This calculator is used to find the Peak power of an Optical or RF pulse. It also gives the RMS power.

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**Introduction**

In the picture below, the Pulse Width is **dT** and it repeats with a period **T**

**What is duty cycle of a signal?**

The **duty cycle** is the fraction of time for which the pulse is On. Mathematically it is computed as the ratio **dT/T**. If the pulse has a width of 0.1 second and repeats every 10 seconds, the duty cycle is 0.01 or 1%.

**Calculator**

Use the tool below to calculate the Peak power. Enter

- Average power,
- Pulse width and
- Pulse repetition time

The peak power formula is

**P _{peak} = P_{avg} * T/dT**

where

**P**is the peak power_{peak}**P**is the average power_{avg}

The average power is directly proportional to the pulse width dT and inversely proportional to the pulse period T.

**How is this formula derived?**

**P _{peak}** is the energy associated with every pulse and therefore

**P**

_{peak}= E/dT**P _{avg} ** is the energy averaged over the period T,

**P**

_{avg}= E/TSolving for E, **P _{peak} *dT = P_{avg} *T**

or **P _{avg}** =

**P**

_{peak}*dT/T**Example Calculation**

For an average power of 10 Watt, dT = 0.1 second and T = 1 second, the duty cycle is 10% and the peak power is 100 Watt.

**Application**

Peak power and average power are two important measurements in the field of electrical engineering.

**Peak power** refers to the maximum power output achieved by a system during a specific time interval. In the above case referred to as **dT**. It measures the highest level of power that is sustained for a short duration.

On the other hand,** Average power** represents the power output over a longer period of time. In the above case **T**. It takes into account the fluctuations and variations in power levels.

Peak vs Average power analysis helps to understand the overall power consumption and performance of a system. Peak power is useful for analyzing short bursts of power, such as in high-speed electronic circuits or in communication systems during transmission of data packets.

Average power, on the other hand, provides a more accurate representation of the power consumed by a system over an extended period of time. **Therefore, both peak power and average power are important parameters to consider when analyzing the power characteristics of a system.**

**References**

[1] Photonics Technical Note by Newport Solutions

[2] Wikipedia article on Power