microstrip differential impedance calculator. 10. microstrip differential impedance calculator

 
 10microstrip differential impedance calculator  Port Characteristic Impedance, Zo (Ohms) =

To calculate the differential impedance we should find the differential capacitance and the differential inductance Dielectric (ε=4. They will give very similar answers. In this example, the impedance of both odd and even mode of a coupled microstrip is calculated and compared with published results from Collin [1]. p = (Zi - Zo) / (Zi + Zo) Let us consider the case Zi = Zo. The waveguide port extension coefficient for operation in frequency range of 0 to 8 GHz for a microstrip line width of 4. This is the even-mode impedance of the differential pair. Units do not matter as long as they are consistent. 7. Use a 4-layer board so you can achieve h ~= 0. 48 e -0. Several people have developed. Microstrip Impedance Calculator. To Calculate Input the values of characteristic impedance, trace height, and spacing between traces to obtain precise results. Zodd is equal to half of the value of Zdiff. I checked out TNT, but couldn't seem to be able to do the same with that either. To use this tool, enter the values for. 8. 13mm (depends on manufacturer's specs) and you get a trace width of ~0. 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. Calculates the differential impedance of a microstrip pair. Relative Dielectric Constant ( εr ): Track Width. Microstrips (Source: Max Maxfield) In order to fine-tune the transmission line properties of the microstrip, we need to calculate the impedance of the trace. Calculates the characteristic impedance and per-unit-length parameters. Cohn, Seymour B. H = distance to nearest reference plane. Broadside-coupled Asymmetric Stripline. 3. Differential microstrip impedance results in Altium Designer’s Layer Stack Manager. This calculator can. and thats the first time iam doing ethernet things. These transmission line arrangements are standard trace geometries implemented in PCB design software. A differential stripline pair refers to two traces located between two reference plane layers, which are routed as a differential pair. Differential pair into PCB calculator. For example, coupledMicrostripLine (Length. The soldermask drops the microstrip characteristic impedance by 2 ohms and the differential impedance by 3. A great example is the surface microstrip which forms on the outer layers of the PCB. 0. 74mm. In terms of how these calculators work, the impedance of a transmission line in a PCB can be calculated in four ways: Use the R, L, C, G parameters from the Telegrapher’s equations to calculate the impedance of the transmission line. 331 1 2 5. PCB Impedance and Capacitance Calculator: Asymmetric Differential Stripline. 0 2. Enter the characteristic impedance of the microstrip and the height and width of the microstrip trace into the calculator to determine the differential. This tool includes an industry-standard field solver that is built into your PCB layer stackup. VSWR, Return Loss and Reflection Coefficient. INPUT DATA. Click the button corresponding to. Impedance is the resistance that a transmission line presents to the flow of energy along the transmission line. trace is typically quoted as being 5 to 10 nH. Embedded Microstrip Impedance Calculator. 0; 1 < ε r < 15 ) Select the units for all dimensions: mm mils. First to calculate the characteristic impedance of the Microstrip line, because the top layer and the bottom layer symmetry, only need to calculate the top layer impedance is good, using polar si6000, the corresponding calculation graph is as follows:. The accuracy of a controlled impedance trace on a PCB is usually critical to the correct performance of the PCB. Here, Z11 is the characteristic impedance looking into port 1 for one of the transmission lines. Radar Calculators. How to analyze the Sievenpiper high-impedance structure supporting a backward wave. This calculator is designed to find the characteristic impedance of an asymmetric stripline - a flat conductor between two ground planes. 2. mm mils. In design, the physical dimensions must be determined given the desired electrical properties. Another consequence is the following: If you densely route several single-ended lines, I suggest you throw the values into a differential line calculator. guideline pertaining to microstrip PCB impedance. 2 Low Impedance; The formulas developed in Section 4. 2. If you need to use differential pairs, you simply define traces in each layer as differential pairs and the impedance calculator will determine. It works in parallel with the standard PCBS. Ideally the traces in the differential pair only interact with each other, as another answer said. This example is of commonly used liquid photoimageable soldermask having a thickness of 0. To get the correct parameters, we have to use the specifications from our PCB house and the provided calculator. Acknowledgements: The source for formulas used in this calculator (except where otherwise noted) is the Design Guide for Electronic Packaging Utilizing High-Speed Techniques (4th Working Draft, IPC-2251, February 2001. This calculator determines the differential microstrip impedance of a transmission line. 4 mils, w 12. 