems and low-level analog boards need methods for achieving precise characteristic impedance calculations and impedance control. This calculator is designed to calculate the characteristic impedance of an embedded microstrip - a flat conductor suspended over a ground plane with a dielectric between it and another dielectric material. High-speed designs carry a requirement for controlled impedance, crosstalk control, and the need for interplane capacitance. These transmission line arrangements are standard trace geometries implemented in PCB design software. The Differential Pairs Editor mode of the PCB panel can be used to create and edit differential pairs. Stripline construction usually does not require ground stitching, sometimes it's better no having vias around. There is only one method I am aware of that gives any level of accuracy for differential via impedance calculations, and it starts from a calculation of the propagation delay through a pair of differential vias. The Si8000 Quick Solver is convenient to use for this purpose, as shown in Figure 4. Step 8: Select View Impedance Tables. For Dk = 3 to about Dk = 4, the frequency range where controlled impedance will be needed is slightly above about 3-5 GHz (see the. 6mm thick board always calls for crazy thick traces, instead focus on keeping the distance you need to route your USB lines short, this way you dont need to worry about impedance anywhere near as much, you can reduce how much trace width you need a bit by routing a picketed ground along side the differential pair. Distance between pairs should be (traces on top layer = microstrip) 4 times the layer. Using an online differential impedance calculator, the height of the dielectric layer, h, is needed. 1. This technique is used for routing internal layer differential pairs. Coplanar Waveguide with Ground Characteristic Impedance Calculator. Creating and Configuring an Impedance Profile. The KiCad PCB Calculator is a set of utilities to help you find the values of components or other parameters of a layout. Both LM and CM converge to zero as spacing goes to infinity. 6mm thick board always calls for crazy thick traces, instead focus on keeping the distance you need to route your USB lines short, this way you dont need to worry about impedance anywhere near as much, you can reduce how much trace width you need a bit by routing a picketed ground along side the differential pair. 5 ohms (coplanar with ground, gap size 0. Dielectric Thickness: mm. If you’re designing an RF PCB for microwave or higher frequencies, controlled impedance routing should be top of mind to ensure signal. Track and gap widths are of concern in controlled impedance, but unless your speaker and mic connections (I assume audio frequencies) are going a long way you should not have any particular requirement for controlled impedance. The impedance of a differential via pair cannot be treated with a single via impedance calculator unless the vias are spaced far apart. 1) Make sure you have half the differential impedance between the individual traces and the reference plane below. Impedance captures the real. Optimize the signal delay in vias. The Polar Si8000m and Si9000e field solvers include a range of controlled impedance structures for modelling differentials without grounds (no reference planes. The impedance information must be included by the layout designer in the fabrication drawing notes. 29mm, space between trace and top ground is also 0. The JLCPCB Impedance Calculator computes track width values and recommended stack-ups from user-input values of board layer, thickness, copper weight, target impedance, trace spacing (for edge-coupled pairs), and impedance trace to copper gap (coplanar waveguides). and thats the first time iam doing ethernet things. . 1. There are four different types of impedance used in characterizing differential trace impedances. The resistance value chosen for the two resistors will be referred to as R D (for d rain resistance). We get a lot of questions about trace impedance and how to calculate the right trace size to hit a specific impedance in a manufacturable PCB. Differential Pair Impedance Calculator. Characteristic. In general, at microwave frequencies, microstrip circuits will suffer less loss than GCPW circuits, especially due to manufacturing variations. This is the odd-mode impedance of the differential pair. The board house achieves these tolerances by observing how their process affects impedance. To calculate geometry for 90OHMs Differential pairs routed on 2 layer PCB (Differential impedance of Microstrips) you need to know: width of the traces, space (gap) between the traces, height of dielectric above return plane, trace thickness and relative permittivity of the dielectric. 