Well since you haven't put any constraints on it -- set the series inductor to zero and be done with it! To have a meaningful answer, you must provide much more information, more constraints. Frequency range, inductor value/range (if not by actual value, then as a proportion of RL and f_c or such), flatness/mismatch, and so on. Tim -- Seven Transistor Labs, LLC Electrical Engineering Consultation and Contract Design Website: https://www.seventransistorlabs.com/ <dakupoto@gmail.com> wrote in message news:fddb3e95-475d-4193-8cc0-e04712629696@googlegroups.com...> Could some electronics guru please help ? I am running some SPICE > simulations on wideband impedance matching of the following setup. > The source and load resistances are equal > The source is a pure resistor > Yhe load consists of a resistor(same value as source resistor) and > a series inductor > The matching network is a 6th order low pass filter with a > series inductor as the last element. > The RMS input power and the RMS output power are measured. > The ratio RMS output power/RMS input power is very low, indicating > poor matching and large invident signal reflection. How would the > load inductor be bullified in a physically realizable way ? All > hints/suggestions are welcome. Thanks in advance. > >
Broadband impedance matching of series RL load
Started by ●March 14, 2018
Reply by ●March 14, 20182018-03-14
Reply by ●March 15, 20182018-03-15
On 2018-03-14, dakupoto@gmail.com <dakupoto@gmail.com> wrote:> Could some electronics guru please help ? I am running some SPICE > simulations on wideband impedance matching of the following setup. > The source and load resistances are equal > The source is a pure resistor > Yhe load consists of a resistor(same value as source resistor) and > a series inductor > The matching network is a 6th order low pass filter with a > series inductor as the last element. > The RMS input power and the RMS output power are measured. > The ratio RMS output power/RMS input power is very low, indicating > poor matching and large invident signal reflection. How would the > load inductor be bullified in a physically realizable way ? All > hints/suggestions are welcome. Thanks in advance.are you looking for a Zobel Network? https://en.wikipedia.org/wiki/Zobel_network -- This email has not been checked by half-arsed antivirus software
Reply by ●March 15, 20182018-03-15
On Thursday, March 15, 2018 at 5:15:38 AM UTC+5:30, Jim Thompson wrote:> On Tue, 13 Mar 2018 23:39:57 -0700 (PDT), dakupoto@gmail.com wrote: > > >Could some electronics guru please help ? I am running some SPICE > >simulations on wideband impedance matching of the following setup. > >The source and load resistances are equal > >The source is a pure resistor > >Yhe load consists of a resistor(same value as source resistor) and > >a series inductor > >The matching network is a 6th order low pass filter with a > >series inductor as the last element. > >The RMS input power and the RMS output power are measured. > >The ratio RMS output power/RMS input power is very low, indicating > >poor matching and large invident signal reflection. How would the > >load inductor be bullified in a physically realizable way ? All > >hints/suggestions are welcome. Thanks in advance. > > > > > > Schematic? What does "wideband" mean? fL, fH, dB's? > > ...Jim Thompson > -- > | James E.Thompson | mens | > | Analog Innovations | et | > | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | > | STV, Queen Creek, AZ 85142 Skype: skypeanalog | | > | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | > | E-mail Icon at http://www.analog-innovations.com | 1962 | > > It's what you learn, after you know it all, that counts.The SPICE netlist is listed below: Low pass filter impedance matching * Identical load source resistance * and series load inductor .PARAMS FREQ=3.453144e+08 LLIM=1.726572e+07 HLIM=6.043003e+08 AMPL=10 .SUBCKT LPFILT 1 2 * 1 IN * 2 OUT C1 1 0 2.353875e-10 L2 1 3 6.431530e-10 C3 3 0 8.787569e-10 L4 3 4 8.791318e-10 C5 4 0 6.441774e-10 L6 4 2 2.367870e-10 .ENDS * COMMENT OUT TRANSIENT ANALYSIS * TO RUN AC ANALYSIS AND VICE-VERSA LLOAD 6 7 1.200000e-08 LCOMP 5 6 1.772026e-11 RSRC 1 2 50.000000 RLOAD 7 0 50.000000 XLP 3 4 LPFILT VTST0 2 3 DC 0.0 AC 0.0 VTST1 4 5 DC 0.0 AC 0.0 * FOR TRANSIENT ANALYSIS VSIG 1 0 DC 0.005 SIN(0 {AMPL} {FREQ} 0 0 0) * FOR AC(SMALL SIGNAL) ANALYSIS VSIG 1 0 DC 0.005 AC {AMPL}) .OPTIONS METHOD=GEAR NOPAGE RELTOL=1m MINBREAK=5ps .IC .TRAN 75.0ns 500.0us 50.0ns UIC * INPUT/SOURCE SIDE .PRINT TRAN V(3) I(VTST0) * LOAD/OUTPUT SIDE .PRINT TRAN V(4) I(VTST1) .AC LIN 20000 {LLIM} {HLIM} .PRINT AC V(5) ** FOR REFLECTION COEFFICIENT ETC., .PRINT AC V(2) .END Any hints/suggestions would be very helpful. Thanks in advance.