3. Following is the formula for differential impedance for a Microstrip. Using this oscilloscope the 10%to 90% rise time of this signal is observed to be 60 ps. High-speed designs carry a requirement for controlled impedance, crosstalk control, and the need for interplane capacitance. 3 is a plot of impedance versus trace width for the three most common types of transmission lines in PCBs-- surface microstrip (SMS), buried microstrip (BMS) and centered stripline (CSL). A typical 4 Layer Stackup looks as follows. A study was done comparing microstrip and CBCPW transmission lines with different copper types, which had significantly different surface roughness. Microstrip traces are a practical and straightforward method for establishing transmission lines on a PCB. Calculate the Differential Microstrip Impedance of a transmission line based on the Single Ended Impedance of the transmission line, the distance between the strips and the height of the substrate. Overview. 3: Normalized characteristic impedance and normalized effective permittivity of a microstrip line as a function of u = w / h. If you put 10 in the Line Width, the calculator calculates the single ended as well as differential impedance. If there is an insulator around the wire then this calculator will be an estimate. Radar Calculators. With PCBWay impedance calculator, you can calculate the approximate impedance of your PCB / high frequency circuit board. The speed of the electromagnetic wave in the free space is 3 x 10 8 meter per second. , the structure is made up of two dielectric materials: air and the substrate material). For microstrip, you can (approximately) cut metal losses in half by doubling the dielectric thickness and keeping the same system impedance. It mentions formula or equations used in this differential Microstrip Impedance Calculator. Such a microstrip is constructed with two traces referenced to the same reference plane with a dielectric material between them. Relative Dielectric Constant ( εr ): Track Width: mm. Our free impedance calculator for coplanar waveguide can help you with your design features to ensure your PCB is working as you intend. LineCalc was used to calculate the length and width for a quarter wave transformer. 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. Their hardware design guideline said the traces between the USB and the termination resistors should have a differential impedance of 90 ohms. This calculator finds both odd and even transmission line impedance, including four different types of impedance used in characterizing differential trace impedances, for microwave antennas, couplers and filters applications. Grounded Differential Coplanar Wave Guide. 10. Embedded Microstrip. The advantages of coplanar waveguide are that active devices can be mounted on top of the circuit, like on. Lossless impedance formulas for PCB traces without parasitics (left) and with parasitics (right) to a quiet line or plane. 50Ω. In fact, striplines often make components such as band-pass filter's more accurately, with more symmetric roll-off and no lower cutoff frequency. To calculate the Stripline differential impedance input the characteristic impedance, space between traces, and trace height. Also, the form of the equations is based on good physical understanding. H1: Height of the dielectric between the trace and the reference plane. 3 shall be used. USB traces must be 90 Ohms differential. 8. Grounded CPW transmission line impedance calculator. 9D/B) Zo = Single Ended impedance. Zo (diff) is calculated to be 244 ohms, so dividing by two yields a value of 122 ohms for the semi-coplanar structure. So I decided to try and verify the calculator - jlcpcb offer an impedance calculator in their quotation system, and for a 6-layer 1. Microstrip Transmission Line Models. This is a required. H eff = H 1 + H 2 2 H e f f = H 1 + H 2 2. With our handy calculator, you can choose from 50 Ohm, 75 Ohm, 93 Ohm and 95 Ohm coaxial cables. We will analyse common stack up. 4mm PCB for a trace width of 0. There are some advantages to. Just as a sanity check, we can quickly calculate the total inductance of a trace determined with this method and compare it with typical values. Figure 81 shows the topology. 