062" double sided finished board The numbers work out like this. Notice that distance to the other trace in the pair as well as other Cu will impact the impedance. You can make your own spread sheet using formulas provided by Wedell's book "Transmission Line Design Handbook" page 196, 197, 198 (attached)Differential Impedance Ω. g. 7563 mm (~30 mils). Coplanar Waveguide Planner Model microstrip Coplanar Waveguides to reduce radiation loss, of high-speed serial. While there is no fixed price for hemming pants, the typical cost range is between $10 and $60 or more. (5mil prepreg) But in your case if using a 10 mil dielectric; Impedance is almost constant ratiometric to the conductor geometry ratios if <2:1 ratios for planar and < 3:1 for differential coplanar. The STLC online tool enables the user to precisely calculate the wave. e. For the LVDS and LVPECL standard, the termination resistor should match the differential load impedance of the bus (i. If you need to use differential pairs, you simply define traces in each layer as differential pairs and the impedance calculator will determine the correct spacing between traces. 4 ohms (microstrip) or 61. Following is the list of useful converters and calculators. It is widely accepted that the most accurate impedance calculations are produced with a 3D field solver due to the complex geometry in any PCB layout. (FDTIM). It was very hard to achieve a differential impedance of 100R with such a thin dielectric, so it was suggested that I used a hatched ground plane to increase the impedance. A Trace Length Calculator for Differential Pairs and Nets. two inner conductors plus shielding) in the port. 6mm spacing with a trace width of 0. ; Edge coupled differential pair ; Edge coupled internal symmetric differential pair ; Edge coupled internal asymmetric differential pair ; Edge coupled embedded differential pair ; Broadside coupled shielded differential pair It does not work. But practically (especially in a dense design like your example), they also interact with surrounding conductors, and the coplanar ground, or ground beneath a differential microstrip will affect the characteristic impedance. Differential Microstrip Impedance Formula or Equation. Impedance Calculation 5. The Calculator has the following tools: Regulators. Stripline is another type of transmission line that can be easily built on a pcb. The vias on these differential pairs have their own impedance, which can create signal integrity problems on long interconnects. PCB Coplanar Waveguide Calculator RF PCBs can be complex boards that need. The Coplanar Differential Pair Impedance Calculator is a tool that helps you calculate the characteristic impedance of a coplanar waveguide (CPW). g. To answer, Zac. Read. High speed PCBs and signaling standards almost entirely use differential pairs with precise impedance. 3. To calculate a 9-hole score differential, golfers should use their usual playing conditions (UPC), which take into account factors like wind, course conditions, and tee placements. 34mm and gap 0. 6 ohms and Z even = 110 ohms for your geometry, very close to your result. However, due to the importance of this particular transmission line type, it is explained in detail on the Waveguide Port Overview. The reference plane is not far enough to accommodate 100-ohm differential impedance. Conductor is assumed to have zero thickness and to be uniformly spaced between the ground planes. Added a lookup table for the value of copper resistance over temperature for increased accuracy. Click here to see the user guide of our impedance. For differential pairs of microstrips, the formulas involved are much more complicated because coupling between the traces in the differential pair must be. A solution to the problems of microstrip is coplanar waveguide (CPW) shown in Figure [Math Processing Error] 3. The PCB trace width and the spacing to the grounded copper regions need to be designed to set the designed impedance to the. Based on: The factors that influence differential pair via impedance will affect the input impedance seen at the vias. Critical Signals (continued) Signal Name Description HDMI_DATA1x High-Definition Multimedia Interface (HDMI) differential data pair, positive or negativeIn fact, striplines often make components such as band-pass filter's more accurately, with more symmetric roll-off and no lower cutoff frequency. We have had 25Gbps differential pairs that had no via stitching at. 8 ohms for residential and below 0. While commonly constructed using printed circuit boards, this structure can also be built using other materials as long as there is a conductor separated from. This assumes ~0 trace thickness. The guides says spacing under 0. In both cases, you’ll need to enter your stackup information into the calculator to get accurate results. Single-ended and differential pairs of strip lines. The impedance of the surface microstrip shown is 50 ohms, so the impedance of the broadside coupled differential pair will be twice 50. Anyone know of any free software that can do that? The only one I was able to find was Si9000 and Si8000m by Polar instruments, but they aren't free. The three regions of the Differential Pairs Editor mode of. 3 shall be used. e. Figure 81 shows the topology. FWIW, the calculator I've used in the past is called Polar SI8000 which apparently has been superceded by Speedstack PCB. In the case where you are routing differential pairs, then the potential between the two pairs will always be opposing (i. The rules shown below are a rough approximation, and you should always check the approximation using an impedance calculator or field solver. Thus any equation used to calculate the impedance is approximate and demonstrated in Table 1. The microstrip calculator determines the width and length of a microstrip line for a given characteristic impedance (Zo) and electrical length or vice versa. Impedance captures the real and complex. 