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Length of Cavity Calculator

Formula Used:

\[ L_c = \frac{\lambda \times m}{2} \]

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1. What is Length of Cavity?

Length of Cavity is a physical measure representing the distance between the two reflective surfaces (mirrors) of an optical cavity. It plays a crucial role in determining the resonant frequencies and modes of the cavity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_c = \frac{\lambda \times m}{2} \]

Where:

Explanation: This formula calculates the length of an optical cavity based on the photon wavelength and the mode number, which indicates the number of half-wavelengths that fit into the cavity space.

3. Importance of Cavity Length Calculation

Details: Accurate cavity length calculation is essential for designing optical resonators, laser cavities, and other photonic devices where precise control of resonant modes is required.

4. Using the Calculator

Tips: Enter photon wavelength in meters and mode number as a positive integer. Both values must be valid (wavelength > 0, mode number ≥ 1).

5. Frequently Asked Questions (FAQ)

Q1: What is an optical cavity?
A: An optical cavity is an arrangement of mirrors that forms a standing wave resonator for light waves, commonly used in lasers and optical resonators.

Q2: What does the mode number represent?
A: The mode number indicates the number of half-wavelengths that fit into the cavity space between the two mirrors.

Q3: Why is cavity length important in laser design?
A: Cavity length determines the resonant frequencies, mode spacing, and overall performance characteristics of laser systems.

Q4: Can this formula be used for different types of cavities?
A: This formula is primarily used for simple Fabry-Perot cavities. Other cavity configurations may require different calculations.

Q5: What units should be used for wavelength?
A: Wavelength should be entered in meters for consistent results with the formula. Convert from other units if necessary.

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