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Total Internal Reflection (TIR) Critical Angle & Evanescent Penetration Calculator

Easily calculate and compute total internal reflection (tir) critical angle & evanescent penetration calculator with accurate equations, live formulas, and expert guidance.

Refractive index of higher-index prism or fiber core.

Refractive index of lower-index cladding or liquid (water = 1.33).

Arrival angle (must exceed critical angle).

Excitation laser wavelength.

Calculated Result
216.1 nm

Evanescent Penetration Depth

Evanescent Penetration Depth

216.1 nm

Evanescent Penetration Depth Dp Nm

216.1

Critical Angle Of Reflection Deg

61.04

Incidence Excess Angle Above Crit Deg

6.96

Power Reflectance Percent

100

216.1 — nm

Calculation Breakdown

  1. Applied FormulaCalculates the optical critical angle and decaying evanescent field penetration depth for total internal reflection fluorescence (TIRF) microscopy and optical waveguide sensors.d_p = \frac{\lambda}{2\pi\sqrt{n_1^2\sin^2\theta - n_2^2}}

TIR & Evanescent Depth Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.054108162216Evanescent Penetration Depth

What Is the Total Internal Reflection (TIR) Critical Angle & Evanescent Penetration Calculator?

This tool computes total internal reflection (tir) critical angle & evanescent penetration calculator with high precision arithmetic.

How Does the Total Internal Reflection (TIR) Critical Angle & Evanescent Penetration Calculator Work?

Calculates the optical critical angle and decaying evanescent field penetration depth for total internal reflection fluorescence (TIRF) microscopy and optical waveguide sensors.

Total Internal Reflection (TIR) Critical Angle & Evanescent Penetration Calculator Formula & Variables

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

dp=λ2πn12sin⁡2θ−n22d_p = \frac{\lambda}{2\pi\sqrt{n_1^2\sin^2\theta - n_2^2}}

Calculates the optical critical angle and decaying evanescent field penetration depth for total internal reflection fluorescence (TIRF) microscopy and optical waveguide sensors.

How to Use the Total Internal Reflection (TIR) Critical Angle & Evanescent Penetration Calculator

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

Step-by-Step Example Calculation

Total Internal Reflection (TIR) Critical Angle & Evanescent Penetration Calculator Example

Input Values:

coreMediumIndexN1:1.52
outerMediumIndexN2:1.33
incidentAngleDeg:68.0
laserWavelengthNm:633.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required nm.

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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