1<S/H<3. They are very simple to read, and the. A coplanar waveguide with groundplane distance H = 1. Simultaneous Switching Noise Guidelines. Those pairs connect via a dedicated FFC cable. The impedance is configured on the Impedance tab of the Layer Stack Manager. 36 Differential coplanar structures; Reduce time to market. Generally, the procedure is to look at how nearby conductors modify the impedance of the trace by comparing the impedance of a trace without ground to a. 3. The differential impedance of a PCB is simply the current to voltage ratio on pairs of transmission lines driven in differential mode. Coplanar waveguides are open quasi-TEM waveguide geometries that use copper pour and a ground plane to provide shielding along the length of a PCB trace. Planar transmission line. Output ⊕. Conventional coplanar waveguide ( CPW. PCB samples, finding that predicted accuracy varies according to target impedance. Reaction score. RF Attenuators. Printed circuit planar transmission lines used to create filters in a 20 GHz spectrum analyser. •Maintains 50 Ω ± 15 % single-ended and 100 Ω ± 20 % differential impedance. CPW feed and antenna are on the same plane. Simultaneous Switching Noise Guidelines. COPLANAR WAVEGUIDE WITH GND IMPEDANCE CALCULATOR - Create the ideal trace for your antenna. The same ideas also apply to differential pair routing. The idea here is to determine the spacing required for a given width with the goal of hitting a specific differential impedance value. 25mm trace. This makes the problem of determining impedance much more complex, and building an initial lossless model requires a larger set of formulas. We’ll go over how differential pairs can hel. I'm creating a design where I convert an RF single-ended signal to a differential signal with a 5400BL15B050E RF balun that is then fed to a ADL5802 RF mixer. The odd mode impedance is the impedance of one transmission line when the pair is driven differentially. The structure on the left is called a hairpin filter and is an example of a band-pass filter. In this example, the impedance a coplanar conductor-backed waveguide is calculated using the FDE solver’s Power and Impedance Integration tool, and the result is compared with the approximate analytic result from an online impedance calculator [1]. There are plenty Impedance calculators available. 6 Ω. When examining coupled transmission lines for common-mode or differential driving, you either have to source two separate TDR/TDT signals on the two lines simultaneously, or you have to measure the even/odd mode impedances. Units Conversion Data. W. The PCB Impedance Calculator in Altium Designer. 05 that is free software and very famous among designers. Cross-section geometry of a stripline trace. ϵ r is the substrate dielectric. 6 mm is used) can anybody help me how to calculate 100 ohm impedance. The Finding the Impedance of a Coaxial Cable model provides a similar example that goes into more details about setting up such models. 2 Technical DocumentationHere are some tips for measuring differential impedance. On a smaller scale, coplanar waveguide transmission lines are also built into monolithic microwave integrated circuits. Following equation or formula is used for Differential Microstrip Impedance Calculator. Lo = self-loop inductance = L 11 = L 22. Three Techniques for Creating a 3D Model of a Coplanar Waveguide. This arrangement of the grounded coplanar waveguide helps contain the electromagnetic field between the signal strip and the lower ground plane. Stripline symmetrical. First, consider a microstrip. While the edge couple differential symmetric stripline transmission line is a common technique for routing differential traces. When two ends of a differential pair or a group of signal nets are mismatched, there will be excess skew between signals. Dual stripline. If you also have no reference on each side of the routing then theoretically this is not coplanar i. Stripline construction usually does not require ground stitching, sometimes it's better no having vias around. For the latest, read: Configuring the Layer Stack for Controlled Impedance Routing for version 4. Using typical values of W= 9 mil, H= 24 mil, T = 1. where Z 0,surf can be computed as specified in Eq. CPW. 26. If you control impedance, you place a tolerance in the fabrication notes. e. Either the desired impedance at a specific frequency is used to determine the waveguide width, or the width is entered and the impedance is calculated. 