Reply by ●March 15, 20182018-03-15
On Thu, 15 Mar 2018 05:30:38 -0700 (PDT), dakupoto@gmail.com wrote:>On Thursday, March 15, 2018 at 5:15:38 AM UTC+5:30, Jim Thompson wrote: >> On Tue, 13 Mar 2018 23:39:57 -0700 (PDT), dakupoto@gmail.com wrote: >> >> >Could some electronics guru please help ? I am running some SPICE >> >simulations on wideband impedance matching of the following setup. >> >The source and load resistances are equal >> >The source is a pure resistor >> >Yhe load consists of a resistor(same value as source resistor) and >> >a series inductor >> >The matching network is a 6th order low pass filter with a >> >series inductor as the last element. >> >The RMS input power and the RMS output power are measured. >> >The ratio RMS output power/RMS input power is very low, indicating >> >poor matching and large invident signal reflection. How would the >> >load inductor be bullified in a physically realizable way ? All >> >hints/suggestions are welcome. Thanks in advance. >> > >> > >> >> Schematic? What does "wideband" mean? fL, fH, dB's? >> >> ...Jim Thompson >> -- >> | James E.Thompson | mens | >> | Analog Innovations | et | >> | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | >> | STV, Queen Creek, AZ 85142 Skype: skypeanalog | | >> | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | >> | E-mail Icon at http://www.analog-innovations.com | 1962 | >> >> It's what you learn, after you know it all, that counts. > >The SPICE netlist is listed below: >Low pass filter impedance matching >* Identical load source resistance >* and series load inductor > >.PARAMS FREQ=3.453144e+08 LLIM=1.726572e+07 HLIM=6.043003e+08 AMPL=10 > >.SUBCKT LPFILT 1 2 >* 1 IN >* 2 OUT >C1 1 0 2.353875e-10 >L2 1 3 6.431530e-10 >C3 3 0 8.787569e-10 >L4 3 4 8.791318e-10 >C5 4 0 6.441774e-10 >L6 4 2 2.367870e-10 >.ENDS > >* COMMENT OUT TRANSIENT ANALYSIS >* TO RUN AC ANALYSIS AND VICE-VERSA > >LLOAD 6 7 1.200000e-08 >LCOMP 5 6 1.772026e-11 >RSRC 1 2 50.000000 >RLOAD 7 0 50.000000 >XLP 3 4 LPFILT >VTST0 2 3 DC 0.0 AC 0.0 >VTST1 4 5 DC 0.0 AC 0.0 > >* FOR TRANSIENT ANALYSIS >VSIG 1 0 DC 0.005 SIN(0 {AMPL} {FREQ} 0 0 0) >* FOR AC(SMALL SIGNAL) ANALYSIS >VSIG 1 0 DC 0.005 AC {AMPL}) > >.OPTIONS METHOD=GEAR NOPAGE RELTOL=1m MINBREAK=5ps >.IC >.TRAN 75.0ns 500.0us 50.0ns UIC >* INPUT/SOURCE SIDE >.PRINT TRAN V(3) I(VTST0) >* LOAD/OUTPUT SIDE >.PRINT TRAN V(4) I(VTST1) > >.AC LIN 20000 {LLIM} {HLIM} >.PRINT AC V(5) >** FOR REFLECTION COEFFICIENT ETC., >.PRINT AC V(2) >.END > >Any hints/suggestions would be very helpful. >Thanks in advance.Can you post a visible schematic? I still don't know what you are trying to do. I've done some work lately on one-end-reflectionless lowpass filters, based on Jeroen's concepts. Mini-Circuits has some interesting new symmetric filters, both-ends-reflectionless. -- John Larkin Highland Technology, Inc lunatic fringe electronics
Reply by ●March 15, 20182018-03-15
"John Larkin" <jjlarkin@highlandtechnology.com> wrote in message news:pm5ladter5r3srp5a6f0n9vd5uha158se6@4ax.com...> I've done some work lately on one-end-reflectionless lowpass filters, > based on Jeroen's concepts.There's that, and there's one-end-terminated filters. Handy when you don't want the extra loss of a source terminator, instead just wire it up to the device output (usually a CCS || C, open collector/drain output). Use a shunt-capacitor topology, pin capacitance contributes to the first cap in the filter (or becomes it, in which case you obtain maximum gain-bandwidth from that stage). Or vice versa, like peaking coils for CRT deflection plates (old fashioned, I know). Tim -- Seven Transistor Labs, LLC Electrical Engineering Consultation and Contract Design Website: https://www.seventransistorlabs.com/
Reply by ●March 15, 20182018-03-15
On 14/03/18 17:39, dakupoto@gmail.com wrote:> Could some electronics guru please help ? I am running some SPICE > simulations on wideband impedance matching of the following setup. > The source and load resistances are equal > The source is a pure resistor > Yhe load consists of a resistor(same value as source resistor) and > a series inductor > The matching network is a 6th order low pass filter with a > series inductor as the last element.The output inductor is not the only contributor to the output impedance of the filter. You can't match just the inductor and expect the filter output to be matched, unless the filter dissipates all the frequencies in its stop-band (or reflects them to the input, but you told us that's resistive, so if matched, they're dissipated there). Energy is conserved. Whatever is not passed must be dissipated.> The RMS input power and the RMS output power are measured. > The ratio RMS output power/RMS input power is very low, indicating > poor matching and large invident signal reflection. How would the > load inductor be bullified in a physically realizable way ?What does "bullified" mean? Clifford Heath.
Reply by ●March 15, 20182018-03-15
On Fri, 16 Mar 2018 08:14:09 +1100, Clifford Heath <no.spam@please.net> wrote: [snip]> >What does "bullified" mean? > >Clifford Heath.My same question. (As well as yet to see a numeric specification... vague generalities piss me off ;-) ...Jim Thompson -- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | STV, Queen Creek, AZ 85142 Skype: skypeanalog | | | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at http://www.analog-innovations.com | 1962 | It's what you learn, after you know it all, that counts.
Reply by ●March 15, 20182018-03-15
On Thu, 15 Mar 2018 05:30:38 -0700 (PDT), dakupoto@gmail.com wrote:>On Thursday, March 15, 2018 at 5:15:38 AM UTC+5:30, Jim Thompson wrote: >> On Tue, 13 Mar 2018 23:39:57 -0700 (PDT), dakupoto@gmail.com wrote: >> >> >Could some electronics guru please help ? I am running some SPICE >> >simulations on wideband impedance matching of the following setup. >> >The source and load resistances are equal >> >The source is a pure resistor >> >Yhe load consists of a resistor(same value as source resistor) and >> >a series inductor >> >The matching network is a 6th order low pass filter with a >> >series inductor as the last element. >> >The RMS input power and the RMS output power are measured. >> >The ratio RMS output power/RMS input power is very low, indicating >> >poor matching and large invident signal reflection. How would the >> >load inductor be bullified in a physically realizable way ? All >> >hints/suggestions are welcome. Thanks in advance. >> > >> > >> >> Schematic? What does "wideband" mean? fL, fH, dB's? >> >> ...Jim Thompson[snip]> >The SPICE netlist is listed below: >Low pass filter impedance matching >* Identical load source resistance >* and series load inductor > >.PARAMS FREQ=3.453144e+08 LLIM=1.726572e+07 HLIM=6.043003e+08 AMPL=10 > >.SUBCKT LPFILT 1 2 >* 1 IN >* 2 OUT >C1 1 0 2.353875e-10 >L2 1 3 6.431530e-10 >C3 3 0 8.787569e-10 >L4 3 4 8.791318e-10 >C5 4 0 6.441774e-10 >L6 4 2 2.367870e-10 >.ENDS > >* COMMENT OUT TRANSIENT ANALYSIS >* TO RUN AC ANALYSIS AND VICE-VERSA > >LLOAD 6 7 1.200000e-08 >LCOMP 5 6 1.772026e-11 >RSRC 1 2 50.000000 >RLOAD 7 0 50.000000 >XLP 3 4 LPFILT >VTST0 2 3 DC 0.0 AC 0.0 >VTST1 4 5 DC 0.0 AC 0.0 > >* FOR TRANSIENT ANALYSIS >VSIG 1 0 DC 0.005 SIN(0 {AMPL} {FREQ} 0 0 0) >* FOR AC(SMALL SIGNAL) ANALYSIS >VSIG 1 0 DC 0.005 AC {AMPL}) > >.OPTIONS METHOD=GEAR NOPAGE RELTOL=1m MINBREAK=5ps >.IC >.TRAN 75.0ns 500.0us 50.0ns UIC >* INPUT/SOURCE SIDE >.PRINT TRAN V(3) I(VTST0) >* LOAD/OUTPUT SIDE >.PRINT TRAN V(4) I(VTST1) > >.AC LIN 20000 {LLIM} {HLIM} >.PRINT AC V(5) >** FOR REFLECTION COEFFICIENT ETC., >.PRINT AC V(2) >.END > >Any hints/suggestions would be very helpful. >Thanks in advance.Gozinta/gozouta specification? You're exhibiting the standard failure here of thinking you can force what you think the solution should be rather than specifying the desired results... sort like the "Searching for an Op-Amp" fiasco >:-} (I actually have symbols in my spice library: gozinta, gozouta, and gozbi... prettied-up _small_ port symbols ;-) (BTW, What spice variant are you using? AFAIK LTspice doesn't support the classic .PRINT statement... i.e. a numerical LIST. .PRINT only seems to force _displaying_ the node specified in a plot.) ...Jim Thompson -- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | STV, Queen Creek, AZ 85142 Skype: skypeanalog | | | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at http://www.analog-innovations.com | 1962 | It's what you learn, after you know it all, that counts.