4: Normalized even-mode and odd-mode effective. , they. This calculator finds both odd and even transmission line impedance. Refer types of microstrip line and basics of microstrip line for more information. Microstrip Mitred Bend Calculator. Provide values for the four parameters H 1, H, T, W, and the relative permittivity of the dielectric. Width (w) Trace Thickness (t) Dielectric Thickness (h) Relative dielectric constant (εr) Calculate Reset Result Single Ended Impedance Ω Propagation Dealy ps/inch Microstrip Impedance Calculator. Using an online differential impedance calculator, the height of the dielectric layer, h, is needed. 2. 50 Ohms. THESE FORMULAS ARE. ALTIUM DESIGNER. 8. Here lies the challenge: impedance calculators must balance speed and accuracy. RF calculations and RF conversions include metric. 035 mm) h is the Thickness of dielectric. This calculator can calculate the impedance and propagation delay of the embedded microstrip. 8. The plots show the magnitude and phase of the input impedance. The differential micro strip calculator requires some parameters. Differential Microstrip Impedance Calculator (Using Zo) Embedded Microstrip Impedance Calculator. Calculates the resistance, inductance and capacitance per unit length of common low-loss transmission line configurations. 4. Notes: 1) Calculation assumes traces are centered vertically. In some cases, users require a custom impedance value. If JLCPCB's 4-layer PCB is. A method of measuring the impedance of a microstrip transmission line using a vector network analyzer is proposed. The twisted pair helps create a more uniform inductance and capacitance per unit length of wire to ensure a constant impedance, by keeping the return path as close to the signal as possible. g. The greater the mismatch. Microstrip Width Calculator. It is only equal to double the characteristic impedance in certain cases. Pi-Matching Impedance Network Calculator. Differential Impedance of. Track Thickness: mm. Microstrip construction consists of a differential pair and a single reference layer (typically ground). At the receiver, the signal is recovered by taking the difference between the signal levels on. In. Visit to learn more about our other electrical engineering tools. Dielectric Thickness (h) Dielectric Constant (εr) Calculate. Microstrip. Figure - Single Ended impedance calculator. This function converts of a set of conventional, 2-port, single-ended S-parameters into a 1-port differential impedance. 72mil. Effective Antenna Aperture Calculator; Maximum Unambiguous Range Calculator; PULSE REPETITION FREQUENCY (PRF) CALCULATOR;Calculate Microstrip impedance for given PCB parameters. 01 Mar 1998. The idea here is to determine the spacing required for a given width with the goal of hitting a specific differential impedance value. 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. Example (PageIndex{1}): CPW; 3. 4mil and the dielectric thickness to the first intermediate layer (this is a 4-layer board) is 6. Figure 9 shows the simulated result of the fifth-order hairpin bandpass filter. The best ECAD software will include a field solver-based model. Next step is to check the via count of each single trace. 50 - 55 ohms). Provide values for H, T, W and the relative permittivity of the dielectric and click the button corresponding to unknown parameter Z o to calculate its value. EasyEDA directly supports controlled impedance designs for 4 and 6 layer PCBs only. Calculators and software from Signal Processing Group Inc. Impedance To Turns Ratio Calculator. I have already some experience on single ended controlled impedance but this is my first. h = rfckt. We have already learnt this in High School Physics classes. The Smith chart center (1*Z0) is your reference impedance. The free version allows calculation of simple single-ended and differential microstrip and stripline structures. Create a new impedance profile, then select Single-Coplanar or Differential-Coplanar from the Impedance Profile Type drop-down list. microstrip = microstripLineCustom creates a coupled form of single or differential microstrip transmission line. DIFFERENTIAL MICROSTRIP IMPEDANCE CALCULATOR Trace Width (w) mils Trace Separation (d) mils Trace Thickness (t) mils Dielectric Thickness (h) mils Dielectric. Ensuring impedance-controlled routing also requires knowledge of the substrate’s dielectric constant and your required trace width. mm mils. How to Determine Impedance? Impedance is usually between 25 to 125 ohms in a trace, depending largely on the following factors: The width and thickness of a copper trace;. Stripline. The formula used in this calculator is an approximation for the characteristic impedance of a coplanar waveguide: scssCopy code. The Keysight Printed Circuit Board Trace Impedance Calculator (PCBCalc) app computes the characteristic impedance and sizes of typical printed circuit board trace geometries. Figure 5. PCB Coplanar Waveguide Calculator RF PCBs can be complex boards that need careful. There are 3 types of single-ended models:. Q1. example. 