Frequency

Frequency Tool

This section allows the operator to calculate the frequency set of a given Start, Stop, Step or Number of Points. To get the frequency of the point either move the slider or press the right or left buttons. In addition if the operator adds a frequency value to search the list and selects the desired radio button for the closest, next upper or next lower point and presses the “Search Closest Point” button the desired value will be found. Press Clear too clear values and start again or Close to quit.

 

Figure 72 – Frequency Wavelength

Wavelength Tool

This section allows the operator to calculate the wavelength and Bandwidth or percent of bandwidth. Enter the Frequency and edit the Er from the default of air edit the Phase Velocity also if desired and then Press the “Calculate” button to perform the function. The user can additionally add either the percent of Bandwidth or the Bandwidth and it will also calculate the opposing Bandwidth or Percent of Bandwidth depending on which initial value was supplied for that portion of the calculation. Press Clear to clear values and start again or Close to quit.

Figure 73 - Wavelength Tool

 

Figure 74 – Frequency Wavelength with edited Phase Velocity

 

Display Ranging Tool

This tool is used for ranging display information on test instruments shown is the range inputs of 5dB Scale per Division, reference position of 8 (0 to 10 range of graduations on display) and Reference Value of -5dB. Press calculate and it computes the Min Range value of -45dB and Max Range value of +5dB. Press Clear to clear text boxes and reenter to calculate again.

 

Figure 75 – Frequency Ranging Tool

Line Calc

This section of the calculator has functions for the characterization of Rectangular and Cylindrical Cavities, Coax, Microstrip, Stripline, and Waveguide. Select the appropriate tab for the desired functions.

 

Waveguide

Selecting this tab the user can perform calculation for Waveguide by giving inputs of width, height, Dielectric Constant – Er and the wave mode to compute the rest. In addition, if the frequency of use is input then the full and quarter wavelengths are computed. I have defaulted to 1Ghz frequency input for something to start calculations with. The user is expected to modify as needed. Included in the calculations are the Cut-off frequency, the Upper and Lower Operating Range and the Velocity factor of propagation. By checking the PreDef Waveguide checkbox the user gets the calculations for all the predefined waveguide. Un-checking the box allows the user to input non-standard waveguide dimensions to calculate.

 

LineCalc_Waveguide

Figure 76 - Waveguide


Stripline

Selecting this tab the user can perform calculation for StripLine by giving inputs of trace width, trace thickness, height1 from lower ground plane, height2 from upper ground plane and Characteristic Impedance - Zo and Dielectric Constant - Er.  The user must input these and either the Er or Zo of these quantities and the program will compute the remainder and the velocity factor as a ratio of the speed of light. In addition, if the frequency of use is input then the full and quarter wavelengths are computed. I have defaulted to 1Ghz frequency input. By selecting the Asymmetrical check box the user can select between Asymmetric or Symmetric Stripline. In the case of Symmetric the Height1 and Height2 are equal and the Height2 prompt is invisible.

 

LineCalc_Stripline

Figure 77 - Stripline

 


MicroStrip

Selecting this tab the user can perform calculation for MicroStrip line width, height from ground plane or Dielectric Thickness, Characteristic Impedance - Zo and Dielectric Constant - Er.  The user can input any three of these quantities and the program will compute the remainder and the velocity factor as a ratio of the speed of light. In addition, if the frequency of use is input then the full and quarter wavelengths are computed. I have defaulted to 1GHz frequency input.

 

LineCalc_Microstrip

Figure 78 - Microstrip


Coaxial Line

This tab selection gives the user the functions to compute the characteristics of Coax Cable. The user can select from Predefined Coax types by checking the Defined Coax box or Custom Inputs by un-checking. The user can input his own variables in custom input mode. The four basic inputs are Inner Diameter (in), Outer Diameter (in), Dielectric Constant-Er and Characteristic Impedance-Zo. Input any of these three and Press the “Calculate Coax” button to compute the remaining fourth main element. The rest of the calculations are performed from the basic inputs and the Frequency Input. It computes the Cut-off frequency, Capacitance and Inductance per foot, the Time Delay, Velocity of Propagation as percent of light. With the frequency input it will add the calculation of full and quarter wavelength. I have defaulted to 1Ghz frequency input.