Reply by ●March 15, 20182018-03-15
On Thu, 15 Mar 2018 15:11:48 -0700, Jim Thompson <To-Email-Use-The-Envelope-Icon@On-My-Web-Site.com> wrote:>On Thu, 15 Mar 2018 05:30:38 -0700 (PDT), dakupoto@gmail.com wrote: > >>On Thursday, March 15, 2018 at 5:15:38 AM UTC+5:30, Jim Thompson wrote: >>> On Tue, 13 Mar 2018 23:39:57 -0700 (PDT), dakupoto@gmail.com wrote: >>> >>> >Could some electronics guru please help ? I am running some SPICE >>> >simulations on wideband impedance matching of the following setup. >>> >The source and load resistances are equal >>> >The source is a pure resistor >>> >Yhe load consists of a resistor(same value as source resistor) and >>> >a series inductor >>> >The matching network is a 6th order low pass filter with a >>> >series inductor as the last element. >>> >The RMS input power and the RMS output power are measured. >>> >The ratio RMS output power/RMS input power is very low, indicating >>> >poor matching and large invident signal reflection. How would the >>> >load inductor be bullified in a physically realizable way ? All >>> >hints/suggestions are welcome. Thanks in advance. >>> > >>> > >>> >>> Schematic? What does "wideband" mean? fL, fH, dB's? >>> >>> ...Jim Thompson >[snip] >> >>The SPICE netlist is listed below: >>Low pass filter impedance matching >>* Identical load source resistance >>* and series load inductor >> >>.PARAMS FREQ=3.453144e+08 LLIM=1.726572e+07 HLIM=6.043003e+08 AMPL=10 >> >>.SUBCKT LPFILT 1 2 >>* 1 IN >>* 2 OUT >>C1 1 0 2.353875e-10 >>L2 1 3 6.431530e-10 >>C3 3 0 8.787569e-10 >>L4 3 4 8.791318e-10 >>C5 4 0 6.441774e-10 >>L6 4 2 2.367870e-10 >>.ENDS >> >>* COMMENT OUT TRANSIENT ANALYSIS >>* TO RUN AC ANALYSIS AND VICE-VERSA >> >>LLOAD 6 7 1.200000e-08 >>LCOMP 5 6 1.772026e-11 >>RSRC 1 2 50.000000 >>RLOAD 7 0 50.000000 >>XLP 3 4 LPFILT >>VTST0 2 3 DC 0.0 AC 0.0 >>VTST1 4 5 DC 0.0 AC 0.0 >> >>* FOR TRANSIENT ANALYSIS >>VSIG 1 0 DC 0.005 SIN(0 {AMPL} {FREQ} 0 0 0) >>* FOR AC(SMALL SIGNAL) ANALYSIS >>VSIG 1 0 DC 0.005 AC {AMPL}) >> >>.OPTIONS METHOD=GEAR NOPAGE RELTOL=1m MINBREAK=5ps >>.IC >>.TRAN 75.0ns 500.0us 50.0ns UIC >>* INPUT/SOURCE SIDE >>.PRINT TRAN V(3) I(VTST0) >>* LOAD/OUTPUT SIDE >>.PRINT TRAN V(4) I(VTST1) >> >>.AC LIN 20000 {LLIM} {HLIM} >>.PRINT AC V(5) >>** FOR REFLECTION COEFFICIENT ETC., >>.PRINT AC V(2) >>.END >> >>Any hints/suggestions would be very helpful. >>Thanks in advance. > >Gozinta/gozouta specification? You're exhibiting the standard failure >here of thinking you can force what you think the solution should be >rather than specifying the desired results... sort like the "Searching >for an Op-Amp" fiasco >:-} > >(I actually have symbols in my spice library: gozinta, gozouta, and >gozbi... prettied-up _small_ port symbols ;-) > >(BTW, What spice variant are you using? AFAIK LTspice doesn't support >the classic .PRINT statement... i.e. a numerical LIST. .PRINT only >seems to force _displaying_ the node specified in a plot.) > > ...Jim ThompsonLike this, Berkeley-compliant, very handy for importing into post-processing analyses: TIME V(OUT) 0.000E+00 1.000E+01 1.000E-08 1.000E+01 2.000E-08 1.000E+01 3.000E-08 1.000E+01 4.000E-08 1.000E+01 5.000E-08 1.000E+01 6.000E-08 1.000E+01 7.000E-08 1.000E+01 8.000E-08 1.000E+01 9.000E-08 1.000E+01 1.000E-07 1.000E+01 1.100E-07 1.000E+01 1.200E-07 1.000E+01 1.300E-07 1.000E+01 1.400E-07 1.000E+01 1.500E-07 1.000E+01 1.600E-07 1.000E+01 1.700E-07 1.000E+01 1.800E-07 1.000E+01 1.900E-07 1.000E+01 2.000E-07 1.000E+01 2.100E-07 1.000E+01 2.200E-07 1.000E+01 2.300E-07 1.000E+01 2.400E-07 1.000E+01 2.500E-07 1.000E+01 2.600E-07 1.000E+01 2.700E-07 1.000E+01 2.800E-07 1.000E+01 2.900E-07 1.000E+01 3.000E-07 1.000E+01 3.100E-07 1.000E+01 3.200E-07 1.000E+01 3.300E-07 1.000E+01 3.400E-07 1.000E+01 3.500E-07 1.000E+01 3.600E-07 1.000E+01 3.700E-07 1.000E+01 3.800E-07 1.000E+01 3.900E-07 1.000E+01 4.000E-07 1.000E+01 4.100E-07 1.000E+01 4.200E-07 1.000E+01 4.300E-07 1.000E+01 4.400E-07 1.000E+01 4.500E-07 1.000E+01 4.600E-07 1.000E+01 4.700E-07 1.000E+01 4.800E-07 1.000E+01 4.900E-07 1.000E+01 5.000E-07 1.000E+01 5.100E-07 1.000E+01 5.200E-07 1.000E+01 5.300E-07 1.000E+01 5.400E-07 1.000E+01 5.500E-07 1.000E+01 5.600E-07 1.000E+01 5.700E-07 1.000E+01 5.800E-07 1.000E+01 5.900E-07 1.000E+01 6.000E-07 1.000E+01 6.100E-07 1.000E+01 6.200E-07 