004” line/0. DC power being carried by a trace determines the temperature rise in the trace, which should be limited in general. The Pi match circuit is so named because the circuit topology can resemble a pi symbol. 5. 0. Impedance Calculator - Sierra Circuits. The top surface and the sides of the traces are exposed to air and are referenced to a power or ground plane. 6: Microstrip Design Formulas. A web-based tool to calculate the impedance of your PCB traces and vias. We are now ready to calculate the microstrip characteristics. t = Trace Thickness. zodiff: Calculate the characteristic impedance of differential microstrip lines. Calculating the Differential impedance is a two-step process, first Calculate the single ended impedance Zo and then use this value to calculate the differential impedance. 0 Dimensional units: mm mils. An Oscilloscope has rated bandwidth of 10 GHz. Select the dimension unit of the stripline: mm mils. Grounded Differential Coplanar Wave Guide. [22] Figure 2 keeps the impedance Z 0 at 50 W while changing the dielectric "r; this requires the ratio w/h to change. 125 × W ≤ S ≤ 4. The range of accepted values is 20 to 90 Ω for single-ended and 50 to 150 Ω for differential signals. Coplanar Waveguide Calculator. Choose your desired transmission line structure (single ended or differential covered microstrip, inner layer stripline, offset stripline); use. Using a 4 GHz reference antenna, the variations of input impedance and radiation patterns are compared, for (a) changing the feed positions to the non-radiating edge against (b) changing the width of a. Impedance. If there are changes in the design, change. On the other hand, microstrip will radiate more energy due to its exposure on an exterior layer to air. 2H, the formula for the non-embedded. Will be great if you can point me any good resource that explain this. The odd mode impedance is the impedance of one transmission line when the pair is driven differentially. Ls =. 37) If H1<1. H 1 H 1 = subtrate height 1. For example, going from 10 mil to 20 mil alumina, or two-mil to four-mil GaAs. Note that Zdiff (differential impedance) is equal to 2 * Zodd, so a Zodd of 45 Ω gives us a Zdiff of 90 Ω. These radio frequency calculators help with unit conversion, attenuator design, antenna design, radars, and various other basic calculators. This calculator assumes the distance between the two reference planes to be an equal distance. In tab “TransLine” i chose “Coupled Microstrip Line” and i can calculate the impedance of only one track. A transmission line always features a differential microstrip impedance. The trace width is important as it determines the single-ended and differential impedance, capacitance, and inductance. I'm designing a custom PCB around the Raspberry Pi RP2040 MCU. Open the PCB layout tool (pcbnew) and go to File > Board Setup. 671; thus Z 0 = 48. 8 Microstrip Differential impedance The differential impedance between the positive and negative trace of the microstrip transmission line is slightly less than twice the impedance of the single ended impedance. Altium Designer incorporates these features into its CAD tools. so i have had a look at a App-Note of the PHY chip: it contains a lot of good information - and for me its clear i have to do a differential pair for the TX+/TX- and RX+/RX- traces. Try TNT or TxLine. 5 mA, into one wire or the other, depending on the logic level to be sent. Select the box with the geometry that you would like to calculate. Z 0 Differential impedance (Ω): Calculate. Given Relative permittivity of air ε = 1; Relative permittivity of dielectric ε = 4. Calculate the Differential Microstrip Impedance of a transmission line based on the the distance between the strips, height of the substrate, trace thickness and dielectric constant of the substrate. Press the Analyze button to calculate the electrical parameters. 3mil seems like a substantial enough difference. With the differential microstrip impedance calculator in Altium Designer, you’ll have the design features you need to determine the best surface trace geometry to ensure consistent impedance in your PCB. single-ended and differential. This feature is very useful for measuring balanced circuits with a. Also note that your best bet may actually be VERY SHORT (few mm) traces, a thinner board or a 4 layer board :-) Thanks for your suggestions. This calculator is designed to calculate the characteristic impedance of a broadside couple stripline (see diagram below). Each Port is matched to the characteristic impedance Z 0 of the single, isolated microstrip transmission line. Reset. Single ended traces impedance control is less important in review perspective. Given Relative permittivity of air ε = 1; Relative permittivity of dielectric ε = 4. T T = trace thickness. In design, the physical dimensions must be determined given the desired electrical properties. iCD Coplanar Waveguide (CPW) Planner - Model microstrip Coplanar Waveguides to reduce radiation loss, of high-speed serial links, significantly improving product performance. zo_low_loss_calc: Calculation of the characteristic impedance of low loss transmission lines: zdiff: Calculate the differential impedance of edge coupled parallel. Tutorial 2: Dispersion Diagram I: Parallel Plate. The allegro calculator gives a value of 56. The characteristic impedance ( Zo) of a single trace, in isolation, is equal to the geometric average ( Zavg) of Zodd and Zev. You want to select “Microstrip Zdiff”. Dielectric Thickness: mm. The impedance of a differential via pair cannot be treated with a single via impedance calculator unless the vias are spaced far apart. Frequency f = 500 MHz. Mutual inductance and capacitance exist between the two traces in a differential pair. 542 mm, a substrate height of 1. w (trace width) = d (trace separation) = t (trace thickness) = h (dielectric thickness) =. One of the features of this type of microstrip is the coupling between lines. Tutorial 3: Dispersion Diagram II: Sievenpiper Mushroom. The answer lies in the spacing between the traces in the pair. It shows the minimum trace-to-ground spacing required to. Coaxial Cable Impedance Calculator. Odd mode impedance is defined as impedance of a single transmission line when the two lines in a pair are driven. (Sorry guys, I live and I have grown up in a metric world ) With these values, Saturn PCB's off-line calculator gives 57 Ohm differential impedance. Introduction to dispersion diagrams and eigenmode simulator. 3 enable the electrical characteristics to be determined given the material properties and the physical dimensions of a microstrip line. In that case there is no reflection. Where: Z0 Z 0 = characteristic impedance of the asymmetric stripline in ohms (Ω). [m] width of the trace. 6: Microstrip Design Formulas. Build a model from experimental data of impedance vs. Since the numerator is the propagation constant, we. There are many free (e. Delta Impedance, Rc (Ohms) =. Controlled differential impedance starts with characteristic impedance. 90 Ohm Differential Pair: 0. Notice that the Ground and Power are interchangeable. Use the MLIN components to create the microstrip lines. I am trying to design a USB circuit, where the signaling is over a differential pair D+ and D- and these two lines are required by the spec to have 90 ohms of differential impedance. The input impedance, Zin, of the shorted microstrip line is shown in Figure 3. 4, that's why there is a difference in impedance values of microstrip and stripline. 9. If you consider the PCB trace as a lossless transmission line, the characteristic impedance Z0 = L C−−√ Z 0 = L C but the velocity factor is inversely proportional to L ⋅ C− −−−√ L ⋅ C (where L & C are per unit length). A twisted-pair cable is simply two wires that are twisted together so as to reduce radiated EMI (electromagnetic interference) and mitigate the effects of received EMI. It is important to determine the characteristic impedance of a twisted-pair cable because this impedance should match the. 4 mils) and are 5 mils above the nearest plane with a dielectric whose relative dielectric constant is 4. I tried to use the tool “PCB calculator” to determine the size of mi USB tracks. Viewed 205 times 1 $egingroup$ I am attempting to determine the trace width needed for routing a differential signal of 100 Ω on a PCB I am designing. This will give a 50X impedance from each trace to ground. Compatible with Flex PCBs and Turnkey PRO service. Antenna Calculators. **Note: Like our microstrip line impedance calculator, all of our RF calculators allow SI prefix input. By calculating and designing microstrip traces with the desired differential impedance, engineers can optimize the performance of RF circuits, antennas, and filters. They are recommening to use 3th party calculators. 5 x 10 8. The equations quoted below are from Reference 1, and are offered here as a starting point for a design, subject to further analysis, testing and design verification. The outer two layers are microstrip signal layers and the inner two layers are power and ground. 5 GHz. One thing is for sure: When you are routing a high-speed PCB design you are going to be working with impedance-controlled routing and. See full list on resources. Figure 5. It is only equal to double the characteristic impedance in certain cases. As seen from the formula when D decreases, while keeping B constant, Zdiff decrease. I found that a W of 0. The edge couple differential microstrip transmission line is a common technique for routing differential traces. Since stripline traces are typically3. Include both the pcb dielectric thickness as well as the wire insulation in the height calculation. In both cases, you’ll need to enter your stackup information into the calculator to get accurate results. Enter the relative permitivity, width of the trace, the ground plane spacing, and the substrate thickness to calculate the characteristic impedance. 