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## Filters and an Oscillator Using a New Solenoid Model A transmission-line model enables a wider range of filter and oscillator designs

Citations: | 1 - 0 self |

### Citations

232 |
A simple model of feedback oscillator noise spectrum,”
- Leeson
- 1966
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Citation Context ...e model fails.s2nd-mode oscillator The potential for improved unloaded Q of the new solenoid model supports its use in oscillators with lower phase noise. Examination of the benchmark paper by Leeson =-=[4]-=- reveals that neither a particular oscillator topology nor circuit complexity is required to achieve low phase noise. In fact, overly complex designs risk additional resonances from component and layo... |

12 |
Resistance and Self-capacitance of single-layer solenoids, Wireless Engineer,
- Medhurst, F
- 1947
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Citation Context ... model that is simulated from the schematic and computed by the GENESYS [2] software program is given in Figure 1(b).sNumerous attempts at mathematically solving the self-capacitance failed. Medhurst =-=[6]-=- 30s·sAPPLIED MICROWAVE & WIRELESS Figure 1. Classic inductor model with capacitance from Medhurst (a) and the transmission amplitude and phase responses (b). 32s·sAPPLIED MICROWAVE & WIRELESS aband... |

7 |
Oscillator Design and Computer Simulation
- Rhea
- 1995
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Citation Context ... fundamentals frees the designer from the shackles of a particular topology and often results in a more elegant, higher performance design. For a further description of design methods please refer to =-=[9]-=-. Limitations of the new model This paper illustrates the usefulness of the new solenoid model. I found it compelling that inductance and capacitance measured at low frequency are capable of predictin... |

7 |
The Psychological Corporation
- manual
- 1981
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Citation Context ...Hz bandpass filter. This filter is often designed using an approximate method described in Matthaei [5]. The accuracy of this routine degrades with increasing bandwidth. In this case, exact synthesis =-=[11]-=- was used to find element values. This filter has five transmission zeros at DC and one transmission zero at infinite frequency. An =S/FILTER= program screen, with the Specification tab active, is giv... |

7 |
Inductance Formulas for Circular and Square Coils,
- Wheeler
- 1982
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Citation Context ...rounded. By chance, the inter-winding capacitance was effectively capacitance to ground. Models for common configurations The static inductance may be estimated using the popular formula from Wheeler =-=[13]-=-, (4) where n is the number of turns, a is the solenoid radius and c is the solenoid length. Wheeler’s formula is accurate to ±1.5 percent for small wire diameter. For smaller gauge wire it overestima... |

4 |
Inductance and resistance of screened coils
- Bogle
- 1940
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Citation Context ...0 is the velocity of light in a vacuum and Z0 is the characteristic impedance of the configuration. Effect of a shield on inductance Wheeler’s inductance formula assumes an unshielded solenoid. Bogle =-=[1]-=- gives an inductance reduction factor based on a conducting, non-magnetic, circular shield. (6) The shielded inductance is found by multiplying the unshielded inductance by Bogle’s factor. A shield ra... |

3 |
Microwave Transmission-Line Impedance Data
- Gunston
- 1973
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Citation Context ...inder. For example, to find the capacitance of the solenoid in Figure 2, the capacitance of a cylinder over ground is used. In Table 1, the characteristic impedance formula for various configurations =-=[3]-=- is used to compute the capacitance by the formula (5) where V0 is the velocity of light in a vacuum and Z0 is the characteristic impedance of the configuration. Effect of a shield on inductance Wheel... |

2 |
Modeling Helical Air Coils for Wireless and
- Mezak
- 1998
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Citation Context ...d as they would be for a simple transmission line model. The reason is that propagation on a solenoid over a ground plane is dispersive; it is not pure-TEM mode. Only one month after Rhea [10], Mezak =-=[7]-=- published a paper that presents a solution to the solenoid that considers dispersion. Mezak’s solution is more mathematically involved than Rhea’s solution, but Mezak’s is more accurate. Shielded sol... |

2 |
A Multimode High-Frequency Inductor Model
- Rhea
- 1997
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Citation Context ...ce turn-to-turn. To understand how this error occurred, consider the analyzer data and a proposed new model. A new solenoid model Given in Figure 2 is a 12.9 turn solenoid mounted over a ground plane =-=[10]-=-. It is wound with 18 gauge copper wire. The mean radius is 0.268 inches, the mean length is 0.890 inches, and the outside of the wire is 0.135 inches above the aluminum ground plane. The resulting tr... |

2 |
An Experimental Determination of the Period of Electrical Oscillations
- Webster
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Citation Context ... historic modelsOne need only ponder a solenoid inductor to realize that the close spaced turns are capacitively coupled. But how do you measure capacitance that is shorted by a turn of wire? Webster =-=[12]-=- solved this problem by building a parallelresonant mode oscillator using an inductor and its self-capacitance. Knowing the inductance (measured at low frequency) and the oscillating frequency, you ma... |