1.000E+01 6.300E-07 1.000E+01 6.400E-07 1.000E+01 6.500E-07 1.000E+01 6.600E-07 1.000E+01 6.700E-07 1.000E+01 6.800E-07 1.000E+01 6.900E-07 1.000E+01 7.000E-07 1.000E+01 7.100E-07 1.000E+01 7.200E-07 1.000E+01 7.300E-07 1.000E+01 7.400E-07 1.000E+01 7.500E-07 1.000E+01 7.600E-07 1.000E+01 7.700E-07 1.000E+01 7.800E-07 1.000E+01 7.900E-07 1.000E+01 8.000E-07 1.000E+01 8.100E-07 1.000E+01 8.200E-07 1.000E+01 8.300E-07 1.000E+01 8.400E-07 1.000E+01 8.500E-07 1.000E+01 8.600E-07 1.000E+01 8.700E-07 1.000E+01 8.800E-07 1.000E+01 8.900E-07 1.000E+01 9.000E-07 1.000E+01 9.100E-07 1.000E+01 9.200E-07 1.000E+01 9.300E-07 1.000E+01 9.400E-07 1.000E+01 9.500E-07 1.000E+01 9.600E-07 1.000E+01 9.700E-07 1.000E+01 9.800E-07 1.000E+01 9.900E-07 1.000E+01 1.000E-06 1.000E+01 1.010E-06 1.000E+01 1.020E-06 1.000E+01 1.030E-06 1.000E+01 1.040E-06 1.000E+01 1.050E-06 1.000E+01 1.060E-06 1.000E+01 1.070E-06 1.000E+01 1.080E-06 1.000E+01 1.090E-06 1.000E+01 1.100E-06 1.000E+01 1.110E-06 1.000E+01 1.120E-06 1.000E+01 1.130E-06 1.000E+01 1.140E-06 1.000E+01 1.150E-06 1.000E+01 1.160E-06 1.000E+01 1.170E-06 1.000E+01 1.180E-06 1.000E+01 1.190E-06 1.000E+01 1.200E-06 1.000E+01 1.210E-06 1.000E+01 1.220E-06 1.000E+01 1.230E-06 1.000E+01 1.240E-06 1.000E+01 1.250E-06 1.000E+01 1.260E-06 1.000E+01 1.270E-06 1.000E+01 1.280E-06 1.000E+01 1.290E-06 1.000E+01 1.300E-06 1.000E+01 1.310E-06 1.000E+01 1.320E-06 1.000E+01 1.330E-06 1.000E+01 1.340E-06 1.000E+01 1.350E-06 1.000E+01 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1.819E-05 1.000E+01 1.820E-05 1.000E+01 1.821E-05 1.000E+01 1.822E-05 1.000E+01 1.823E-05 1.000E+01 1.824E-05 1.000E+01 1.825E-05 1.000E+01 1.826E-05 1.000E+01 1.827E-05 1.000E+01 1.828E-05 1.000E+01 1.829E-05 1.000E+01 1.830E-05 1.000E+01 1.831E-05 1.000E+01 1.832E-05 1.000E+01 1.833E-05 1.000E+01 1.834E-05 1.000E+01 1.835E-05 1.000E+01 1.836E-05 1.000E+01 1.837E-05 1.000E+01 1.838E-05 1.000E+01 1.839E-05 1.000E+01 1.840E-05 1.000E+01 1.841E-05 1.000E+01 1.842E-05 1.000E+01 1.843E-05 1.000E+01 1.844E-05 1.000E+01 1.845E-05 1.000E+01 1.846E-05 1.000E+01 1.847E-05 1.000E+01 1.848E-05 1.000E+01 1.849E-05 1.000E+01 1.850E-05 1.000E+01 1.851E-05 1.000E+01 1.852E-05 1.000E+01 1.853E-05 1.000E+01 1.854E-05 1.000E+01 1.855E-05 1.000E+01 1.856E-05 1.000E+01 1.857E-05 1.000E+01 1.858E-05 1.000E+01 1.859E-05 1.000E+01 1.860E-05 1.000E+01 1.861E-05 1.000E+01 1.862E-05 1.000E+01 1.863E-05 1.000E+01 1.864E-05 1.000E+01 1.865E-05 1.000E+01 1.866E-05 1.000E+01 1.867E-05 1.000E+01 1.868E-05 1.000E+01 1.869E-05 1.000E+01 1.870E-05 1.000E+01 1.871E-05 1.000E+01 1.872E-05 1.000E+01 1.873E-05 1.000E+01 1.874E-05 1.000E+01 1.875E-05 1.000E+01 1.876E-05 1.000E+01 1.877E-05 1.000E+01 1.878E-05 1.000E+01 1.879E-05 1.000E+01 1.880E-05 1.000E+01 1.881E-05 1.000E+01 1.882E-05 1.000E+01 1.883E-05 1.000E+01 1.884E-05 1.000E+01 1.885E-05 1.000E+01 1.886E-05 1.000E+01 1.887E-05 1.000E+01 1.888E-05 1.000E+01 1.889E-05 1.000E+01 1.890E-05 1.000E+01 1.891E-05 1.000E+01 1.892E-05 1.000E+01 1.893E-05 1.000E+01 1.894E-05 1.000E+01 1.895E-05 1.000E+01 1.896E-05 1.000E+01 1.897E-05 1.000E+01 1.898E-05 1.000E+01 1.899E-05 1.000E+01 1.900E-05 1.000E+01 1.901E-05 1.000E+01 1.902E-05 1.000E+01 1.903E-05 1.000E+01 1.904E-05 1.000E+01 1.905E-05 1.000E+01 1.906E-05 1.000E+01 1.907E-05 1.000E+01 1.908E-05 1.000E+01 1.909E-05 1.000E+01 1.910E-05 1.000E+01 1.911E-05 1.000E+01 1.912E-05 1.000E+01 1.913E-05 1.000E+01 1.914E-05 1.000E+01 1.915E-05 1.000E+01 1.916E-05 1.000E+01 1.917E-05 1.000E+01 1.918E-05 1.000E+01 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1.969E-05 1.000E+01 1.970E-05 1.000E+01 1.971E-05 1.000E+01 1.972E-05 1.000E+01 1.973E-05 1.000E+01 1.974E-05 1.000E+01 1.975E-05 1.000E+01 1.976E-05 1.000E+01 1.977E-05 1.000E+01 1.978E-05 1.000E+01 1.979E-05 1.000E+01 1.980E-05 1.000E+01 1.981E-05 1.000E+01 1.982E-05 1.000E+01 1.983E-05 1.000E+01 1.984E-05 1.000E+01 1.985E-05 1.000E+01 1.986E-05 1.000E+01 1.987E-05 1.000E+01 1.988E-05 1.000E+01 1.989E-05 1.000E+01 1.990E-05 1.000E+01 1.991E-05 1.000E+01 1.992E-05 1.000E+01 1.993E-05 1.000E+01 1.994E-05 1.000E+01 1.995E-05 1.000E+01 1.996E-05 1.000E+01 1.997E-05 1.000E+01 1.998E-05 1.000E+01 1.999E-05 1.000E+01 2.000E-05 1.000E+01 2.001E-05 1.000E+01 2.002E-05 1.000E+01 2.003E-05 1.000E+01 2.004E-05 1.000E+01 2.005E-05 