8. Development Kits. 3. The Calculator Calculates the values of the Characteristic Impedance, Capacitance per unit length and propogation speed. This structure supports both an even and an odd mode. Our RF and microwave calculators and converters will provide the figures you need for your radio frequency engineering needs. It actually depends upon the D/H ratio. When you need to length-match meandered traces, a. [1] This paper constructs a simple formula of distribute conductance of a microstrip line and then of the dielectric attenuation with only one arbitrary constant, p = 1. Differential signaling in flex circuits follows the design method of surface microstrip transmission lines. 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. This means that the formula checking with the HFSS software in Figure 2 varied four out of the fiveDifferential impedance: This is the impedance of a pair of transmission lines. For the odd mode, the differential impedance can be obtained by setting the integration region to enclose only one of the microstrips, and the characteristic impedance of the odd mode is half the differential impedance, approximately 22 ohms. The calculator is set up to handle an asymmetric arrangement, where traces are not centrally located in the PCB layer stack. The initial voltage launched into the transmission line is A . Even mode impedance for commonly-driven transmission lines . 5. When you use a field solver to calculate differential crosstalk, you will be using time-domain results (showing pulses. Simulation setup for microstrip fed patch antenna. Edge-Coupled Offset Stripline : is a differential configuration with two controlled impedance traces within the PCB sandwiched between two planes on. H 1 (Dielectric thickness) : mm mils. mm mils. 5. The inductance of a ~1 in. The original source of formula is IPC-2141: Controlled Impedance Circuit Boards and High-Speed Logic Design, April 1996. The default properties are for a design frequency of 2. 4 (Teflon) w e width of trace t e thickness of trace h e prepeg (die-electric) height FIGURE 1. Both formulas of the dielectric, as well as the total losses, agree. Disc Air Capacitor Calculator; Impedance Calculator : XL, XC; Inductors, Transformers. Relative Dielectric Constant ( εr ): Track Width (S): mm. Thickness. This calculator requires symmetry in the trace widths and location between plane layers. v = C / √ ε r. Understanding Coplanar Waveguide with Ground. Impedance (Z o ): 76. High-speed designs often use differential pairs for signal routing. Access technical papers, white papers, calculators, tools and more for circuit laminates, prepreg and bonding materials. Grounded Differential Coplanar Wave Guide. The finished layout is shown in Figure 5. The closer the two traces, the smaller is. 2 Calculating Impedance The following equations can be used to calculate the differential impedance of the board. Sample coupon — Gerber Data mpcd1345. The phase is mostly + 90 ∘ or − 90 ∘, indicating that Zin is mostly reactive. For this calculation, the units of d and h can be ignored as long as they have the same unit. 8. g. Microstrip Suggested typical numbers for LVDS PCB using microstrip are, t e1. There is no closed-form equation like equation (4) for surface or embedded microstrip of any track thickness. 1. For example the impedance. This tool helps you create a matching circuit so that optimal power transfer occurs between unmatched loads. Zcommon is half the value of Zeven. 6 ohms and Z even = 110 ohms for your geometry, very close to your result. The iCD Design Integrity software incorporates the iCD Stackup Planner, iCD PDN Planner, iCD CPW Planner and SmartSolver software plus a myriad of functionality specifically. This sets the single-ended impedance AND differential impedance to the target value, even if there is no. calculate the pcb impedabce and capacitance of dual stripline. The next graph investigates this further. The microstrip is a very simple yet useful way to create a transmission line with a PCB. 1 W/H 3. Embedded Microstrip Impedance Calculator. Pasternack's RF calculators and conversions section provides engineers valuable and easy-to-use tools ranging from complex mathematical formulas to simple conversions. 01 Mar 1998. We recommend the software from Polar Instruments if you want to get exact impedance calculation. Use several of them and compare. halfway between the differential pair of microstrips could be regarded as 0V. 5oz inner copper, 8 mil trace spacing) and a target differential impedance of 100 ohms, JLC's calculator suggests a trace width of 8. Added calculation for Electrical Length as Air Line equivalent; Added calculation for Delay time ;. H.