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Photonic Crystal (PhC) Waveguide Bandgap & Defect Nanocavity Q-Factor Calculator

Easily calculate and compute photonic crystal (phc) waveguide bandgap & defect nanocavity q-factor calculator with accurate equations, live formulas, and expert guidance.

Center-to-center hole spacing pitch.

Air hole radius divided by lattice pitch a.

Silicon membrane index (typically 3.46 at 1550 nm).

FWHM transmission linewidth in picometers.

Calculated Result
127,273

Cavity Q-Factor

Cavity Q-Factor

127,273

Cavity Quality Factor Q

127273

Mid Gap Wavelength Nm

1527.3

Photonic Bandgap Width Nm

244.4

Photon Storage Lifetime Ps

103.2

127,273

Calculation Breakdown

  1. Applied FormulaCalculates the complete TE photonic bandgap (PBG) wavelength boundaries, optical defect cavity Quality Factor (Q), and photon confinement lifetimes in 2D photonic crystal membranes.Q = \frac{\lambda_0}{\text{FWHM}}, \quad \Delta\omega_{gap} \approx 0.16 \omega_0

Photonic Crystal Q-Factor Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.031.8k63.6k95.5k127.3kCavity Q-Factor

What Is the Photonic Crystal (PhC) Waveguide Bandgap & Defect Nanocavity Q-Factor Calculator?

This tool computes photonic crystal (phc) waveguide bandgap & defect nanocavity q-factor calculator with high precision arithmetic.

How Does the Photonic Crystal (PhC) Waveguide Bandgap & Defect Nanocavity Q-Factor Calculator Work?

Calculates the complete TE photonic bandgap (PBG) wavelength boundaries, optical defect cavity Quality Factor (Q), and photon confinement lifetimes in 2D photonic crystal membranes.

Photonic Crystal (PhC) Waveguide Bandgap & Defect Nanocavity Q-Factor Calculator Formula & Variables

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

Q=λ0FWHM,Δωgap≈0.16ω0Q = \frac{\lambda_0}{\text{FWHM}}, \quad \Delta\omega_{gap} \approx 0.16 \omega_0

Calculates the complete TE photonic bandgap (PBG) wavelength boundaries, optical defect cavity Quality Factor (Q), and photon confinement lifetimes in 2D photonic crystal membranes.

How to Use the Photonic Crystal (PhC) Waveguide Bandgap & Defect Nanocavity Q-Factor Calculator

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

Step-by-Step Example Calculation

Photonic Crystal (PhC) Waveguide Bandgap & Defect Nanocavity Q-Factor Calculator Example

Input Values:

latticeConstantNm:420
holeRadiusOverPitchRatio:0.28
membraneRefractiveIndexN:3.46
measuredCavityLinewidthPm:12
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Cavity Q-Factor.

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.

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