1.000E+01 2.006E-05 1.000E+01 2.007E-05 1.000E+01 2.008E-05 1.000E+01 2.009E-05 1.000E+01 2.010E-05 1.000E+01 2.011E-05 1.000E+01 2.012E-05 1.000E+01 2.013E-05 1.000E+01 2.014E-05 1.000E+01 2.015E-05 1.000E+01 2.016E-05 1.000E+01 2.017E-05 1.000E+01 2.018E-05 1.000E+01 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2.069E-05 1.000E+01 2.070E-05 1.000E+01 2.071E-05 1.000E+01 2.072E-05 1.000E+01 2.073E-05 1.000E+01 2.074E-05 1.000E+01 2.075E-05 1.000E+01 2.076E-05 1.000E+01 2.077E-05 1.000E+01 2.078E-05 1.000E+01 2.079E-05 1.000E+01 2.080E-05 1.000E+01 2.081E-05 1.000E+01 2.082E-05 1.000E+01 2.083E-05 1.000E+01 2.084E-05 1.000E+01 2.085E-05 1.000E+01 2.086E-05 1.000E+01 2.087E-05 1.000E+01 2.088E-05 1.000E+01 2.089E-05 1.000E+01 2.090E-05 1.000E+01 2.091E-05 1.000E+01 2.092E-05 1.000E+01 2.093E-05 1.000E+01 2.094E-05 1.000E+01 2.095E-05 1.000E+01 2.096E-05 1.000E+01 2.097E-05 1.000E+01 2.098E-05 1.000E+01 2.099E-05 1.000E+01 2.100E-05 1.000E+01 2.101E-05 1.000E+01 2.102E-05 1.000E+01 2.103E-05 1.000E+01 2.104E-05 1.000E+01 2.105E-05 1.000E+01 2.106E-05 1.000E+01 2.107E-05 1.000E+01 2.108E-05 1.000E+01 2.109E-05 1.000E+01 2.110E-05 1.000E+01 2.111E-05 1.000E+01 2.112E-05 1.000E+01 2.113E-05 1.000E+01 2.114E-05 1.000E+01 2.115E-05 1.000E+01 2.116E-05 1.000E+01 2.117E-05 1.000E+01 2.118E-05 1.000E+01 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2.169E-05 1.000E+01 2.170E-05 1.000E+01 2.171E-05 1.000E+01 2.172E-05 1.000E+01 2.173E-05 1.000E+01 2.174E-05 1.000E+01 2.175E-05 1.000E+01 2.176E-05 1.000E+01 2.177E-05 1.000E+01 2.178E-05 1.000E+01 2.179E-05 1.000E+01 2.180E-05 1.000E+01 2.181E-05 1.000E+01 2.182E-05 1.000E+01 2.183E-05 1.000E+01 2.184E-05 1.000E+01 2.185E-05 1.000E+01 2.186E-05 1.000E+01 2.187E-05 1.000E+01 2.188E-05 1.000E+01 2.189E-05 1.000E+01 2.190E-05 1.000E+01 2.191E-05 1.000E+01 2.192E-05 1.000E+01 2.193E-05 1.000E+01 2.194E-05 1.000E+01 2.195E-05 1.000E+01 2.196E-05 1.000E+01 2.197E-05 1.000E+01 2.198E-05 1.000E+01 2.199E-05 1.000E+01 2.200E-05 1.000E+01 2.201E-05 1.000E+01 2.202E-05 1.000E+01 2.203E-05 1.000E+01 2.204E-05 1.000E+01 2.205E-05 1.000E+01 2.206E-05 1.000E+01 2.207E-05 1.000E+01 2.208E-05 1.000E+01 2.209E-05 1.000E+01 2.210E-05 1.000E+01 2.211E-05 1.000E+01 2.212E-05 1.000E+01 2.213E-05 1.000E+01 2.214E-05 1.000E+01 2.215E-05 1.000E+01 2.216E-05 1.000E+01 2.217E-05 1.000E+01 2.218E-05 1.000E+01 2.219E-05 1.000E+01 2.220E-05 1.000E+01 2.221E-05 1.000E+01 2.222E-05 1.000E+01 2.223E-05 1.000E+01 2.224E-05 1.000E+01 2.225E-05 1.000E+01 2.226E-05 1.000E+01 2.227E-05 1.000E+01 2.228E-05 1.000E+01 2.229E-05 1.000E+01 2.230E-05 1.000E+01 2.231E-05 1.000E+01 2.232E-05 1.000E+01 2.233E-05 1.000E+01 2.234E-05 1.000E+01 2.235E-05 1.000E+01 2.236E-05 1.000E+01 2.237E-05 1.000E+01 2.238E-05 1.000E+01 2.239E-05 1.000E+01 2.240E-05 1.000E+01 2.241E-05 1.000E+01 2.242E-05 1.000E+01 2.243E-05 1.000E+01 2.244E-05 1.000E+01 2.245E-05 1.000E+01 2.246E-05 1.000E+01 2.247E-05 1.000E+01 2.248E-05 1.000E+01 2.249E-05 1.000E+01 2.250E-05 1.000E+01 2.251E-05 1.000E+01 2.252E-05 1.000E+01 2.253E-05 1.000E+01 2.254E-05 1.000E+01 2.255E-05 1.000E+01 2.256E-05 1.000E+01 2.257E-05 1.000E+01 2.258E-05 1.000E+01 2.259E-05 1.000E+01 2.260E-05 1.000E+01 2.261E-05 1.000E+01 2.262E-05 1.000E+01 2.263E-05 1.000E+01 2.264E-05 1.000E+01 2.265E-05 1.000E+01 2.266E-05 1.000E+01 2.267E-05 1.000E+01 2.268E-05 1.000E+01 2.269E-05 1.000E+01 2.270E-05 1.000E+01 2.271E-05 1.000E+01 2.272E-05 1.000E+01 2.273E-05 1.000E+01 2.274E-05 1.000E+01 2.275E-05 1.000E+01 2.276E-05 1.000E+01 2.277E-05 1.000E+01 2.278E-05 1.000E+01 2.279E-05 9.937E+00 2.280E-05 9.309E+00 2.281E-05 7.993E+00 2.282E-05 5.976E+00 2.283E-05 3.246E+00 2.284E-05 -1.150E-03 2.285E-05 -3.322E-04 2.286E-05 -2.140E-04 2.287E-05 -1.485E-04 2.288E-05 -1.152E-04 2.289E-05 -1.015E-04 2.290E-05 -8.441E-05 2.291E-05 -7.352E-05 2.292E-05 -6.695E-05 2.293E-05 -6.300E-05 2.294E-05 -6.064E-05 2.295E-05 -5.923E-05 2.296E-05 -5.842E-05 2.297E-05 -5.789E-05 2.298E-05 -5.756E-05 2.299E-05 -5.736E-05 2.300E-05 -5.724E-05 ...Jim Thompson -- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | STV, Queen Creek, AZ 85142 Skype: skypeanalog | | | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at http://www.analog-innovations.com | 1962 | It's what you learn, after you know it all, that counts.
