Transmittance Calculator

Transmittance Formula:

\[ t = \left( \sin\left( \frac{\pi}{\lambda_o} \cdot n_{ri}^3 \cdot r \cdot V_{cc} \right) \right)^2 \]

Wavelength of Light:

Refractive Index:

Length of Fiber:

Supply Voltage:

Transmittance:

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1. What is Transmittance?

Transmittance is a measure of the ability of a material to allow light to pass through it. It represents the fraction of incident light that is transmitted through a medium.

2. How Does the Calculator Work?

The calculator uses the transmittance formula:

\[ t = \left( \sin\left( \frac{\pi}{\lambda_o} \cdot n_{ri}^3 \cdot r \cdot V_{cc} \right) \right)^2 \]

Where:

\( t \) — Transmittance (dimensionless)
\( \pi \) — Archimedes' constant (≈ 3.14159)
\( \lambda_o \) — Wavelength of light (m)
\( n_{ri} \) — Refractive index (dimensionless)
\( r \) — Length of fiber (m)
\( V_{cc} \) — Supply voltage (V)

Explanation: The formula calculates transmittance based on the sine function of a complex argument involving wavelength, refractive index, fiber length, and supply voltage.

3. Importance of Transmittance Calculation

Details: Accurate transmittance calculation is crucial for optical fiber design, telecommunications, photonics engineering, and understanding light-matter interactions in various materials.

4. Using the Calculator

Tips: Enter wavelength in meters, refractive index (dimensionless), length in meters, and supply voltage in volts. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of transmittance values?
A: Transmittance values range from 0 (no transmission) to 1 (complete transmission), representing the fraction of light transmitted.

Q2: How does refractive index affect transmittance?
A: Higher refractive index materials typically have different light transmission properties, which is reflected in the cubic term in the formula.

Q3: Why is supply voltage included in the formula?
A: The supply voltage may represent an applied electric field that affects the optical properties of the material in electro-optical applications.

Q4: What are typical wavelength values for optical fibers?
A: Common wavelengths used in fiber optics are 850 nm, 1300 nm, and 1550 nm (0.00000085 m, 0.0000013 m, and 0.00000155 m respectively).

Q5: Are there limitations to this formula?
A: This specific formula may have limitations depending on material properties, temperature conditions, and the specific optical configuration being modeled.