25, but gives me nice trace from the module to the stub then to microcontroller. Compare bitrate to track length and rise time. With this combination of powerful impedance modeling you can quickly determine the manufacturing variations for each of your designs and model resin-rich areas between differential traces to achieve the highest yields from yourThe formula for calculating the flow rate (Q) of a pipe is: Flow Rate (Q) = Cross-Sectional Area (A) * Velocity (V) This formula relates flow rate to the cross-sectional area and velocity of the fluid in the pipe. Differential Impedance of Microstrip. Make sure the correct Layer is selected before changing this option. Everything you need to design. For example, if you wish to input "25000000", just type "25M" instead. Just enter the given values for trace thickness, substrate heights, trace width, and substrate dielectric. We get a lot of questions about trace impedance and how to calculate the right trace size to hit a specific impedance in a manufacturable PCB. beammy. Since stripline traces are typicallyEnter values for W and L for a microstrip line to determine its Zo and Electrical Length. I am using microstrips on external layers only. Converts C to F, F to C. The PCB Impedance Calculator in Altium Designer. button. Grounded Differential Coplanar Wave Guide. Differential signal I/O standards require a termination resistor between the signals at the receiving device (refer to Figure 38 ). Inputs Trace Thickness Substrate Height Trace Width Trace Spacing Dielectric Constant Outputs. Impedance in your traces becomes a critical parameter to consider during stackup design for high-speed PCBs, but the. One disadvantage is potentially lousy heat. For example, ECL logic has a 50 Ω characteristic impedance, and TTL has a source impedance range of 70 Ω to 100 Ω. This is the same reason we have to consider spacing between. Only one trace width or pair geometry can meet a particular target impedance per layer. A differential length in real space (i. Single-ended impedance of 50 Ohm. Differential pairs with vias and right-angle bends are acceptable. The characteristic impedance can be calculated using the software. Rs =. 6), the impedance will be approximately 50 Ohms. Note that only interfaces with a specific impedance value require you to design to a trace impedance value; for other interfaces, designing to a specific trace impedance is optional. The differential micro strip calculator requires some parameters. 25, but gives me nice trace from the module to the stub then to microcontroller. 35 ohms for industrial setups. In high-speed PCB wiring, the trace impedance of digital signals is generally designed to be 50 ohms, which is an approximate number. With t = 35 um (typical for copper with plating on a pcb), Z odd drops to 44 ohms, according to LineCalc. Use this constraint to configure the clearance when the nets in the differential pair must be closer together than allowed by the general clearance. This form of microstrip is composed of two traces. The Differential microstrip impedance calculator is used to compute the differential (Zd) and single-ended impedance (Zo) of an edge-coupled microstrip line just by entering the width, separation and thickness of the trace along with the dielectric thickness and constant of the coupled line. sides of a stripline trace pair (sometimes called via walls ), connected to the planes above and below as shown in Figure 5, to effectively create a shielded trace pair inside the PCB. to NFTo explore the differential pair transmission line results,. Agilent's LineCalc tool calculates Z odd = 50. The same situation occurs in a coplanar differential pair on the same layer. The RS-485 differential pair characteristic impedance is 120 Ω. For example, a single 0. 3. Coplanar Waveguide Analysis/Synthesis Calculator. For differential pairs of microstrips, the formulas involved are much more complicated because coupling between the traces in the differential pair must be included in the impedance calculation. The Si8000m adds enhanced modelling to predict the finished impedance of multiple dielectric PCB builds and also takes into account the local variations in dielectric constant on close spaced differential structures. This calculator finds both odd and even transmission line impedance. Trophy points. 2, however research into the prediction of impedance of edge coupled differential and co planar structures has shown for the best results you need to take into account. . 3) The characteristic impedance is the impedance set for the ports when S11 is minimized. Flexibility Using 9-hole differentials offers flexibility for golfers with limited time, allowing them to maintain their handicap index without always completing. #2 depends on the quality of your board house. ENIG plating always provides greater total losses in a coplanar arrangement vs. , equal in magnitude but opposite in polarity). The characteristic impedance (Z o) of a microstrip transmission line can be calculated using the active calculator or the equations at the bottom of the page. Four important design rules to consider for differential pairs are: Impedance tolerance. This calculator finds both odd and even transmission line impedance. Now, such 2D models can quickly compute the impedance of the CPW, and give you an idea of the relative field magnitudes in the. The concept of driving the conductors as a differential pair implies the. 946 for silver, or 1. Corner to corner calculator to determine the diagonal distance of a square / rectangular aperture. One disadvantage is potentially lousy heat.