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Lossless Multi-Frequency Tuner (Closed Form): LPTUNER2



The LPTUNER2 element is a frequency-dependent, lossless two-port network which transforms the impedance Z0 seen at port 2 to a user-defined impedance seen at port 1. Specifying the magnitude and angle arrays of the reflection coefficient as well as the system reference impedance sets the user-defined impedance. It is assumed that port 2 of this element is loaded in the same Z0 as specified for the element. A bias voltage can be applied to port 3 to bias a device connected to port 1, eliminating the need for a BIASTEE element. This element is a vectorized version of the HBTUNER2 or LTUNER2 elements and allows the specification of the reflection coefficient at as many frequencies as the user desires.


Name Description Unit Type Default
ID Element ID Text TU1
Mag Array of magnitudes of gamma looking into port 1   {0.5}
Ang Array of angles of gamma looking into port 1 Angle {0} degs
Fo Array of frequencies at which mag and ang are specified Frequency {10} GHz
Zo System impedance Resistance 50 ohms

Parameter Details

Mag, Ang, & Fo. These parameters are arrays which must contain the same number of elements. Array elements are enclosed in curly brackets and are comma deliminated.

Parameter Restrictions and Recommendations

  1. -1 < Mag1, Mag2, Mag3 < 1. If Mag1, Mag2, or Mag3 is less than or equal to -1, it will be set to -0.99999. If Mag1, Mag2, or Mag3 is greater or equal to 1, it will be set to 0.99999.

  2. Zo must be greater than or equal to 0.1 ohm

  3. The Mag, Ang and Fo array's must have the same number of elements

  4. The frequencies in the Fo array must be order sequentially

Implementation Details

It is assumed that S22 is equal to -S11 in this implementation. This assumption fully specifies the S-Parameters of a lossless reciprocal network.

where f is the current simulation frequency, and n is the number of elements in the Fo array.


This element does not have an assigned layout cell. You can assign artwork cells to any element. See “Assigning Artwork Cells to Layout of Schematic Elements” for details.

Recommendations for Use

NOTE: The impedance seen at port 1 of the element is a lossless transformation of an impedance Zo seen at port 2, to the specified reflection coefficient. If port 2 is not loaded with an impedance equal to Zo, the reflection seen at port 1 is not as specified.

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