Reply by ●March 15, 20182018-03-15
On Thu, 15 Mar 2018 16:26:47 -0700, Jim Thompson <To-Email-Use-The-Envelope-Icon@On-My-Web-Site.com> wrote:>On Thu, 15 Mar 2018 15:11:48 -0700, Jim Thompson ><To-Email-Use-The-Envelope-Icon@On-My-Web-Site.com> wrote: > >>On Thu, 15 Mar 2018 05:30:38 -0700 (PDT), dakupoto@gmail.com wrote: >> >>>On Thursday, March 15, 2018 at 5:15:38 AM UTC+5:30, Jim Thompson wrote: >>>> On Tue, 13 Mar 2018 23:39:57 -0700 (PDT), dakupoto@gmail.com wrote: >>>> >>>> >Could some electronics guru please help ? I am running some SPICE >>>> >simulations on wideband impedance matching of the following setup. >>>> >The source and load resistances are equal >>>> >The source is a pure resistor >>>> >Yhe load consists of a resistor(same value as source resistor) and >>>> >a series inductor >>>> >The matching network is a 6th order low pass filter with a >>>> >series inductor as the last element. >>>> >The RMS input power and the RMS output power are measured. >>>> >The ratio RMS output power/RMS input power is very low, indicating >>>> >poor matching and large invident signal reflection. How would the >>>> >load inductor be bullified in a physically realizable way ? All >>>> >hints/suggestions are welcome. Thanks in advance. >>>> > >>>> > >>>> >>>> Schematic? What does "wideband" mean? fL, fH, dB's? >>>> >>>> ...Jim Thompson >>[snip] >>> >>>The SPICE netlist is listed below: >>>Low pass filter impedance matching >>>* Identical load source resistance >>>* and series load inductor >>> >>>.PARAMS FREQ=3.453144e+08 LLIM=1.726572e+07 HLIM=6.043003e+08 AMPL=10 >>> >>>.SUBCKT LPFILT 1 2 >>>* 1 IN >>>* 2 OUT >>>C1 1 0 2.353875e-10 >>>L2 1 3 6.431530e-10 >>>C3 3 0 8.787569e-10 >>>L4 3 4 8.791318e-10 >>>C5 4 0 6.441774e-10 >>>L6 4 2 2.367870e-10 >>>.ENDS >>> >>>* COMMENT OUT TRANSIENT ANALYSIS >>>* TO RUN AC ANALYSIS AND VICE-VERSA >>> >>>LLOAD 6 7 1.200000e-08 >>>LCOMP 5 6 1.772026e-11 >>>RSRC 1 2 50.000000 >>>RLOAD 7 0 50.000000 >>>XLP 3 4 LPFILT >>>VTST0 2 3 DC 0.0 AC 0.0 >>>VTST1 4 5 DC 0.0 AC 0.0 >>> >>>* FOR TRANSIENT ANALYSIS >>>VSIG 1 0 DC 0.005 SIN(0 {AMPL} {FREQ} 0 0 0) >>>* FOR AC(SMALL SIGNAL) ANALYSIS >>>VSIG 1 0 DC 0.005 AC {AMPL}) >>> >>>.OPTIONS METHOD=GEAR NOPAGE RELTOL=1m MINBREAK=5ps >>>.IC >>>.TRAN 75.0ns 500.0us 50.0ns UIC >>>* INPUT/SOURCE SIDE >>>.PRINT TRAN V(3) I(VTST0) >>>* LOAD/OUTPUT SIDE >>>.PRINT TRAN V(4) I(VTST1) >>> >>>.AC LIN 20000 {LLIM} {HLIM} >>>.PRINT AC V(5) >>>** FOR REFLECTION COEFFICIENT ETC., >>>.PRINT AC V(2) >>>.END >>> >>>Any hints/suggestions would be very helpful. >>>Thanks in advance. >> >>Gozinta/gozouta specification? You're exhibiting the standard failure >>here of thinking you can force what you think the solution should be >>rather than specifying the desired results... sort like the "Searching >>for an Op-Amp" fiasco >:-} >> >>(I actually have symbols in my spice library: gozinta, gozouta, and >>gozbi... prettied-up _small_ port symbols ;-) >> >>(BTW, What spice variant are you using? AFAIK LTspice doesn't support >>the classic .PRINT statement... i.e. a numerical LIST. .PRINT only >>seems to force _displaying_ the node specified in a plot.) >> >> ...Jim Thompson > >Like this, Berkeley-compliant, very handy for importing into >post-processing analyses:Better yet, once I remembered how to specify I/O (haven't done it since last November ;-)... from working up a model for TC4421 that will actually play with LTspice:>TIME V(IN) V(OUT) 0.000E+00 0.000E+00 1.000E+01 1.000E-08 7.143E-03 1.000E+01 2.000E-08 1.429E-02 1.000E+01 3.000E-08 2.143E-02 1.000E+01 4.000E-08 2.857E-02 1.000E+01 5.000E-08 3.571E-02 1.000E+01 6.000E-08 4.286E-02 1.000E+01 7.000E-08 5.000E-02 1.000E+01 8.000E-08 5.714E-02 1.000E+01 9.000E-08 6.429E-02 1.000E+01 1.000E-07 7.143E-02 1.000E+01 1.100E-07 7.857E-02 1.000E+01 1.200E-07 8.571E-02 1.000E+01 1.300E-07 9.286E-02 1.000E+01 1.400E-07 1.000E-01 1.000E+01 1.500E-07 1.071E-01 1.000E+01 1.600E-07 1.143E-01 1.000E+01 1.700E-07 1.214E-01 1.000E+01 1.800E-07 1.286E-01 1.000E+01 1.900E-07 1.357E-01 1.000E+01 2.000E-07 1.429E-01 1.000E+01 2.100E-07 1.500E-01 1.000E+01 2.200E-07 1.571E-01 1.000E+01 2.300E-07 1.643E-01 1.000E+01 2.400E-07 1.714E-01 1.000E+01 2.500E-07 1.786E-01 1.000E+01 2.600E-07 1.857E-01 1.000E+01 2.700E-07 1.929E-01 1.000E+01 2.800E-07 2.000E-01 1.000E+01 2.900E-07 2.071E-01 1.000E+01 