 

LineCalc_Coax

Figure 79 - Coax

 

 

Coaxial Cavity

This section not yet completed.


Rectangular Cavity with PCB

This section gives an approximation for the rectangular cavity resonant frequency for unloaded, fully loaded (i.e. full of dielectric of a known Dielectric Constant) and a partially loaded Microstrip cavities with PCB assembies inserted within them. The user must input the cavity Length, Width, Height, the Dielectric Constant – Er and height of the PCB and finally select from the pull down menu the Electric Field mode. I only support the Electric Field fundamental modes at this time, as these are the major modes used.

 

I currently provide the Empty Cavity and 3D resonant frequencies. The Er will determine the 3D case. If the Er is 1, then the 3D freq is the Empty case, if a Er of >1 is provided then the resonant frequency of the 3D cavity will be fully loaded. In addition I also calculate the Microstrip (partially loaded by addition of microstrip circuit boards inside the cavity. The first order is the empirical formula; the second iteration uses the first and the empty cavity case to determine an iterative solution for the Microstrip case. Also calculated is the Inductance and Capacitance for the cavity.

 

Press the Calculate Cavity to perform the calculation, Clear to clear the fields and reenter or Close to quit the screen.

 

LineCalc_RectCavity_b

Figure 80 – Rectangular Cavity

 


Cylindrical Cavity

This section calculates the cylindrical cavity resonant frequency and Q for unloaded or fully loaded cavity (e.g. full of dielectric of a known Dielectric Constant). The user must input the cavity diameter, length dimensions, the Dielectric Constant – Er, Tan Theta and select the material type and finally select from the pull down menu the Field mode. Checking (TE mode) or Unchecking(TM mode) the TE (TM) check box will display and calculate for either the TE or TM field modes in the cavity. I coded all the major lower Frequencies to the J0 or Jp0 values up to 10. The user can add special mode and Bessel Zero function values to add modes not presently supported.Press the Calculate Cylindrical Cavity to perform the calculations, Clear to clear the fields and reenter or Close to quit the screen.

 

LineCalc_CylCavity_TE

Figure 81 – Cylindrical Cavity TE Mode

 

LineCalc_CylCavity_TM

Figure 82 – Cylindrical Cavity TM Mode


Rectangular Cavity

This section calculates the Rectangular cavity resonant frequency and Q for unloaded or fully loaded cavity (e.g. full of dielectric of a known Dielectric Constant). The user must input the cavity x,y,z dimensions, the Dielectric Constant – Er, Tan Theta and select the material type and finally select from the pull down menu the Field mode. Checking (TE mode) or Unchecking(TM mode) the TE (TM) check box will display and calculate for either the TE or TM field modes in the cavity. The user can add special mode and Bessel Zero function values to add modes not presently supported. Press the Calculate Rect Cavity to perform the calculations, Clear to clear the fields and reenter or Close to quit the screen.

 

LineCalc_RectCavity_TE

Figure 83 – Rectangular Cavity TE Mode

 

LineCalc_RectCavity_TM

Figure 84 – Rectangular Cavity TM Mode


MicroStrip Patch Resonators

This section calculates the Rectangular or Circular Patch resonator resonant frequency and Q for unloaded or fully loaded cavity (e.g. full of dielectric of a known Dielectric Constant). The user must input the circular diameter or the rectangular x and Y dimensions, the Dielectric Constant – Er, Tan Theta and select the material type. Press the Calculate Microstrip Cavity to perform the calculations, Clear to clear the fields and reenter or Close to quit the screen.

 

 

LineCalc_CircularPatchResonator

Figure 85 – Circular Patch Resonator

 

LineCalc_RectPatchResonator

Figure 86 – Rectangular Patch Resonator