Benford Law Analyzer
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Open toolPolarization Calculator
Find transmitted intensity with Malus’s law for an ideal analyzer. Provide Incident linearly polarized intensity, Polarizer axis angle (degrees) to compute results directly in your browser. I=I0*cos²(theta), incident light already linearly polarized. Not the first-polarizer I0/2 model for unpolarized light; intensity units retained, no absorption or safety model. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
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Enter the inputs, then select Calculate.
Your result
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Result will appear here
How the Polarization Calculator Works & Core Formula
The Polarization Calculator evaluates Incident linearly polarized intensity, Polarizer axis angle (degrees) in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.
Find transmitted intensity with Malus’s law for an ideal analyzer.
I=I0*cos²(theta), incident light already linearly polarized. Not the first-polarizer I0/2 model for unpolarized light; intensity units retained, no absorption or safety model. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
Polarization Calculator Quick Reference & Input Guide
Review the input parameters, allowed value ranges, and worked reference cases for the Polarization Calculator below before running your calculation.
| Parameter / Scenario | Default / Sample Value | Rule or Allowed Range | Output / Usage Note |
|---|---|---|---|
| Input: Incident linearly polarized intensity | 100 | Range: 0 to 1000000000.0 | Required workspace parameter |
| Input: Polarizer axis angle (degrees) | 60 | Range: 0 to 180 | Required workspace parameter |
| Worked Case 1: Baseline run (Incident linearly polarized intensity = 10) | Preloaded / test values | Find transmitted intensity with Malus’s law for an ideal analyzer | Incident linearly polarized intensity = 100; Polarizer axis angle (degrees) = 60. The displayed output is 25 intensity units. |
| Worked Case 2: Comparison scenario (polarization loss calculator) | Preloaded / test values | Find transmitted intensity with Malus’s law for an ideal analyzer | Incident linearly polarized intensity = 80; Polarizer axis angle (degrees) = 45. The displayed output is 40 intensity units. |
Step-by-Step Guide to Using the Polarization Calculator
Follow these three steps to configure Incident linearly polarized intensity, Polarizer axis angle (degrees), verify unit and boundary rules, and export your Polarization Calculator output.
Enter incident linearly polarized intensity
Enter incident linearly polarized intensity. Allowed range: 0 to 1000000000.
Input and settings
Complete the other inputs
Set polarizer axis angle (degrees). Start with already linearly polarized incident light and an ideal analyzer.
Tool result
Calculate and read the output
Select Calculate to see the transmitted intensity under Malus's law. Copy result copies this text; Download saves it as a TXT file.
Review the details
Practical Worked Examples for Polarization Calculator
These concrete scenarios illustrate how the Polarization Calculator processes baseline inputs, comparison checks, and boundary constraints.
Baseline run (Incident linearly polarized intensity = 10)
Incident linearly polarized intensity = 100; Polarizer axis angle (degrees) = 60. The displayed output is 25 intensity units.
Comparison scenario (polarization loss calculator)
Incident linearly polarized intensity = 80; Polarizer axis angle (degrees) = 45. The displayed output is 40 intensity units.
Boundary & unit check (Polarization Calculator)
When solving for 'polarization calculator', verify that Incident linearly polarized intensity, Polarizer axis angle (degrees) use consistent units and stay within the documented scope: I=I0*cos²(theta), incident light already linearly polarized. Not the first-polarizer I0/2 model for unpolarized light; intensity units retained, no absorption or safety model. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
How to Read and Verify the Polarization Calculator Output
The output panel reports the exact result derived from Incident linearly polarized intensity, Polarizer axis angle (degrees) alongside any unit or formatting notes.
The result is the transmitted intensity under Malus's law. Estimate transmitted intensity at a chosen analyzer angle.
The initial unpolarized-light half-intensity rule is a different step and is not included in this calculation.
Numerical output shows up to 12 significant digits. Floating-point arithmetic and display rounding can affect the last digits.
- Example input
- Incident linearly polarized intensity = 100; Polarizer axis angle (degrees) = 60
- Example output
- 25 intensity units
Scope Limits, Accuracy Assumptions & Related Everyday Math Tools
Review these boundary constraints and validation rules before relying on the Polarization Calculator output.
Operational scope: I=I0*cos²(theta), incident light already linearly polarized. Not the first-polarizer I0/2 model for unpolarized light; intensity units retained, no absorption or safety model. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.
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Open toolFrequently Asked Questions About Polarization Calculator
Answers about using Polarization Calculator and understanding its results.
What formula or rule does the Polarization Calculator use?
The Polarization Calculator applies the rule: Find transmitted intensity with Malus’s law for an ideal analyzer. Enter Incident linearly polarized intensity, Polarizer axis angle (degrees) into the workspace and the tool computes the exact output in your browser.
What input parameters and units are required for Polarization Calculator?
Yes. Provide Incident linearly polarized intensity, Polarizer axis angle (degrees) using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.
What are the accuracy limits and boundary assumptions for Polarization Calculator?
I=I0*cos²(theta), incident light already linearly polarized. Not the first-polarizer I0/2 model for unpolarized light; intensity units retained, no absorption or safety model. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.
Is the Polarization Calculator free and does it keep my inputs private?
Yes. All calculations for the Polarization Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.
Get the transmitted intensity under Malus's law
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