3.000E-07 2.143E-01 1.000E+01 3.100E-07 2.214E-01 1.000E+01 3.200E-07 2.286E-01 1.000E+01 3.300E-07 2.357E-01 1.000E+01 3.400E-07 2.429E-01 1.000E+01 3.500E-07 2.500E-01 1.000E+01 3.600E-07 2.571E-01 1.000E+01 3.700E-07 2.643E-01 1.000E+01 3.800E-07 2.714E-01 1.000E+01 3.900E-07 2.786E-01 1.000E+01 4.000E-07 2.857E-01 1.000E+01 4.100E-07 2.929E-01 1.000E+01 4.200E-07 3.000E-01 1.000E+01 4.300E-07 3.071E-01 1.000E+01 4.400E-07 3.143E-01 1.000E+01 4.500E-07 3.214E-01 1.000E+01 4.600E-07 3.286E-01 1.000E+01 4.700E-07 3.357E-01 1.000E+01 4.800E-07 3.429E-01 1.000E+01 4.900E-07 3.500E-01 1.000E+01 5.000E-07 3.571E-01 1.000E+01 5.100E-07 3.643E-01 1.000E+01 5.200E-07 3.714E-01 1.000E+01 5.300E-07 3.786E-01 1.000E+01 5.400E-07 3.857E-01 1.000E+01 5.500E-07 3.929E-01 1.000E+01 5.600E-07 4.000E-01 1.000E+01 5.700E-07 4.071E-01 1.000E+01 5.800E-07 4.143E-01 1.000E+01 5.900E-07 4.214E-01 1.000E+01 6.000E-07 4.286E-01 1.000E+01 6.100E-07 4.357E-01 1.000E+01 6.200E-07 4.429E-01 1.000E+01 6.300E-07 4.500E-01 1.000E+01 6.400E-07 4.571E-01 1.000E+01 6.500E-07 4.643E-01 1.000E+01 6.600E-07 4.714E-01 1.000E+01 6.700E-07 4.786E-01 1.000E+01 6.800E-07 4.857E-01 1.000E+01 6.900E-07 4.929E-01 1.000E+01 7.000E-07 5.000E-01 1.000E+01 7.100E-07 5.071E-01 1.000E+01 7.200E-07 5.143E-01 1.000E+01 7.300E-07 5.214E-01 1.000E+01 7.400E-07 5.286E-01 1.000E+01 7.500E-07 5.357E-01 1.000E+01 7.600E-07 5.429E-01 1.000E+01 7.700E-07 5.500E-01 1.000E+01 7.800E-07 5.571E-01 1.000E+01 7.900E-07 5.643E-01 1.000E+01 8.000E-07 5.714E-01 1.000E+01 8.100E-07 5.786E-01 1.000E+01 8.200E-07 5.857E-01 1.000E+01 8.300E-07 5.929E-01 1.000E+01 8.400E-07 6.000E-01 1.000E+01 8.500E-07 6.071E-01 1.000E+01 8.600E-07 6.143E-01 1.000E+01 8.700E-07 6.214E-01 1.000E+01 8.800E-07 6.286E-01 1.000E+01 8.900E-07 6.357E-01 1.000E+01 9.000E-07 6.429E-01 1.000E+01 9.100E-07 6.500E-01 1.000E+01 9.200E-07 6.571E-01 1.000E+01 9.300E-07 6.643E-01 1.000E+01 9.400E-07 6.714E-01 1.000E+01 9.500E-07 6.786E-01 1.000E+01 9.600E-07 6.857E-01 1.000E+01 9.700E-07 6.929E-01 1.000E+01 9.800E-07 7.000E-01 1.000E+01 9.900E-07 7.071E-01 1.000E+01 1.000E-06 7.143E-01 1.000E+01 1.010E-06 7.214E-01 1.000E+01 1.020E-06 7.286E-01 1.000E+01 1.030E-06 7.357E-01 1.000E+01 1.040E-06 7.429E-01 1.000E+01 1.050E-06 7.500E-01 1.000E+01 1.060E-06 7.571E-01 1.000E+01 1.070E-06 7.643E-01 1.000E+01 1.080E-06 7.714E-01 1.000E+01 1.090E-06 7.786E-01 1.000E+01 1.100E-06 7.857E-01 1.000E+01 1.110E-06 7.929E-01 1.000E+01 1.120E-06 8.000E-01 1.000E+01 1.130E-06 8.071E-01 1.000E+01 1.140E-06 8.143E-01 1.000E+01 1.150E-06 8.214E-01 1.000E+01 1.160E-06 8.286E-01 1.000E+01 1.170E-06 8.357E-01 1.000E+01 1.180E-06 8.429E-01 1.000E+01 1.190E-06 8.500E-01 1.000E+01 1.200E-06 8.571E-01 1.000E+01 1.210E-06 8.643E-01 1.000E+01 1.220E-06 8.714E-01 1.000E+01 1.230E-06 8.786E-01 1.000E+01 1.240E-06 8.857E-01 1.000E+01 1.250E-06 8.929E-01 1.000E+01 1.260E-06 9.000E-01 1.000E+01 1.270E-06 9.071E-01 1.000E+01 1.280E-06 9.143E-01 1.000E+01 1.290E-06 9.214E-01 1.000E+01 1.300E-06 9.286E-01 1.000E+01 1.310E-06 9.357E-01 1.000E+01 1.320E-06 9.429E-01 1.000E+01 1.330E-06 9.500E-01 1.000E+01 1.340E-06 9.571E-01 1.000E+01 1.350E-06 9.643E-01 1.000E+01 1.360E-06 9.714E-01 1.000E+01 1.370E-06 9.786E-01 1.000E+01 1.380E-06 9.857E-01 1.000E+01 1.390E-06 9.929E-01 1.000E+01 1.400E-06 1.000E+00 1.000E+01 1.410E-06 1.007E+00 1.000E+01 1.420E-06 1.014E+00 1.000E+01 1.430E-06 1.021E+00 1.000E+01 1.440E-06 1.029E+00 1.000E+01 1.450E-06 1.036E+00 1.000E+01 1.460E-06 1.043E+00 1.000E+01 1.470E-06 1.050E+00 1.000E+01 1.480E-06 1.057E+00 1.000E+01 1.490E-06 1.064E+00 1.000E+01 1.500E-06 1.071E+00 1.000E+01 1.510E-06 1.079E+00 1.000E+01 1.520E-06 1.086E+00 1.000E+01 1.530E-06 1.093E+00 1.000E+01 1.540E-06 1.100E+00 1.000E+01 1.550E-06 1.107E+00 1.000E+01 1.560E-06 1.114E+00 1.000E+01 1.570E-06 1.121E+00 1.000E+01 1.580E-06 1.129E+00 1.000E+01 1.590E-06 1.136E+00 1.000E+01 1.600E-06 1.143E+00 1.000E+01 1.610E-06 1.150E+00 1.000E+01 1.620E-06 1.157E+00 1.000E+01 1.630E-06 1.164E+00 1.000E+01 1.640E-06 1.171E+00 1.000E+01 1.650E-06 1.179E+00 1.000E+01 1.660E-06 1.186E+00 1.000E+01 1.670E-06 1.193E+00 1.000E+01 1.680E-06 1.200E+00 1.000E+01 1.690E-06 1.207E+00 1.000E+01 1.700E-06 1.214E+00 1.000E+01 1.710E-06 1.221E+00 1.000E+01 1.720E-06 1.229E+00 1.000E+01 1.730E-06 1.236E+00 1.000E+01 1.740E-06 1.243E+00 