Figure-Eight Loop Transmission
Calculate an idealized nonlinear-loop-mirror transmission for a figure-eight cavity.
Description
An idealized figure-eight nonlinear loop mirror converts phase difference to sine-squared switching transmission.
An idealized figure-eight nonlinear loop mirror converts phase difference to sine-squared switching transmission. Insertion losses scale the output.1
Calculate an idealized nonlinear-loop-mirror transmission for a figure-eight cavity.
When to use Figure-Eight Loop Transmission
Use this tool to calculate an idealized nonlinear-loop-mirror transmission for a figure-eight cavity.
Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
How to use Figure-Eight Loop Transmission and understand its results
- Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
- Enter nonlinearPhaseRadians, insertionTransmission using the field table and calculation rules, then run the tool.
- Read switchingTransmission, outputTransmission. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| nonlinearPhaseRadians | Loop nonlinear phase (rad) | number | Required |
| insertionTransmission | Insertion transmission | number; minimum: 0; maximum: 1 | Required |
Enter finite signed nonlinear phase and insertion fraction 0–1. Return switching and output transmissions.
switching=sin²(phase/2); output=switching×insertion Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| switchingTransmission | Figure-eight switching transmission | number; minimum: 0; maximum: 1 |
| outputTransmission | Transmission after insertion loss | number; minimum: 0; maximum: 1 |
{
"input": {
"nonlinearPhaseRadians": 3.141592653589793,
"insertionTransmission": 0.8
},
"output": {
"switchingTransmission": 1,
"outputTransmission": 0.8
}
}Limitations and assumptions
No coupler imbalance, polarization, gain or pulse dynamics is modeled.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Figure-Nine Loop Transmission: Calculate idealized complementary-port transmission for a figure-nine nonlinear loop. For a complementary task, use Nonlinear Length: Calculate nonlinear length and accumulated self-phase modulation.
References
-
Figure-Eight Loop Transmission — tool.io
Similar or alternative tools
- Figure-Nine Loop Transmission
Calculate idealized complementary-port transmission for a figure-nine nonlinear loop.
- Nonlinear Length
Calculate nonlinear length and accumulated self-phase modulation.