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Resolution Calculator Wavelength Distance

Resolution with Distance Equation:

\[ res\_dist = \frac{\lambda}{2 \times \sin(\theta/2)} \]

meters
radians

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1. What is the Resolution with Distance Equation?

The resolution with distance equation calculates the minimum resolvable detail based on wavelength and angle. It's commonly used in optics and imaging systems to determine system performance.

2. How Does the Calculator Work?

The calculator uses the resolution equation:

\[ res\_dist = \frac{\lambda}{2 \times \sin(\theta/2)} \]

Where:

Explanation: The equation shows that resolution improves with shorter wavelengths and larger angles.

3. Importance of Resolution Calculation

Details: Calculating resolution is essential for designing optical systems, evaluating imaging capabilities, and determining the smallest detectable features.

4. Using the Calculator

Tips: Enter wavelength in meters and angle in radians. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for wavelength?
A: The calculator expects wavelength in meters. Convert nanometers to meters by multiplying by 10-9.

Q2: How do I convert degrees to radians?
A: Multiply degrees by π/180 (approximately 0.0174533) to convert to radians.

Q3: What does the resolution value represent?
A: It represents the smallest distance between two points that can be distinguished as separate entities.

Q4: What factors affect resolution?
A: Resolution depends on wavelength, angular separation, and the quality of the optical system.

Q5: Can this be used for any wavelength?
A: Yes, the equation works for any electromagnetic wavelength, from radio waves to X-rays.

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