die Ausstrahlung
charisma
The special, personal effect a person has on others; charisma.
Die Schauspielerin hat eine faszinierende Ausstrahlung.
The actress has a fascinating charisma.

charisma / broadcast / radiation
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charisma
The special, personal effect a person has on others; charisma.
Die Schauspielerin hat eine faszinierende Ausstrahlung.
The actress has a fascinating charisma.

'Ausstrahlung' (charisma/broadcast/radiation) is derived from the verb 'ausstrahlen' (to radiate, to broadcast), which means 'to shine outward' or 'to transmit.' This idea connects all meanings: a person radiates charisma, a broadcaster transmits a program, and an object radiates heat.
Die Sonne strahlt Wärme und Licht aus.
The sun radiates heat and light.
The context reveals the meaning: if people are being discussed, charisma is meant. If it is about media like TV or radio, it means a broadcast. In scientific or technical texts, it usually refers to the emission of energy.
Der Redner hatte eine unglaubliche Ausstrahlung und begeisterte das Publikum.
The speaker had incredible charisma and inspired the audience.
When talking about charisma, 'Ausstrahlung' (charisma) is often combined with the verb 'haben' (to have) and adjectives such as 'positiv' (positive), 'stark' (strong), 'natürlich' (natural), or 'sympathisch' (likable/warm).
Er hat eine sehr sympathische Ausstrahlung.
He has a very warm charisma.
In a media context, typical combinations are 'die Ausstrahlung einer Sendung' (the broadcast of a program), 'die Erstausstrahlung' (the first broadcast), or time expressions like 'während der Ausstrahlung' (during the broadcast).
Die Erstausstrahlung der Serie hatte Rekordquoten.
The first broadcast of the series had record ratings.
The meaning 'emission of energy' is mainly used in technical language, for example in physics, meteorology, or construction engineering.
Der Bericht analysiert die thermische Ausstrahlung des Gebäudes.
The report analyzes the building's thermal radiation.
effect / impact
'die Wirkung' and 'die Ausstrahlung' can both describe the impression someone makes on others. 'Wirkung' is broader: a picture, a room, or a situation can also have a certain impact or impression. 'Ausstrahlung' is used especially for people, when their manner, presence, or energy affects others. When you mean the general impression, 'Wirkung' fits. When you mean a person's personal, often positive effect, 'Ausstrahlung' is more precise.

Die Ausstrahlung meiner neuen Kollegin ist sehr freundlich.
My new colleague has a very friendly presence.
Das helle Kleid hatte auf der Feier eine elegante Wirkung.
The bright dress made an elegant impression at the party.