1.000E+01 1.750E-06 1.250E+00 1.000E+01 1.760E-06 1.257E+00 1.000E+01 1.770E-06 1.264E+00 1.000E+01 1.780E-06 1.271E+00 1.000E+01 1.790E-06 1.279E+00 1.000E+01 1.800E-06 1.286E+00 1.000E+01 1.810E-06 1.293E+00 1.000E+01 1.820E-06 1.300E+00 1.000E+01 1.830E-06 1.307E+00 1.000E+01 1.840E-06 1.314E+00 1.000E+01 1.850E-06 1.321E+00 1.000E+01 1.860E-06 1.329E+00 1.000E+01 1.870E-06 1.336E+00 1.000E+01 1.880E-06 1.343E+00 1.000E+01 1.890E-06 1.350E+00 1.000E+01 1.900E-06 1.357E+00 1.000E+01 1.910E-06 1.364E+00 1.000E+01 1.920E-06 1.371E+00 1.000E+01 1.930E-06 1.379E+00 1.000E+01 1.940E-06 1.386E+00 1.000E+01 1.950E-06 1.393E+00 1.000E+01 1.960E-06 1.400E+00 1.000E+01 1.970E-06 1.407E+00 1.000E+01 1.980E-06 1.414E+00 1.000E+01 1.990E-06 1.421E+00 1.000E+01 2.000E-06 1.429E+00 1.000E+01 2.010E-06 1.436E+00 1.000E+01 2.020E-06 1.443E+00 1.000E+01 2.030E-06 1.450E+00 1.000E+01 2.040E-06 1.457E+00 1.000E+01 2.050E-06 1.464E+00 1.000E+01 2.060E-06 1.471E+00 1.000E+01 2.070E-06 1.479E+00 1.000E+01 2.080E-06 1.486E+00 1.000E+01 2.090E-06 1.493E+00 1.000E+01 2.100E-06 1.500E+00 1.000E+01 2.110E-06 1.507E+00 1.000E+01 2.120E-06 1.514E+00 1.000E+01 2.130E-06 1.521E+00 1.000E+01 2.140E-06 1.529E+00 1.000E+01 2.150E-06 1.536E+00 1.000E+01 2.160E-06 1.543E+00 1.000E+01 2.170E-06 1.550E+00 1.000E+01 2.180E-06 1.557E+00 1.000E+01 2.190E-06 1.564E+00 1.000E+01 2.200E-06 1.571E+00 1.000E+01 2.210E-06 1.579E+00 1.000E+01 2.220E-06 1.586E+00 1.000E+01 2.230E-06 1.593E+00 1.000E+01 2.240E-06 1.600E+00 1.000E+01 2.250E-06 1.607E+00 1.000E+01 2.260E-06 1.614E+00 1.000E+01 2.270E-06 1.621E+00 1.000E+01 2.280E-06 1.629E+00 1.000E+01 2.290E-06 1.636E+00 1.000E+01 2.300E-06 1.643E+00 1.000E+01 2.310E-06 1.650E+00 1.000E+01 2.320E-06 1.657E+00 1.000E+01 2.330E-06 1.664E+00 1.000E+01 2.340E-06 1.671E+00 1.000E+01 2.350E-06 1.679E+00 1.000E+01 2.360E-06 1.686E+00 1.000E+01 2.370E-06 1.693E+00 1.000E+01 2.380E-06 1.700E+00 1.000E+01 2.390E-06 1.707E+00 1.000E+01 2.400E-06 1.714E+00 1.000E+01 2.410E-06 1.721E+00 1.000E+01 2.420E-06 1.729E+00 1.000E+01 2.430E-06 1.736E+00 1.000E+01 2.440E-06 1.743E+00 1.000E+01 2.450E-06 1.750E+00 1.000E+01 2.460E-06 1.757E+00 1.000E+01 2.470E-06 1.764E+00 1.000E+01 2.480E-06 1.771E+00 1.000E+01 2.490E-06 1.779E+00 1.000E+01 2.500E-06 1.786E+00 1.000E+01 2.510E-06 1.793E+00 1.000E+01 2.520E-06 1.800E+00 1.000E+01 2.530E-06 1.807E+00 1.000E+01 2.540E-06 1.814E+00 1.000E+01 2.550E-06 1.821E+00 1.000E+01 2.560E-06 1.829E+00 1.000E+01 2.570E-06 1.836E+00 1.000E+01 2.580E-06 1.843E+00 1.000E+01 2.590E-06 1.850E+00 1.000E+01 2.600E-06 1.857E+00 1.000E+01 2.610E-06 1.864E+00 1.000E+01 2.620E-06 1.871E+00 1.000E+01 2.630E-06 1.879E+00 1.000E+01 2.640E-06 1.886E+00 1.000E+01 2.650E-06 1.893E+00 1.000E+01 2.660E-06 1.900E+00 1.000E+01 2.670E-06 1.907E+00 1.000E+01 2.680E-06 1.914E+00 1.000E+01 2.690E-06 1.921E+00 1.000E+01 2.700E-06 1.929E+00 1.000E+01 2.710E-06 1.936E+00 1.000E+01 2.720E-06 1.943E+00 1.000E+01 2.730E-06 1.950E+00 1.000E+01 2.740E-06 1.957E+00 1.000E+01 2.750E-06 1.964E+00 1.000E+01 2.760E-06 1.971E+00 1.000E+01 2.770E-06 1.979E+00 1.000E+01 2.780E-06 1.986E+00 1.000E+01 2.790E-06 1.993E+00 9.937E+00 2.800E-06 2.000E+00 9.309E+00 2.810E-06 2.007E+00 7.992E+00 2.820E-06 2.014E+00 5.975E+00 2.830E-06 2.021E+00 3.246E+00 2.840E-06 2.029E+00 -5.370E-04 2.850E-06 2.036E+00 -3.321E-04 2.860E-06 2.043E+00 -2.138E-04 2.870E-06 2.050E+00 -1.484E-04 2.880E-06 2.057E+00 -1.152E-04 2.890E-06 2.064E+00 -1.014E-04 2.900E-06 2.071E+00 -8.439E-05 2.910E-06 2.079E+00 -7.351E-05 2.920E-06 2.086E+00 -6.695E-05 2.930E-06 2.093E+00 -6.300E-05 2.940E-06 2.100E+00 -6.064E-05 2.950E-06 2.107E+00 -5.924E-05 2.960E-06 2.114E+00 -5.842E-05 2.970E-06 2.121E+00 -5.789E-05 2.980E-06 2.129E+00 -5.756E-05 2.990E-06 2.136E+00 -5.736E-05 3.000E-06 2.143E+00 -5.724E-05 3.010E-06 2.150E+00 -5.716E-05 3.020E-06 2.157E+00 -5.712E-05 3.030E-06 2.164E+00 -5.709E-05 3.040E-06 2.171E+00 -5.708E-05 3.050E-06 2.179E+00 -5.707E-05 3.060E-06 2.186E+00 -5.706E-05 3.070E-06 2.193E+00 -5.706E-05 3.080E-06 2.200E+00 -5.705E-05 3.090E-06 2.207E+00 -5.705E-05 3.100E-06 2.214E+00 -5.705E-05 3.110E-06 2.221E+00 -5.705E-05 3.120E-06 2.229E+00 -5.705E-05 3.130E-06 2.236E+00 -5.705E-05 3.140E-06 2.243E+00 -5.705E-05 3.150E-06 2.250E+00 -5.705E-05 3.160E-06 2.257E+00 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