Skip to main content
CalcPro

Arrayed Waveguide Grating (AWG) Channel Spacing (Δf) & Free Spectral Range (FSR) Calculator

Easily calculate and compute arrayed waveguide grating (awg) channel spacing (δf) & free spectral range (fsr) calculator with accurate equations, live formulas, and expert guidance.

Nominal ITU grid center carrier.

Core effective index of arrayed waveguide arms.

Array path length difference integer multiplier.

Spatial separation between adjacent output channels.

Aperture pitch of array arms at star coupler boundary.

Rowland circle focal radius.

Calculated Result
91.9 GHz

Channel Spacing (Δf)

Channel Spacing (Δf)

91.9 GHz

Channel Frequency Spacing Ghz

91.9

Channel Wavelength Spacing Nm

0.737

Free Spectral Range Fsr Nm

34.4

Free Spectral Range Fsr Thz

4.3

91.9 — GHz

Calculation Breakdown

  1. Applied FormulaSizes planar silica-on-silicon Arrayed Waveguide Gratings (AWG), calculating array arm path differences (ΔL), Free Spectral Range (FSR), and optical channel frequency demultiplexing spacings.\Delta f = \frac{c}{\lambda_0^2} \Delta\lambda, \quad \frac{dx}{d\lambda} = \frac{R m}{d_a n_c}

AWG WDM Demux Design Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.023466992Channel Spacing (Δf)

What Is the Arrayed Waveguide Grating (AWG) Channel Spacing (Δf) & Free Spectral Range (FSR) Calculator?

This tool computes arrayed waveguide grating (awg) channel spacing (δf) & free spectral range (fsr) calculator with high precision arithmetic.

How Does the Arrayed Waveguide Grating (AWG) Channel Spacing (Δf) & Free Spectral Range (FSR) Calculator Work?

Sizes planar silica-on-silicon Arrayed Waveguide Gratings (AWG), calculating array arm path differences (ΔL), Free Spectral Range (FSR), and optical channel frequency demultiplexing spacings.

Arrayed Waveguide Grating (AWG) Channel Spacing (Δf) & Free Spectral Range (FSR) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Δf=cλ02Δλ,dxdλ=Rmdanc\Delta f = \frac{c}{\lambda_0^2} \Delta\lambda, \quad \frac{dx}{d\lambda} = \frac{R m}{d_a n_c}

Sizes planar silica-on-silicon Arrayed Waveguide Gratings (AWG), calculating array arm path differences (ΔL), Free Spectral Range (FSR), and optical channel frequency demultiplexing spacings.

How to Use the Arrayed Waveguide Grating (AWG) Channel Spacing (Δf) & Free Spectral Range (FSR) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Arrayed Waveguide Grating (AWG) Channel Spacing (Δf) & Free Spectral Range (FSR) Calculator Example

Input Values:

centerWavelengthNm:1550
effectiveIndexNeff:1.45
gratingDiffractionOrderM:45
outputWaveguidePitchDOutputUm:8
arrayPitchDArrayUm:12
starCouplerFocalLengthRUm:4200
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required GHz.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.