Does a spherical wavefront thicken as it moves outwards ?

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When a flash of light is emitted spherically, its duration can appear different to two observers at varying distances, depending on the medium. In a vacuum, the duration remains unchanged for both observers. However, in a medium like air, the situation can vary; typically, no significant change is expected. For very short pulses, the observer farther away may perceive a longer duration, while specific preparations of the pulse could lead to the distant observer recording a shorter duration. The outcome hinges on the shape of the flash and the properties of the medium through which the light travels.
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If a flash of light is emitted spherically and this is measured in terms of its duration by two distant observers with one twice as far away from the source as the other, and the source and observers are all at rest with respect to each other, will the flash appear to have the same duration for both observers.
 
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It depends on the shape of the flash and the medium the light is in. In vacuum, there is no change at all.

In most setups with a medium (for example, air), I would not expect any significant change
For very short pulses, the distant observer might record a longer pulse.
If you prepare the pulse in the correct way, the distant observer can observe a shorter pulse.
 
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