Quick Answer
The phased array element active impedance shift with scan angle and mutual coupling calculator computes active impedance shift from the input values you provide.
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Find Engineering Solutions →Result Interpretation
Phased Array Element Active Impedance Shift with Scan Angle and Mutual Coupling calculator computes Active impedance shift in ohm using the defined engineering formula and the input values provided. Active impedance shift is expressed in ohm. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Scan angle from broadside = 0
- Mutual coupling phase offset = 0
- Normalized mutual coupling magnitude = 0
- Reference characteristic impedance = 50
Expected Result:
- Active impedance shift = 0
Engineering Interpretation:
Under the given input conditions, the calculated result is: Active impedance shift = 0 ohm.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
active impedance shift = reference characteristic impedance * (1 - pow(cos(scan angle from broadside), 2)) * (1 + normalized mutual coupling magnitude * sin(mutual coupling phase offset))Active impedance shift.
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| theta_scan | Scan angle from broadside | INPUT | Scan angle from broadside |
| phi_coupling | Mutual coupling phase offset | INPUT | Mutual coupling phase offset |
| k_mutual | Normalized mutual coupling magnitude | INPUT | Normalized mutual coupling magnitude |
| Z0 | Reference characteristic impedance | INPUT | Reference characteristic impedance |
| active_impedance_shift | Active impedance shift | OUTPUT | Active impedance shift |
Calculation Steps
- Enter the scan angle from broadside in rad.
- Enter the mutual coupling phase offset in rad.
- Enter the normalized mutual coupling magnitude in dimensionless.
- Enter the reference characteristic impedance in ohm.
- Step 1: Compute active impedance shift.
- Read the active impedance shift (ohm) from the results.
Frequently Asked Questions
What does this calculator calculate?
The Phased Array Element Active Impedance Shift with Scan Angle and Mutual Coupling calculator estimates Active impedance shift based on the input parameters you provide
Why is scan angle from broadside important in this calculation?
scan angle from broadside is used directly in the calculation of active impedance shift. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter scan angle from broadside in rad, the calculator uses it in the engineering formula to compute the output
How should I interpret the result active impedance shift?
The calculator outputs active impedance shift in ohm. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Scan angle from broadside (rad), Mutual coupling phase offset (rad), Normalized mutual coupling magnitude (dimensionless), Reference characteristic impedance (ohm). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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